diff --git "a/data/dm_maths/full_data_2/10522_11255.jsonl" "b/data/dm_maths/full_data_2/10522_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10522_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(l) = l**3 - 3*l**2 + 2*l - 2. Let p = 6 + -3. Let g be q(p). Suppose -21 = -5*u + g. Solve -4 = u*j + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -100, 4.\nAnswer: -100, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146176 and 7744.\nAnswer: 17687296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-9 - -17). What is the units digit of s - 2 - (0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c34 (base 15) to base 5\nAnswer: 41444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 + g. Let p be l(-2). Let k be (1 + -3 + p)*1. Suppose k = -q - 9824 - 7176. Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quk when three letters picked without replacement from {q: 3, u: 4, k: 13}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141419, -141654, -142045, -142592, -143295, -144154, -145169?\nAnswer: -146340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*x = -22, -2*k + 5*x + 6 + 10 = 0. Let g be ((-1)\/k)\/((-3)\/(-30)). Suppose -4*c = -g*c + 52. Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6*g + 13*g - 4, -5*i + 3*g + 34 = 0. Solve -2*b = i*c + 12, 3*b + 3*c = 2*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 151, 255, 371, 499?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaoavooiowvog. What is prob of sequence vo?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2003533 + -4885408. Let z = -2881874.2999986 - b. Let j = z - 0.7. What is j rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 13*h + 11. Calculate p(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1153*c - 18. Let j be b(-6). Let d = -3186 - j. Round d to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.358 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 113\/86, -41, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.2 or -4?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 9 + 7\/2*l**2 - 8\/3*l**3 - 5*l + 1\/4*l**4. Let v(w) = w**2 - 4*w + 2. Let x be v(5). What is y(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 - 4*g - 1. Let b(d) = 18*d**3 + 6*d**2 + 11*d + 4. Let k(i) = -b(i) - 3*y(i). Let q(a) = a**3 - a - 1. Determine -k(l) - q(l).\nAnswer: 14*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-115)*(-1 + -1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -122*b**2 - b + 1. Let d be w(1). Let m = d + 124. Solve -2*r - p - 3 = 4, -m*p + 7 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9732537*q + 164444416 with respect to q.\nAnswer: -9732537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 31791*d**2 - 4*d + 111448*d**2 + 34887*d**2. Let i be v(4). Round i to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + n + 66 = -3*z - 3*n - n, -222*z - 407 = 3*n + 400 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - 1) - (0 + 12 + 8)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 577609 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*o - 2*y - 6, -2*y = 3*o - 6. What is the nearest to 0 in o, 0.4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73, 646, 2213, 5272, 10321, 17858, 28381?\n\"Answer: 83*q**3 - q**2 - 5*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5465 + -4.9. Round w to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 558*a**2*h + 1010*a**2 wrt h.\nAnswer: 558*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60782 is divided by 1453.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087896 is divided by 155?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:02 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 < 1623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1300001*o + 1. Suppose -2 = q - 5. Suppose q*i = -2 + 5. Let f be n(i). What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1539)*-1)**2 - sqrt(190)\/sqrt(490)).\nAnswer: -sqrt(19)\/7 + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036019 to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(1360\/17) - 2\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 6996, -2\/21 in ascending order.\nAnswer: -3\/5, -2\/21, 6996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 3653 + 11907 = 0. Let u = -665 - j. What are the prime factors of u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5198801.\nAnswer: 29, 179269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161.5 + 222. Let x = s + -60. What is the closest to -0.3 in x, -0.2, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 + 4*d + 5. What is b(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 14, -4, 70, 0 in ascending order.\nAnswer: -4, -3, 0, 3, 14, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let u(t) = 157*t**2 - 436*t**2 - 405*t**2 - 239*t**2. Give m(u(w)).\nAnswer: 923*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/7*s - 10\/7 + 2\/7*s**2 = 0. What is s?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/970 and 25\/165773.\nAnswer: 1657730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-306)\/42 + 2\/7 + 11. Solve i - 7 = 3*a, -2*a - 2*i - 6 = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88151*a**3*q**3*v + a**3*q**2*v + 11*a**3*q**2 + 5*a**2*q**2*v - 2*a**2*q*v**3 - 2*q**3*v**3 - 4*v wrt q?\nAnswer: 528906*a**3*v - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703411 is divided by 100484?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((527\/68)\/(-31))\/((-4)\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 0, 5*x + 84 = -5*t + 339. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11584903?\nAnswer: 11, 67, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 76. Let k be d(28). Let o = -259 - k. Solve 2*a = i + 7*a + 29, -2*i - a - o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12330 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15364*b + 3. Let i(y) = -7692*y - 1. What is 5*i(t) + 2*j(t)?\nAnswer: -7732*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - b + 4*b)*(3*b**2 - 5*b**2 + 0*b**2) as m*b**2 + a*b + q + c*b**3 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-135)\/(-10)))\/((-80)\/1560)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41759806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 8. Let h be l(-5). Suppose -3*x - 16 = -0*s + 5*s, -s = -2*x - 2. Let f = 0.55 - 0.77. What is the third biggest value in f, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 312*d + 72*d + 4503 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011011 + -100?\nAnswer: 10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 0*i)*(5*i - 4*i + 0*i) + i**2 - 3*i**2 + 0*i**2 + (i + i - i)*(23*i - 91*i + 30*i).\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l = 98*l - 15. Let n be (l\/12*-4)\/((-1)\/5). Which is the second smallest value? (a) -2\/3 (b) -0.1 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*d + 3*d + 10, 0 = -3*s - 2*d - 4. Solve -a - 3*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -537719*c**3 - 55*c**2 - 1959*c.\nAnswer: -3226314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24569057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-60) - (-6349)\/70. Calculate the greatest common factor of 676 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129118, -129091, -129042, -128965, -128854, -128703, -128506, -128257?\n\"Answer: o**3 + 5*o**2 + 5*o - 129129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8732.83 hours?\nAnswer: 31438188000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 21*y**2 + 15*y + 30. Let x(b) = b**3 - 13*b**2 - 7*b - 15. Let c(d) = -3*j(d) - 5*x(d). Give c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and ((-9)\/(-6))\/((-30)\/(-140))?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 769990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3651*j + 4405*j + 354464 = 0 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69398?\nAnswer: 2, 7, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.09342kg in tonnes?\nAnswer: 0.08909342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 12. Let l(z) = 2*z**2 - 6*z + 6. Let k(s) = -3*s**2 + 7*s - 7. Let c(i) = g*k(i) + 7*l(i). Let d(n) = 2*n. Calculate d(c(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 20*o**3 - 24*o**2 + 20*o + 22.\nAnswer: 2*(o - 11)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 + 3*v - 25. Let i be t(-4). What is the second smallest value in 0.08, 0.3, i?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/(-42)*2*21\/(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h - 5*h = -12*h - 6612. What is the highest common divisor of 232 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*f - 10 = 27*r - 32*r + 2*f, -5*f = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7508 and 3797171.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 29954, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/32 and 87\/4980208.\nAnswer: 9960416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 358\/7 + 2\/7*j**2 + 360\/7*j.\nAnswer: 2*(j + 1)*(j + 179)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243\/568 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = -m + 4*j, 0 = 5*m + 2*j - 116. What is the greatest common divisor of m and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 217 = -5*d + 3*d + 199, 4*d + 5*w + 16 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594349465?\nAnswer: 5, 919, 129347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 90 - y**2 - 9*y - 269 + 86.\nAnswer: -y**2 - 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.1322 to zero decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 396*i**2 - 532*i**2 - 22*i**2 + i.\nAnswer: -2*i**3 - 950*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38848353, 77696698, 116545043, 155393388?\nAnswer: 194241733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6*5*3. Let l be (6\/3)\/(-2 + 0). Let f = -10 - -6. Put f, l, h in increasing order.\nAnswer: h, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 + 3600205*p\/2 + 2592295208405\/4.\nAnswer: 5*(p + 720041)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 11*i + 15. Let d be s(-10). Suppose -5*x - 9 = 2*m + d, -4*m - 5*x - 8 = 0. Let l = 9 + -11. Put -4, l, m in descending order.\nAnswer: m, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac - 0?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2878161 and 56\/4971369.\nAnswer: 54685059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 3. Let r be s(4). Suppose -r*o = -95 + 20. Let h be (-539998)\/(-3) - (-10)\/o. What is h rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*p + 8, -4*q - 12 = 2*p - q. Let l = 233 - 236. Let u = p + l. Is -7\/2 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - n**2 - 2)*(20 + 20 - 18)*(-143*n + 58*n - 224*n - 147*n - 176*n) to a + m*n**3 + q*n**2 + t*n and give m.\nAnswer: 13904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, o: 5, x: 2, s: 1}. What is prob of picking 2 o and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/15084709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-2\/13)*i*i\/i**11*i)**(-40) assuming i is positive.\nAnswer: i**(2520\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7917\/11 in -1, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/6)*b*b*b\/((b*b\/b**(2\/85)*b*b*b*b)\/b)*b*b assuming b is positive.\nAnswer: b**(607\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 26*c**2. Let q(f) be the third derivative of -7*f**5\/60 - 150*f**2. Give j(q(u)).\nAnswer: 1274*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1736 and 2232.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/sqrt(99))**2 + sqrt(152)\/(sqrt(24)\/sqrt(3)).\nAnswer: 19\/9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 146 = -232. Let k be ((-2)\/(-3))\/((-4)\/d). Let p = 47 - 48. Which is the closest to -0.1? (a) p (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:11 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*g - 167*f**3 + f**2*g - 14358*g wrt f.\nAnswer: -6*f**2*g - 501*f**2 + 2*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n = 1353 - 235 + 12 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15245*i**2 + 13*i + 2. Let t be w(1). What is t rounded to the nearest 100?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r**(-1\/3))**(-16\/3) assuming r is positive.\nAnswer: r**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/25*(156\/(-208))\/(6\/(-20))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -128012590 to the nearest one hundred thousand.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 + 867180*t - 10406880 = 0. Calculate t.\nAnswer: -173448, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62027 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161103 - -161103. Let x = -1 - -4. Suppose 2*h + 2*h = 4. What is the second smallest value in u, h, x, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(54\/(-35004)) + 8. Suppose -13*o - 317 = -v. Calculate the highest common factor of o and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:27 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z + 247. Let x be u(-13). Which is greater: 100 or x?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 6151 in descending order.\nAnswer: 6151, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/120 and -47\/1136058?\nAnswer: 22721160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 9 + 78)*(-4 + 7 - 2 + 12*f)*(0 + 0 + 1)*(2 - 1 + 1) as o + p*f and give p.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -66*t**3 + 12*t**2 + 32*t - 3. Calculate x(-2).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-18 - 6) - (-204)\/(-144)*12?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 3*l**5\/80 + 5*l**4\/6 - 181*l**3\/24 + 51*l**2\/4 + 1309*l. Suppose n(g) = 0. What is g?\nAnswer: -17, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 11 - (-1 + 1). Let i be ((-57)\/(-304))\/(105\/240). Which is the closest to 1? (a) t (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(60)\/(4*sqrt(12)))*-1.\nAnswer: -sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 13. Sort 4, r, -3 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2551415001 + -3?\nAnswer: 2551414554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 124057279 and -292.\nAnswer: 124056987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2908 + 0.1.\nAnswer: 0.3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -12.5. Let h = q - 12. Put h, -2\/9, -0.3, -2\/3 in increasing order.\nAnswer: -2\/3, -0.3, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(2\/3))\/(18\/(-12)). Let z be (-5 + 80\/15)\/(w\/(-3)). Let b(x) = -12*x**3 + x**2 + x + 1. Give b(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10771592 divided by -103573\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.20864438 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/4, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 5 - 2 + 10*f.\nAnswer: -5*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:27 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-51)*(-360 - -363)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -12 (c) 1 (d) 2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let r(t) = 3*t + 11. Let h(m) = 3*f(m) - r(m). Let k be h(-5). What is the derivative of -y - 3*y - k - y wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -102*j**3 - 12*j**2 + 11*j + 6. What is the units digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -619*s - 3084. Let w be v(-5). What is the highest common divisor of 4059 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929944867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/533, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*z - 6 = 0, 0 = 4*w - 7*w + z + 3. Suppose w = -3*q + 9. What is the remainder when 17 is divided by q - (0 + -2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -1 + -1 + 13. Let a be m\/(-52) - (-54)\/13. Let g be -4 - -4 - a\/(-18). Put g, -1\/11, -1 in ascending order.\nAnswer: -1, -1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -26. Let u = 10 - s. Let o be (u + 27\/(-15))*-20. What is the greatest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43369998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 4\/3*p**3 + 0 + 1\/4*p**4 - 2*p**2 - 5*p - 9\/20*p**5. Suppose x(u) = 0. Calculate u.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 + 5*o - 6. Let d be h(4). Is (-4299)\/(-21) - d - (-2)\/7 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 3:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-42)\/(-108)*495\/(-35).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 13\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8.4, 4, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 7662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q - 2. Let h be s(-1). Put 2, 4, h in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(3224\/460 - 7). What is the greatest common divisor of 207 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4181274492993693\/220660 + 18948946311. Let u = -8\/935 - k. Find the common denominator of u and 29\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -55206109?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/2 + 129*p**4 + 5869*p**3 - 386*p**2 - 34707*p\/2 + 11741 = 0. What is p?\nAnswer: -199, -59, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 1\/(7\/(-49))*(-10 + 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -5 + 6 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/s)**(-4))**(-37) assuming s is positive.\nAnswer: s**592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2. Let x(b) be the first derivative of 184*b**2 + 395. Give x(m(f)).\nAnswer: -1840*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1678 + 1674. Put 4, 2, a, 16, -8 in decreasing order.\nAnswer: 16, 4, 2, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 198, 453, 968, 1833, 3138?\n\"Answer: 15*n**3 - 5*n**2 - 5*n + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/4 + 57\/8. Let q = 519\/10 + -103\/2. Which is the third biggest value? (a) 2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 - r + 2. Let t be q(0). Let g be 34\/(-17)*(t\/(-2) + 0). Suppose -3*v + 0 = 9. Sort v, g, 1 in increasing order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6. Let a = -3.07 - -0.07. Let n = a - -2. What is the closest to r in -1\/3, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - -420?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 2 + ((sqrt(52) - sqrt(208)\/sqrt(4))*3 - sqrt(52))**2 + sqrt(52) + (sqrt(52) - (sqrt(156) - sqrt(156)*2)\/sqrt(3)).\nAnswer: 6*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17898?\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18\/7 + -43\/14. Let s be 938\/105 + -9 - (4\/(-15))\/4. What is the smallest value in d, s, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18160 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-8) - (15 - 30)\/60\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:38 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*q - 2*q - 12 = 0, -5*c - 5*q = 0. Solve -u + i = -3 + 4, -4*u = -c*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 110*t**2 + 1543*t - 320. What is w(26)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + t - 2 = -3*j, -j + 3*t - 10 = 0. Suppose -j*u = 4*s - 18, 0*s = 5*s - 5*u. Let b = 17 - s. What is the remainder when b is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 126*d - 45. Let l(b) = 3*b. Give l(j(p)).\nAnswer: -3*p**2 - 378*p - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwus when four letters picked without replacement from iisimwsusiuwwim?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 13*z**2 - 81*z + 409. Let y be w(9). Let i be 1\/3 - 150\/(-9). Solve 18 = b - 5*x + 5, y*b + i = -3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, -1\/3, 4, -2\/281?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12 + -2 + 101\/404?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2614 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 61858838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + 4.98. Let g = -57.5 + 55.5. What is the closest to 0.06 in r, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2442 + -2442. Solve 19*k - 5*k - 14 = c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-21) + 1\/(-3). Suppose -272 + n = -4*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 18*b**4\/11 - 56*b**3\/11 - 280*b**2\/11 - 192*b\/11 = 0.\nAnswer: -2, -8\/9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**4 - 170*r**2 + 7*r + 6364?\nAnswer: -8*r**3 - 340*r + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.5 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 5*u - u - 11 - 2*u**2.\nAnswer: -2*u**2 - 5*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 + r**4\/8 - 2*r**3\/3 - 2*r**2. Suppose 0 = a - 3*a + 12. Let q = a - 9. What is g(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1134059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574341483?\nAnswer: 3, 197, 359, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let h be m(-1). Let s be 41\/2 + 3\/(-6). Sort 1, h, s.\nAnswer: h, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11331, -11337, -11343, -11349, -11355, -11361?\n\"Answer: -6*q - 11325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -3*t - t. Let c(p) = -3*p**3 - 2*p**2 - 2. Suppose 0*u + u + 2 = 0. What is the remainder when t is divided by c(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1643 - -4?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from {a: 3, y: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*(-24)\/30*-10.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 73*u**2 - 64*u - 732. Let a be x(74). Solve -a*q - 48 = -64 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*t**4 - t**3 + 2*t**4 - 3 as z*t + h*t**3 + k + c*t**2 + s*t**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9662 - -9665. What is the second smallest value in 3.4, -2, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b + 8*b + 3*b**3 + 30*b**3 - 1 to the form g*b + o*b**2 + n*b**3 + l and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*-2*sqrt(2205)*4)**2 + -2.\nAnswer: 8064*sqrt(5) + 5080334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 11*v**2 + 11*v - 13. Let g be l(10). Suppose -2*w - 290 = -3*o, o - 5*w - g = -o. What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 - f**2 - f. Let h(d) = -d**3. Suppose 2*s = 6 - 14. Let y be 2*((s - 3) + 2). Determine y*h(t) + 2*r(t).\nAnswer: 2*t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p + 0*p**6 + 3\/70*p**7 + 10*p**2 + 0*p**3 + 0*p**4 + 3\/10*p**5 + 0. Find the third derivative of i(l) wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.277149336 - -0.2772. Round b to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18574223 to the power of 1\/2, to the nearest integer?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 11*o**2 + 5*o - 7. Let s(w) = -w**3 - 5*w**2 + w + 1. Give k(q) + 3*s(q).\nAnswer: -6*q**3 - 4*q**2 + 8*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/9 (c) -0.5609 (d) -773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q + 2. Let y(v) = 6*v. Let d(b) = -4*n(b) - 7*y(b). What is the least common multiple of 128 and d(8)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3\/5))**(-3)\/(q*q*q**(-6)*q)**(-3\/19))**(-11) assuming q is positive.\nAnswer: q**(5511\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(34\/51)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45a + -96?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150273, 150211, 150125, 150027, 149929, 149843, 149781?\nAnswer: 149755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 - 8*r - 1. Let f(i) = -i**2 - i. Let p(y) = 5*f(y) - m(y). Suppose 0 = 29*q - 12*q - 9*q + 8. What is p(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(2\/5)*o*o*o)))**(-15\/7))**(2\/11)*(o**(-1)*o*o**(-2))\/((o*o*o**(-3)*o*o)\/((o**(-4)*o)\/o*o)) assuming o is positive.\nAnswer: o**(-564\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -0.1 (b) -1 (c) 0.5 (d) -171\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/168*(-16)\/(-12)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7906, -32836, -74382, -132544, -207322?\nAnswer: -298716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 245434.3 rounded to the nearest 1000?\nAnswer: 245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 86 - 10 = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 830*l - 2489*l + 827*l + 833*l.\nAnswer: -6*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 875 + -880. Suppose -2 = 3*v - 17. Put a, 3, v in ascending order.\nAnswer: a, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4418)\/(-8) + (-6)\/24 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-17)\/j*j**(-2\/5)*(j\/j**(-6))**(8\/11) assuming j is positive.\nAnswer: j**(-677\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -69*g + 6. Let a = -10 - -9. What is the tens digit of u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -4\/3*z**6 + 23 + 32\/3*z**4 - 190\/3*z**3 + 22\/5*z**5 + 3*z + 100*z**2 + 2\/21*z**7. Suppose j(a) = 0. What is a?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*d + 216, 3*f - 4*d = 936 - 278. Calculate the greatest common divisor of 4251 and f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 181106063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 23 = 3*a. Let t = 21 + -21.3. Sort 1\/3, -4, a, t in descending order.\nAnswer: 1\/3, t, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3495307.\nAnswer: 101, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 53514 - 104699. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176459 >= 4176460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 + 570. Let c = -749 + x. Let y(u) = -17*u**2 + 9*u + 2. Let s(t) = -8*t**2 + 4*t + 1. What is c*y(f) - 13*s(f)?\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-12)\/(-32)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28200\/(-111180) - ((-2670)\/510 + -4 + 9)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017867 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(231\/72)*-21*11\/33. Let m be 2\/(-1 - -2) - -25. Suppose a = -26*f + m*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1617*r - 2. What is q(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4415, 4416, 4417, 4418, 4419?\nAnswer: 4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.447089 millennia to years.\nAnswer: 2447.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**1)\/y)**(-17)\/(y**1)**(-17))\/(y**(2\/9)*y**(2\/15)\/y*((y\/y**(3\/4))\/y*y*y)\/y**(4\/3)) assuming y is positive.\nAnswer: y**(6251\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.473 + -0.527. What is the nearest to 1 in 2\/7, w, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*m + 584*m = 1440. Let h(i) be the first derivative of 18 - 1\/3*i**3 + i - 3\/2*i**m. What is h(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -480*o*u**3 + 2*o*u**2 + 47*o*u - 1509733*u**3 wrt o.\nAnswer: -480*u**3 + 2*u**2 + 47*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 + 8*n + 6. What is the units digit of m(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 58*d**2 + 70*d - 71. Let l be z(1). Calculate the greatest common factor of l and 380.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let a = 17 - 17. Suppose 0 = n + 5*x + 5 + 7, -n + 2*x + 9 = a. Does n = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*p - 59 + 39 + p)*(7*p - 7*p - 3*p**3) in the form u*p**4 + f*p + k*p**3 + a*p**2 + n and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/3 + 5*a**5\/4 + 5*a**4\/4 - 5*a**3\/6 - 5*a**2\/2 + 14*a. Factor x(o).\nAnswer: 5*(o + 1)**3*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13302 - 3000200?\nAnswer: -3020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 5*x - x + (x - 3*x + 0*x)*(3 - 5 + 3) + 3*x - 2*x - 2*x - 32*x + 18*x + 25*x + 4*x - 2*x - 3*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 11:09 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/301652 and 127\/24?\nAnswer: 1809912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21*-28978\nAnswer: 608538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 + 5 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 - 1) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6071 (base 8) to base 11\nAnswer: -2395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-36) + 30\/(-81)*48\/(-40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24780 and 112560?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/10 (b) 0.07 (c) -4 (d) 0.06 (e) -5 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3836384 and 27472?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 2. Let c(j) = -53*j**3 + 11*j**2 + 3*j + 6. Let u(r) = 6*b(r) - 2*c(r). What is the third derivative of u(s) wrt s?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**3 + 0 + 0*o**5 - 2\/135*o**6 + 0*o**2 - 5\/189*o**7 + 0*o**4 + 4*o. Determine h so that k(h) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 2, q: 1, t: 1, z: 6, c: 3}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {c: 7, t: 5, l: 5, o: 2}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 584 = 0. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 8*b + 10. Determine q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 - 5*d**4\/4 - 17*d**3\/6 + 3*d**2 + 181*d. Calculate c(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 + 55*z\/3 + 172 = 0.\nAnswer: -43, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482669 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i. Let m = -990 + 993. Let x(o) be the second derivative of 0 + 1\/6*o**4 + 0*o**3 - m*o + 0*o**2. Give l(x(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001000010111000 - 0?\nAnswer: 1010001000010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14388\/5 - 2890. Let m = 92 - 87. Find the common denominator of (-4)\/m + (-2541)\/280 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Suppose 3*z = -2*z + 20. Suppose z*g - 18 = 10. Calculate the smallest common multiple of l and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37858057*p**3 + 49178222*p**2.\nAnswer: -227148342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -813.\nAnswer: 81.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18 - (-3)\/(-6)*8. Let h = k - -24. Solve -3*w - o - h*o = 3, -o = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*a - 26, -6*c - 11 = -5*c - 2*a. Let d(s) = 2*s**3 + 32*s**2 + 29*s + 10. Let t be d(c). Solve -t*o + 20*o = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1671, -13200, -44485, -105402, -205827?\n\"Answer: -1646*x**3 - 2*x**2 - x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1207 (b) -14 (c) -5 (d) 5 (e) 3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*b - 4*z, 4*b - 3*z = 4 + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 10*i\/3 + 52\/9.\nAnswer: 2*(i - 13)*(i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhdhhdhhd. What is prob of sequence ddhh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1028 + -1043. Sort l, -3, -2, 0 in descending order.\nAnswer: 0, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4088255853 + -143.508.\nAnswer: -4088255996.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21704655 divided by 10311.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 5*j - 7. Let m be a(-3). Solve m*x + 3 = -7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6912797 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i - 3. Suppose 0 = 3*l + 2*r - 5*r - 129, 5 = r. Let m be 5\/((-2)\/((-96)\/20)). Suppose 4*h + l = -m*h. Let v(s) = -20*s - 8. Give h*v(y) + 8*f(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(11\/2)\/((o*o*o*o\/o**(-1\/4))\/o*(o*o**(6\/13))\/o))**46 assuming o is positive.\nAnswer: o**(-4439\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0904632 meters in micrometers?\nAnswer: 90463.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 q, and 1 i when three letters picked without replacement from ffqfqfii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8 = 4*x. Let b = 30 - 21. What is the units digit of 16*b + 6\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172 smaller than -1062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13757238700 to the nearest one million.\nAnswer: 13757000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e66a (base 16) to base 11.\nAnswer: -403508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 910. Let o(l) = -182. Let y(a) = 5*o(a) + z(a). Let c(h) = -16*h - 2. Let i(p) = -3 + 3 + 4 - 3. Let r(v) = c(v) + 3*i(v). Give y(r(x)).\nAnswer: 16*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30604)\/280 + 1\/(7 + 3 + 80\/(-12)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from pjpzzpppzfphzzpzjzh.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 180487976 a multiple of 853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9*x + 110. Let z(q) = 10*q**2 - 11*q + 12. Let j(w) = w**2 - w + 1. Calculate x*j(h) - 2*z(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2, -5, 85 in ascending order.\nAnswer: -5, -3, 2, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*g - 0*g - 555, 555 = 3*g - 2*x. Let y = g - 130. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*p = 6, a + a - 3*p = -9. Suppose -5*k - 15 = -a*o + 5*o, 13 = -5*k - 4*o. Let t(g) = g**2 + 2 - 3*g**3 + g + 3 - 4. Calculate t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/3 + 18237851*l**2\/6 - 1519821*l = 0. Calculate l.\nAnswer: -9118926, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -36*k**2 + 1624*k - 184. What is l(45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*o - 75*o - 90*o)*(0 + 0 + 1) - 4*o + 3*o + 2*o to j + f*o and give f.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6885 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmzzmmzzjzzmmmj?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 + 7*q - 8. Let r = 24 + -31. Calculate the remainder when o(r) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/12)\/((x\/x**(-5))\/x))**33*((x\/(x\/x**(-5)))\/((x**2*x)\/x))\/((x**(-2\/15)*x)\/x**(1\/5)) assuming x is positive.\nAnswer: x**(-2039\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72\/91 + 5\/7. Suppose -6 = -3*u + 3*b, -3*u - 5*b = 2*u + 10. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. What is the least common multiple of s and 12 - (-22 - -3 - -24) - -1*18?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81940918 to the power of 1\/2, to the nearest integer?\nAnswer: 9052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6280.099 and -0.1.\nAnswer: -628.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - 1\/3. Find the second derivative of d + 3*d**5 - 4*d + l*d**5 wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1 + 3)*3 + (sqrt(931) + (3*sqrt(931) + sqrt(931) + 5)**2)*2.\nAnswer: 595*sqrt(19) + 29854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2 - 1. Let z(n) = -11*n**3 - 21*n**2 - 6. Determine -6*s(j) + z(j).\nAnswer: -5*j**3 - 27*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*v - 37*v + 12*v**2)*(-3*v**3 + 0 + 0)*(-4 - 4 + 36).\nAnswer: -1008*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 269 and 445733.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17136)\/1260 - 12502\/(-95).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21963592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*d + 6*p + 100, 28 = d - 4*p. Let f = 1555 - 1541. Calculate the remainder when d is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-4) - ((2 - 9800) + 1). What is the highest common factor of 68 and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -28 - 32. Suppose 3*k + 4 = 19, 0 = 3*b + 3*k - 696012. Let a be b\/(-2) + (-6)\/w. Round a to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 54527*u**2 - 926632*u + 2071380.\nAnswer: -(u - 2)*(u + 19)*(u + 54510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, 556, -22, -1.\nAnswer: -22, -4, -2, -1, 2, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*q**2*x - 910*b*q + b*x - 3*q**2 + 26*x wrt x?\nAnswer: -2*b*q**2 + b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -1\/80*r**5 + 0 - 5*r + 1\/120*r**6 - 1\/48*r**4 + 0*r**2 + 1\/24*r**3. Factor j(f).\nAnswer: f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.56 (b) 9 (c) -1088\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198115895651\/594 + -333528362. Let n = b + -921\/11. Find the common denominator of n and 71\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -119*n**2 + 477*n. Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.075, 1, 0.08, 4?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 60. What is the units digit of x(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 24. Let f be v(-5). Which is the nearest to 2\/15? (a) 2 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40963 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 + 1. Let p(s) = 8 - 8 - s. Let r be p(1). Let x be n(r). Sort x, 2, 3 in decreasing order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/5 (c) -0.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 74, -5 in ascending order.\nAnswer: -5, -4, 1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4389 - 56876*b - 9448*b**3 + 56876*b + b**2 wrt b.\nAnswer: -28344*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 77*j**4\/4 + 7*j**3\/3 + 53*j**2\/2 + 136*j. Is i(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a + 5*a + 4863 = 1629. Let c(x) = -250*x + 1. Let g be c(-1). Calculate the common denominator of -68\/21 and g\/30 - 99\/a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7277876*g**4 - 73035*g + 534 wrt g?\nAnswer: 87334512*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*s + 24, -3 = 5*p - 4*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 - 22302*q\/5 + 8416512\/5.\nAnswer: (q - 21918)*(q - 384)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 2, -12 in descending order.\nAnswer: 48, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 7843.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 7*m + 4. Calculate k(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*-1*sqrt(208) + (sqrt(208) - (sqrt(208)*1*-6 - sqrt(208))))\/(-1*(sqrt(36) + sqrt(1296))).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4. Let c = 1001 - 999. Calculate w(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -138, -235, -370, -543, -754?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050719 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -99*-184.1\nAnswer: 18225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.735255m?\nAnswer: 8735255000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3375 is divided by 282?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - 4 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 16. Suppose 76*d - 45 = 81*d. Let s be (0\/(-1))\/(11 + d). Give t(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(684)*3)**2*-3 + -2 + 2 + sqrt(684) + 2.\nAnswer: -18466 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049222175 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -25. Let l be y\/8*(-2)\/12. Let p be 13\/3 - (-3 + 14\/6). Which is the smallest value? (a) 8 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2603 = -u + 13511, 3*u = -3*x + 16128. Is 46 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - v - 13 = 0, 0*v + 7 = o - v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67.29507 tonnes?\nAnswer: 67295070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 6*q**2 + 20*q + 206. Let v be b(-5). Solve 6 = 4*y - 5*w, 8*y = v*y - 5*w - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + -22.8. Let b = 20 + i. Let y = -1 - b. Put y, 1\/2, -2\/21 in ascending order.\nAnswer: y, -2\/21, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z + 220 = -100. What is the nearest to -2 in -0.09, 0.03, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1080 - -8637\/8. Let p be ((-10)\/(-4))\/((-55)\/(-10)). Which is the closest to -1\/3? (a) p (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 40 = c. Suppose 4*x - 2 = c. What is the remainder when 3 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 2. Suppose -t - 1 = 0, -3*d = -4*t - 71 - 50. Suppose 7*p + d = -6*p. Which is the nearest to -1\/2? (a) g (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 9*f**5\/5 + 6*f - 7. Differentiate d(h) with respect to h.\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2. Let u be (-1)\/(-2)*4\/(-4)*-44. Let b(s) = -6*s + u*s - 13*s. Calculate b(p(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*0\/(3 + 1). Do f and -0.09 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4611 + 4618. What is the fifth biggest value in 0.3, y, 0.4, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216619943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/128*48)\/(42\/32).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 - 64*i - 208. Let j(s) = 4*s**2 + 43*s + 139. Let b(a) = 8*j(a) + 5*u(a). Let b(p) = 0. What is p?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(112) + 2)*2 - 2*(sqrt(112) + (sqrt(112) - sqrt(112)*2)*-1 + sqrt(112)))*-6)**2.\nAnswer: 41472*sqrt(7) + 585792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5880*o**2 - 2006*o**2 + 2.\nAnswer: 3874*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -43. What is the smallest common multiple of g and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 - 3)*(j - 4 + 4).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416.554 litres in millilitres?\nAnswer: 2416554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15220 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 - 5*b - 8. Let i = -1005 - -1010. Determine m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.92 - -0.08. Let t = 81.5 - r. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 8.77, -167\/4, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 2. Let z be (-2)\/2 + 0 + 1. Let g be d(z). Suppose 12 = g*w - w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*d - 44 = 2*g, g - 3991*d = -g - 4002*d + 244 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(((k\/(k*k**(1\/4))*k*k)\/k)\/k)))**(-3)\/(k\/k**(1\/2))**(-47))\/(k**(1\/2)*k**(-2)*k**4\/(k*k*k**4)) assuming k is positive.\nAnswer: k**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.691 - 1.031. Let l = -20.5613 + f. Round l to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -54, -3, -5 in ascending order.\nAnswer: -54, -5, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27534 divided by -26.\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 23.8 (c) -1\/5 (d) -0.4 (e) 38\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let o = -49 - -247\/5. Sort o, k, -1\/3.\nAnswer: k, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553756294915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 4\/13 (c) 4 (d) -4 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4068 and 2783190?\nAnswer: 16699140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*d - 37 = 0, 17*d = 4*p + 14*d - 38 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 + 84*y - 32. Give k(15).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55798114*b**3 - 3*b**2 - 552*b - 563 wrt b.\nAnswer: -334788684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1714 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 21*u**2 + 27*u - 44. Let x(r) = -r**3 + 7*r**2 + 9*r - 15. Let g(h) = -3*v(h) + 8*x(h). What is the remainder when 7 is divided by g(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -362*r**3 - r**2 + 3*r + 12. What is the thousands digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/(-15)*(1 + (-34)\/10). Solve -141*r = -143*r - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411160 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32403121 + -10?\nAnswer: -32403131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 32*s**2 + 33*s - 6. Let c be z(33). Let l = 5\/151 + -4424\/1359. Find the common denominator of l and (-45 + -2)*(440\/72 + c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 45 - (3 + 0) - (6 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -20)*(1 - 8\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/533 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*b + (2*b + 0*b - b)*(9 - 1 + 5))*(-25 - 8 + 48)*(2*b - 5*b + 2*b) to the form d*b**2 + w + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) + 14\/18. Let x(m) = -m**3 + 10*m**2 - 9*m + 8. Let i be x(9). Differentiate -1 - 3*d**2 + 3*d**2 - r - i*d**4 wrt d.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r + 2*r - 3409560. Let q(c) = 44129*c + 7. Let f be q(5). Let j = f - r. What is j rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*m + 10 = 0, -5*l + 9 + 14 = -3*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/43717 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -111101010101?\nAnswer: 111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-16) - ((-157)\/(-1099))\/((-4)\/(-14)). Let z = 14 - 4. Let p be (-2)\/z - (-39)\/45. Put y, p, -3 in decreasing order.\nAnswer: p, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*m + 3246*m = -1756*m - 352404 for m.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -7. Let m = b + -7. Let v = m - -22. Calculate the least common multiple of 2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12756472, 2, 5.\nAnswer: -12756472, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 59. Suppose o*z + 5*g - 554 = 1471, 0 = 3*z + 2*g - 1220. Is 59 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(325) + 1 + -3 + -5 + 4 - ((sqrt(325) - -4*(0 + sqrt(325))) + sqrt(325) - (sqrt(325) + 1)*-1))**2.\nAnswer: 240*sqrt(13) + 11721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114247 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 2578214781.\nAnswer: -2578214785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**3*l**3 - 152*d**3*t**2 + 10987*d**2*l**3*t + 2*d**2*t**2 + 2*d**2*t wrt d?\nAnswer: -54*l**3 - 912*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509 - 18449 - 2494 - 91934 - n.\nAnswer: -n - 111368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 9*f + 1. Is k(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 19*b. Suppose 5*v - 50 = -0*v. Let o be h(v). What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 7, o: 2}. Give prob of picking 2 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -190*d**2 - 1. Let a(k) = -96*k**2 + k. Let u(s) = -7*a(s) + 3*h(s). What is the second derivative of u(o) wrt o?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/9)\/(30\/(-90))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*q + 4928*q + 1821*q.\nAnswer: 6197*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 - 10*j + 20. Let l(u) = u**2 - 2*u + 4. Let d(t) = -b(t) + 5*l(t). Let n(w) = -302*w**2. What is d(n(s))?\nAnswer: -91204*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6469871 days in nanoseconds?\nAnswer: 55899685440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (282 - (0 - 1)). Let h = -153 - a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/(-28))\/(22230\/(-2730)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-8))\/(438\/(-12)))\/((-3)\/(12\/4)).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 5*v - 11. Let c be h(11). Suppose 5*n = -g + 249, 3*n + 5*g = 4*n - c. Calculate the remainder when n is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + z - 3, 0 = 3*m - z - 221 + 222. Let a(b) = 2*b**3 + b + 1. Let r(f) = f**3 + f**2 + f + 1. Give m*r(p) - a(p).\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + 3*w + 8, 0 = -3*k - 2*w + 16. Let j(x) be the first derivative of -x**3\/3 + 5*x**2\/2 + x + 3. Give j(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 1 + 1 - r + 8*r**3 to the form x + b*r**2 + y*r + u*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31 and 0.897965750912.\nAnswer: 31.897965750912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - 4 - (3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5979*h*p**2 + 2*h*p - 44*h + 2*p**2 - 8787677*p wrt h.\nAnswer: 5979*p**2 + 2*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 1\/7, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8897.856246 to the nearest integer.\nAnswer: -8898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4071, 1521, 16771, 41679, 76245?\n\"Answer: 4829*r**2 - 8895*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3\/7 - 52*p**2 + 2376*p\/7 - 288 = 0. What is p?\nAnswer: 1, 6, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.5775*-5.\nAnswer: -457.8875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 818*q**2 - 142*q + 144*q - 8*q**2 + 9 - 7 to the form f*q**2 + p*q + a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -15*f + 12*f + 1340, 5 = -w. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:06 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -2*z, 5*z + 2*y - 10 = 7*y. Let o(j) = -5*j - 1. Let q = 5 + -10. Calculate the least common multiple of z and o(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(225)*2)\/sqrt(5) + 3 - (sqrt(45) + 1 + -3 - ((sqrt(45) + (sqrt(45)*2 - sqrt(45)))**2 + -2))) + 2.\nAnswer: -21*sqrt(5) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) - (-26)\/(-169)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1119 and 2199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 - 1. Let w(m) be the third derivative of 2*m**2 - 7\/24*m**4 - m + 0 + 0*m**3. Give d(w(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1439393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(70\/147)\/10*(-6)\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/8 in 10, -2, -2\/11, 3, -25, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -338*z - 1370. What is o(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 10, -48*o + 46*o - 2 = 2*l. Let x be (2\/6)\/(4\/24). Suppose l - x = -f. Let b(w) = 3*w**2 - 2*w - 1. Determine b(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87068715 take away 8?\nAnswer: -87068723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36218 or 2169?\nAnswer: 2169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 49*y + 45*y - 932. What is the greatest common divisor of y and 834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 90 = 47*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585267781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -0.3, 1, -2795, 0 in descending order.\nAnswer: 76, 1, 0, -0.3, -2795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76285.9t?\nAnswer: 76285900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from wywylnwlwwnwl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3 + (-2 - 2)). Is (-251)\/(2\/(k - 4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c\/c**(1\/5)*c))\/(c*c*c\/c**(2\/7)*c*c\/(c**(-2\/3)*c))*(c*c\/c**(-2\/3))\/c*c**(-1)*c*(c**(2\/5)\/c)**(-1\/8) assuming c is positive.\nAnswer: c**(-683\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1065 = -1070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -47 - (-2 - (3 - 2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a. Let s(m) = 3546*m. What is c(s(x))?\nAnswer: -31914*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)*-2.\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -b94c2 (base 13) to base 2\nAnswer: -1010001101110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2835)*-4 + sqrt(2835))\/(sqrt(15)\/(sqrt(3) - sqrt(15)\/sqrt(45))).\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112287 by 1.\nAnswer: 112287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825521910?\nAnswer: 2, 5, 37, 4933843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + m - 6. Let q be x(5). Suppose 0*y = 4*y - q. Calculate the remainder when 22 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9600 - 5593. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7) - sqrt(7))*-2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose 1284 = -100*g - 7*g. Which is the second biggest value? (a) -2 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n - 10. Let m be y(4). Suppose 16*t - m*t = -4. Suppose 3*o = -5*l + 12472 + 7531, t*o + 15998 = 4*l. Round l to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41935400447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038927 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 3*d**2 + 3. Let k be c(3). Let y be 3\/(90\/(-146)) + (-162)\/1215. Put k, 8, y in ascending order.\nAnswer: y, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 30100?\nAnswer: -30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1859510*k - 1859614*k = 6032 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2\/4 - 45*v\/4 = 0. What is v?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25476*-6\nAnswer: -152856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/126 and -71\/3738.\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(195\/12)*(-16)\/(-512)*-580\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20080, -40040, -59750, -79090, -97940, -116180, -133690, -150350?\nAnswer: -166040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -121221?\nAnswer: -121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*l = 113*l + 7797. Let r = l - 330. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Let j(o) = -4*o**2 + 3*o + 2. Let g = 31131 + -31134. Let m(i) = -5*i**2 + 4*i + 3. What is g*m(x) + v*j(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let n = y - -1. Which is the nearest to 1? (a) -3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 + 954\/(-198)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60564 by -309.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-12)\/(120\/(-1079335)) - 2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48068*a - 5300*a - 17893*a + 49340*a + 27741*a.\nAnswer: 101956*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*s + 7*v, -s - 9 = -4*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9388\/2249 + 110\/173. Let v = 34143\/70 - 3345\/7. Calculate the common denominator of p and v.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Suppose -3*s + 54 - 60 = 0. What is the second smallest value in 1, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaabaaaaabaa. What is prob of sequence aaab?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37421a9 (base 11) to base 9.\nAnswer: -13212117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -244. Solve -5 = 2*m + z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s - 295 = 0. Let a = 64 + s. What is the least common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*1\/(-2)*2. Let n be t\/18 - (-33)\/(-27). Find the common denominator of 69*n\/(-8) + 2 and 125\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 - 144. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.69816+-0.01\nAnswer: -10.70816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166268249*k - 351887437.\nAnswer: -166268249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33936266 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -38 + j**3 + 11 + 18. Let k(o) = o. Calculate k(g(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*18\/162)\/(4\/(-174)). Solve 5*y + 9*x - m = 7*x, x = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384275 divided by 13?\nAnswer: 3384275\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-6 + 0 + 0)*(5*v - 3 + 3) to g + r*v and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*b - 506 = 0, 2*s + 1004 = 6*s + 4*b. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3*x - 14)*(0*x - 2*x + 3*x) + 21*x**2 - 7*x**2 + 26*x**2.\nAnswer: 43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3354, 3355, 3356, 3357, 3358?\n\"Answer: w + 3353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 greater than or equal to 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/853853 and -16\/36249941?\nAnswer: 398749351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**4 + u**3 + u + 2. Let y(p) = 4*p**3 + p + 13*p**4 + p**2 - 8 + 2*p + 15. Let b = -15 - -22. Let l(g) = b*f(g) - 2*y(g). Factor l(c).\nAnswer: c*(c - 1)*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:51 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12 + 0)*(-4)\/(-12)*(87 + -723)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4202959.\nAnswer: 4202959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.1. Which is the third biggest value? (a) 0.3 (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -w, 0*p - 12 = -p + 4*w. Let c = p + 5. Suppose 5*k + 5 = -c*i, -2*k - 11 = -i - 3. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -19880.\nAnswer: 1\/710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-190) - (-3)\/(-15). Let b = -55\/38 - m. Calculate the common denominator of -61\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77653 and -77659 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -18. Let t(j) = -j**2 + j. Let p(i) = i + 1. What is s*p(u) - t(u)?\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + 2*d**2)*(1 - 1 - 1)*(-6 + 3 + 1) - 121*d**2 - 43*d**2 + 143*d**2 - 179*d**2.\nAnswer: -196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0\/n)\/n**(1\/6))\/(n\/n**0*n)**40 assuming n is positive.\nAnswer: n**(-481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + 246\/(-10). Let c be (5 + -2 - 5) + -21. Let s = p - c. What is the second biggest value in -1, s, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 8*c + 11. What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3380*t**4 + 891*t**2 + 677*t**2 - 2788*t**2 - 4157*t**2 wrt t.\nAnswer: 81120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1498*k - 14178. What is the remainder when o(-15) is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54134 divided by 14?\nAnswer: 27067\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -b - 3*j - 9, 2*b - 2*j = 46. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2. Let o(s) = 1. Let i(g) = -4 + g**2 + g**2 - 2. Let d(a) = i(a) + 6*o(a). Calculate c(d(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 355827745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -3*x + 0 - 1\/40*x**6 + 3\/80*x**5 - 1\/8*x**3 + 1\/16*x**4 + 0*x**2. Factor n(v).\nAnswer: -3*v*(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -36, -43, -42?\n\"Answer: 4*y**2 - 27*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -872*m - 1616. What is the units digit of x(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*z - 7040 + 6890 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 2*b**2 - 3*b + 4. Let w(g) be the second derivative of -g**5\/10 - 5*g**4\/12 + 7*g**3\/6 - 9*g**2\/2 + 91*g + 2. Determine 7*h(c) + 3*w(c).\nAnswer: c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(146\/300) - 2. Let s = -17911 - -17912. Is s greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 2, -2*v = 5*g - 20. Solve 5*x + 0*x = -v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-96)\/42)\/(-8))\/((-8)\/(-14)). Let q be 6\/4 - (-2)\/(-4). Which is the nearest to -0.3? (a) 2\/3 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -14.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = 0. Let c = -1805\/13 + 139. Is c != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 2*d. Let i(m) = -m**3 - m. Suppose 2*g = -2*g + 36. Suppose w = -1 - g. Let r be (13 + w)\/((-1)\/(-2)). Calculate r*i(q) - 2*c(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 999, 3120, 6647, 11574, 17895?\nAnswer: 25604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 198 and 426168\/2149 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2101\/5 in 5, 2\/11, 893?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.834143 + -37.843. What is d rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d + 449. Let v be t(-25). Let g(u) = -37. Let m(a) = -17. Let w(s) = 6*g(s) - 13*m(s). Let l(k) = -8*k - 8. Determine v*l(z) + 8*w(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250626884.\nAnswer: 2, 62656721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 1 i when three letters picked without replacement from iitrtrzirrpziiiiz?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 936, 3901, 8866, 15837, 24820?\n\"Answer: v**3 + 994*v**2 - 24*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*a = -25, -2241*d - a + 75 = -2227*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 3, b: 2, f: 2, z: 4}. Give prob of picking 1 b and 2 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1539 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + r - 24376, -7*r = -f - r + 4900. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -30*u + 10. Is 30 a factor of a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*l + 209 = 0, l - 3*l = -2*k + 100. Let o = -55 + k. Let x be (-3)\/((-6)\/o)*(-2 - -3). Put -3, 0, x, 3 in ascending order.\nAnswer: -3, x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2562 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.0189 - 0.0189. What is the second smallest value in 0.2, 0.3, x, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o + 101. What is k(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 42\/(-4). Let n(o) = -o**3 - 10*o**2 + 10*o. Let u be n(d). Let m(p) = 29*p - 3. Let s be m(2). What is the greatest common divisor of s and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422*r - 2 = -1420*r. Let x(g) = g**2 + g + 2. Let b be x(r). Solve 3\/2*u + 9\/2 + 1\/2*u**3 - 5\/2*u**b = 0 for u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2547872*v + 849341*v + 849340*v + 849191*v - 35*v**2.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -21) + (-6 - -47) - 4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0957 times 59?\nAnswer: 5.6463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 226 + 95031?\nAnswer: 95257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + a + 3*a + 2*a - 3*a + 2*a + (0*a + 0*a + a)*(-3 - 1 + 3) - 2*a + 0 + 0 + 20*a + 2*a + 4*a.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 114108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.97 - -49. Let m = 4 + -4.03. Let c = m + n. Put 4\/5, c, -3 in ascending order.\nAnswer: -3, c, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 27*h - 52. Let x be j(29). Let b = 19 + -14. Let z(l) = -l**2 - 11 + b + 6 + 3*l. What is z(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/24*(-3)\/2. Let j = 18748\/3 - 6196. Let z = j - 52. What is the nearest to 0 in 5, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593572 (base 10) in base 12?\nAnswer: -247604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15818 + 7345 = 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y**2 - 2*y**5 - 11*y**2 - 2 - 4*y**5 + y**5 + y**5 + (-5*y**3 + 2*y**3 + 4*y**3)*(-2*y**2 + 2*y**2 - 2*y**2).\nAnswer: -6*y**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let y(c) = 3482*c**2 - 5881*c**2 - 5019*c**2 - 9372*c**2 + 3290*c**2. Calculate y(w(v)).\nAnswer: -54000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i + (-4 + 1 + 5)*(2*i + 2 - 2) - i + 4*i - i - 18*i - 3*i + 4*i)*(0 + 1 - 3).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.4 (b) 1 (c) 0 (d) 1\/12 (e) 3995 (f) 4 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5013 - -10008. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20318 - 1272. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-48)*28\/6*2686\/9401.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4957 - 4957 + 20*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1 (c) -0.162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21088746.\nAnswer: 2, 3, 7, 19, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*v - 0*v. Let a = v + 14. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 0, -2*q = 4*a - 3*a - 294. Calculate the greatest common factor of 828 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 3, w: 2, h: 3, l: 10}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1687.136l?\nAnswer: 1687136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 2. Let z be s(4). Let f be 0*(-4 + (-7)\/(-2)). Suppose 2*c - 3*c + 28 = f. What is the greatest common divisor of z and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 2. Suppose -3*o = 5*k - 22, 0 = -k - 0*k + 3*o - 10. Let r(a) = -a**k - 3*a**2 - a - v*a. What is r(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*f - 130 = -f, 23 = t - 2*f. Let o = -23 - -33. Calculate the greatest common factor of t and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j = 74*j + 94*j + 6748 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4610 is divided by 2407?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40947 - 40944. Let m = -3 + 7. What is the nearest to 0.1 in m, a, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2, 1, 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -81500 divided by 25\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-1)\/(-2)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**5\/15 - 4*g**3\/9 - 123. Factor d(s).\nAnswer: s**2*(s - 2)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(117) + 2)**2 - sqrt(117)) + 1*sqrt(117)*1 + -1*((sqrt(117) - -3*sqrt(117))*1)**2)*-2.\nAnswer: -24*sqrt(13) + 3492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 + 2)\/9)\/((-2)\/30). Let z(g) = 4 - 3*g + 1 + 2*g. Let x(u) be the third derivative of -2*u**3\/3 - 41*u**2. Give n*x(j) - 4*z(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**2 + 49*k - 1\/42*k**4 - 1\/21*k**3 + 0. Factor m(q).\nAnswer: -2*q*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c3 + -254b?\nAnswer: -1b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**4 + 303*v**3 + 62*v**2 + v - 8. Let f(b) = b**4 - b**3 - 13*b**2 - 2*b + 1. Let c(q) = -5*f(q) - p(q). Find the third derivative of c(m) wrt m.\nAnswer: 72*m - 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265620*n**3 + 265647*n**3 - 531268*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l**2 - 104*l - 7. Let r be d(-6). Solve -3*u - u - 12 = -4*j, 0 = -r*j - u - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 7*w + 6. Let g be z(-7). Let q(i) = -i - 3. Let o be q(-5). Suppose 0 = 4*v - o + 10. Sort 3, g, v in increasing order.\nAnswer: v, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/2)\/(-1 - 1). Suppose 2*k - 5*t = -21 + 48, 0 = k - h*t - 21. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 896*f**2 + 9296*f - 14976.\nAnswer: -4*(f - 8)*(f - 2)*(f + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6985 is divided by 350.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000099330926 to 6 dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 1. Let s be w(-1). Suppose -n = s*n - 296. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(1872)*1 + -2*sqrt(1872)*6)*-6 + -5)*-5)**2.\nAnswer: -108000*sqrt(13) + 60653425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, -3 in decreasing order.\nAnswer: 0, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*r - 6031*r + 2003*r + 1848*r.\nAnswer: -242*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - -7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 802*l - 101. Suppose -13*k + 12*k + 6 = 0. Is z(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, g: 1, k: 1, t: 1, c: 1}. Give prob of picking 1 m and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(36\/(-30)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95117, 381976, 860053, 1529330, 2389789, 3441412, 4684181, 6118078?\nAnswer: 7743085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529 - -538. Suppose -j + 1 = -4*k, 4*j - k - q = 2*j. What is the closest to -2\/3 in j, -1\/11, 1\/9, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5024 is divided by 119?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.091 - 0.309. Let t = -0.54 - -0.54. What is the closest to -3\/5 in t, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 15 + 55 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 261*x - 261*x + 4*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 365\/11 - -26*1\/(-143) - 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1770158 and 20.\nAnswer: 17701580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14001.63 rounded to the nearest 10?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4595683.6 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 162*w**2 + 482*w + 941. What is l(159)?\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 - (-8 - (-29 + 4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -2 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200117 = 11*y + 38*y + 20*y. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1125339 or -1125264?\nAnswer: -1125339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -68, -171, -366, -683, -1152, -1803?\n\"Answer: -5*n**3 - n**2 - 3*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**5 + 24*g**4 + 17*g**5 + 28*g - 6*g**5 + 38*g**4 wrt g?\nAnswer: -40*g**3 + 744*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402257 divided by 3?\nAnswer: 402257\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/13)\/((-40)\/(-24)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 4*p**3 + 24*p**2 - 7. Find the second derivative of q(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*x**2 - 479*a**2*x + a**2 - a*x**2 - 2*a*x - 5*x**2 - 339 wrt a?\nAnswer: 2*x**2 - 958*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20428931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3483*q**2*y**3 - 2096*q**2*y**2 + q*y**2 - 35*q + 27185*y**3 - y**2 wrt y.\nAnswer: -20898*q**2 + 163110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u + 4896 - 30426 = 0. List the prime factors of u.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 12. Give h(9).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.562 milligrams to tonnes.\nAnswer: 0.000000524562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10978 is divided by 3657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5\/2 - 95*a**4\/2 + 160*a**3 - 150*a**2.\nAnswer: 5*a**2*(a - 15)*(a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.0796, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*r = -2*r - 352, -15 = 3*r. Let h be p\/(-63) + (-4)\/(-14). Suppose 0*g - h*g + 159 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, -10, -0.3, -83\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(4*(sqrt(1377) - sqrt(1377)*3)**2 + sqrt(1377)) + (((sqrt(153)*2)\/sqrt(9))**2 - (sqrt(17) - (2 + sqrt(272)))**2)).\nAnswer: -3*sqrt(17) + 21943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 10*c + 10. Is j(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004554 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i**11)\/(i\/i**(2\/5))**(-18) assuming i is positive.\nAnswer: i**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 771*h**2 + 10*h + 77. Is g(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 39*j + 42*j - 43*j - 2 as h*j**2 + k*j + g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1 (b) 5.3 (c) -2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.047 and -4?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8614 a factor of 174381816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/660 and -103\/2382?\nAnswer: 262020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16900 times -13\nAnswer: -219700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 - 4*k - 1. What is the remainder when 191 is divided by t(-10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -527 + 526. Which is greater: -1\/35 or k?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q + 2 = 0. Let b(i) be the third derivative of 1\/840*i**7 + 0*i - 2*i**q + 0*i**3 + 0 - 1\/240*i**5 - 1\/480*i**6 + 1\/96*i**4. Factor b(a).\nAnswer: a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b5 (base 12) to base 16.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(7) - sqrt(63))*1 + sqrt(7))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -774*m**2*t**2 - m*t**2 + 2*m wrt m?\nAnswer: -1548*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12a (base 16) to base 13\nAnswer: -19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 40\/7*o**7 + 4*o**2 + 0 - 46\/3*o**3 + 22*o**4 - 37\/5*o**5 + 23*o - 136\/15*o**6. Determine a, given that i(a) = 0.\nAnswer: -1, 2\/15, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from {v: 4, k: 3, d: 13}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 194 = y. Let g = -62 + y. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10001100011 (base 2) to base 8\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -524.168 - 0.832. Let c = 524.99999713 + k. What is c rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = x - 8, -2*x - 24 = -5*x + 5*j. Let p(u) = -x*u - 7 + u**2 + 14 - 18. Determine p(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 342?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898072212 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: Calculate the remainder when 10657 is divided by 250.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10203030322 (base 4) to base 12.\nAnswer: -49630a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1168 - -1238. Solve -2*n - i = -64 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v**2 - 19*v**3 - 7*v**2)*(-4 + 0 + 2)*(-989*v + 1 - 1 - 397*v + 249*v) to a + m*v**4 + j*v + r*v**3 + w*v**2 and give m.\nAnswer: -43206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (3 - -2) - -3 - 27) + -59?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-14) - (-876)\/112. Let j = 137\/20 - w. What is the third smallest value in 0.3, 38, j, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c - 4. Let y(g) = -8*g + 3. Let h = -119 + 116. Let b be 6\/1 + h*1. Determine b*f(p) + 4*y(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 414 - 350 = -2*n, -2*n = -2. Calculate the greatest common factor of 715 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1060080 and 5040.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7548643 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 40924465.2 to the nearest 100000.\nAnswer: 40900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31539 is divided by 4503?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -7)*((-265)\/30 + 9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 988*a + 27304. Calculate d(-27).\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -94061*r - 2 + 94060*r + 2. Let q(c) = -c**2 + 5*c - 2. Determine 5*b(i) + q(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 168*j - 2. Let i(r) = -2*r. Calculate v(i(c)).\nAnswer: 16*c**2 + 336*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 57 = -4*l + 5*l, -s + 19 = -5*l. Suppose -2*c = -3*c - 5, 4*m = -2*c + 1462. Is 2\/(-7) + m\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13458589 and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 1 - 7*t**3 + 6*t**3 + 2*t + 5*t**2 + 0. What is f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4 + 31242*l**3 - 124990*l**2 + 156246*l - 62500 = 0.\nAnswer: -15625, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2812 and -145\/3516.\nAnswer: 2471748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papa. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*z**2 + z - 4*z + 3*z**3 + 0*z**3 + 25*z**2 as u*z**3 + k*z + o*z**2 + y and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5173*q**3*t + 86*q*t + 2*t - 5696467 wrt q.\nAnswer: -15519*q**2*t + 86*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 108. Let w be 48\/r + 4\/18. Suppose 0 = -w*l - 11 + 5. Are -4 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (0 - (-2 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46624 + 82340. Suppose 0 = 3*j - 4*q + c, -6*q + 47608 = -4*j - 4*q. Round j to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 11*z + 969. Determine t(-39).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 5*s - 2. Let r(m) = 5*m**3 + 8*m - 3. Let c be 3\/(-1*(-6)\/16). Let d = -9 + 4. Determine c*y(q) + d*r(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + (3 - (-1)\/(-10)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*x + 636*x = 5*c - 17, -x = 2*c - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201727 - 581627 = -3467*f + 192*f for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, 198, 758, 1518, 2478, 3638, 4998?\nAnswer: 6558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -16. Let u(z) = -z - 3. Let y be u(s). What is the second derivative of 0*l + 3*l + y*l**4 - 3*l - 3*l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 42912*q**2\/7 - 32864454*q - 197407476.\nAnswer: -2*(q - 10731)**2*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -273523744.8?\nAnswer: 273523720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -19. Let m = t - 38. Which is the closest to m? (a) 3 (b) -5 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = -33. Suppose 59*s - 660 = 53*s. Calculate the remainder when s is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3403 = -2*r + 101293. Is r\/20 - (-2)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-16))\/(2\/2 - 2) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 91, 151, -5, -4, -1.\nAnswer: -5, -4, -1, 8, 91, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 - 68*n + 23. Calculate o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.45645232*0.11\nAnswer: 0.0502097552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/(8\/(-48)). Suppose w + 0*w = v. What is the first derivative of -3*q**2 + w - 4*q**2 + 0*q**2 + 5*q**2 wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40183 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 245 + 113)*(0*d + d**2 + 0*d - 3*d) as g*d + h + o*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a5 - -83?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 315\/84*((1 - 3) + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 1\/6 (b) 1 (c) -0.4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3*s**5\/20 - s**4\/3 - 5*s. What is the third derivative of y(x) wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -698895524154 and -0.12.\nAnswer: -698895524154.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 776\/28*((126\/24)\/7)\/(222\/(-1036)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7618 is divided by 3333?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = 3*h - 2, 3*s = -4*h + 11. Let i be (-216)\/(-28) - 8\/(-28). Suppose -s*z = i + 7. Put -25, -4, z in decreasing order.\nAnswer: z, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sur when three letters picked without replacement from {r: 2, s: 1, u: 1, y: 9}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 178 - 171 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409294 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 1, w: 2, s: 2, d: 3, b: 1}. Give prob of picking 1 s, 2 w, and 1 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103045115 + 3?\nAnswer: 103045122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 55820.\nAnswer: 1172220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -65*v**3 - v**2 - 3*v - 2. Let l be b(-1). Suppose l*q = 64*q + 709. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 8 + 3)*(-57*t**4 + 59*t**4 + 4*t**3 - 18*t**3).\nAnswer: -26*t**4 + 182*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2688*y - 190688 - 7088 = 44144 for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/42)\/(2\/(-78)). Suppose 16*m = b*m + 15. Suppose m*a = a + 628. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1533 - 1532. Put 2, f, 0 in descending order.\nAnswer: 2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + k - 33, k = 2*o - 9. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = t + 5*s, -199*t + 22 = -201*t - 4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(3600) + sqrt(3600)*-2 + sqrt(3600) + sqrt(36)) - sqrt(288)\/sqrt(72))\/(-4*((sqrt(1200) + sqrt(1200)*1 - sqrt(1200)) + sqrt(1200))).\nAnswer: sqrt(3)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Let f(m) = 2*m**2 + 2*m - 1. Calculate -f(i) - 3*k(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -2364.85?\nAnswer: 2360.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:10 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18836)\/(-816) + (-3)\/36.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-56 - (-3 + -3))) + (9 - 4) + -4\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbqqqqqqqbq. What is prob of picking 2 q and 2 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 312, 2\/3399, -3, -0.1?\nAnswer: 2\/3399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 a, and 1 c when four letters picked without replacement from paacpnnnapa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m - 3*m)*(-3 + 2 + 2) + 2*m - 4*m + 8*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 4. Let i be d(-4). Suppose i = 2*y + 9 - 33. Suppose 2*x + 2*a + y = 6*x, 3*x - 3 = 3*a. What is the closest to -0.1 in -2\/5, x, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10498533 - 10498851.00098. Let w = n - -318. Round w to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 + -203. What is the nearest to v in -0.01, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 8752598?\nAnswer: -8752579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 2254?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/10 - (29 - (-29682)\/(-1020))\/((-1)\/(-14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0451509 centuries?\nAnswer: 0.451509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7) + (3 - -4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 2 - 2 + 0 + 21*f - 2. Does 25 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-644)\/1035. Put -8, -0.3, h, 253 in descending order.\nAnswer: 253, h, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 20. Let n be u(-14). Calculate the greatest common divisor of 231 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352392154 to the nearest integer?\nAnswer: 18772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5.819, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27708.273ms to minutes.\nAnswer: 0.46180455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 653934988 and 29155.\nAnswer: 5831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let s(j) = -f*j - 2*j - 3*j - 3. Is s(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/21 - 13\/(-6))\/4. Which is the biggest value? (a) 2\/7 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*p = -8, 5*u - 5*p = 9*u + 20. Let i be (-3 + u)*11\/(-3). Solve -i = -6*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4)*2\/(-28). Let w = 0.98 - -0.02. Let v = 7 + -5. Which is the closest to p? (a) -1\/3 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let m(c) be the first derivative of c**3 + 5. Calculate o(m(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**3\/6 + h**2. Let n(q) = -29*q + 21. Let b(p) = 7*p - 5. Let g(f) = 25*b(f) + 6*n(f). What is -g(a) + s(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 22. Let v be 4 - (8\/(-12))\/(2\/228). What is the greatest common factor of f and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 8, m: 3, j: 3, b: 2}. What is prob of picking 2 b and 2 r?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -2*r, -5*r + 29 - 194 = 8*f - 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226699 is divided by 226697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 1\/10*h**2 + 1\/20*h**4 - 5*h - 2\/15*h**3. Let f(j) = 0. Calculate j.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726627197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*g**3 - 2341*g**3 + 97*g**3 + 2 - 935*g**3.\nAnswer: -2854*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22316*d**3*y**2 + d**2*y - 681*d*y - 10*d - 2*y**2 wrt d?\nAnswer: -133896*d*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 = -21*n - 423 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163642 is divided by 54?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000035799 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62207005 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 13 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19*s + 97. Let l be f(5). Is (l*44)\/(19\/(285\/2)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 7*r**3\/3 + 2*r**2 - r - 1. Let p be z(7). Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*((r\/(((r**(3\/13)\/r)\/r)\/r*r))\/r*r*r)\/r)*r)\/r)\/(r**0*r))**(-1\/22)\/(r**(-5\/2)*r**(-6))**(-12) assuming r is positive.\nAnswer: r**(-29123\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 539?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 9740983 + 332017. Round l to the nearest ten thousand.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*z, -39 = 2*i + 5*z - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 9*s - 49. What is h(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3207837 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469144?\nAnswer: 2, 227, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 6 + 9. Let d = 1 - 1. Solve 0 = -d*p - 3*p + a, -2*p + a - u = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*j**2*n**3 + 936*c**2*j**2*n - 2*c**2*j*n**3 - 2908*j*n**3 wrt j.\nAnswer: -2*c**2*n**3 + 1872*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1416 and 1665924?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 + a**2 - 3*a + 1. Let v be i(2). Let m = -48 - v. Suppose 5*c + 4 = c. Are c and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26186 + 28753. Calculate the highest common factor of 204 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 36*u + 34.\nAnswer: 2*(u - 17)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487 + -475. Let l(k) = k**2 + 10*k + 2. Let i be l(-10). Factor 10*z + c*z + 4*z**4 + 16*z**3 - 24*z**i - 38*z + 20.\nAnswer: 4*(z - 1)**2*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436, -439, -440, -439?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 12. Let i be k(7). Suppose 203 = -i*x + 6*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 53. Let p be u(19). Suppose -w + 3*r = -14, 4*r = -w - 10 - p. Solve w*g + 2 = o, -2*o - 4*g + g + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470, -1045, -1756, -2615, -3634, -4825?\nAnswer: -6200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18ea6 (base 15) to base 4\nAnswer: -103300203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**43\/u**3)\/(u**(2\/7)\/u**(-8)))**23 assuming u is positive.\nAnswer: u**(5106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.04 (b) -1 (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4888, 2, 4, 1, -4 in descending order.\nAnswer: 6, 4, 2, 1, -4, -4888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-36))\/((-33)\/12)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 84*r + 168. Let f be x(-2). Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/22 and 79\/272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2611*l + 33815. Determine n(-13).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146248\/(-6969) - 45\/3105?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 23 + 65 = 0. Let z(f) = f - 2. Let v be z(h). What is the second derivative of 25*g**4 - 17*g + 15*g**v - 9*g**4 wrt g?\nAnswer: 372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*c**4*j**3 - 169399*c**2 - 2*c*j**3 - 233113704*j**2 wrt c.\nAnswer: -492*c**2*j**3 - 338798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2742, -2653, -2564, -2475, -2386?\n\"Answer: 89*i - 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525 + 46*l**2 + 1061 - 536 - 34*l**2 + 122*l**2.\nAnswer: 134*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 37325 = 2*h, 48*h - 4*n = 44*h + 74644. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*l = 241*l - 1841184. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (3 - 3). Let x = 6.5 - 6. Which is the nearest to s? (a) 2 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 + 6. Let n be -1 + (-9)\/((-9)\/d). Which is bigger: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*t + 59 + 46, -4*p + 2*t = -90. Let w(h) = -h**2 + 61*h + 251. Let z be w(-4). Let s be -17 + p + (z - 0). Which is smaller: -27\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.102 - 0.07. Let h = -92.168 - -92.1. Let s = y - h. Which is bigger: 19 or s?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p + 6153 = 2534 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397748151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 take away -5532923?\nAnswer: 5533557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 129 (b) -17245 (c) -1 (d) 0.2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213063 is divided by 199?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2141, 4622, 7123, 9644, 12185, 14746?\nAnswer: 17327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4 + 41*a**3 - 222*a**2 - 4896*a + 10368 = 0.\nAnswer: -9, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q - 32*q + 12 = 41*q. Let j(w) be the first derivative of 5\/2*w**4 - 5\/3*w**3 - 20 + 0*w + 0*w**q. Find the third derivative of j(i) wrt i.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167127437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139501 + -94112. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 18*d**2 - 23*d + 22. Let k be r(17). Let x = k + 183. Suppose 2*y - 3*w = 37 + 2, -2*w - x = -5*y. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 12*u + 5. Let t be o(-6). Suppose 115*c**2 - t*c**5 + 75*c**3 + 140*c + 5*c**4 - 72*c - 18*c = 0. What is c?\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 4. Suppose -2*v = 3*w + v, 5*w - 3*v - 40 = 0. Calculate a(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 48.5. Let o = h - 8.5. Which is the nearest to o? (a) -3 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**6 + 16*d**6 + 26*d**6 + 74*d**2 wrt d.\nAnswer: 6120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Suppose 0*t = -z*t - 60. Let v = 3 - t. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 24*w**3 + 21*w**2 - 21*w + 21. Suppose -1995 = -36*g + 55*g. Let v(l) = -l**3 - l**2 + l - 1. Give g*v(f) - 5*k(f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167247091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n + n**3 - 13*n**2 + 25*n**2 + n + 8. Let r be g(-12). Put 1, r, -10 in descending order.\nAnswer: 1, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - (-3 - -3 - (-10 + 6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isiisssiii. Give prob of picking 1 i and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 188\/15, -3\/106?\nAnswer: 188\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 6*g + 20 = 0. Let x(l) = -2*l**2 - 5*l + 2. Let h = -23 + 35. Let o(a) = 4 - 6*a**2 - h*a - 2*a + 2. Determine g*o(i) + 14*x(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*((-7*q + 4*q + 7*q + 4)*(0 + 2 + 0) + (0 + 2 - 5)*(4 - 6*q - 4)) to u*q + t and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.17831 rounded to 1 dp?\nAnswer: 146.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147602?\nAnswer: 2, 7, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 5.39\nAnswer: 2.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(22) + sqrt(22)*-1))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610178033 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: What is the highest common divisor of 1328 and 5300528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1. Let m(p) = -3. Let q(c) = -2*k(c) - m(c). Let z(a) = -a - 4. Determine -4*q(r) - z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1815? (a) 4\/3 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5499 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41416513273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 3 - -1 - (-4333 - -4400)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113440 and 47680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-3)\/(-245377)) - 2\/(-1)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 5 + 20*p**3 + 4 + 3 + 0 - 2*p**2 as n*p + s + z*p**3 + j*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -23. Sort 2, -1, h in increasing order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 5*j - 115, 80*r - 40 = -5*j + 83*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 - 29*n**2 + 54*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 1, c: 1, s: 3, u: 1, n: 2}. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 109 + 14*p - 58.\nAnswer: 14*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.058 + -0.142. Which is the biggest value? (a) x (b) -4 (c) 0.3 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -721\/429 + 2\/143. Let y = -4.5 + -0.5. What is the nearest to 0.1 in f, -2\/15, y?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxzx when four letters picked without replacement from {v: 2, z: 2, w: 3, x: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + (918 - 923) - ((2 - 0) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8623?\nAnswer: 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*r**4\/8 - 41*r**3\/8 - 9*r**2\/2.\nAnswer: r**2*(r - 1)*(77*r + 36)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqimmeiemoeo. Give prob of picking 1 e, 1 m, and 2 q.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 1. Let g(d) = -29*d**3 - 8*d**2 - 6. Give -g(c) - 4*k(c).\nAnswer: 29*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*k - 265*k = 3*z - 1, -4*z - 4*k = 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttpaglllljt. Give prob of sequence ljtl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4 + 5. Let t = -6 + q. Let f = t - -3. Which is bigger: f or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (116\/(-10))\/((-4)\/20). Suppose 5*v - 97 = f. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -930 + 929.8. Put 0.4, o, 7, -5\/2 in ascending order.\nAnswer: -5\/2, o, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 7*l - 12. Let x be y(10). Let b = x - 16. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 71*m + 491. Calculate x(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 0, -3*x - 4*k = -5*x - 8. Suppose -x*s - s = -60. Suppose l - 25 = s. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1797.246*26.\nAnswer: -46728.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*g + 148*g - 310*g + 714 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 495*x - 72350. Determine w(118).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:51 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siiiiwiiweds. What is prob of sequence iide?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/18 - (-187)\/12. Which is bigger: y or 14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3755 - 0.2655. Put -5\/6, -0.5, -2, -1, l in descending order.\nAnswer: l, -0.5, -5\/6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from hdddphdpdh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4 + 3*o + 1 + 4*o. Suppose -5*c + 4*p - 57 = 0, -2*c + 2*p - 34 = -p. Give u(c).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:22 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n. Suppose n = 2*j - 0 - 4. Suppose -6 = g - 4*d, 0*d = g + j*d - 12. What is the smallest common multiple of 9 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -5 (c) -4 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:22 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0593934 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l - 3*p - 18, -11 = 3*l + 4*p. Suppose 689 = l*v - 20296. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 48. Let r(z) = -27*z**2. What is r(u(n))?\nAnswer: -108*n**2 + 5184*n - 62208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-2 - 12)*2. Suppose 2*q + 5*h = -b, 4*q - 3*h = -0*q. Let d(l) = -17*l - 6*l**3 - 3*l**2 + 19*l + 5*l**3. What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/120 + f**5\/15 + 5*f**4\/24 + 2*f**3\/3 - 10*f**2. Let m be t(-2). Solve -m*g - 15 = 3*s, 3*s - 7*s - g - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/209055 and 89\/1314060?\nAnswer: 9198420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -10307, 3 in ascending order.\nAnswer: -10307, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5641370.\nAnswer: -1\/1128274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130 - -2a24?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/36*12\/(-72)*6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113603381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -698*m**2*r**5 - 152*m**2*r**2 + 2*m**2*r + 2*m**2 + 2*r**5 wrt r?\nAnswer: -41880*m**2*r**2 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*n**2 + 38*n - 5164.\nAnswer: -116*n + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(40\/(-35)))\/((-3)\/6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020222 + 101212?\nAnswer: 1122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w**2 - 89533*w + 179068. What is a(2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5948967?\nAnswer: 3, 1982989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -13301132?\nAnswer: 13301142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14303 + 0?\nAnswer: 14303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 527 + -782. Let k = w - -2299\/9. Let b be -1 - 18\/(-5) - 2. Put b, k, -1 in descending order.\nAnswer: b, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 33. Calculate g(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**5 - 11*c**4 + 23*c**3 + 11*c**2. Let g(b) = -b**5 - 2*b**4 + 4*b**3 + 2*b**2. Let x(w) = 34*g(w) - 6*s(w). Factor x(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10995 and 496241.\nAnswer: 7443615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**6\/40 - 3*t**4\/8 - t**3 + 5*t**2\/2 + 2. Let g(j) be the second derivative of u(j). Let g(v) = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 453428226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 53. Let w be k(8). Is 29 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 439325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqjqjqqqqqxjj. Give prob of sequence jxqx.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.3 + 8.4. What is the nearest to a in 0.2, -1\/6, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.6372 + 101.637775. Let p = -18 + f. What is p rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 3, -1, -9, -21, -37?\n\"Answer: -2*r**2 + 6*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/413 - 269\/59. Let k = 21 + -1. What is the common denominator of v and (-11)\/k - (-3)\/12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-27)*(-9)\/30*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 7. Let x(o) = o + 14. Let a be x(-9). Let u(r) = -3 + a - 2 - 1. Calculate -n(g) + 5*u(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 7:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - 13. Let c(b) = -193*b**2 - 3279*b + 6. Let p be c(-17). Let r = z - p. Calculate the lowest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.21 - -8.49. Let h = k + -11.68. Let m = h - 0.24. What is m rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 75*m**2 - 1074*m + 1439. Determine d(17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6655)\/sqrt(11) + sqrt(5) + -2).\nAnswer: -6 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -1 + 2 + (-6*(-1 + sqrt(72)) - sqrt(72)).\nAnswer: -36*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 9957 and 0.\nAnswer: 9957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1. Let p(j) be the first derivative of 4*j**2 + 3*j - 3. Let s(z) = -3*k(z) - p(z). Let y(h) = -2*h. Calculate y(s(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jbjbjzjbbjdbdjjjzbz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Calculate j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((((j\/j**(1\/2))\/j)\/j)\/j*j)*j)*(j**0\/j)\/j)**(-18\/13)*(j**(-1\/9)*j**5*j)\/((j*j**(2\/7)*j)\/j**5) assuming j is positive.\nAnswer: j**(12149\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 4*y - y + (-y + 0*y - y)*(-1 - 1 + 0) + (3*y + 1 - 1)*(-1 - 2 + 4)*(6 - 3 - 2 - 4 + 1 + 4 + (1 + 0 + 1)*(-3 - 3 + 4) + 0 - 4 + 3).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -13\/19, -3, 0.2.\nAnswer: -3, -13\/19, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77334 is divided by 15256?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/13527714 and -125\/96?\nAnswer: 216443424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + q - 4. Let n be m(4). Suppose z = -2*a - a + 4, -z = -a. What is the units digit of ((-40)\/n)\/(z\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21 = 4*n, 13*c - 15*c = -5*n - 5. Solve -2*g + 4*z + c = -11, g - 3*z = 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3946760 rounded to the nearest 1000?\nAnswer: -3947000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259\/4 or 2\/9?\nAnswer: -259\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7295035725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 871 - 868. Let d(k) = 27*k. Determine d(a).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*16\/(-3416)*11\/(-33)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171569133 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34367 - 4.\nAnswer: -4.34367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -359 - 152. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6*s + 9 = 0. Let d be s*(-1 + -4600) + -1. What is d rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*c = -327, z + 4*c = c + 177. Suppose -3*v + z = 4*d, 5*d - 143 = v + 48. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20670.12 millilitres to litres.\nAnswer: 20.67012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202011102 + 11?\nAnswer: 1202011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.76371t?\nAnswer: 65763710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 292 + -271 + 6 + 1 + 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:36 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeveqq. What is prob of picking 1 v and 1 q?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:02 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 + -271 - (25 + (4 + -2 - 3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 766*z - 2316.\nAnswer: 2*(z - 386)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1 - (-3 + (-51256)\/44). Let f = 1171 - o. Factor -8\/11*s**2 - 2\/11*s + 0 - 2\/11*s**5 - f*s**3 - 8\/11*s**4.\nAnswer: -2*s*(s + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -5, -0.1, 1\/5, -1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11600*r + 11611*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*g**3 - 17061*g**2 - 70068*g - 3840.\nAnswer: 3*(g - 320)*(g + 4)*(18*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14732793\/136 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.02064.\nAnswer: -5.02064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, b: 2, e: 4, m: 1, c: 3}. What is prob of sequence vem?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x = 19*x + 18912. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113291736 to the nearest integer?\nAnswer: 10644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*y**5 + 264*y**4 + 376*y**3 + 128*y**2.\nAnswer: -2*y**2*(y - 16)*(3*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -1, -2, -13, -34, -65, -106?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67224 or 67057?\nAnswer: 67057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24759 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 545359166 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 913060, 912896, 912732, 912568?\n\"Answer: -164*p + 913224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174210.\nAnswer: 2, 3, 5, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + g + 2*g + 83, 3*m + 2*g - 41 = 0. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*p**2 + 3*p*s**2 - 156*s**2 + s wrt p.\nAnswer: -34*p + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p + 3*l - 33 = 0, 4*l = 5*p - 140. Let d(o) = 34*o + 1. Let i be d(1). Let y = i - p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 32*f**4 - 12*f**3 + 188*f**2 - 3. Let d(n) = 32*n**4 - 16*n**3 + 189*n**2 - 4. Let q(a) = -3*d(a) + 4*x(a). Find the third derivative of q(j) wrt j.\nAnswer: 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.59128 millilitres in litres?\nAnswer: 0.04059128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = r - 12*r. What is the smallest common multiple of 9 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6.07. Let s = i + 3.07. Sort 2\/9, 0.5, s in decreasing order.\nAnswer: s, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-4)\/(-2)*9. Suppose 4*g + k = -g + 530, -4*g + 445 = 5*k. What is the greatest common factor of g and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17987 - 42713. Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -896*f*p**2 - f*p - 364*p**2 + p with respect to f.\nAnswer: -896*p**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g. Let u be x(-2). Suppose -u*w = k - 3*k - 18, -w = 5*k + 9. Solve a = -a - w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33\/5 - -34\/5. Let k = -5 + 8. Let m = k - 3. Which is the biggest value? (a) w (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/11 - 206*g**3\/11 + 406*g**2\/11 - 202*g\/11 = 0.\nAnswer: 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.249 and -76.\nAnswer: -78.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.008 - 4.408. Let g = -0.6 + q. What is the closest to 0.2 in 2, g, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-31 + 15 + -38)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 28. Let x be s(24). Let r(b) = 14*b**2. Is r(x) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 53136?\nAnswer: 53133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u - 3. Solve -4*o = -2*o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 - 10698962*s**3 - 87*s**2 + 44*s + 12 wrt s?\nAnswer: -24*s - 64193772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 6. Let q(l) = -4*l**2 - 5. Let w(i) = 7*q(i) + 6*r(i). Let u be w(-1). Sort u, 5\/4, -1 in decreasing order.\nAnswer: u, 5\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2768628?\nAnswer: 2, 3, 230719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125\/23 - -2423\/230. Let h = 1688 + -13567\/8. Find the common denominator of f and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1349 by 71.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w + 0*w)*(4 + 1 - 4)*(-4 - 2 + 3).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -1\/704 (c) 50 (d) 0.4 (e) -4\/11 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12468 - -12850. What is the remainder when 3818 is divided by n?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2136 + 2111.08. What is g rounded to 1 decimal place?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 4*k - 3. Determine q(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24165619 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 275, 273, 269, 263?\n\"Answer: -b**2 + b + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((sqrt(30)*2)\/sqrt(3)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*n**6 + 7*n**2 - 5 wrt n.\nAnswer: -15360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14893 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14. Let j = -178 - -234. Let s be (28\/j)\/(-1 - 1). What is the nearest to p in 2, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -694 in 1, -5, -0.3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14557*1\nAnswer: -14557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*u**3*w**2 - 22*u**3*w - u*w + 2*w**4 wrt w.\nAnswer: -116*u**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w - 3*w - 5*w - 73*w**2 + 74*w**2. Let i(b) = -73*b**2 + 2*b. Determine n(i(a)).\nAnswer: 5329*a**4 - 292*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*-6*(-12)\/9. Do 0.1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 24*o**2 - 20*o.\nAnswer: -4*o*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -210*t + 14. Let r be f(-7). Let k = 2519 - r. List the prime factors of k.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/4 - 593*t\/2 - 3594 = 0.\nAnswer: -12, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.76 - -6. Let f = m + 2.76. What is the third biggest value in 4, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4333393\/14 or -309528?\nAnswer: -309528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0503+3521112\nAnswer: 3521112.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-27) + 173\/(-18). Which is the second smallest value? (a) 1\/8 (b) z (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -36, -1, 63, -2, -5 in descending order.\nAnswer: 110, 63, -1, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(1 + 1\/3). Let s(v) = -60*v**3 - v**2 + 2*v - 1. Let o be s(1). Let i = o + 124. What is the highest common divisor of i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9\/2, -4\/9, -6\/11 in descending order.\nAnswer: 8, -4\/9, -6\/11, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 0*d - 6*d**2 - 12*d**2 + 2*d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1160, 2299, 3438?\nAnswer: 4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*o + 19, q + 2*o + 12 = -o. Suppose -5*f = -0*m - 3*m - 2639975, -f - 2640005 = q*m. What is m rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let g(c) = c**3 - 6*c**2 + 3*c - 5. Let p(k) = g(k) + 2*q(k). What is the remainder when p(7) is divided by 2\/2*(-136)\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 4*r - 2*r)*(-8 - 12 - 9) + 0*r - 3*r + 6*r + (-r + 3*r + 0*r)*(-2 + 1 - 1) + (3*r - 4*r + 0*r)*(1 + 0 - 3) to the form c*r + n and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.63 + 0.43. Which is bigger: 15 or s?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 3.1 (c) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/120 + z**5\/6 + 5*z**4\/8 + 11*z**3\/6 - 64*z**2. Let d be x(11). Solve -56*h + 2 = -d*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507 - 4*g**2 - 4*g + 5*g**2 - 14*g + 507.\nAnswer: g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let m(l) be the third derivative of l**5\/120 - l**3\/6 - 3*l**2. Let f(t) be the first derivative of m(t). Give f(r(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 9. Suppose 5*l - 5*t - 30 = 0, 2*t + 8 = h*l - 7. Suppose l*r = -55 + 148. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14130, 56619, 127426, 226545, 353970, 509695?\nAnswer: 693714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -889.9 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8 + 16. Let p(i) = 8*i**2 + 6. Let f(t) = 9*t**2 - t + 6. Let h(j) = -6*f(j) + 7*p(j). What is h(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13816, 27676, 41536, 55396, 69256, 83116?\nAnswer: 96976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**3 + 5*r + 17*r**3 - 7*r**3)*(-r + r - 2*r).\nAnswer: -2*r**4 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Solve c = -5*u - 3 - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 2. What is n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*d**5 + 776 - 1549 - 118*d + 772 + (4*d + 2*d**4 - 4*d)*(d - d - 2*d) - 3*d**5 - 2*d**5 + 3*d**5.\nAnswer: -47*d**5 - 118*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Suppose -v + 3*z + 3 = r, -2*z + 4*z = -3*v - 2. Suppose 5*h + 0*b = 3*b + 20, 3*h = 2*b + 13. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 21*t - 150. Suppose z - 5*o - 4 = 6, -5*z + t = -5*o. Let g = 0.34 - 0.04. Which is the biggest value? (a) z (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 - -2.4117\nAnswer: 70.4117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13993065817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:50 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-67)\/55 - 16\/88 and 52\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - k = 3, 4*p - k + 9 = -0*k. What is the nearest to p in -0.5, 2, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3298 (b) 0.058 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(2\/5)*k)\/k)*k)**16\/(k**(-2\/11)*k**(5\/3)) assuming k is positive.\nAnswer: k**(3979\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5877)\/36)\/((-2)\/40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289116 smaller than 289127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3650 + 3652. Put x, -35, 2\/23 in descending order.\nAnswer: x, 2\/23, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:32 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 2*o = -1022. Let t = o + 75. Put 0, t, 4, 1 in decreasing order.\nAnswer: 4, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433 - -565. What is the greatest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:42 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 1. Let a(p) = p**2 - 5*p + 3. Let x be a(4). Let u be l(x). Let y(s) = -3*s + 3. Determine y(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*q**2 - 33*q**2 + 5*q**2 + (35*q - 35*q - 29*q**2)*(-1 + 0 + 0).\nAnswer: 73*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*w**6*w)*w*w*w**(-29))\/(w\/(w\/w**(-3\/2)*w)*w)**(1\/5))**(-42) assuming w is positive.\nAnswer: w**(7077\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 13*k - 7. Suppose 8*c - 4*c = 40. Is 16 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 58 - (-3 + -43 + 14).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896) - sqrt(56))*-3)\/(sqrt(80)\/(sqrt(20)\/sqrt(2))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 21 = 3. Solve -l = 8*x - v*x - 2, 3*l + 5*x = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3385980 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 178013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85033488?\nAnswer: 2, 3, 1771531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 2*x**2 - 12*x - 1. Let j be w(3). Suppose -4 - j = -2*g. What is the least common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -11\/9, 2\/3 in descending order.\nAnswer: 2\/3, 2\/27, -11\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x + 1. Suppose -3*m = -6*m + 9. Suppose -5*p + 29 = -3*q, -m*q + 2*q - 2*p + 5 = 0. Let z be -3 + q*4\/6. What is f(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, t: 2}. Give prob of sequence tk.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 10*x**2 + x + 10. Give v(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q - 2*q + (-2 + 0 + 4)*(2*q - 5*q + 2*q) - 3*q - 3*q + 2*q - 2*q + 5 - 5)*(1 + 0 - 3) in the form b + h*q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = 4*g + 132, -2*q + g = 69. Is (-16036)\/(-28) + q\/(-119) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1182359 or -1?\nAnswer: -2\/1182359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 6*l + 11. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365917?\nAnswer: 277, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -1134, -3850, -9140, -17862, -30874, -49034?\nAnswer: -73200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**3 + 3*d**2 - 22*d + 3. Let r(x) = 16*x**3 + 2*x**2 - 20*x + 2. Calculate 3*r(f) - 2*t(f).\nAnswer: 18*f**3 - 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f**(1\/9))*f)\/(f\/(f**4\/f)*f))**(16\/3))**(2\/75) assuming f is positive.\nAnswer: f**(256\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*q + 9. Suppose 4*h = 4*u + 8, -2*h - 3*u = -h - q. Suppose h*c + 0*c = 452. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(192))*2.\nAnswer: -4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 48933 - 2*c + 5*c**4 - 4*c**4 - 3*c**4 - 48915 - c**2 to the form m + s*c**3 + b*c**4 + l*c + q*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -250*y**3 - y**2 - 27. Let c(h) = 750*h**3 + 2*h**2 + 81. Let l(w) = -4*c(w) - 11*f(w). Find the third derivative of l(q) wrt q.\nAnswer: -1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.007 and 1?\nAnswer: 13.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (5 - (-11 - -12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*g - 2590 - 25024 = -4214 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g + 0*g)*(640*g - 452*g**2 - 640*g) + 3*g**4 + 10*g**4 + 5*g**4.\nAnswer: -886*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(1\/3). Let m(d) = -d. Let x be m(1). Let r = z + x. Put 4, -4, r in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from gqgqgggqqg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230*u*v**4 - 3*u*v**3 - 9*u*v**2 + 3*u*v - v**4 + 2*v**2 wrt v?\nAnswer: -5520*u*v - 18*u - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10089841?\nAnswer: 73, 89, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107926 - -3a?\nAnswer: 107964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(84\/35))\/(10\/216). What is the nearest to 0 in 0.02, -5, g?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 3*u + 5. Let w be t(-4). Suppose -4*x - w = -33. Let h(l) = -3*l**2 + 2*l - l**3 + 4 - 1 + 1 - x. What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h. Let d(n) = 15*n. Let x(u) = 7*d(u) + 6*p(u). Let q(c) = -c. Calculate x(q(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 142 + 7*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 l when three letters picked without replacement from kikkkiihkvlviiiii?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) 0.2 (c) -2\/3 (d) 117 (e) -5 (f) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 2 - (3 - (24 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/195 - (0 + (-1)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let n(u) be the third derivative of -u**5\/20 + u**2. Give k(n(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/89615 and 51\/35.\nAnswer: 627305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/11 (b) 2\/827 (c) -33\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111101001111 - 1110000010?\nAnswer: 1010101111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2469, -9847, -22149, -39381, -61549, -88659, -120717?\n\"Answer: -o**3 - 2456*o**2 - 3*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 196, 294, 394, 496, 600?\n\"Answer: l**2 + 93*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/66)\/(3\/4). Let k = -29 + -31. Let g = k - -59.8. Which is the closest to 0.1? (a) s (b) 1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g + 22*g + (-g + g + g)*(0 + 2 - 1) - 3 + 3 - 2*g - g + 0*g - 3*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(14)\/(sqrt(98)*-2) - ((sqrt(7) - 1*sqrt(567)) + -4)))**2.\nAnswer: 444*sqrt(7)\/7 + 12769\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.6 + 7.3. Let v = 0.12 + -1.42. Let c = m - v. What is the third biggest value in c, -1\/2, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129161, -258323, -387485?\n\"Answer: -129162*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.75 + 8.71. What is the nearest to 3 in d, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904492 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 788854*p - 1 + 3.\nAnswer: -788854*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7605 and 80649335?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1681*m**3 + 10081*m**2 + 15099*m - 45 = 0. What is m?\nAnswer: -3, 5\/1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1972849*b + 16*b**2 - 1972849*b.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 36648.\nAnswer: -3664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*z = 114*z + 98 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 259 + -238. Suppose -v*i = -24*i + 6. Solve -7 = -i*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 169*x**2 + 21*x + 419. Give g(34).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 6 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(1089) + sqrt(1089)*2) - -5*(sqrt(17) + 1)*-5.\nAnswer: -824*sqrt(17)\/33 - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let y(v) = 4*v**2 - 647*v + 2. What is t(y(j))?\nAnswer: 4*j**2 - 647*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 24. Is a(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13817*x - 89 + 38389*x - 24574*x + 89.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/20 + p**4\/12 + p**3\/6 + 78*p**2 - 3*p + 20. Let r be a(0). Calculate the highest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462256 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1235 and -0.08?\nAnswer: 1234.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587706426 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 876.3185mm?\nAnswer: 876318500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51573932 - -0.03.\nAnswer: -51573931.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 1 - 1 + (6 + 0 - 4)*(-3 - 3*o + 3) - 3*o + o + 3*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 4247*k + 4247*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*n + 827209 = -11226*n for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 12. Let i = 6 + 5. Calculate the remainder when 17 - 6*v\/(-6) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12017748*-0.02.\nAnswer: 240354.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.91 + -0.21. Let t = a - 8. Sort 5, t, 0.\nAnswer: t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 14. Let n be q(5). Let m be (-9)\/(-3) - (n + -8). Determine r so that 3*r**3 - 17*r**2 + r**3 + 21*r**m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2188 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2430\/72)\/9)\/((-4)\/(-16)*-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.4 + 18. Let o = -22.25 + 22.95. Let i = o - m. What is i rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + 1813\/133) - (1*8)\/(-1)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 88. Calculate the smallest common multiple of 4 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017106311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1263 divided by -719\nAnswer: -1263\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3670839 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5531*z**6 + 4872*z**2.\nAnswer: 663720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53332 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11866 is divided by 1067?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8*q**2 + 8*q - 3. Let l be a(7). Suppose -2*s - l*h + 149612 = 0, 2*s + 2*h - 151591 + 1985 = 0. What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + sqrt(112) + 3*sqrt(112)*1 - (-2 + sqrt(112)*2 + 5 + sqrt(112)))**2 + -5).\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3086 and 3\/100.\nAnswer: 154300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-612)\/6 + 2)*1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**24*x)**(-5\/9) assuming x is positive.\nAnswer: x**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/176 + (-9920)\/(-880)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.083 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 625*l - 92954. Give x(-244).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 + 4*t + 5. Let q be n(5). Let h be -7 + ((-478)\/(-72) - 7\/(-63)). What is the second biggest value in q, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240523 (base 11) in base 15?\nAnswer: 77e9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1194 + 1193. Which is the nearest to 2? (a) f (b) -3 (c) -2\/257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -22. Suppose g - 46 = -o + 3*o, 0 = f*g - 5*o - 93. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.1, 130\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/123 (c) 8\/21 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19078560.\nAnswer: 2, 3, 5, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 77. Give g(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19610 divided by 6.\nAnswer: 9805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1019*h - 79. Calculate k(2).\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42276 and 798637.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 32 = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47277271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {s: 1, u: 1, c: 1, a: 2, h: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000010001110100 (base 2) to base 3.\nAnswer: -210200220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -155, -138, -117, -92?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 3. Suppose 7 = -2*q + 9. Let l(n) = -2. Let f(k) = q*o(k) + 2*l(k). Let g(r) = -2*r. What is g(f(u))?\nAnswer: 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -639*l*z**5 + 5*l + 2*z**2 + 5*z wrt z.\nAnswer: -38340*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 193508302 to the nearest one million.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 91*f - 562. Let x be k(6). Let o = 33 + x. Suppose -l = 2, 0 = 4*i + l - 92 + 26. Calculate the greatest common factor of o and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/(i\/(i\/i**2)))\/i*i))**(3\/8)*i**(-7)*i*i*i**(3\/2)\/i assuming i is positive.\nAnswer: i**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(448) + (sqrt(448) - -5*2*sqrt(448)) - sqrt(448) - (sqrt(448) + sqrt(448)*1 + 4))*5)**2)*-5 + 2.\nAnswer: -4538008 + 72000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - 2*q - 105. Let y(z) = z**2 - z - 1. What is -g(c) + 2*y(c)?\nAnswer: -3*c**2 + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 10*i - 71. Does i = -2\/431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Suppose 0 = 2*r + 3*r - 25. Let x = -2 + r. Let t(j) = 3 + j**2 - x. What is t(c(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*p**2 + 0*p**2 + 0*p**2)*(-3 + 5 - 4 + (1 - 4 + 2)*(2 - 3 + 0)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -30024214233?\nAnswer: 30024214240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2979*v + 70931 - 177223 = 230335 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 79*k**2 + 9*k + 1. What is s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 10\/7*b + 2\/7*b**3 - 8\/7*b**2 - 4\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + p**2 - p**2)*(-68 + 68 - 27*p**2) + (2 - 2*p**4 - 2)*(0 + p + 0) + (0*p + 0*p + 2*p**4)*(0*p - 2*p + 0*p).\nAnswer: -60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 33*r - 12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:02 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5075 + -4445. Calculate the greatest common factor of x and 2450.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 12978 + 12986 = 0, 38 = 2*g - 4*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 159*w\/4 - 495\/2.\nAnswer: (w - 6)*(w + 165)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 3*t**2 - 13*t + 7. What is the remainder when n(2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*l = 275*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25426?\nAnswer: 2, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1107\/110 - -17\/165. Let n = 72\/7 - c. Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7065*z - 4330813. What is l(-613)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 + 382 = 12*y. What is the remainder when y is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/30 and 14\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*b**4 + b**2 - 12*b**4 - 13*b**4 + 2)*(4 - 5 + 2).\nAnswer: -3*b**4 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15607*a**2*u**2 - 4*a**2*u - 469*a**2 - u**2 wrt u.\nAnswer: -31214*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97870.01 millennia?\nAnswer: 1174440120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) 45 (d) 3 (e) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {i: 2, o: 4, b: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*b + 3 - 2 = 0, -2*j - 3*b + 4 = 0. Let a be (-2 - (-2 + 2))\/j. What is the tens digit of a*-1 + -6 + 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 116. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and 43612.\nAnswer: 43612.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-27) + (-58)\/(-18). Suppose 7 = h*c + 4. Let i(g) = -g**2 + 4*g + 4. Let l be i(4). What is the highest common divisor of c and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 802*p - 113752. What is m(123)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -7*w**6\/39 + 276*w**5\/65 - 499*w**4\/26 - 1120*w**3\/13 - 1276*w**2\/13 - 480*w\/13 + 8352. Solve j(n) = 0 for n.\nAnswer: -1, -2\/7, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.5479925 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let y = 290.1 + -291. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 48 = 5*w. What is the common denominator of -61\/12 and ((-3)\/w)\/(3\/234)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 - 9 = 4*c, 0 = 3*f - 9. Let a be 2\/c + (-100)\/(-15). Suppose -a*m + 268 = -596. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {i: 6, r: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 125*t - 60. Suppose -369 + 561 = 6*o. What is the remainder when 177 is divided by h(o)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2170 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)\/d*d**(-3))\/(d**(2\/19)*d*d*d**5*d*d) assuming d is positive.\nAnswer: d**(-439\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 14*c**2 + 32*c + 89. What is h(10)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s - 3 + 3)*(-2 - 4 + 5) - 2*s - 5*s - 4*s)*(-5 + 4 + 4)*(-4 + 5 + 4)*(2 + 3 + 8) to j + o*s and give o.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 7*c + 55. Let z = 0.0321 + -1.0321. What is the fourth smallest value in 2\/11, -5, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*a - 74, -69*a + 5*v = -70*a + 24. Solve -a*k + 6*k = 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose 0 = 2*k + k - b*f - 4545, 3*k - 2*f = 4546. Suppose 2*p - j = -6*j + 1532, -2*p + k = -3*j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23233 - 19137. Calculate the remainder when d is divided by 71.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65818503221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-2)*11264\/6336. Let x(v) = -v - 1. Let t(b) = -b**2 + 7*b - 10. Let k(h) = t(h) - x(h). What is k(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2764450 and -55\/2626.\nAnswer: 279209450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 692572 + -692661.11504. Let m = g + 33.11531. Let d = -56 - m. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + 2) - sqrt(68))**2*-3 - (1 + (sqrt(102) - -2*((-2*sqrt(102) - sqrt(102)) + sqrt(102) + sqrt(102) - sqrt(102)))\/sqrt(6)).\nAnswer: -829 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 430542 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/(7\/(-105)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0395 + -0.6295. Round m to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**(-10\/11)\/(k**3\/((k**6*k)\/k)) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 428 (base 10) to base 8\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let f(j) = -80 + 80 - 4*j + 6*j. What is h(f(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(60) + sqrt(6000)*-1 - sqrt(60))\/((sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4))*4))**2.\nAnswer: 3125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 182\/13 - (-3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 = -6*q + 7044. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -51680.\nAnswer: -3\/51680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 47, 4 in decreasing order.\nAnswer: 47, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 8*n**2 - 10*n + 4.\nAnswer: -2*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004726086476 rounded to four dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 844\/10 + 10\/(-25). Let v = k + -59. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/12))*c*c**4)**38 assuming c is positive.\nAnswer: c**(1121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 34.455. Round q to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 29*x + x + 15*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.9 + -45. Let d = -3.97 + -0.03. Let h = -4.3 - d. Which is the biggest value? (a) h (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/14)\/(1\/3). Let o = 22.8 + -23. What is the smallest value in v, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/(7\/(-1)). Let a = 2 - 3. What is the nearest to a in 4, b, 3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5755 and 1252155635?\nAnswer: 5755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + g + 4. Suppose 0 = 17*c - 2*c + 3540. Let i = c + 241. Let v(l) = l**2 + l + 2. Give i*v(x) - 3*m(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1688 = 3*n, -3*n + 10*o + 1720 = 6*o. Is 71 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -97*h**6\/6 + h**4\/4 - 134*h**2 + 2*h - 128. What is the second derivative of t(k) wrt k?\nAnswer: -1940*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + b = -12, 3*b = -2*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3876*j + 2049169 - 2049169 in the form c*j + z and give c.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*d*l**3 - 4*d*l**2 + 9*d - 123101*l**3 + 2*l + 38519 wrt l.\nAnswer: -792*d - 738606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17689a8 - 4?\nAnswer: -1768a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10485*d**6 + 3090*d**2 - 20872*d**6 + 10456*d**6 + 2 - 2 + 8*d**3 wrt d?\nAnswer: 8280*d**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/2)\/s)\/(s**1\/s)*s**(2\/15)\/(s\/(s**(-26)*s*s)) assuming s is positive.\nAnswer: s**(-911\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2042598*a**2*r**2 - 9*a*r**2 - a*r - 7*a + 2040*r**2 wrt a.\nAnswer: -4085196*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094662319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 3432a5?\nAnswer: 343297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 544 divided by -96\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10084\/5941 + -846\/457. Let h be (0 - 1)\/((-14)\/(-6)). Which is the closest to -1? (a) -3 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/137, -730, -2\/11?\nAnswer: -9\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 301 + 2?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 - (2 - (-1)\/(-1)). Let x be (-18)\/14 + 6\/k. Is -1\/9 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030913485 rounded to seven decimal places?\nAnswer: -0.0003091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 186*q. Let d(c) be the second derivative of -c**3\/3 + c + 57. Determine j(d(i)).\nAnswer: -372*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2*u**3*w - 3*c**2*u**3 + 2290*c**2*u**2 + 11522*w wrt w.\nAnswer: 3*c**2*u**3 + 11522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-50))\/((-1)\/5). Suppose -6*k + r*k = -88. Let j = -20 + k. Solve 0*v - v = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.9 - 6. Let o = a - -0.1. What is the second biggest value in -1\/7, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*p + 147*p = -770 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*x - 4 - 1, 0 = -4*y - 5*x - 7. Suppose 5*t + 8 = -7, -y*r + 4*t = -424. List the prime factors of r.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*j\/(j\/j**(5\/6)))**(2\/41) assuming j is positive.\nAnswer: j**(13\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8944 is divided by 383.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(25\/4)*(l\/(l*l*l*l**7))\/l**(-1\/2))\/((l**(-2))**(-19))**(-39) assuming l is positive.\nAnswer: l**(23551\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502837 + 502837 + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -18, -35, -48, -51, -38, -3?\n\"Answer: a**3 - 7*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 203 - 280. Let b be ((-30)\/25)\/(i\/(-15) - -1). Solve 0 = 2*y - 3*y - 4*g + b, 0 = -y + g + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2241?\nAnswer: 1\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4 - 78*j**3 - 246*j**2 - 250*j - 84 = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 7*o + 2*l, l - 22 = -4*o. Calculate the lowest common multiple of o and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**2 + j - 1. Suppose -3*y - 15 = -8*y. Let i be (-6)\/(-4)*4\/y. Calculate the remainder when d(i) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 17*q + 3*v, -2*q + 141 = v + 129 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3*n**5\/5 - 4*n**4 + 10*n**3\/3 + 7*n**2\/2 - 21. Find the third derivative of q(k) wrt k.\nAnswer: 72*k - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10026)\/(-8) + 140\/(-112)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1484?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -832 - 1883. What are the prime factors of n?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000701012419 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 397 or 395?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838413 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 7*p**5\/20 + 3*p**4\/4 + 10*p - 4. Let w(u) be the first derivative of l(u). Find the third derivative of w(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0446 + 3.5.\nAnswer: 3.5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vihhj. Give prob of picking 1 v and 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 240218 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 66.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 51, 34, 2, 3 in decreasing order.\nAnswer: 51, 34, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 - 7*z + 7. Let u be (-2)\/14 - (-5 - 2070\/(-63)). Let d(y) = -y**2 + y - 1. What is u*d(v) - 4*m(v)?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:33 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 10) to base 9.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-220 + 111 - 46)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 9*l - 11. Let j be x(-4). Suppose -12*b + j*b = p - 13, -3*b + p = -23. Calculate the smallest common multiple of 45 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21734291353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1637, 11, 1, -4 in increasing order.\nAnswer: -1637, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3 - 0. Suppose -3*o + 85 = 4*y, -3*o - y = -0*y - 100. Solve 5*b + o = -l*x, -4*b - 3*x - 26 = -x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 294513 or 294514?\nAnswer: 294514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 217b8?\nAnswer: 217b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngdg when four letters picked without replacement from dncnggdc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1194, 1195, 1196, 1197, 1198, 1199?\n\"Answer: a + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2120591553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 4*l**2 - 3*l - 2. Let n be t(-2). Suppose 0 = 3*d - 3*z - 42, 0 = d + n*z - z + 6. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5725 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -0.531?\nAnswer: 3.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*i - 984 - 373 = -87 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = s - 4, 7 = 4*h + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 6 = 0. Suppose u*h = 9, -n - 3*h + 4 = -18. Suppose 0 = -3*d + 2*c + n, -4*d + 4*c + 8 = -12. Solve -b = -8 + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 29. Let f be 1*12 - (0 + -1). Let x be z(f). Let b be (3\/9 - 1)*3. Put b, 4, x in decreasing order.\nAnswer: 4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -5\/212102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(1698*v - 1730*v - 1 - 21).\nAnswer: 128*v + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 320310?\nAnswer: -320210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3\/44 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 5. Let i(l) = 1. Let d(f) = -f + 8. Let q(y) = -d(y) + 4*i(y). Let r = -118 + 114. Determine r*k(w) + 5*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63641 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.69 - 0.6. Let g = -21.02 - -18.02. Let l = 0.44 + -0.04. Which is the third biggest value? (a) l (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -11899.\nAnswer: -15\/11899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*y = 10, 35*p + 7 = 36*p - 4*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 4. Let b be j(-6). Let o be (-279)\/(-81)*9\/(-6) - -5. What is the nearest to 2\/7 in o, b, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 25. Let r(z) = 4*z**3 + z**2. Let i(f) = -11*f**3 - 3*f**2. Give c*r(j) - 6*i(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/19 - 10*h**4\/19 + 16*h**3\/19 - 8*h**2\/19 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8172 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: Find q, given that 1266*q**2 + 51902*q - 164 = 0.\nAnswer: -41, 2\/633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430784268?\nAnswer: 2, 3, 35898689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -1\/13, -1\/3, -2\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*9*18\/4617.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/7 - -15\/7. Let f be 480\/500*-15 - (-1 - 13). Which is the closest to f? (a) -0.2 (b) 0.7 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) 3 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -169013.\nAnswer: -169012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.43132, -2, -0.4, -4, 50 in increasing order.\nAnswer: -4, -2, -0.4, 1.43132, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*g + 18, 3*x - 6 = -2*g + 7*x. Let k be 16842\/210 - (112\/35 + (-3)\/1). What is the tens digit of k - (g\/(-3) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.95 + 6729\nAnswer: 6727.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 - -10 - -2*3. Suppose -t*v - d + 778 = 3*d, 4*d = 4*v - 1616. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 78 - 3. Suppose -g = 4*s - r, 0 - 4 = -4*g. Suppose 3*c - c - s = 0. Solve -4*a = 8, 0 = c*u - a - a - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3815 and 5707785.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*o + 6*o = 482, 3*b - 711 = -2*o. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 452612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958430.6 millimeters to nanometers.\nAnswer: 958430600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1219 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 5\/(-2). Suppose -13 = -j*n + 15. What is the least common multiple of n and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -5\/2 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/15)*a)\/a**14)**(-4\/33)\/((a**(-7)\/((a*a*(((a\/a**(-4\/5))\/a)\/a)\/a*a*a)\/a))\/((a**(-3)\/a)\/((a\/a**(-7\/3))\/a))) assuming a is positive.\nAnswer: a**(2017\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 16. Suppose -4*z - d = -2*o, 4*z = 2*z - 4. Solve -x + 0 = -o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 441.28 - 437. Round x to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -59)*(-1)\/((-20)\/(-8)). Suppose -k - x = -4*k. Let u(n) = -n**2 + 8*n - 3. Give u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56903 - -2?\nAnswer: -56901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 289362 divided by -1\nAnswer: -289362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392\/15 - 79\/3. Let z be -2 + (-2 - (-27)\/7). Which is the second biggest value? (a) 2\/3 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333b (base 12) to base 16\nAnswer: 161f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5536*z + 11 - 5541*z - 9*z**2 - 16 to b*z**2 + y*z + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -4. Suppose 0 = 2883*s - 2873*s - 110. What is the smallest common multiple of p and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 3, n: 1, y: 3, s: 3}. What is prob of picking 1 n and 1 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let a be (348\/(-16))\/(2\/(-8)). Let g be a\/(-84) - (-2)\/7. Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 30*u - 14. Let r(o) = 4*o + 7. Let v(c) = -c - 1. Let s(f) = -5*r(f) - 30*v(f). Determine -6*p(i) + 17*s(i).\nAnswer: -10*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1791 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-17\/3)*(d\/((d*d**(-6\/5)*d*d)\/d))\/d assuming d is positive.\nAnswer: d**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = w - 5*y, 5*w + y + 0*y - 144 = 0. Suppose -5*n + 36 + w = 0. Suppose -8*m + 10*m - 3150 = -33*m. What is the remainder when m is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50763664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9934917 or 9934939?\nAnswer: 9934917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1166777 - 0.01.\nAnswer: 0.1066777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799, -1599, -2399, -3199?\nAnswer: -3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56.16272 and -748758.\nAnswer: -748814.16272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*l - 5*l + 14, -2*l + o + 6 = 0. Let r be (-5)\/(-4) - (-18 - 1272\/(-96)). What is the greatest common divisor of r and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 624 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3060 - 3057. Let o(h) be the first derivative of 2*h**2 + 1\/3*h**x - 6 + 4*h. Solve o(c) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + (-25)\/(-24))*22 and (-226)\/(-12)*(-15)\/70.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-20) + 1463\/28. Differentiate 27*z + 64 - 13*z + d + 52*z wrt z.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/12)\/(-5)*-4. Let j(g) = -2*g + 6. Let d be j(4). Which is the nearest to 2\/5? (a) t (b) -3\/14 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 + w**2\/2 - w. Let f(j) = -j + 5. Let a be f(0). Let x(o) = -o + a + 6*o + 0*o + 2*o. What is -5*i(h) + x(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111001220110 (base 3) to base 7.\nAnswer: 26153421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501 by 136.\nAnswer: -501\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 22. Sort 0.4, -2\/19, q.\nAnswer: q, -2\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 5*y + 14 - 48.\nAnswer: 5*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.7 - 103. Which is the second biggest value? (a) k (b) -1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3967255 by -8.\nAnswer: -3967255\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27003 is divided by 6597.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + (-1 + -2 - (-29 + 57 + -45))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 277*d - 24157. Calculate i(87).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -55891?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -224 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -2\/3 (c) -0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 38 = -m. Is 15 a factor of 135*2*(-1 + m\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g - 699. What are the prime factors of d(-51)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 17.426247?\nAnswer: 6.9704988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s\/(s**(-1\/2)\/s*s)))*s*s)\/s)\/(s*s*s**(-1))*s*s*s**4*s*s*s**2*s*s*s*s assuming s is positive.\nAnswer: s**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 3\/8*u**4 + 0 + 1\/6*u**3 - 2*u + 1\/60*u**5 + 16*u**2. What is k(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114528 and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258693 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 8*g - 8. Let p be a(6). Suppose -15 = -3*i + 4*r + p, 5*i = 2*r + 27. Suppose -l - 170 - 93 = -i*k, 2*l - 216 = -4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*y - 24 = 0, -2*y - 57 = -3*x + 43. Suppose -z + x = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56206\/1325 - 221444199\/60950. Let u = -3675 - h. What is the common denominator of u and -77\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 1 - 39\/(-1). Let z = 39 - x. Suppose 2*t - 42 = -z*d, 5*d + 5*t = -25 + 90. Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262803997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -90911 (base 16) to base 5\nAnswer: -122422040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 471389001 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 34 = p, p + 10 = -3*q - 4. Solve 3*v - 7*c - 15 = -6*c, -p*v + 31 = -5*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 - 32*q**2 - 23*q**2 - 188 - 183.\nAnswer: -55*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:09 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 5*c**2 + 0*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -108. Suppose -n*m + 4*r - 11 = 0, 2*r = 5*m + 1 + 2. Put m, 15, -4 in descending order.\nAnswer: 15, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 + -92?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 8. Let d be t(6). Suppose -d*n = -c - 2*c + 34, 4*c + 4*n = 52. What is the remainder when 19 is divided by (c\/(-15))\/((-4)\/50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1379 - 1372 + 2751 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 624920\/549 - 10232\/9. Let j = u - 4\/61. Let x(d) = d - 5. Let k be x(0). Which is the third biggest value? (a) k (b) 6\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-2\/11)*t)\/t*t)**(-19)*t*t\/(t**(2\/79)\/t)*t**(-4) assuming t is positive.\nAnswer: t**(-30911\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78901 and 2.5.\nAnswer: 197252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 + g**2. Let v(a) = 0 + 0 + 1 - 7*a. Give v(j) - 5*x(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 4505*f**3 - 2 - 2*f**2 + 0*f**2 - 497*f**3. Let t be m(2). Let g = t - -155022. Round g to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -151. Let g(w) be the third derivative of -1\/60*w**6 - 2*w**2 + 0*w**r + 0*w + 0 + 0*w**3 - 1\/10*w**5. Find the third derivative of g(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15359 - -15512. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 - 54*y**3 - 65*y**3 + 122*y**3.\nAnswer: 3*y**3 + 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -6*y + 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3774355 + 35?\nAnswer: 3774401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 15972*y + 63776196 = 0.\nAnswer: -7986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-83 - 32100\/(-400)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26562810 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g - 66. Suppose -49 = -30*r - 160 - 99. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204260 (base 9) to base 13\nAnswer: -19b0c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300712 divided by -4\nAnswer: -75178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -8a2?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 - 4*q**4\/3 - q**3\/3 + 4*q**2\/3 = 0. Calculate q.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 84. Suppose 3*g - a = 17, -z*a - 15 = -3*g + 22. Solve 0 = -o - g*m + 6, o = -3*m + m + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3\/(6\/(-2)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 538120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298655870?\nAnswer: 2, 5, 19, 1571873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66810 - 34687. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -3. Let v be (-8)\/((-16)\/(-5))*56\/70. Which is the closest to 0? (a) v (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:27 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 401794 greater than or equal to 401788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-54)*-3)\/((-2)\/(-9)). Let v(y) = -4*y**2 + 3*y - 3. Let b(g) = -21*g**2 + 14*g - 14. What is r*b(f) + 14*v(f)?\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 43042 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -459 + 458. Let f be (-18)\/12 + (-9)\/(-2) + z. Solve -3*n = f*o + 4, -4*o + 0*n + n + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 145. Let n = f - 54. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 20, -2\/5, 4\/573, 0?\nAnswer: 4\/573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2865*h - 50 = -5*z + 2860*h, 2*h - 26 = -3*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*a + 1 - a)*(-a**3 + 2*a**3 - 4*a**3).\nAnswer: 3*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 - -0.1. Let j = n + 4.1. Which is the nearest to 0? (a) 0 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -721 + 1987. Calculate the highest common divisor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17041469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60343678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -77*m + 155. Let d be q(2). Which is the closest to d? (a) 0.1 (b) 0.05 (c) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7*k + 3*k + 941, 2855 = 3*h + 4*k. Calculate the remainder when h is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07985368 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16545, 16525, 16491, 16437, 16357, 16245, 16095?\nAnswer: 15901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22a40 (base 11) in base 15?\nAnswer: -9c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1032531, 1032470, 1032409, 1032348, 1032287, 1032226?\n\"Answer: -61*m + 1032592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*11\/(-33)*(-15)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38231 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 37 - 53 - x + 43 - 27 + x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9) + 6\/9. Which is greater: 36\/13 or z?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2080399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1481687 = -5*g, 522*g - 521*g - 296327 = -3*k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515785019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -798, -1999, -4512, -8775?\nAnswer: -15226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8441 is divided by 4220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 230*x - 2417. What is m(10)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2. Let a = -5753 + 9710. Let r(o) = -a + 3957 - o. What is b(r(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10221 (base 3) to base 4\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*w + 4*l, -w + l - 5 = w. Suppose -p = -2 - 2. Put p, w, -5 in increasing order.\nAnswer: -5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**3 + 17*r**3 + 23*r**3 - 613 - 23*r**3 + 23*r**3.\nAnswer: r**3 - 613","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/378240 and 89\/1344?\nAnswer: 2647680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14055 + 14060. Solve n - 19 = 5*s, 5*n + 48 - 63 = d*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*r - 4*r + 1 = 0, 4*z - r = 38. Suppose -5*g = -10*g + 60. Suppose -g*w + 27 = -z*w. Solve 4*t = -5*h - 23 - 7, -2*h - t = w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**3 + 8*b**2 + 6. Let h(a) = -6*a**3 - 9*a**2 - a - 7. Let m(f) = -5*d(f) - 4*h(f). Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = -134. Suppose 5*i - 10 = -2*m, -5*i - c = -0*i - 5*m. Suppose -j + 5 = i, -8*b + 3*b - 4*j = -90. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p - 323*p + 1603 = -142*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 227452824.\nAnswer: 227452824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*i**3*v**3 + 4148*i**3*v**2 - 3*i**2*v**2 + 212809*i*v**3 - 307*i*v**2 wrt v.\nAnswer: 468*i**3 + 1276854*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u + 5*t - 14 = 0, 0 = u - 4*t + 14. Let r(z) = 15*z + 1. Let l be r(-4). Let i = -56 - l. Put i, -4, u, -5 in descending order.\nAnswer: i, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -6. Suppose -3 - 12 = -5*h. Let r be 11 - g*h\/(-6). Is -1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1431 = 6*x - 7*x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 5*j + 5*j + (57*j + 22*j**2 - 57*j)*(0 - 2 + 1).\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/12 + 7*i**3\/6 - 3*i**2. Let b be ((-11)\/5 - -1)*-5. Is h(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764464305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*10\/16)\/((-11)\/((-220)\/30)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 126.3. Let q = -7 - o. Let t = 39.2 - 39.3. Which is the biggest value? (a) t (b) 6 (c) q (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) + (sqrt(13) + -1)**2 - sqrt(13)) + sqrt(104)\/(sqrt(24)\/sqrt(3)) + -2.\nAnswer: -sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1128, -2367, -3632, -4935, -6288, -7703, -9192?\n\"Answer: -2*y**3 - y**2 - 1222*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 20*t + 1. Let u be l(20). Sort -3, 2, u.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Let a(l) = f*l - 2*l + 3*l. Let i(r) = -42 + 42 - 3*r. What is i(a(z))?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/(-6*2*2\/(-84))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/30 + (-22)\/(-33). Suppose 3 + 3 = 3*j. Suppose -n = j*n - o + 4, -14 = 5*n + 2*o. Which is the biggest value? (a) 0.5 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -57 + (196 - 164).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/549395 and -3\/529417.\nAnswer: 29117935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24 - 20 - 10 + m**2 + 9*m. Let l be s(-9). Let c be -5 - 5\/((-5)\/(-2)). Is c at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/2)*i))**(1\/6))**(-1\/8) assuming i is positive.\nAnswer: i**(1\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l**2 + 5*l - 3. What is r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12954945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.976 - -0.024. Which is the nearest to 0.1? (a) -2 (b) 2\/15 (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 56.3. Let d = -3.25 - m. Which is smaller: d or 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217800 divided by -2200?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 12) + (3 - 9) - -20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 100 + z**3 + z + 5*z**2 - 13*z**2 + 6*z**2. Let k be l(0). Round k to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21593478 and 130518?\nAnswer: 194341302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 4 = -15*r + 5*b, r - 3*b - 2 = 0. Let w(d) = 28*d - 53. Let x be w(r). Let l be (2\/(-24))\/(1\/(-2)). What is the nearest to 1 in -4, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 6 - 4 - g + 3*g**2. Is 11 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.7 - 10.8. What is the closest to f in -2\/5, 2, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 + 5*p**2 + 7*p - 4. Let i(l) = -l**3 - l**2 - l + 1. What is 10*i(o) + 2*u(o)?\nAnswer: -2*o**3 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*x + 5*d, 5*x - 2 + 1 = 3*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 10*y**2 - 4*y - 17. Let h be t(8). Let o = -46 + h. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 - -bae?\nAnswer: be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**2\/2 - 1. Let t(i) = 5 + i - 5. Calculate t(z(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -182, -733, -1652, -2939, -4594, -6617, -9008?\n\"Answer: -184*c**2 + c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8590061, 8590022, 8589985, 8589950, 8589917, 8589886?\n\"Answer: l**2 - 42*l + 8590102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-7)\/(0 - (3 + -2)) and ((-42)\/(-30))\/(1\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*c = -108*c - 34. What is the closest to 2\/5 in 3\/2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - ((-17 - -18) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 + -4 - 2 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -8. Let s(o) = -5*o - 4. What is the units digit of s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 751525194 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 11*d - 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w - 47 + 3*w**4 - 24 + 66 to the form t*w**4 + s*w**2 + y*w + u*w**3 + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 7, f: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 + 12*3028\/16.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -363 and 0.04.\nAnswer: -362.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/983 - 49247\/88470. What is the common denominator of 31\/830 and n?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 67.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**3 - 3*a**2 + 9*a - 2. Let r(t) = 10*t**3 - 2*t**2 + 6*t - 2. Calculate 2*b(h) - 3*r(h).\nAnswer: -10*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 13282*m - 13278*m + 387, d - 20*m = 1865 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-12)*(-10)\/(-2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2233299691 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 226 = -184 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatatataaa. Give prob of picking 1 t and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -486*y - 76*y - 16*y - 51*y + 40*y as o + x*y and give x.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846686?\nAnswer: 2, 379, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14340*n**3*o - 540539*n**3 - o wrt o?\nAnswer: -14340*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 279*l. Let y(h) = 2*h + 387. Calculate y(g(q)).\nAnswer: 558*q + 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9942 = 2*o, 0 = -5*k - 2*o - 3126 + 27981. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 + 2*a - 1. Let p(c) = c - 5. Let n be p(5). Let f be 9\/(-3) - -4 - n. What are the prime factors of m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -2*b**7\/35 + b**4\/12 + 10*b**3 - 8*b**2 + 5. Differentiate t(n) wrt n.\nAnswer: -48*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -535 - -549. Is (-28)\/4*(-18254)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*m + 7162 + 3498 = -922*m + 341*m for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 11) in base 7?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7907.2077 hours?\nAnswer: 47.0667125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 52686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35798, -143495, -323098, -574607?\nAnswer: -898022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-225)\/(-10)))\/((-154)\/110)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/3000 and -23\/24950.\nAnswer: 1497000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69*-10*((-21)\/(-6))\/(-7). What is the greatest common divisor of 460 and x?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -24, 0 = 6*b - 10*b + k - 2. Suppose w + w = -4*o - 6, -5*w - 3*o - 1 = 0. Sort 4, w, b.\nAnswer: b, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-6)\/(-9)). Suppose -u + 0*u = f. What is the nearest to u in 6\/7, -0.3, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2382.1*9\nAnswer: -21438.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11448\/(-2106))\/(-106) - (-140)\/(-1209)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 7*i**2 + 6*i - 6. Suppose -35 = -4*r + b - 2, 5*r = 3*b + 50. Calculate the remainder when 69 is divided by u(r).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 16*c**2 + 21 + 10*c**3 - c**4 - 13 + 8*c - 2*c**5 - 11. Determine d so that a(d) = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*n - 286*n - 50*n - 5487 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 49 = -g, 5*g - 22 = 5*n - 67 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41736*m - 41738*m + 8352. Is m a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:53 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 10*r - 19. Calculate b(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.56787ng to tonnes.\nAnswer: 0.00000000000000956787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 25 = 3*h. Let d be 2*(-1 + h\/(-4)). Suppose i - 50 = -4*w + d*i, 5*w = -5*i + 25. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -171.9604. Let u = a - -0.04. Round u to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89355 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 + 5*w + 5. Let r be t(-5). Suppose 0 = -0*g - r*g - 40. Let q be ((-3)\/2)\/(4\/g). Solve 3*s - 7*n - 7 = -q*n, -n + 8 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 7. Let h be m(-3). Suppose -h = -2*q + 4*y, -4*q + 5*y - 5 = -64. Let g be -3 + q + -3 + 5. Solve g = -5*j - 0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -1 (b) -0.5 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 51 + 836)*(-4*u + 4*u - 3*u)*(0 + 0 - 2)*(-5*u**3 + 4*u**3 + 3*u**3).\nAnswer: 9924*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 + 5*x. Let o(y) = 8*y**2 - 9*y + 2. Let j(m) = -m**2 - m + 1. Let g(b) = -2*j(b) + o(b). Determine 5*g(d) + 7*u(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-72 - -9) + (7 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 + 2*c + 3. Let x = -768 - -766. Calculate p(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-514)\/(-74) + (-63 - -123) + -67?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 422?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2392*s + 16748. What is g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*g = 257*g - r + 5, 0 = -r - 3 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.269 and -5.\nAnswer: 6.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*l**2)*(-8 + 8 + l)*(-9*l - 16*l - 25*l).\nAnswer: -150*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320120 (base 7) in base 2?\nAnswer: 10011101000111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13210022 (base 4) to base 13.\nAnswer: 11147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9 - 284*f**2 - 5 + 241*f**2.\nAnswer: -43*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3295, 11970, 26427, 46666, 72687, 104490?\nAnswer: 142075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23635293 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 0.5 (c) 3\/7 (d) 2\/5 (e) 650\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 2*v**5 + v**2 + (-2*v**3 + 2 - 2)*(5 - v**2 - 5) + (-1108*v - 3*v**2 + 1108*v)*(0 + v**3 + 0).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 - 19*s - 8. Determine x(-7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 31. Let d be i(-29). Factor -7100*y**3 - 6*y**2 - 12*y**d + 7098*y**3 - 16*y.\nAnswer: -2*y*(y + 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 12. Let w(m) = 15*m - 33. Let o(k) = -11*l(k) + 4*w(k). Let a(y) be the second derivative of -y**3\/3 + y. What is 11*a(h) + 4*o(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (76\/(-40) - -2)\/((-3)\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8725661.\nAnswer: 7, 41, 30403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5531227 (base 9) in base 8?\nAnswer: -13256571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -64. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/16)\/((-1860)\/248). Put f, 3\/5, -70\/11 in descending order.\nAnswer: 3\/5, f, -70\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:53 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*v - 6*v - 164 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 4. Let z = -13 - -4. Let f = z - -8. What is the nearest to p in f, 4\/7, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/4)\/((-6)\/(-36)). Let z be 6\/(-9) + (-1)\/3. Let r(v) = -2*v**3 - 1. Let f be r(z). What is the closest to f in -2\/5, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -0*x - 4*x - 302. Solve -132 = -3*g - x*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/33 - 464\/(-319))*(-19661)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in 5, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:07 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x - 251 - 7*x + 224 - x. What is the remainder when j(-21) is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 16490*c**2 + 174720219*c + 747034305876.\nAnswer: (c - 26349)**2*(c + 3228)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097319898?\nAnswer: 2, 4007, 261707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:03 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15876281 is divided by 7938043.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 31 = 2*b + 9*b - 6*f, -10*b + 13*b - 2*f = 4 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 5, i: 1}. What is prob of sequence iy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/30 + -1 + 19\/5. Suppose -p = -5*d + 19, d - 15 = -c*d + p. Solve -d*t = 21 - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 391*s - 29. Solve 2 = -5*t + 6*t, -8 = -s*b + 2*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 62*b + 145 = 0. Let w(k) = b*k - 13*k - 7*k - 8*k. Let r(j) be the second derivative of 3*j**4\/2 + j. What is r(w(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1834)\/9170)\/(((-66)\/9)\/(25\/6*-4))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -48*w - 1435. Let k be v(-30). Solve 20 = 5*l - 5*u, -3*u - k - 7 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:23 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6504362 (base 9) to base 4.\nAnswer: 31103112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*a - 25. Suppose 2*x - a*x + s + 1922 = 0, 5*x - 3200 = s. Suppose -4*z + 5*o + 821 = 0, x = 3*z + o + 9. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.94? (a) 1 (b) -0.2 (c) 0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let j = 19 - 19. Suppose j = -o + 3 + 1. What is the remainder when o is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 = -1. Suppose -x = -2*x. Suppose 0 = -x*h - c*h + 20. Solve 2*w + z + 17 = h*w, -10 = 5*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3195)\/675*5.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 5445.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*i + 2958, -617 = 5*i + 5*g + 2368. Let a = 27 - i. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3278 divided by 1639?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**2 + 10*i**2 + 4*i**2 - 214*i + 10*i**2 + 12*i**2.\nAnswer: 4*i**2 - 214*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184919201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 4*q - q - 5*r, 23 = -q - 4*r. Let l = q - -89. Let f = 116 - l. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-22)\/(-10) - (-15)\/25).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1872333 - 414466. Let k = v - 2157867. What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.3 + 59. Let o = h + 1.4. Let u be (((-2)\/(-12))\/(-1))\/((-17)\/(-68)). Which is the second smallest value? (a) u (b) o (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 2. Let f be a(-7). Suppose -2*q = y - 46, -f*q = -q - 5*y - 106. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 16*h + 21*h + 126. Let c be ((-4)\/(-6))\/((-1)\/(-3)). What is the tens digit of c\/(-12)*-33*(1 + h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*p**2*s**4 + 13*p**2*s**2 + 6*p**2 + 2*p*s**5 - 4*p*s**2 - 2*p wrt s.\nAnswer: 4056*p**2*s + 120*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784) - sqrt(784)*-2)\/(sqrt(648)*1)*-1 + 5)**2.\nAnswer: -70*sqrt(2)\/3 + 323\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 1\/531, 4, -3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -147. Let m = k - -188. Let q = 75.959 - m. Round q to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 1\/4 (c) -25901 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 9*p**2 - 10. Let k be w(-9). Let c be (4\/k)\/((-18)\/810). What is the greatest common factor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 663618244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 1, l: 3, b: 1, w: 1, u: 3, n: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1416*a + 1202. Is w(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23844, 23411, 22978?\n\"Answer: -433*t + 24277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3 + 6*q**2 - 10*q**3 + 13*q**3 - 9*q**2 - 3*q**2 + 4*q**2 in the form n + u*q**3 + y*q + t*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.28 or -159964\/33?\nAnswer: -159964\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 6. Let o be 12\/(-20) - 203\/(-5). Let s = -11 + o. Calculate the remainder when s is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562776.\nAnswer: 2, 563, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (18\/15)\/((-36)\/(-2160))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j - 67832 + 53*j + 67831 + 130*j + 121*j.\nAnswer: 368*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoz when three letters picked without replacement from {m: 1, g: 2, d: 1, z: 7, o: 3, q: 4}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 1:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 111 = -697704*d + 697701*d, -5*d = -2*c + 27 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 9*j = -120. Let d(n) = -27*n**2 - 5*n + 5. Let f(r) = -13*r**2 - 2*r + 2. Calculate j*f(k) + 2*d(k).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfwl when four letters picked without replacement from {n: 3, l: 3, w: 3, f: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(0\/(-9) - (-3)\/9). Let w = -1.5 + 1. Sort x, -4, w in ascending order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.411 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184.3 - -166. What is b rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20617340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + 6*x**3 - 8*x**3 - 4 + 2 + 1 to p*x + y + v*x**3 + o*x**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 37. Suppose 0 = -56*o + j*o + 14. Solve -4*d - 3*u + o = -5*u, 3*d + u - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9135 and 378450.\nAnswer: 2649150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*o + 2*o, 4*w - 5 = 13895*o - 13892*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273 != 2273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p - 10 - 13*p + 2*p**3)*(6*p + 6*p - 6 - 10*p).\nAnswer: 4*p**4 - 12*p**3 - 20*p + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4))**38 assuming j is positive.\nAnswer: j**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21256.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -69, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4939*t**2 - 50*t - 100. Is b(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1302 by 21.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4984 + 3947 - 13840 = -2256*x + 37955 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/111, 3\/5, 4.\nAnswer: -38\/111, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5\/4 - 25*v**4\/4 - 15*v**3\/4 + 85*v**2\/4 - 25*v\/2 = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101001001010111 (base 2) in base 13?\nAnswer: 1b681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116313 divided by -1.\nAnswer: -116313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -15, 20, 5 in descending order.\nAnswer: 20, 5, 0, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 238305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -207, -147, -47, 93?\n\"Answer: 20*n**2 - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*d + 2*d. Let j = d + 6. Let h(t) = 3*t**2 - 3*t**2 - 1 + j*t**2 - 4*t**2. What is h(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 6*i + 12*i + 2*i**2)*((-1 - 2 + 1)*(-4*i + 5*i - 3*i) + i + 5*i - 3*i).\nAnswer: 14*i**3 + 49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4003 to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*d = 79 - 51, -5*d = 5*l + 55 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(1*sqrt(6)) - (3 + sqrt(76)).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/92*(-7636)\/1992.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, 3*s = 4*q + 30 + 1. What are the prime factors of (-6)\/9 - (294\/s)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1885055 seconds in nanoseconds?\nAnswer: 188505500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 23064 + 23256 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*a = -46, 5*p - 33 = -3*a + 44. Find the first derivative of l + 148*l**2 + p*l**3 + 10 - 72*l**2 - 76*l**2 wrt l.\nAnswer: 48*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:00 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-11 + 11 - (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 2*u. Let p(g) = 2*g + 3*g - u*g. Let c(j) be the first derivative of -2*j**3\/3 - 2. What is c(p(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2612665 divided by 55\nAnswer: -47503","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 974 and 307297.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 99.53205 seconds?\nAnswer: 99532050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862898255 to the power of 1\/2, to the nearest integer?\nAnswer: 43161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50452077 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4318 - 722 + 1876 + 507)*(4*x**2 - 2*x**2 - 4*x**2) - x**2 + x**2 + 3*x**2 to the form m*x + c*x**2 + f and give c.\nAnswer: -11955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24323773099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*v = -65, -8 + 53 = 6*g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221 + -1005.2028.\nAnswer: -784.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11770 + 11768.2182. What is x rounded to 2 dps?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - 31420?\nAnswer: -31510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2283\/(-575316)*(-9)\/(-2).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02621323 - -7822.\nAnswer: 7822.02621323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.19*0.76383.\nAnswer: -62.0153577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 142. Let x be q(-11). Which is the nearest to -1\/9? (a) x (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6 + 11*n - 16*n + 2*n**2 - n**2 - 1. Let j be p(5). Suppose j*o + 0*o - 3*x = 27, 4*o - 2*x = 20. Put 4, o, 5, -1 in decreasing order.\nAnswer: 5, 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1208 = 5*u + 393, -5*u + 311 = 2*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*l - l**2 - 8184 + 4092 + 4092.\nAnswer: -l**2 + 215*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.07790903 rounded to 5 decimal places?\nAnswer: -0.07791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 44. Let r(t) = -37*t + 9 + 80*t - t**2 - l*t. Give r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1137473 and 58496?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22014753 to the nearest integer?\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - (-11 - -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 - 571*i + 12. Let o(v) = -52*v**2 + 3998*v - 88. Calculate 22*g(m) + 3*o(m).\nAnswer: -2*m**2 - 568*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -32*s - 60*s + 355 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/210*(-133)\/(-10))\/(22\/110)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3877, 3885, 3897, 3913, 3933, 3957?\nAnswer: 3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h**3 + 3*h**2 - 2*h - 2. Let d(b) = -12*b**3 + 4*b**2 - 3*b - 3. Calculate 2*d(c) - 3*k(c).\nAnswer: 15*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9349\/5 or -1871?\nAnswer: -1871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (93636\/729 - 78).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*w + 43, 10 - 5 = 5*w. Let f = -109 + 182. Calculate the remainder when f is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 3. Let b = l - -12. Let f = 11 - b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 4*n**2 + n. Let d be z(-4). Let g be (d - -3)*3\/(-6). Let g*x**3 + x**2 + 1\/2*x + 0 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24478296 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 + 6707*w - 75 - 76 - 80.\nAnswer: 6707*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25a + 2?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(30)*1 - sqrt(30)) - sqrt(1080)*-5)\/((sqrt(150) + (sqrt(150) - (sqrt(150) + 3*sqrt(150))))*-2*1).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21052.16981 - -0.16981. Let w = s + 21061.9972. Let d = 10 - w. Round d to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 27*m**3 + 5*m**2 + 7*m + 22. Let o(n) = 14*n**3 + 3*n**2 + 4*n + 11. Determine 3*g(t) - 5*o(t).\nAnswer: 11*t**3 + t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 944, 983, 1014, 1031, 1028?\n\"Answer: -y**3 + 2*y**2 + 40*y + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 2. What is the tens digit of -7*(p - (-5 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + -12?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 59*w = -152*w + 3600 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67066383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1158888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-18) - (-10)\/45\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 80, 184, 330?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (47\/141)\/((-2)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = 7*s - 4*s - 4*p, -4*s + 4*p - 804 = 0. Let o = s - -579. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122121002 - -110022?\nAnswer: 200001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*2*(sqrt(42)\/sqrt(2) - sqrt(21)))\/(sqrt(24)\/((sqrt(72)\/sqrt(3))\/sqrt(3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, y: 3, m: 4, z: 3, c: 3}. What is prob of picking 1 m, 1 y, and 2 z?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 716000 (base 8) in base 12?\nAnswer: b4a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 + 64. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376\/(-2068)*2\/1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*p - 15, 0*r - 4*p - 21 = -r. Suppose 0 = h - r*q + q + 36, 4*h + 159 = q. What is the remainder when 9 is divided by 14\/4*h\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**4\/4 + 7*y**3\/3 + y**2 + 10*y - 7. Calculate the remainder when c(6) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13)*-2 + sqrt(13)) + -1*sqrt(468) - -5*(sqrt(325)*-2)**2) + (-3*-1*sqrt(91))\/(sqrt(7) + sqrt(252) + 3*sqrt(252) + sqrt(252) + sqrt(252)).\nAnswer: 3*sqrt(13)\/37 + 6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 3443, 2, 0 in increasing order.\nAnswer: -4, -3, -2, 0, 2, 3443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 3874*z**2 + 0*z + 281*z**2.\nAnswer: 4155*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -16*d + 155 - 247, 5*d + 13 = -4*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 + -7 - 0 - 44?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5720 divided by -33\nAnswer: -520\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 162708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 2*m - 3. Suppose -5*j = -20, -3*z - 2*j + 5*j = -3. Suppose -13 + 3 = z*s. What are the prime factors of p(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18043*z**2. Let p(t) = 7*t - 2. What is p(v(o))?\nAnswer: 126301*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, 375, -4, -29.\nAnswer: -29, -4, 1, 4, 5, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + z)*(2 + 4 - 13)*(0 + 0 - 2).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 6. Solve -7 = -b*k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64578182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1. Let i = 997 + -2160. Let r = i + 3494\/3. Which is the second biggest value? (a) m (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/10*((-22)\/4 - -5)\/1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50255917 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*s**2 + 323*h**3 - 296*h - 5918*s**3 wrt s.\nAnswer: 8*h**3*s - 17754*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40709 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -91. Let y = 46 + f. Suppose -3*p + 629 = -4*s, 2*s - 499 = -y*p - 103. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4150 + -4561. What is the smallest value in c, -2, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 177*o - 399. Is 3 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.1 (b) 2 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Let b(a) = 8*a + 8. Let d(z) = z**3 + 3*z**2 - 2*z + 5. Let y be d(-4). Let s(j) = y*b(j) + 21*i(j). What is the derivative of s(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(150\/(-45))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3 = -605*l + 600*l, 3*q = -2*l - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in 395\/6, 2\/3, 17\/4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let r(z) = -3*z**2 - 2*z + 2260. Calculate r(j(g)).\nAnswer: -27*g**2 - 6*g + 2260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2498*m - 14. Calculate u(1).\nAnswer: -2512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31908, -63818, -95728, -127638?\nAnswer: -159548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 448441 - 269400. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14 = 11*m - 6*m, 0 = 3*m + 4*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 31 = -4*c + 4*g - 1, -9*g - 5 = 4*g - 57 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlzzlqlqqzqqqlqqzzz. Give prob of picking 1 l and 2 q.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -265 (b) -2\/7 (c) -2 (d) 11\/2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46184 + -26832. What is the thousands digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98) - (-2 + sqrt(98) - sqrt(98))) + -2.\nAnswer: -28*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*i**2 + i**3 + 485*i**2 + 3*i in the form o*i**3 + y + d*i + v*i**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 11*k - 14. Let c be d(10). Let m be -3*92\/c*10. Let i = m + -61. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1898*h**2 + 1900*h**2 - 5700*h**2 + 1899*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 + 7*q**3\/3 + 7*q**2\/2 + 10*q - 13. Let a be b(8). Is ((252 - -5) + -8)*a\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a171a8 (base 13) to base 15.\nAnswer: 4e3387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5497 + 5810. Calculate the remainder when a is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = t, 0*t = 3*t - 2*c + 130. Calculate the common denominator of -187\/90 and 147\/(-108) + 6 + t\/8.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0 (b) -3 (c) -5 (d) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 521686 not equal to 521687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 4*c + 136. Let z = 19311 + -19295. Calculate the smallest common multiple of c and z.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 + 2 - 1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -895 + 1911. What are the prime factors of m?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/12542112 and -13\/84744.\nAnswer: 12542112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 241*b - 3259. What is the remainder when 201 is divided by t(14)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 3*y - 54. Let k(m) = m**2 - 2*m - 27. Determine -3*b(x) + 5*k(x).\nAnswer: -4*x**2 - x + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94068, 188552, 283036, 377520, 472004, 566488?\n\"Answer: 94484*m - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1856.887 milligrams to tonnes.\nAnswer: 0.000001856887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -161. Suppose 37*z = 34*z + i. Calculate the highest common factor of 32 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 254*w - 6943. Give x(-25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, j: 4}. Give prob of picking 4 j.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 = 3*p, -p - 3 = -4*o + 11. Suppose -o*w - 4 = 2. Is -26\/33 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 147917.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3040+-11571\nAnswer: -8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 83*z - 490 - 510 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -133.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 36. Let a = 105 + -148. Let j = a + r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-5)\/20*3). Let z be 20\/3 + (-3)\/(-9). Let b(d) = 2*d + 3. Let k(g) = g + 2. Determine o*b(m) + z*k(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -20. Suppose c = i + 2. Suppose 113 - 657 = -i*w. What is the highest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 2. Let m be (2\/q)\/((-2)\/(-8)). Is (-586)\/(2\/(m - 5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121211020221 (base 3) in base 15?\nAnswer: 681bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1022\/23 + -2155\/69. Let k = 75 + d. Let f be -4 + 4 + 1\/(-7). What is the nearest to 0 in -0.5, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(0*d**2 + 2*d**5 + 0*d**2) - d**5 - 3*d**5 + 6*d**5 + (8*d - 8*d + 6*d**4)*(1 + 2*d - 1).\nAnswer: 16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 2*o)*(-2*o**3 + 5*o**3 - o**3) + 2*o**3 - o**4 - 2*o**3 - 15*o**4 + 2*o**4 - 6*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -9*c**5\/2 - 741*c**4\/2 - 5457*c**3\/2 + 190857*c**2\/2 - 139017*c - 236808 = 0.\nAnswer: -69, -26, -1, 8\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1641 + 401 = -4*r, 3*i = -3*r + 876. What is the greatest common factor of r and 6450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o**2. Let c(h) = -742*h + 2. Determine c(l(a)).\nAnswer: 14098*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = s + 12, -8*s + 4*v = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m**4\/7 + 1623192*m**3\/7 - 541052*m**2\/7 - 128824*m - 180354\/7 = 0.\nAnswer: -1\/3, 1, 90177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 42*z**3 - 6*z**2 + 6*z + 1. Let i be g(1). Solve -38 = -5*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0 + 8 + 7*l + l**2 - 30 + 11. Give v(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 - g**2. Let q be v(-1). Suppose -r = -4*t - 48 - 21, q*t = -4*r - 28. What is the remainder when 5 is divided by (-14)\/t + 2\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(104) + 1*sqrt(104))*6)\/((sqrt(64) - 4*(sqrt(64)*2 - sqrt(64)))\/sqrt(8)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -7*o**4\/4 + o**3\/3 - 4*o**2. Let s = 3 - 7. Let k be j(s). What is k rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -323 - -1618\/5. What is the nearest to -3 in c, 0.2, 2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 7*b**2 - 13*b - 28. Let n be m(9). Solve -3*d = -x - 0*x + n, 0 = x - 2*d - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.3, 2, -85, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4239606 by -6.\nAnswer: 706601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.709 and -8195.3?\nAnswer: -30396.3677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 142*s**2 - 5*s - 13. Let q(c) = c**3 + 10*c**2 + 12*c + 25. Let j be q(-9). What is the hundreds digit of d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjk. What is prob of sequence jk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 350381, 350435, 350575, 350843, 351281, 351931, 352835?\n\"Answer: 7*p**3 + p**2 + 2*p + 350371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -2, 140, -4.\nAnswer: -221, -4, -2, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 1, g: 1, s: 2, n: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 84*y - 9408. Let w be x(114). Calculate the greatest common factor of w and 3000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59499175 is divided by 2340?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z**2 + 4*z - 4. Let t(p) = 379*p**2 - 139*p + 131. Let k(s) = -380*s**2 + 140*s - 130. Let x(y) = -4*k(y) - 5*t(y). Determine -135*u(a) + 4*x(a).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 n when three letters picked without replacement from {d: 2, k: 1, o: 5, p: 1, w: 2, n: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -348, -356, -370, -390?\n\"Answer: -3*p**2 + p - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and -147433987467.\nAnswer: -147433987469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmmmmmmmmrmmrmrrrm. What is prob of picking 1 m and 3 r?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9730*f + 2006 = -9848*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0093106 and -0.63.\nAnswer: -0.005865678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2 - 1140*n + 108300 = 0.\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11123423 (base 6) in base 8?\nAnswer: 1223547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 85 - 162. Let i be j\/(-65) - (-1)\/5. Suppose -4*y + 28 = i*q, -y + q = 4*y - 47. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/57 or 1?\nAnswer: -7\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 48*p + 3*k - 37 = 0, 5*p = -4*k + 26. Sort -1, p, 1, 4, -11 in ascending order.\nAnswer: -11, p, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570650259 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 0.92. Let x = -1.2 - -1. Which is the closest to t? (a) 0 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2. Let z(g) be the first derivative of g**4\/24 - 5*g**2\/2 + 3. Let f(r) be the second derivative of z(r). Give s(f(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + k = 13 - 20, 15 = -5*k. Solve 17 = -n*v - 3*m, -v = -2*v + m + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120323332 - 0?\nAnswer: 2120323332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*h + 435, 0 = -a + 4*h + 369 + 74. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 14679.43\nAnswer: 4403.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72440 is divided by 1019.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9 + 3*w + 15*w**2 - 8*w + 2 - w**3. Let z be f(14). What is the greatest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696078 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1 - (6 - (3 + -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 136.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14869?\nAnswer: 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71906 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4 + 6124*v**3 - 24564*v**2 - 6124*v + 24560 = 0?\nAnswer: -1535, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 101700000 to the nearest 1000000.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 - 367*a**4\/2 + 22685*a**3 - 972719*a**2 + 6866629*a\/2 + 8857805\/2.\nAnswer: (a - 121)**3*(a - 5)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.215175 rounded to 2 decimal places?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25216 or 26?\nAnswer: 25216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 11*v = 24. Let y(k) = k**3 + 6*k**2 - 4*k + 7. Let w be y(v). Solve -5*g - 6 + w = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42565?\nAnswer: 5, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24250 is divided by 8080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 + d**2 - 4*d + 3. Let y be o(1). Suppose y*l = 7*l - 4. Suppose l*z = 3*z + 3, -4*z - 8 = -4*n. Put -3, n, -2 in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**6\/15 + 2*s**5\/5 + s**4\/3 - 4*s**3\/3 - 2*s - 2. Factor m(g).\nAnswer: -4*g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10670635*w + 6*w**2 - 10670635*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1559887 or 1559885?\nAnswer: 1559885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4263 and 145.\nAnswer: 21315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n. Calculate q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6538*m - 6 + 0 - 6535*m + 2 + 2 - 4.\nAnswer: 3*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:08 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) - -3 - 1. Suppose -t*h + 4 + 12 = 0. Calculate the remainder when ((-66)\/8)\/3*-4 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 2\/13, 15.5, 0.5, -5, -4?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let n = 6 + -3. Suppose 2*a = 3*k - 16, 8*k - y*a = n*k + 26. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -60, -134, -240?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 58 (b) 0.1 (c) 230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77846044 times -0.4?\nAnswer: 31138417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5287920003)\/12 - (-158)\/632. What is r rounded to the nearest 1000000?\nAnswer: -441000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 - 1 = 0. Find the common denominator of (-21)\/30 + 2 - k and 27\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1737*2 + (3 - 0*(-11)\/(-33)). What is the highest common divisor of 114 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 - (-88 + 101 + -86)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 768.2808 milligrams?\nAnswer: 768280.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 693\/5 - 139. Let i = 0.1 + -0.4. Let d = i + 0.1. Sort d, a, 0.2 in descending order.\nAnswer: 0.2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(8))\/(sqrt(27)\/sqrt(27)) - (-6*(sqrt(2) + -2 + sqrt(200)) + -2)**2.\nAnswer: -8812 + 1326*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1468946 and 2.\nAnswer: 1468946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 514875632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(27))\/sqrt(3))\/((sqrt(12)*2)\/sqrt(4)*4))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2*o**2 + 9*o**2 - 3*o**2)*(4*o**2 + o - o).\nAnswer: 8*o**5 + 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1322 + 1414 = 0. Suppose 0 = k - 7*k - t. Let y = k - -144. What is the greatest common divisor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022312683 + -76.479\nAnswer: -76.501312683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 792 = 12*s. Calculate the greatest common divisor of s and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -4*s + 2*s - 13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v**2. Let l(d) = -6*d**2 - 12*d. Determine l(w(r)).\nAnswer: -1944*r**4 + 216*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 3577*i**2 - 164*i**2 - 3413*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -600 - -1080. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -1)\/(4\/(-10)). Suppose -2*l = n - s - 1, -5*n = 5*l - 40. Factor 6*a**2 - a - 3*a**4 + 4*a - 6*a**3 + 0*a - 3 + 3*a**n.\nAnswer: 3*(a - 1)**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 53 - 14 + 2*j - 80. Determine x(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 22. Give j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(324) - sqrt(36))\/sqrt(12) - (3 + (sqrt(24)\/sqrt(2) + sqrt(12))\/sqrt(4)))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -128, -437, -1046, -2057, -3572, -5693, -8522?\n\"Answer: -17*g**3 + 3*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (1 - -30) - 8) + (-6 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n - 8*n**2)*(-n**3 + 2*n - 2*n) - 5*n**5 - 2*n**5 + 4*n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1) - 3*(-7 - -3). Which is bigger: q or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44084295637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(4\/(-24)). Let s be ((-1)\/1)\/(1\/6*3). Sort z, 1, s in decreasing order.\nAnswer: 1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 7. Let d be x(6). Let f = -1155 + 1166. Calculate the remainder when 62*(1 + d\/2) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515 (base 6) to base 2.\nAnswer: 10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.3, -1\/2, 0.3, -4, 5 in ascending order.\nAnswer: -19.3, -4, -1\/2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y**3 - 14*y**2 + 83*y + 12. What is the remainder when 3986 is divided by w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*w**2*y**2 - 7*w**2*y - 99*w**2 + 2*w*y - 2*w wrt y?\nAnswer: 40*w**2*y - 7*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 2 = 2*p, -n = 4*p + 24. Let b = -3 - p. Solve 2 = -2*h + b*m, -3*h + 2*h = -2*m - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4700, -18, 0.07, 3, 0.1, -2\/9?\nAnswer: 4700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6888?\nAnswer: -6886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302703234 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1348179 and 47\/2107?\nAnswer: 9437253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 3 - 3 + 5 + 12*h. Let x be m(12). Suppose 36 = x*j - j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932320?\nAnswer: 2, 5, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 121 - 5 = 0. Suppose 4*u - 1 = -y, -6*u + y - 10 = -u. Let b be 124\/2 - (u - 0). Calculate the greatest common divisor of r and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.663635 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 33422 - 3218. Let d = -15119\/9 + x. Is -1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 11 - 25 = 0. Let p(c) = c**2 - 6*c - 11. Let j be p(7). Sort 5, j, x in descending order.\nAnswer: 5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104420 (base 5) in base 8?\nAnswer: 142662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736, -1474, -2202, -2914, -3604, -4266?\nAnswer: -4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, r: 5}. Give prob of picking 2 a and 1 r.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 27436\/3 + 19*h**2 + 1\/6*h**3 + 722*h = 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -116?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2974956?\nAnswer: 5949912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - (sqrt(119) - -2*sqrt(119))*3))\/(sqrt(42)\/(-2*sqrt(6))) + -1)**2.\nAnswer: -28*sqrt(17) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 666, -4 in decreasing order.\nAnswer: 666, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5389717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900*i - 939*i + 741 = 0. Solve 0 = 3*v - 5*s + i, v + 4*s - 14 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 3*b**2 + 2*b - 4. Let f be k(4). Let z be (3\/f)\/((-1)\/(-4)). Let u(t) = t**3 + t**2 - 3*t. Let x be u(-2). Is z at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 - b**2 - 3*b + 3. Determine q(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102211020210 (base 3) in base 9?\nAnswer: 384223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.13467?\nAnswer: 0.040401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 8. Let t = -10 - i. Let q be 15 + (t - (0 + -3)). Which is smaller: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -662, -655, -648, -641, -634, -627?\n\"Answer: 7*u - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.43306 + 178.22306. Let s = 1.21 + i. Let n = s + -176.38. What is n rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by 1\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12958433482 + -11.\nAnswer: -12958433493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d - 4. Let i(m) be the second derivative of m**3 + 3*m**2\/2 + 9*m. Let t = 46 - 51. Determine t*q(z) - 6*i(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glh when three letters picked without replacement from {g: 2, h: 5, l: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/89, -0.003, -18, -0.5?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -3004250?\nAnswer: -3004321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152628.\nAnswer: 2, 3, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 8. Let h(o) = -o**2 + 4*o. Let b(n) = 3*n**2 - 15*n. Determine y*b(m) - 15*h(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2640)\/(-104720)*1*14\/(-8)\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 258?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 times 26351?\nAnswer: 3188.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**4\/3 + 46*u**3\/3 - 13*u**2 + 12*u + 10. Give a(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 10. Suppose 1 = -h - 6. Let j be t(h). What is the second derivative of -7*s**2 - s**2 + j*s**3 - 3*s + 8*s**2 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*j**5\/4 - 1035*j**4\/4 + 4475*j**3\/4 - 3465*j**2\/4 + 5*j + 45 = 0. What is j?\nAnswer: -9, -1\/5, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508717 is divided by 452.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 374 - 346. Suppose -7 + 47 = 5*g. Suppose -g*u = -4*u + v + 14, 5 = u - o*v. Is -1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1100 - -1144. Calculate the remainder when 53 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide (-21573)\/(-12) - ((-75)\/(-20) - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*z = -4*z - 1, -4*a - 4*z = 0. Solve -8*v + 7*v = a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009626964 to 6 dps.\nAnswer: 0.000963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533777027.\nAnswer: 7, 439, 173699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/5)\/t)**(6\/7)*(t*t**(-1\/7)\/t*t)\/((t\/(t\/(t\/(t*t**(-5)))*t)*t*t)\/t) assuming t is positive.\nAnswer: t**(-127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**5\/5 - 3*y**4\/4 - 15*y**3 - 69*y**2\/2 - 30*y + 65. Factor o(w).\nAnswer: 3*(w - 5)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.82 + 40.53. Round u to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41028 is divided by 4558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132484677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(13\/5)*t\/t**(10\/3))\/((t**(-11)*t*t)\/t**17) assuming t is positive.\nAnswer: t**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1301. Let i(y) be the third derivative of y**5\/60 + 1872*y**2. What is t(i(q))?\nAnswer: q**2 + 1301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6524.8 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019209 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q + 6. Calculate the smallest common multiple of p(-10) and 33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/(((-1)\/3)\/((-2)\/(-6))). Factor -2 + 23*j + 5*j**2 - a - 10*j**2 + 32*j.\nAnswer: -5*(j - 9)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*s, 3*u - s - 2 + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:34 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 21*k + 108. Let h be i(-25). Let g(t) = t + 0 + 1 - 4. Give g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 21*i - 15 + 0*i - 13*i + 7*i**2 + 0*i. Calculate the least common multiple of 9 and w(4).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 4. Let d = 33 - 29. Let g be t(d). Calculate the lowest common multiple of 154\/8 + g\/(-32) and 11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15604177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/120 - 7*f**5\/60 - 3*f**4\/8 - f**3 + f**2. Suppose 17*z = -50 - 52. Calculate the remainder when 33 is divided by h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 344. Let f = z + -152. Solve -4*l = 2*o + 18, f + 2 = -3*o - 5*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 22. Let w(n) = -2*n**3 + 2*n + 2*n**3 + 3*n**3 - 4*n**3 + 3*n**2 - 4. Let f be w(3). Solve -z = f*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i - 10. Let g be 1 - (i + 5 - 4). Suppose 18 = 4*o - g. Sort o, -5, 1 in decreasing order.\nAnswer: o, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -746 + 1492 + 98*r**2 - 751 + (-17 + 18 + 8)*(-4*r**2 - 2*r**2 + 4*r**2).\nAnswer: 80*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59077, -118154, -177231, -236308, -295385?\n\"Answer: -59077*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*x - 7 + 12 = 0, -4*r - x = 1. Suppose -5*d = -i - 96, r*i - 2*i - 32 = -2*d. Solve w = 6*w - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 1021?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 38*o**2 + 8*o + 7. Let j(f) = -26*f**2 - 9*f - 6. Let b(q) = 3*j(q) + 2*t(q). Let a(z) = 1. Determine 3*a(g) + b(g).\nAnswer: -2*g**2 - 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4840\/363)\/((-4)\/(-30)). What is the greatest common factor of 525 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10274*2.703.\nAnswer: -27770.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 - p + 314. Let b be o(0). Is (33\/(-6)*b)\/(4 - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*12\/(-2). Suppose -185 = 5*f + 2*s, x*f + 59 = 3*s - 52. Let v = f + 58. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpx when three letters picked without replacement from zvzpvvzvvvzpvzvvxzx.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 630 + -3923?\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 207?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -11. Let i(d) = 5*d. Let z be i(1). What is the highest common factor of v and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 45 = -2*i. Let v = -71 + 116. What is the greatest common divisor of v and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*n - 14830 = -53488 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 164? (a) 2 (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1038*o**2. Let s(p) = 194*p. Calculate s(n(j)).\nAnswer: -201372*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (140\/25)\/((-22)\/10) and 19\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + 4 - -1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:41 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 5*u. Solve h + 24 = 5*y, 1 = -y + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 9249*n\/4 + 9251\/2.\nAnswer: -(n - 2)*(n + 9251)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -16, 353, -4, 0 in descending order.\nAnswer: 353, 0, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 - 15*r**2 - 24*r**2 + 43*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - y = -24318, -42*y = -46*y + 12. Does 50 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:43 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-10)\/(-4) - 0. Let x(t) = -21*t + 148. Let f be x(7). Let y be (52\/(-130))\/(-1 - f). What is the closest to l in 1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {w: 4, r: 4, q: 3, k: 8}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 5*h + 1. Let x(k) = -k**2 + 3*k. Let b be x(4). Let j be u(b). Let o(v) = -6*v**2 + 2 + 0 + 30*v**2 - 26*v**2 + 7*v. Determine o(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -41.767?\nAnswer: -375.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21880 - 21880.018986. What is j rounded to 4 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 67?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 264053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 1. Let n = -23 - -38. Suppose -k - 4*k + n = 0. What is r(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j*n*o + 10*j*o**3 + 7*j - 936*n*o - o**3 wrt j?\nAnswer: -3*n*o + 10*o**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29339*g*v**4 - 109615*g*v**2 + 4*g*v - 4*g + 420*v**5 - 6*v**2 + 2*v wrt v.\nAnswer: -704136*g*v + 25200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596 = 223*r + 481 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -481, -5, -2 in increasing order.\nAnswer: -481, -5, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39871, 39675, 39349, 38893, 38307?\n\"Answer: -65*y**2 - y + 39937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 304*b + 9. What is the tens digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 117 = -12. Let k = a + -24. Suppose -312 = -24*q + k*q. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -933*z**2 + 4*z + 4. Let x(i) = 10256*i**2 - 46*i - 44. Calculate 23*m(b) + 2*x(b).\nAnswer: -947*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/156020 in 0, -0.4, 0.5, 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 - 0.27. Let a = 2723870.7999956 + -2723870. Let j = a + x. What is j rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*r + 8*u - 75 = -394*r, -4*u = -0*r - 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92110860 by -5.\nAnswer: 18422172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-690)\/204 + -4 + 56\/(-476))\/(9\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35450216*g**4*v**3 - 21*v**3 + 44721*v - 4 wrt g.\nAnswer: -141800864*g**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.88 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386081.\nAnswer: 3, 337, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {r: 4, p: 12, d: 2, x: 2}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 139?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*((sqrt(1300) - (sqrt(1300) + 1))*-4 + (-3*(sqrt(1300) + -1 + sqrt(1300)) - sqrt(1300))) - (-4 + -2*sqrt(1300) - 6*(-2 + sqrt(1300)))))**2.\nAnswer: -242000*sqrt(13) + 15742100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -15, 194, -4, -13, 2, 16 in ascending order.\nAnswer: -15, -13, -4, 2, 9, 16, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 3. Let b(z) = 13. Let q(g) = 7. Let k(n) = 6*b(n) - 11*q(n). What is 3*k(h) + v(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386*y + 142069 = 1391*y + 2*c, -56822 = -2*y + 2*c. Is 33 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 5, -2.8, -2\/5, 1515 in ascending order.\nAnswer: -2.8, -2\/5, 0.12, 5, 1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**2\/3 - 1180*o\/3 + 296\/3.\nAnswer: -4*(o + 74)*(4*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.50278 + 14.5. What is i rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/23)*r\/r**8)\/((r\/r**13)\/r*r**(-13)))**(-1\/89) assuming r is positive.\nAnswer: r**(-439\/2047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/280 - d**6\/32 - d**5\/10 - d**4\/8 - 11*d**2. Let r(g) = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -56, -77, -116, -179?\n\"Answer: -l**3 - 2*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - 9.12. Let p = n - -7.6. Let b = p - -1.2. What is the closest to -0.1 in 4\/3, b, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*n**2*w - 4*j*n**2 + 9*j*w + 2*n**2 + 2*n*w**2 - 1393*n*w + 5*n + 8 wrt w?\nAnswer: -j*n**2 + 9*j + 4*n*w - 1393*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 11 = p, -2*p = 4*s + 30 - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-66)\/(-14). What is the nearest to -1 in 1, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7383, 58902, 198739, 471054, 920007, 1589758, 2524467, 3768294?\nAnswer: 5365399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:17 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67\/12 - -25\/4. What is the closest to 0.1 in 4, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 21 + m**4 + 5*m**3 + 2*m**2 - m**2 - 52 to the form c*m + p*m**4 + v + s*m**3 + f*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q. Let c be t(-2). Let z(y) = -5*y - 94. Let u be z(-9). Let l = -1 - u. Calculate the greatest common factor of l and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y + 10. Let p be v(-3). Let d be (-19 + p)*(-3)\/(-2). Let i = d - 13. Solve -h = -i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 + 9 = 5*y, -2*y + 5*i = 5. Suppose 2*a - y = 3*a. What is the biggest value in a, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 5*d + 2*d)*(-d**2 - 26*d + 24*d + 4*d**2).\nAnswer: 21*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233 - 0?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/2))\/((w**13\/w)\/w))\/(w*w\/(w*w**0*w))**14 assuming w is positive.\nAnswer: w**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 58. Solve 5*i - b + 13 = 0, -2*i + 0*b - 3*b = h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 5833199?\nAnswer: -1749959.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 6:55 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 2. Let c be i(4). Suppose 5*v = -3*k + 125, -c*k + 105 = 5*v - 3*k. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by 46?\nAnswer: -942\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + 0)**2*-1*-6 + -4.\nAnswer: 26396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11104.576 - -11127.57599736. Let j = r - 23. Round j to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1973*t - 3801*t = 76394 + 168755 + 78195 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -185*p**2 - 2*p - 1. Let o be i(-1). Suppose -29*u - 22*u + 89*u = -3876. Let s = u - o. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -2 + 3 + (14 - 26).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031948.338 rounded to the nearest one thousand?\nAnswer: -1032000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4910, 15605, 26302, 37001, 47702, 58405, 69110?\nAnswer: 79817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 144. Suppose p = l + 2*l. Calculate the greatest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1 (b) -2 (c) -2\/59 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let j(z) = -10*z - 41. Let h be j(-15). Suppose 6*q - h - 59 = 0. Suppose 5*o = -3*a - 8, -o + 2*a - q = 4*o. Determine f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 0.2 (c) 7 (d) 3 (e) 2.4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*p - 25*p = -1087153 - 197095. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let a(m) = -14*m + 299. Let z be a(17). Let r = -55 + z. What is the remainder when r is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2136 = 11*z - 7*z. Let d = z - 282. Suppose -7*f + 189 + d = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4)*(-1)\/2. Let z be 1\/(-2 - 5\/(-2)). Suppose -3*a - 15 = -4*v, 0 = 3*a + v - z + 17. What is the second biggest value in a, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-5) + 772\/10. Let h be (-1)\/3 + i\/33. Suppose -h*c + 122 - 30 = 0. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 274*c - 306. Does 8 divide l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcwvskj. Give prob of sequence kj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(18)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4614225 and 421260?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 - 95. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262431?\nAnswer: 41, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.11, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:14 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2. Let q(v) = -29*v**2 + v. Give q(n(f)).\nAnswer: -116*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 668*f - 1. Let b(q) = -12*q**2. Give j(b(k)).\nAnswer: -432*k**4 + 8016*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 3 - -19) + (5 - 4 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -658, -1496, -2680, -4216, -6110, -8368, -10996?\nAnswer: -14000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 94 times -32\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 56. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925903 at most 925904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -51. Suppose -5*m = 5*p - k, 5*m = 5*p - 20 - 45. Suppose -b - b = -3*t + 23, 2*t = -b + p. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16*((-13)\/2 - -4). Suppose 0 = t + i + 1, 3*i - 7*i - w = -5*t. Suppose 2*l = -t*n + 42, -2*n - 3*n - l = -51. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 b, and 1 e when four letters picked without replacement from pbpme?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16 + ((-1)\/4 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 - 5*s + 5. Let n(w) = -w**2 + w - 1. Let v(z) = -k(z) - 5*n(z). Let o(p) = -2*p**2 - 49*p. What is o(v(a))?\nAnswer: -2*a**4 + 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 12*m + 3*m - 3*d, 2*d = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 3 = 0. Let c = 3 - m. Let a = -18 - -18. Solve -4*l + 4*v = a, 3*v - v = -c*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143752)\/354246*(-23)\/2.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51323412 + -2.4.\nAnswer: 51323409.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-65 - (76 - 147))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*d**2 - 2*d**3 + 10 - 9*d - 3 - 2*d**4 + 3*d**3 in the form q*d**4 + l*d + b + i*d**2 + f*d**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/6*t**3 + 3*t**2 - 1\/30*t**5 - 1\/60*t**6 + 0 + 0*t - 1\/12*t**4. What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 243 = i, -249 = -i - 0*i - m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*c**3 + 6*c**4 + 0*c - 1\/6*c**5 + 288*c**2 + 0.\nAnswer: -c**2*(c - 12)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (4 + -5)*-2. Suppose 5*c + 15 - 2 = w*f, 5*f - 19 = -c. Let b(t) = 7*t**2 + 1. Give b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 1020 - 4288. What are the prime factors of f?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 - 4.26. Let s = y + 17. Which is the second biggest value? (a) -0.3 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567482 is divided by 189159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)\/(d*(d**(-1\/5)*d)\/d))**27)**(-3\/8) assuming d is positive.\nAnswer: d**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 140 = -3*v - 128, 0 = 5*v - 5*u - 50. Solve -a - 8 = v*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - 35. Let y(s) = 13*s**2 - 21*s + 3. Give y(c(g)).\nAnswer: 2548*g**4 - 13034*g**2 + 16663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-165) - 32\/308?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/787, -2\/9, 901 in descending order.\nAnswer: 901, -2\/787, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 152)*(-1)\/((-4)\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2709 + -206. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*m + 36 = 0, 6*k - 2*k - 2*m = 34. What is the third derivative of 3*c**2 + k*c**3 - 10*c**3 - 1 + 1 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145898850 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**7\/70 + 3*i**6\/40 - 3*i**5\/20 + i**4\/8 - 9*i**2. Solve v(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1612, -6401, -14382, -25555, -39920?\n\"Answer: -1596*w**2 - w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3432 and 17628.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283830 and 162.\nAnswer: 7663410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -5*u - 4. Suppose -5*c = q + 3*q - 23, 3*q + u*c - 19 = 0. What is the smallest common multiple of 11 and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**9*g**12)\/(g\/g**2)**(3\/53) assuming g is positive.\nAnswer: g**(215\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a century?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 3*f - 7, 2*f = 5*w. Suppose 2*u - 140 = -w*u. Suppose -4*j - u = 2*l - 5*l, 5 = -4*l - 5*j. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + 3 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from uuucucuuuc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/57 + -1 - (53 - 58).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/104 or 784?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*n - 41, 0 = n - 4*f - 6. Let w be 19 + (1 - 6) + 0. Let i = w - 13. What is the lowest common multiple of n and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1853.607 to the nearest ten.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -157 (c) -3 (d) -545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -74\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Let k(i) = -248*i. Give w(k(l)).\nAnswer: -246016*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -38. Let o = f + -40.6. Let j = o + -21.4. What is the nearest to j in -0.3, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*s = 80*s - 4634 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1030)\/(-721) + (-57)\/35. What is the nearest to -20 in 0.1, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4133*b - 54366 = -935*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/(35\/(-20))*-6\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -23*g + 288. What is i(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1267624 and 120?\nAnswer: 19014360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 774*a**2 - 1052*a - 709. What is the derivative of j(y) wrt y?\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 49 - 109. Let z(n) = -n**3 + 12*n**2 + n + 13. Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 5 - 4*d + d + d**2 + 5*d + 3 to s*d + a*d**3 + m + j*d**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 522 - 517. Let x = -163\/22 - -76\/11. Which is the third biggest value? (a) -4\/5 (b) y (c) -2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/40*(-7 - -6).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**(-6\/7)\/(b**(-2\/9)*((b**(-7)*b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(239\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2770925.7 - -2770925.92000233. Let i = q + -0.22. What is i rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 34*w + 3. Suppose -q - 7 = -t, 5*q = -2*t + 3*q - 6. What is the units digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-106)\/((-3)\/((-12)\/(-8)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 19. What is r(6)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243 - -254. Let o be (-18)\/99 - (-68)\/n. Put 3, o, 0, -2 in descending order.\nAnswer: o, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3686344\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*x**2 - 12*x**2 - 7*x**2 in the form j + u*x + d*x**2 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 728 + -576. Let l(d) = -4 + 23 - d + 0*d. Let r be l(0). What is the highest common factor of r and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238436777 bigger than 238436781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - 4*k + 20. Suppose -g = 2*l - 10, -11 = 3*g - 2*l - 1. What is the remainder when q(g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/9 + 56*p**3\/3 - 392*p**2.\nAnswer: -2*p**2*(p - 42)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n - 252. What is the remainder when 82 is divided by l(33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - m**2 + m + 0*m**2 - 2 + 0*m**2. Let j be z(-3). Suppose -k - b = -5*b - 30, 0 = j*b + 8. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.1929?\nAnswer: -0.2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 323. Let t = r - 27. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -75\/314?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 61. Let h(g) = -g**3 + 8*g**2 - 3*g - 8. Let b be h(7). Let a be n(b). Let t be (6 + -5)*1 - (-1 - a). Sort t, -7, -0.4.\nAnswer: -7, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*27\/45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 581 - 572 + d. Let x be y(9). Solve -5*s - s - 6 = x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -3 + 3*t + 1\/4*t**4 - 1\/2*t**3 + 0*t**2. Let a(j) be the first derivative of h(j). Determine u, given that a(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 2030114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-6)*21*1. Let j be (-6)\/(-10) + 77\/5. Suppose 0 = 4*n - j - u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -0.08481?\nAnswer: 0.10481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1189 = -4*w + 128, -3183 = -3*y + 3*w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -105*r - 3472. Let w be l(-33). Let h(i) = -2*i**3 + 7*i**2 + 9*i + 6. Let c(u) = -2*u**3 + 6*u**2 + 8*u + 5. Determine w*c(p) + 6*h(p).\nAnswer: 2*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-5)\/(-2*30)). Suppose 52 = c - 5*g + x, 0 = 3*c - g - 92. What is the highest common divisor of c and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*-3 + 0. Let l = 558 - 556. Solve 3*r - m - 19 = -5*m, -l*m = -i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8941777 (base 10) to base 9.\nAnswer: -17737727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5378*h**2 + 71*h. Let z(y) = -9*y. Determine q(z(l)).\nAnswer: -435618*l**2 - 639*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (124\/10 + -12)*(-10)\/(6\/(-3)). Determine h, given that 2\/5*h**u - 2\/5*h + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 14. Let j be (10\/(-3))\/((-1)\/c). Suppose 0*p = -p + j. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2255\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -129947.715070649 - -0.2\nAnswer: -129947.515070649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -140b?\nAnswer: -142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/6 - 6*g**3 - 28*g. Let m(u) = u - 3. Let w(n) = 1. Let d(k) = 2*m(k) + 6*w(k). Give v(d(h)).\nAnswer: -8*h**2 - 72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 6*m - 13. Let n(k) = 8*k**2 + 23*k + 13. Is n(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let i(j) = 58*j - 2. What is -6*g(p) + 3*i(p)?\nAnswer: 168*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 + 7*p**2 - 2*p**2 + 6*p**3 + 5 - 3*p - p. Is w(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1482031042.6 to the nearest one hundred thousand.\nAnswer: 1482000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6015 (base 7) to base 16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:22 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/120 + l**4\/8 - l**3 - 5*l**2. Let p(v) be the first derivative of i(v). Give p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083498545 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503.\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 0.057397?\nAnswer: -0.860955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*b = 809*b + 248 - 50 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*q**2 - 12*q**2 + 6*q**2 + 12*q**3 wrt q?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2922139633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 3*l**2 + 4*l + 8. Let w(t) = t**3 + 2*t**2 - 3*t - 7. Let q(x) = 2*v(x) + 3*w(x). Let b = -35 - -35. Calculate q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 528625 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 - 1\/20*v**5 - v + 2\/3*v**4 + 0*v**2 + 4\/3*v**3. Does 16 divide y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*s - 5*y, -58*y + 61*y - 14 = -2*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let i = -0.066 + 2.766. Let k = i + -2.9. What is the closest to 2\/5 in b, k, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0, 44, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.532 - 0.468. Let g = 0.2 + -0.3. What is the smallest value in j, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 + 3*y**2 + 534371*y - 17810373 wrt y.\nAnswer: 3*y**2 + 6*y + 534371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/135982 + -1923533281\/2719640. Let s = -3477\/5 - l. Find the common denominator of -21\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6074.\nAnswer: 2, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.691499295 rounded to 4 dps?\nAnswer: 0.6915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - -4) + -2 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680\/612)\/(10\/12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 1 = -f, -h = 2*f - 6. Let x(k) = k**3 + 9*k**2 + 5*k - 9. Let i(y) = -4*y**2 - 2*y + 4. Calculate f*i(q) + 2*x(q).\nAnswer: 2*q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543262, -1086521, -1629780, -2173039, -2716298, -3259557?\nAnswer: -3802816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 229908*y**2 - 282949*y**2 + 0.\nAnswer: -512857*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*b - 4399 = 7405 - 62 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -736, -674, -614?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222189026.\nAnswer: 2, 111094513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcxcbxbbb. Give prob of sequence xcbc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13 - 26*c + 46*c + 3 - 32*c - c**2 - 7. What is z(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, a: 13}. What is prob of picking 2 v and 2 a?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j - 23*j + 10052 - 724 = 0. Calculate the smallest common multiple of 979 and j.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16231, -32460, -48685, -64906, -81123?\nAnswer: -97336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73627085 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 9597.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110010010 (base 2) in base 4?\nAnswer: 132102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + 2. Suppose -2*k - 9 + 5 = 0. What is the lowest common multiple of a(k) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 6. What is the remainder when 56 is divided by z(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8 + 48 + 6711*k**4 - 6976*k**2 + 44 + k**3 - 100 wrt k?\nAnswer: 161064*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, 42315, 2, 1\/5 in ascending order.\nAnswer: 1\/5, 2, 13\/5, 42315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o = -4. Suppose -o*p + 0*p + 78 = 0. Suppose p = j - q, -3*j + 2*q + 1 = -112. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*a + 14, 0*v - 2*v + 10 = -4*a. Let o be (v + 6 - 4778)*4. What is o rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 + 142932*q**4 - 1143312*q**3 + 2286528*q**2.\nAnswer: -3*q**2*(q - 47636)*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 2*106\/68?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 5*t = -12*y - 176540, -5*y + 176537 = 2*t. What are the prime factors of y?\nAnswer: 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 3, -4\/23, -2\/9?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5245318, -10490714, -15736110, -20981506, -26226902, -31472298?\n\"Answer: -5245396*q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v + 3*v**2 - 2*v**2. Let g be f(-1). Let z = -6349 - -6348.5. Sort g, -0.3, z in descending order.\nAnswer: g, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - -2) + 3 + -1 - (-1182 - -1186)) + 89\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (322\/207)\/((-266)\/76)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -29037\nAnswer: -348444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79482, 317871, 715196, 1271469, 1986702, 2860907, 3894096?\n\"Answer: 2*y**3 + 79456*y**2 + 7*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.01 (c) 0.66 (d) -4 (e) 2\/5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/72 - 19*a**5\/18 + 175*a**4\/18 - 340*a**3\/9 - a**2 + 26. Solve g(k) = 0 for k.\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3)*-1)\/(sqrt(2) + sqrt(200) + (sqrt(200) - -2*sqrt(200)) + sqrt(200) + sqrt(2)))\/(-4*-6*sqrt(640)*-2).\nAnswer: sqrt(2)\/19968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 16 - -4 - (2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 2. Let j be i(0). Is 6*1\/(j\/7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2184*s**5 + 2809423*s**3 - 2809423*s**3 + (0 - 2 + 0)*(s**5 + 0*s + 0*s).\nAnswer: -2186*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odncccnedn. Give prob of picking 2 d and 1 n.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221144224 (base 5) to base 6.\nAnswer: -142231303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -12.674, 5, 4, -2 in ascending order.\nAnswer: -12.674, -12, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388157.\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 r when four letters picked without replacement from rrararrr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 67 + 173. Suppose 3*m = -p + 27. Let j = -2 - m. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121489245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ddddxlxxddddddxddxx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 11}. Give prob of sequence jcjj.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4762716 and 10716111.\nAnswer: 42864444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -48. Suppose 0 = -3*n + h - 2. Let g(l) = 6*l - 4. Let y(i) = -11*i + 7. Let v(j) = n*y(j) + 7*g(j). Let s(f) = 14*f**2. Calculate v(s(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-4)\/(-8)*(-2 + 0)). Solve 0 + 2\/3*y**3 + k*y**2 + 0*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 34 = 2*q, -92*q - 86 = -3*j - 90*q. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1166*a - 277651 + 277651 to the form s*a + b and give s.\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242882 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -203021 (base 4) in base 9?\nAnswer: -3068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-33)\/(-27). Let p be -2*1 + (-15)\/(-3). Suppose 0 = 5*z - 3*t - 25, -z + p*t + 0*t + 5 = 0. Sort 1, d, z in decreasing order.\nAnswer: z, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.343171?\nAnswer: 2.402197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s + 18 = 0. Let z be ((-3)\/1)\/(s\/10). Put -3, z, 1 in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-3)\/24*1). Let w(f) = -10*f + 30. Let k(u) = -3*u + 10. Let t(o) = p*k(o) - 3*w(o). What are the prime factors of t(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086041129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40483087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7720, 7717, 7712, 7705, 7696?\n\"Answer: -l**2 + 7721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1600 and -139\/30?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 275*w**2 + 751. Let h(c) = -c**2. Let y(r) = 5*h(r) + m(r). What is the derivative of y(d) wrt d?\nAnswer: 540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 39 = 3. Suppose 0 = -4*d - u + 33. Let z be (-6)\/(-15) - d\/15. Solve z*m = 3*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10990 = -1578*d + 479*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - -23302?\nAnswer: 30103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 + -183. Let a(s) be the second derivative of -7*s**3\/6 - s**2\/2 + s. What is the remainder when a(-5) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1575, 1567, 1569, 1587, 1627, 1695, 1797?\nAnswer: 1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a - 830 + 884 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 27 = 3*l, 0 = -9*z + 4*z + 2*l + 33. Suppose -u - u - 15 = 3*o, -2*u - z = o. Let q = u + 5. Let k(p) = -p**2 + 4*p + 2. What is k(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -22. Let u be 4*2\/20 - a\/(-5). Let x(y) = -y**5 - y**3 - 24*y**2 - 10*y - 6. Let n(r) = -r**4 + r - 1. Let s(f) = u*n(f) + x(f). Factor s(o).\nAnswer: -o*(o - 4)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-12)\/504)\/((-3)\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9537 + -0.0463. Put -3, y, 0.1, 2 in increasing order.\nAnswer: y, -3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(6)\/sqrt(2))**2 + 4 + 5 - (-3 + (1 + sqrt(3))**2 - sqrt(192)*3).\nAnswer: 11 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936724412?\nAnswer: 2, 13, 17, 37, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7213564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17953 in 2\/5, -2\/13, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4126839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -101. Let p(o) = 4*o**2 + 43*o - 33. Is p(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1765*-5\nAnswer: 8825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*a + 1825.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u. Let x(l) = 197*l**2. What is k(x(b))?\nAnswer: 2561*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1036*f**2 - f + 1034*f**2 + 3 - 2069*f**2. Determine i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2. Let z(v) = 574*v. Determine d(z(q)).\nAnswer: -988428*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 1634 = -11*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 9*d - 2. Let n be r(-9). Let m(c) = c + 2. Let u be m(n). Suppose -3*t + u = -6. Solve t*v + 3 = b + 2, -b = v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 1102?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/(25\/75). Suppose 3*w - 4*w - 3*y - 6 = 0, -n*y = 16. Let q(x) = x**3 - 5*x**2 + 2*x + 14. Calculate the remainder when q(w) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b50f - -a?\nAnswer: b519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2602669086 to the nearest integer?\nAnswer: 51016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1124770*f**2*y**2 + 76*f*y**2 + 17613*y**2 wrt f?\nAnswer: -2249540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-17 - -10)) + 8 - 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 1\/6, -5, -60, 324, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -1\/4*n**4 + 0*n**3 - 4 + 0*n - 3\/2*n**2. Find the second derivative of t(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*d = 7*o, -34*d + 16*d - 5*o = -16*d - 56 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*v + 1607 = -79*v - 3969 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g + 112. Let v be l(-15). Solve -9 = -3*j - 3*c, -2*j + 4*c = -5*j + v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58676 - -4314. Suppose 4*w = h + 12592, -5*h + 13*w - z = 8*w. What is h rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 10906 = 10334 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.9 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -9. Solve 5*t = -4*m - g, 0 = -m - 2*t - 3 - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*k - 63, -2*k + 91 = 3*a + 2*k. Let h = -9 + a. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31655389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30420 - 13242. What are the prime factors of b?\nAnswer: 2, 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -986, -991, -998, -1007?\n\"Answer: -a**2 - 2*a - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 - c + 10. What is u(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - s**2 + 5*s**2)*(6*s**2 - 2*s**2 - 3*s**2) + 8*s**4 + 0*s**4 - 4*s**4 + (4*s**3 + 0*s**3 - s**3)*(5*s + s - 5*s).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**2 - 11*y**2 - 6*y**2. Let d(z) = -18*z. What is t(d(c))?\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 1 - (-105)\/3. Calculate the greatest common factor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 26. Let j = 58 - u. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113488 divided by -4?\nAnswer: 28372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-1 - 2 - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 3545*m**4\/12 + 1176*m**2 - 2919*m. Find the first derivative of c(x) wrt x.\nAnswer: 7090*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*o**4 - o**4 - 3*o**4 - o**2 + o**2 + 2*o**4 + (0*o**2 - o**2 - o**2)*(-o - 3*o**2 + o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - -3) + -5)*-1. Let a = 61 + -46. Suppose q = -l*q + a. Solve -2*i + q = i + 4*w, 4*w = 2*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33.83933 millennia?\nAnswer: 3383.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 628853510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -0.08.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3854 divided by -6\nAnswer: -1927\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 2*k - 2. Let t = -2 - -26. Let w(p) = -27 - 6*p**3 + t + 3*p + 0*p. Give 3*d(r) - 2*w(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fokvfvkkkkkv. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 13*g + 20. Let z be y(9). Is z less than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 259, 3 in decreasing order.\nAnswer: 259, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2703409 or -2703408?\nAnswer: -2703408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2013\/1627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 + -5)\/(15\/(-75))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 50*k**3 - 165*k**2 + 220*k - 100 = 0. What is k?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.312 + -2.412. Let x be 4\/(-15) - (-1)\/(-3). Which is the nearest to h? (a) 2 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Solve -c*k - 3*b = 13, 3*k - b = -2*b - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -481 + 730?\nAnswer: 28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-5 + 2 + 4). Suppose 2*o + s*o = 4. Which is smaller: o or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -16. Let g be 144\/d + (-6)\/15. Solve -4*f - 2*y = -20, -y = 2*f + y - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 101*j**2 - 3289*j + 286. Determine c(73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 316282 = 5*t, 7*t + 3*r - 316261 = 2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63.5245262 and 3.\nAnswer: 190.5735786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 43. What is the common denominator of (18\/v + 4)*89 and (-6)\/9 + 206\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-7))\/(-2))\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 65)*(-2)\/10. Let m be (-2)\/d - (-92)\/22. What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208114 or 1?\nAnswer: -208114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 80*u**3 + 55*u - 55. Let x(z) = -3*z**3 - 2*z + 2. Suppose -g - 10 = -6*g. What is g*i(t) + 55*x(t)?\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 32447800?\nAnswer: -1\/16223900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19479010 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318246.\nAnswer: 2, 3, 29, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 10*p + 237. Let k(o) = o**2 + 7*o + 148. Determine -5*f(m) + 7*k(m).\nAnswer: 2*m**2 - m - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7 - 6*x + 3*x - 7*x - 3. Calculate the remainder when s(-5) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 4*u**2 + 0*u**2 + 846*u**3.\nAnswer: 846*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -15. Suppose i*h + 174 = 8*h. Let y = -34 + h. Calculate the remainder when 94 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 10*p + 5. Let u be n(9). Let z = -56 - -80. Calculate the remainder when z is divided by (-570)\/(-42) - u\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 102*g - 1180. Let r(s) = 44*s**2 - s. What is the remainder when r(2) is divided by w(12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*w - 21 = -2*s, 0 = s + 3*w + 19. Calculate the common denominator of 174\/15*2\/s and 1 + -1 - (-4)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5187 and 63.\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-84)\/9 + -4)\/(8\/(-12)). Let j(k) = k**3 - 20*k**2 - 4*k + 80. Let z be j(l). Put -1.1, -4, z, 1\/4 in increasing order.\nAnswer: -4, -1.1, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/4, 0.2 in descending order.\nAnswer: 0.2, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119275.0925 * -5.\nAnswer: 596375.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11588652*a*u + 72*a + 38579 wrt u?\nAnswer: 11588652*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12)**32 assuming g is positive.\nAnswer: g**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c41a (base 16) to base 14.\nAnswer: -9b9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2480, -4951, -7422, -9899, -12388, -14895, -17426, -19987?\nAnswer: -22584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a - 4. Let q be 13\/3 - a\/3. Sort 3, q, -1 in increasing order.\nAnswer: -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-3)\/(-3) + -5. Suppose h*l + 75 + 19 = 5*y, 0 = -4*y - 4*l + 92. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 2*k. Let w = -4 + k. What is the third derivative of -w*y**5 + 1 - 2*y**2 - 1 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqhhkh. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5628120 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(3\/2)*f))**23*((f*f**(-2\/55))\/f)\/((f*f**(-1\/5))\/f) assuming f is positive.\nAnswer: f**(-3777\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by -9.\nAnswer: 196\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.51, 26, 6?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1. Let a(b) = 4*b + 6. Let s(y) = -6*a(y) - 30*w(y). Let f be s(-4). Let n be (f\/75)\/((-1)\/(-10)). What is the greatest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 70 = 5*b, 0 = 2*b + r - 6*r. Calculate the remainder when 39 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -100222010111?\nAnswer: -100222010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 227147474.42 from 0.6.\nAnswer: -227147473.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*w - 1 = 4, 3*h - w = 1. Let a be (-48)\/10 - h\/5. Let p(u) = -u**2 - 4*u + 2. What is p(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188500286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 107. Let p be (1*260)\/(49\/1421*29). What is the highest common divisor of y and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10315 + 13608. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (3\/15 - 1)*5. Suppose 0 = r*c - 4*c - 3*a - 45, 2*c = 3*a + 27. What is the second derivative of 49*i - c*i**5 + i**5 - 72*i wrt i?\nAnswer: -340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d**(4\/3)*d**(-1)\/d**(-6))\/((d**2)**49*(d*d*d*d**(-1\/4)*d*d*d)**(-2\/3)) assuming d is positive.\nAnswer: d**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*o = 7, -4*o - 8 = -0*o. Let p = y + 3. Suppose -p*s + 2*l = -30, -s = -3*l + 6 - 21. Calculate the remainder when 57 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -985, -952, -903, -832, -733?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*k**4 + 19 - 19 + (0*k**2 - k**2 + 0*k**2)*(-2*k**2 + 5*k**2 - 2*k**2).\nAnswer: -34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 53*p - 29. Let j(f) = 49*f - 28. Calculate -7*j(i) + 6*s(i).\nAnswer: -25*i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 19 = -7. Let c = a + 12. What is the tens digit of (102\/9)\/(c\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -314 (b) -1\/2 (c) -43 (d) -6 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 2. Let o be j(3). Suppose -o = l - 2*l. Suppose 2*h - 30 = -l*u, -4*h = h + u - 111. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - q = -4, 2*l + 2*q + 16 = -q. Let a be (3\/1)\/(9\/(-12)*l). Suppose 0 = 2*f + 5*x - 58, a*x + 1 = 5. Calculate the remainder when 47 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**8\/((t*t**(-6\/5))\/((t\/t**3*t)\/t)))**(-27) assuming t is positive.\nAnswer: t**(-837\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/63 - (-14)\/(-222). What is the second biggest value in 0.5, p, 2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4 - 4, 5*y = 5*p + 15. Let a be ((-2)\/8)\/(p\/(-1252) - 0). Suppose -5*z + 3*l = -1005 + a, -2*z - 3*l = -260. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000060406 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r)*(2*r + 3*r - 4*r)*(-123 + 123 - 19*r).\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - -163. Suppose -c + 324 = v. What is the greatest common divisor of c and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12*-5*-6. Solve -p + 7 = -3*s, -3*p + 4*s = -x*p - 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*o + 17 - 74, v - o = 49. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-4 - (-57)\/3). Let b(q) = q + 21. Let w be b(u). Let v be (-2)\/(-6)*(w + -6). Solve -4*a - 4 = -v*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -2\/9 (c) -1\/1305 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137088 and 210?\nAnswer: 685440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**2*w**3*x**2 + 11032*s**2*w**3 + 2*s**2*x - s*w**2*x**2 + s*w*x**2 - 2*s + 2*w**3*x**2 + 11*w**3 wrt s.\nAnswer: 2*w**3*x**2 + 22064*w**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-516))\/(117\/(-52)). Which is the nearest to 0.2? (a) 5 (b) -3\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 92852?\nAnswer: -92856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2322746 divided by -5.\nAnswer: 2322746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597195478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1334676 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose -4*p + 5*p + 4*l = 9, 5*p = -y*l + 60. What is the highest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10513, -10502, -10477, -10432, -10361?\nAnswer: -10258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-280))\/((-63)\/(-147))*14\/(-12).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144492 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2333000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1643681.00704 - -1644075. Let y = o - 394. What is y rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 1285\/561 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2324421 (base 5) to base 15.\nAnswer: c8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 13 + (-29 + 45 - 98).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 386768019 in ascending order.\nAnswer: -2, 5, 386768019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11100000010010100?\nAnswer: 11100000010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319.83 + -320. Sort m, 1\/3, -6 in descending order.\nAnswer: 1\/3, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50523 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -2. Suppose -448*g + 150 = 613*g - 911*g. What is the third biggest value in g, -26, a?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 206 = -k, -2*z = k - 24 - 115. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 c, and 1 j when four letters picked without replacement from htxhlxcjc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -702906?\nAnswer: 702906.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1720*j**5*q**2 - 76*j*q**2 + 15*j + q wrt j.\nAnswer: -34400*j**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/661 + 28405\/3966. What is the common denominator of d and 133\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**2 - 1. Let i = 26 + -27. Give z(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 7*l**4\/24 + 1078*l**2. Let y(d) = 5*d**2 + 9*d. Determine y(o(x)).\nAnswer: 245*x**2 + 63*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -502982 times 0.47\nAnswer: -236401.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2076 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.35514 litres to millilitres.\nAnswer: 60355.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -649*0.65699\nAnswer: -426.38651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 9, l: 1, k: 1}. What is prob of picking 1 u and 1 k?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-14)\/(-4)*48\/140.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 5*g**3 + 0*g**3)*(63*g + 121*g + 216*g + (3 - 2 + 0)*(-4*g + 0*g + 2*g)) + (5*g**4 - 3*g**4 - 3*g**4)*(0 + 0 - 1) - g**4 - 5*g**4 + 2*g**4.\nAnswer: 395*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = k + 74268, -5*s - 37*k + 185676 = -38*k. List the prime factors of s.\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 467 = 1391. List the prime factors of m.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 6. Let r(v) = -v - 6*v**2 + 2*v**3 + 6*v**2 - 2 + p*v**2. Suppose 8 = -3*o - o. Calculate r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6565 smaller than -111600\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*o**2 - 26*o**2 - 17*o**2 + 2*o**3 - o to the form z + i*o**2 + l*o**3 + y*o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3\/8*d**3 + 24 + 30*d + 51\/8*d**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -149. Find the second derivative of -22 - 207*n + f*n**4 - 204*n + 410*n wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f + 5. Let y(a) = 13*a - 9. Let j(h) = -11*i(h) - 6*y(h). Calculate j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 11*b**3\/3 + 1. Let q(y) be the second derivative of -y**3\/2 + y - 1412. What is q(f(i))?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 0*g**2 - 17*g**2 + (-4*g**2 + 0*g**2 + 2*g**2)*(0 - 1 + 2) + (-5*g + 1 - 3 + 3*g)*(4*g - 3*g - 2*g) in the form s + l*g**2 + r*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123319329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 100519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10234351 is divided by 10234334.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ef - 1?\nAnswer: -1f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.3 - -0.3. Let s be (-140 - -146) + (-12)\/2. Is s greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/22)*x\/(x**10\/x) assuming x is positive.\nAnswer: x**(-175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003254 (base 8) in base 3?\nAnswer: 1222100201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7072.249442 rounded to one decimal place?\nAnswer: 7072.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 21*p - 2. Let s(k) = 2*k. What is 5*s(c) + y(c)?\nAnswer: 2*c**2 - 11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1418328 nanometers in kilometers?\nAnswer: 0.0000000000001418328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 701\/4 + -699\/4. Let n(k) be the second derivative of 0 - 11*k - i*k**2. Let f(y) = -y + 3. Determine f(u) + 2*n(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*w + 65*r - 61*r, -3*r = -w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 6*z**2 - 2*z**2)*(1 + 1 - 4).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4 + 8. Suppose -3 = 3*i, 0 = w*s + 4*i - 8. Suppose s - 3 = u. Solve 7*m - 3*m - 20 = 5*d, u*d = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 44 = -62*k + 57*k, 5*k = -3*w + 48 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*x - 40, -2*x - 5 - 8 = -n. Suppose -l = -n*l + 12. Find t, given that -l - 5*t**2 + 7*t + t**3 + 0*t**2 + 0*t**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 620237 and 71423.0934.\nAnswer: 691660.0934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-336)*(-18)\/(-15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + 6*w - 6. Let a(n) = -19*n**2 - 13*n + 13. Suppose 5*k = 5*u - 55, 0 = 2*u - 5*k + k - 26. Let j = u - 3. Calculate j*a(d) + 13*h(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*k, z + 2*k = 7*k + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + (22 - 8 - 5). Let b(h) = h**3 - 6*h**2 + 5*h + 5. Let t be b(5). Sort t, -3, -1, k in decreasing order.\nAnswer: t, k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c + 1. Let f = -14865 + 14864. Let t(k) = -80*k**2 - 16*k + 16. Calculate f*t(j) + 16*z(j).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 28*j - 14*j - 134*j - 9*j - 26*j.\nAnswer: -165*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-673)\/(-565) + 39648\/(-33040)\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2088)\/(-216)*(-24)\/(-536) and -38\/5829.\nAnswer: 5829","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 236 + -168. Let w = m - 71. Which is the biggest value? (a) w (b) 1 (c) 1\/2 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 241*r - 247. Let l be m(40). What is l rounded to the nearest 100?\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + (-1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/27 + (-19)\/3. Let g = 15 + t. Suppose 7*i + 13 = g*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339459 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - -0.8. Sort x, -3, 2 in increasing order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*j - 17*j + 14*j - 25 - 28*j wrt j?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m - 4. Let q be l(4). Let i be (-1)\/2 + 1\/2. Suppose i = -t + q. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(-4)\/(-4) - (-19 - (-9 + -2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: -5465*-5\nAnswer: 27325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 11. Calculate the remainder when 60 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*n**6 + n**5 + 5*n**3 + 13537*n**2?\nAnswer: -16320*n**3 + 60*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 12*l**2 - 41*l + 261. Give o(9).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -124274, -124360, -124446, -124532?\n\"Answer: -86*h - 124188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2581 and -85\/712.\nAnswer: 20648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 464? (a) 1\/4 (b) 0.3 (c) 6.8 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234 take away -12.859?\nAnswer: -1221.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 41*q + 169. Is g(26) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71053.48 years to decades.\nAnswer: 7105.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:56 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {q: 3, c: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -34.2, -1\/5, 3.4, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**5 + 3*q**4 + 3051*q**3 - 1364*q**2 - 15*q wrt q.\nAnswer: -180*q**2 + 72*q + 18306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.75 - 0.35. Which is the smallest value? (a) -25 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6105 divided by 13.\nAnswer: -6105\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008396 to 4 decimal places.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165196 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from nnrrnrnnnnnn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -10 + -32 + (-13 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -9 + 2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 7*p + 5*p. Let v(m) = 11*m - 5. Let o(w) = 13*w - 6. Let j(t) = 5*o(t) - 6*v(t). Give l(j(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2*j + 2. Let h(z) = 4*z**2 + 9*z - 9. Let w(y) = -2*h(y) - 9*p(y). Let c(q) = -2*q**2. Determine w(c(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14938)\/8148 + (-1)\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986\/2649 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*c - 22, -5*o + 5*c + 29 + 1 = 0. Let g(t) = 1 + 137*t**o - 1 - 140*t**2. Let u(d) = 6*d. Give u(g(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 7. Let m be d(-5). Suppose o + m*o = 12. Factor -4*u**3 - 4*u**o + 59 - u**5 - 59.\nAnswer: -u**3*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1244.5 and -2?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10053500 - -301?\nAnswer: 10054201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*t**3\/7 - 3633870*t**2\/7 - 2276103357*t\/7 - 354142956816\/7 = 0 for t.\nAnswer: -1551\/5, 49072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*s - 22, -5*k + 9 = -3*k - s. Suppose y + k = 19. Suppose 30 = n - 5*x, 0*n + n - y = -x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29)\/(-9) - (-4)\/(-18). Let l = -5 - -7. Suppose -g**3 + 3*g**s - 3*g**3 - g**l = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 22*u - 94. Determine v(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1200 = -104*m - 136*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (73 - ((2 - 4) + 12)) + -11\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -h - t + 245, -4*h + 1565 = -t. What are the prime factors of (-6)\/4*h\/(-9)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13592679, -27185370, -40778061, -54370752, -67963443?\nAnswer: -81556134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 + 0*p**2 - 3*p**2 + (0 + 6 + 0)*(5*p + 3*p - 3*p)*(-8*p + 16*p - 30*p).\nAnswer: -658*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 18 = 3*k, 7 = 3*v - 2. Let p be ((-16)\/(-6))\/(3 + 382\/(-126)). Let n = 94 + p. Calculate the greatest common factor of n and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r + 5. Let v be f(5). Suppose 0 = j - v*d - 6, 0*d + 2*d = 4. What is the greatest common divisor of 64 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262 + 5*j + 7*j + 0*j + 11*j.\nAnswer: 23*j + 1262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -135368, -270948, -406528, -542108, -677688, -813268?\n\"Answer: -135580*f + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158440515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2))**29*(a\/(a**(-1)\/a))**(-1\/4) assuming a is positive.\nAnswer: a**(-293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 320043077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2. Let p(r) = -214*r - 1. Give p(u(l)).\nAnswer: 856*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -32 and -32 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x + 175. Determine l(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (734*p**4 - 1701*p + 1701*p)*(-3*p - p + p).\nAnswer: -2202*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 10. Let u be o(8). Let b = -20 + u. Let s(c) = 9*c**2 + c - 7. Let h(l) = 40 - 17 - l + 0*l**2 - 17 - 8*l**2. Determine b*s(v) - 7*h(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 6661482?\nAnswer: 53291856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.47? (a) 1\/9 (b) -690 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 910 + 266 = 0. Suppose k - y = 2*c - 3*c, -5*k + 10 = 0. Let f = 249 - c. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/5 + -3)\/(152\/(-20) - -8). Solve -5*j = -3*t - x, 0 = -6*t + 5*t + 5*j - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3237 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*r + 3*r = 15, 3*r = -m + 20. Factor g - 2 - 9*g**4 + 0*g**3 + 8*g**4 - m*g**3 + 4*g**3 + 3*g**2.\nAnswer: -(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3768 = 2*f - 13580. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) -386 (c) 37\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 487 * -6951.\nAnswer: -3385137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11549\/17310 - 3\/5770. Which is the fifth biggest value? (a) -1 (b) 2\/5 (c) 0 (d) 11 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 940 divide 14864220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**2 + 192873*w - 64290.\nAnswer: -3*(w - 21430)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42400530*i + 61382456 wrt i.\nAnswer: 42400530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8159 - 8158.9. What is the fifth biggest value in -2, -1, 0.4, 3\/5, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/2 - 44*x**3 - 129*x**2 - 128*x + 586. Factor f(t).\nAnswer: -2*(t + 1)**2*(t + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 14. Let p be (-27)\/(-15)*(24\/4 - 1). Give c(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 22. Suppose 0 = -4*q + v + 13, q = -v - 0*v + p. Let f be 2\/8 + 11\/q. Solve 4*j - 4*s + f*s = 9, j = -4*s - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121919.\nAnswer: 7, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98 times 0.8?\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 + 3*a - 2*a - 12. Suppose 6*z - 112 = -2*z. Suppose -q = -4*m - z - 4, -5*m = 15. Determine b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 9*d = 7. Let g be (-128)\/32 + (-16)\/(-6) + d. What is the third smallest value in 5, -2\/13, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5\/5 + 577*i**4\/5 + 28*i**3 - 577*i**2\/5 - 144*i\/5 = 0. Calculate i.\nAnswer: -144, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33221*t**3 - 22*t + 29579380 wrt t?\nAnswer: 99663*t**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 425638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 23*y - 23*y)*(-170 + 65 - 49)*(-y**2 + y**2 + y**2).\nAnswer: -462*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8033 - 8024. Solve -p*r + a = -12*r - 5, -3*a - 15 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9*v**3\/2 + 5109*v**2\/2 + 4248*v + 1698 = 0.\nAnswer: -566, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, 0.355646 in decreasing order.\nAnswer: 0.355646, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 30014783\nAnswer: 15007391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -11, 2\/17, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**3\/2 - 7*n**2\/2 - 2*n. Let z be i(6). Let f = -7 + z. Solve f*k + b = 6*b + 10, -3*b = k - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24794)\/644*(-2)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (188\/(16\/4))\/1. Suppose -2*q - 15 = 4*d - y, 17 = 2*q + d. Solve -4*s + 12 = 3*l, s + 5*l - 14 - q = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -8, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**5*h*h*h)*h*h*h**(-6))\/(h\/(h**(3\/5)\/h)*(h*(h*h**(-1))\/h*h*h*h)\/h) assuming h is positive.\nAnswer: h**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*d = 27, -v + 6*v = d - 15. Let r be v\/(-34) + 198\/51. Solve 0 = 2*m + 10, -3*l = 2*l + r*m + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-12))\/((-146)\/((-3616566)\/(-359))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331523271 divided by -110507757?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**2 - 23*j + 4. What are the prime factors of h(6)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - k + 3*k)*((3 + 2 - 7)*(1 + 3 - 2) - 4 - 11 + 6) - 4*k + 2*k + k as v*k + u and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 73 = -4*d. Let n = d + 32. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 99 - 2*b + 196 - 102. Determine q(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/61 in -4, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243 + 230.9. Let j = -15 - v. Let b = j + 2.8824. Round b to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9876451, 9876450, 9876449, 9876448, 9876447, 9876446?\n\"Answer: -b + 9876452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 160*t + 850. Let g be p(-5). Solve -5*w = -3*b + 10 + 6, 2*w + g = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 1, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7*f. Solve f = 4*k - 2*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 40 = -5*b - 26*n, 4*b - 2*n = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 140*u**2 + 2010*u + 3221. Calculate i(-124).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 39, 81, 139, 213, 303?\n\"Answer: 8*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 13}. What is prob of picking 1 l and 1 u?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95.5 + -95.2. What is the closest to -2\/7 in u, -4, 0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*w**3*z - 96*w**2 + 2*z wrt w?\nAnswer: 630*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/188 and 34\/235?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -103\/402415744.\nAnswer: 402415744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjili. What is prob of picking 2 i and 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -88744866?\nAnswer: 88744870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 109, 222, 335, 448, 561?\n\"Answer: 113*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05873926 rounded to three dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 230, 207, 194, 197, 222, 275?\n\"Answer: m**3 - m**2 - 27*m + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 4*g + 7. Let q be i(5). Let f = 113 + -67. Find the common denominator of 9\/(-12) + (-428)\/q and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 - 4*q + 6. Calculate the remainder when b(5) is divided by -4 - -1*(-3 - -10)*6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d\/((d\/d**(-2\/5))\/d))**(-23)*(d**(-1))**4\/(d\/((d*d**(-3))\/d)*d**(2\/3)) assuming d is positive.\nAnswer: d**(-1693\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8 - ((-6 - -2) + -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238279?\nAnswer: 19, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-19)*l\/l**(-9\/2))**(-9))**46 assuming l is positive.\nAnswer: l**5589","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 81*b + 74*b - 4 + 0 - 164*b + 2*b**2 + 52*b in the form s + f*b**3 + n*b**2 + u*b and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137*p**5 + 77*p**4 + 29193*p wrt p?\nAnswer: -2740*p**3 + 924*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -19*v - 4*h, 4*v + 43 - 67 = 4*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = -34. Suppose a + 1 = p. Let k be (-4)\/(77\/(-180) - (-8)\/20). Calculate the greatest common divisor of a and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 3795?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 272770, 4, -1, -96, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178 and 801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 25*b**2 - 26*b - 43. What is w(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 923953 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4 - ((-38)\/(-8) - 1). Let m(u) = -u + 3. Give m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 75, 97, 99, 75, 19?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*h - 21 = -2*h, -t + 20 = -5*h. Suppose 0 = -t*d - 10. Are d and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5756858 is divided by 1020.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2474 = -2*u - 10285, -2*f = 3*u - 5115. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388450553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -2)\/(5 - 2). Suppose l - 11 + 9 = 0. Let z = -26.9 + 25.9. What is the closest to -1 in l, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44407+-2\nAnswer: 44405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -35, -74, -137?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2194*x**2 + 304*x**2 - 216 + 1614*x**2 + 216 in the form t*x**2 + o + r*x and give t.\nAnswer: 4112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - (0 - -13) - (3 + 0 + -1). Which is the closest to 2\/5? (a) u (b) 2 (c) -2\/13 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -53*c - 1189. What are the prime factors of i(-48)?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -202\/3. Let o = 0.2 + -0.3. What is the nearest to -1 in -5, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 + 147102*v**3 + 1803102747*v**2 - 3607235268*v - 5410190916 = 0 for v.\nAnswer: -24518, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d**3 + 0*d**4 + 0 + 0*d - 1\/60*d**5 + 2*d**2. Let h(b) be the third derivative of -b**4\/12 - 15*b**2. Determine h(z(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 339372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*d - 2*c - 16, -5*d + 2*c = -11. Let a(i) be the second derivative of 3*i**3\/2 - i**2\/2 + 11*i. Calculate a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 20, 6 in decreasing order.\nAnswer: 20, 10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37 - (-10)\/15*-6. Suppose 2*u + x = k, 5*k + u - 95 = -3*u. Calculate the remainder when 66 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:55 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/13 (c) -0.0024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10476 and 951764.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -5\/36*q**4 - 1\/180*q**6 + 0*q**2 + 4 - 14*q + 11\/120*q**5 + 0*q**3. Factor j(s).\nAnswer: -s**2*(s - 10)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -129*g + 127*g - 63, 0 = -s - 5*g - 9 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033829?\nAnswer: 1033829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773a71 (base 11) in base 14?\nAnswer: 583a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*p + 26 + 4, -3*w = 5*p - 26. Let g(k) = k**3 - 4*k**2 - 9*k - 8. What is g(w)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.06*-3\nAnswer: -3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12002 - 22110100100001?\nAnswer: -22110100112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14149 - 9434. Suppose v = 5*p - 210. Suppose 2*i + 3*w = -323 + p, 0 = 4*i + 4*w - 1332. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -143. Let f = 22 - 22.6. Is o >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 176, 269, 360, 449, 536, 621?\n\"Answer: -u**2 + 96*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2)*((-92)\/12 + 8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**5 - b**4 - b**3 - b**2 - b. Let z(x) = 8*x**5 - 10*x**4 - 8*x**3 - 10*x**2 - 10*x. Let d(g) = -20*p(g) + 2*z(g). Factor d(k).\nAnswer: -4*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/9, 37, 5, -2.4, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -861*x**2 + 492*x**2 - 1048*x**2 - 179*x**2 - 739*x**2. Let k(f) = 3*f**2. Determine k(v(s)).\nAnswer: 16356675*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818 = 86*q + 991 + 220 + 153 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g + 5*a, -5*a - 33 = -4*g - 4*a. Suppose 5*u - 13 = g. Put -4, 5, 8, u in descending order.\nAnswer: 8, 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*g + 366421 = -558747. Is g equal to -4364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83125, -83590, -84029, -84430, -84781, -85070?\nAnswer: -85285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*1*-3)\/(-5*sqrt(150)\/sqrt(3)).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 - 13*x**3 + 21*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + 2*sqrt(112) + -2))**2*6.\nAnswer: 43008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*f + 3872, 0*f + f - 1298 = 5*t. Suppose -2*b - 3*b + h = -f, 0 = 5*b - 2*h - 1291. Is b a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*t + 261 = t, 0 = -5*l - 5*t + 345. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209.49 - -212.49. Which is the nearest to 1\/7? (a) -0.43 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.912 nanoseconds to seconds.\nAnswer: 0.000000484912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5167 + -1.2833. Is z != -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 201828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227 + -0.100465322.\nAnswer: 226.899534678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**(2\/13)*(d**2)**31)**(-26))**(-17\/6) assuming d is positive.\nAnswer: d**(13702\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*r, -5*r + h = 4 + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -791.4906.\nAnswer: -4748.9436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 + 763419*f\/8 + 16988053\/2.\nAnswer: -(f - 763508)*(f + 89)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.59155 months in millennia?\nAnswer: 0.0074659625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - d - 7. Let w be ((-6)\/5)\/(7\/35). Calculate m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -10642063.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*a - 2*j, 1 = 2*a + j - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 244? (a) -1\/4 (b) 0 (c) 3\/2 (d) -18 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 107\/7 - (-4)\/(-14). Let y = s + -11. Find a, given that -y*a**2 + a + 2 - 4*a - 1 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.86478 - -0.06478. Which is the second biggest value? (a) u (b) -3 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 + 2 + 2 - 4 - 14*y. Let q(m) = -m + 1. Let g(v) = -i(v) + 6*q(v). What is the derivative of g(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*h**3*q - 6*h**3 + 3*h**2 + 11*h*q - 124*h + 130*q - 81 wrt q.\nAnswer: 16*h**3 + 11*h + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19\/6, 9, -2, -4\/3, -2\/7, 0.07?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 + 137*x**2\/3 - 1850*x\/3.\nAnswer: -x*(x - 50)*(2*x - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (205 + -168 - (36 - 0)) + (31 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3420836 millennia?\nAnswer: 4105.0032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 3258*r**2 - 16248*r - 12992 = 0.\nAnswer: -1624, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3618)\/(-21))\/((-18)\/(-84)). Suppose 2*i = 3*d - j, -3*d = d - i - 1077. Let c = -160 + d. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*((-3*k + k + 0*k)*(0*k**3 - k**3 - k**3) + (-k**3 - k**3 + 0*k**3)*(6*k - 4*k - 3*k) + 2*k**4 + k**4 - k**4).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93672 and 2748?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/77 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50955, -50559, -50163, -49767, -49371, -48975?\nAnswer: -48579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-3)\/6)\/(-27*(-95)\/2052).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100211175 divided by 33403725.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 21 - ((-10 - -4) + -1) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a + 3. Let n be (3\/(-2))\/(7\/(-14)). Suppose -n*u + 2*s = -2, 3*s + 2 + 1 = -5*u. What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(1\/18). Let n(z) = 5*z + 1. Let a be n(i). Suppose 0 = 2*k + 2*k + g - 131, 2*k + 5*g = a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3 - 3. What is the third smallest value in z, 0.2, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 95.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -546 divided by -13\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 673293 and 8659941.\nAnswer: 251138289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-635)\/10*(-12)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -x. Let a = 3.7 - 4. What is the closest to 1 in a, 2\/15, x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44\/105 + -1\/105. Let k = 80 - 48. Let j be 38\/(-9) - k\/(-144). Sort -1\/2, j, -0.1, q in decreasing order.\nAnswer: -0.1, q, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496)*1*3)\/((sqrt(108) + -3*sqrt(108))*-3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5145365 + -1?\nAnswer: -5145366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**4\/4 - 2*p**3\/3 + p**2\/2 - 3*p + 32. Let z(a) = -4*a**3 + 2*a**2 + 2. Calculate -2*s(k) - 3*z(k).\nAnswer: 2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0 - 2*g**2 + 0*g**3 + 0*g**4 - 1\/60*g**5 + 0*g. Let i(n) = -5*n. Determine i(m(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 19*b - 4. What is the tens digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -1.6, 2\/3, 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5)\/((-15)\/200). Suppose 0 = 2*k + t + 38. Let s = -463\/12 - k. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7224*h + 378. Let a(r) = 289*r - 15. What is -126*a(z) - 5*q(z)?\nAnswer: -294*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**28 assuming f is positive.\nAnswer: f**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(55\/110).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432130 (base 5) to base 8.\nAnswer: -131533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let o(g) = g**2 - 8*g - 7. Let a be (-37)\/(-4) + 1\/(-4). Calculate the remainder when u is divided by o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4482, -17867, -40156, -71349, -111446, -160447, -218352?\n\"Answer: -4452*r**2 - 29*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/4, 8, -0.19, 5 in descending order.\nAnswer: 8, 5, 3, -0.19, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (-1 + sqrt(320))**2) + 0 - (-2*(sqrt(320) + 1) - sqrt(320) - sqrt(320))**2) + (-1*(sqrt(320) + 1 + sqrt(320)) - (sqrt(320)*-1 + 4))**2.\nAnswer: -5100 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -122221122 (base 3) to base 9\nAnswer: -18848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76275 + -4?\nAnswer: -76279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/(-24) + 3 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let t(l) = -l. Let g(r) = -2*r**2 + 4*r - 8. Give g(v) - 5*t(v).\nAnswer: -2*v**2 + 9*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:11 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 20*d + 20. What are the prime factors of l(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 0)**2*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 + (-13659)\/135. Let q = 521\/5 + s. Let n = -9389\/1070 + 8\/107. Calculate the common denominator of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0072? (a) 2 (b) -3 (c) -5 (d) 0.4 (e) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c1 + -7?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 22 = -y, 4*h - 77*y + 1 - 6 = -76*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2956 divided by -7.\nAnswer: -2956\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2634)\/72*-4*-3. Let y = k + 450. Solve y*w = 9*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 + 0.02. What is the closest to 1 in z, -3, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*2)\/((-280)\/35). Let r = 0 - -0.3. What is the closest to -1\/2 in r, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by -29?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - ((-507)\/494 + 7). Which is the second biggest value? (a) g (b) 0.06 (c) 0.5 (d) 2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25131522 + 25131522 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 10*q**2 - 10*q + 9. Let z be d(9). Suppose -x - n + 53 = z, 5*n - 36 = -11. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-4*f**2 - 3*f**2 + 4*f**2) + 5 - 6 + 4*f**2 - 2*f**2.\nAnswer: 5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3857312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)\/(g\/g**(1\/5)*g)*g**(-2)*g\/g**(-2\/7) assuming g is positive.\nAnswer: g**(-493\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, 14, 51, 102, 167, 246, 339?\n\"Answer: 7*i**2 + 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 145, 168, 189, 202, 201?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n**2 - n**2. Let g(w) be the third derivative of 13*w**5\/60 + w**2 + 383*w. Determine g(m(s)).\nAnswer: 208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 5*k - k**2 - 6 + 0*k**2 in the form n*k**2 + h*k + o and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (310\/(-15) - 3)*460986 + 2. Round l to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 44 = -x - 43, -52*x = -51*x + 2*b + 5 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:12 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/120 + z**4\/8 + 5*z**3\/6 + 2*z**2 - 69*z. What is n(-4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -38*s**2 + 2*s - 4. Let x(a) = a**2 - 1. Determine j(m) - 5*x(m).\nAnswer: -43*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-3))\/(7*(-11)\/(-385)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8 + -1 - 4\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y + 2*y**2 - 6*y**2. Let b be u(-1). Let g = -3 - b. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 52*f + 4. Let k be d(10). Is -7 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**3 + 602*k**2 + 1643*k + 589. What is c(103)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885700170?\nAnswer: 2, 3, 5, 17, 131, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2077921587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(125) + 1 + -5 - (sqrt(125)*2*-6 + 2))*1.\nAnswer: -260*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 5936 = -462. Solve 16 + y = -45*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216713994 a multiple of 3162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-1*1 + 4)\/((-83)\/(-332))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 + -169.98. Let b = g - 0.02. Sort 3, b, -5 in descending order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kis when three letters picked without replacement from {s: 7, k: 2, i: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 2*d - 1. Let m be b(-2). Solve -m*k + 5*k = 0, -4*a + 5*k = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3164, -8, -0.33, -13, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 - 325. Which is the nearest to 1? (a) 0.1 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (2*sqrt(7) + -3)) + -3 - 6*((sqrt(7) - (sqrt(7) + 0)**2) + 1).\nAnswer: -7*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/600*15*(-208)\/(-78).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9039836?\nAnswer: 2, 13, 263, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, r: 2, v: 4}. What is prob of picking 1 g and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 130. Let y = -45 - -55. What is the remainder when z is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:30 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 60, 121, 218, 357, 544, 785?\n\"Answer: j**3 + 9*j**2 - 3*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(81)\/(-2*sqrt(363) + sqrt(363)) + (0 + sqrt(432))*-2 + 2*sqrt(432)*2 + 3.\nAnswer: 3 + 255*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 0. Let s = -63 + 143. Suppose -14*c - s = -18*c. What is the least common multiple of c and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 - m + 3. Let v be f(3). Let x be 1 - (4 + -3 - -119). Let n = x + v. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 46*s**2 + 11*s - 685. What is the tens digit of g(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*q - 5*q + 17*q)*(-4*q + 4*q - 4*q + (1 + 1 - 6)*(2009 - 2009 - 42*q)*(-2 + 4 + 2)) to the form y + i*q**2 + k*q and give i.\nAnswer: 14696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1475305 (base 9) to base 2.\nAnswer: -11000111100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from siiiixsiissiiiiisi.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.13 * -3.67\nAnswer: -4.1471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -90?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**3 - 4*r**2 + 7*r. Let n(j) be the first derivative of -5*j**4\/4 - 2*j**3\/3 + 2*j**2 - 120. Calculate 3*m(i) - 5*n(i).\nAnswer: -2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.09, 5, -9\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 700843066447.0100047 - 700843142504. Let w = 76056.17 + x. Let c = w - -0.82. What is c rounded to seven decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-6))\/1 - 25. Let g be (24\/(-20) - -4) + (-5)\/n. Solve 3*i + 12 = g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from bbbrwbbtttrtuwwtwbtt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 65*m**3\/3 - m**2\/2 + 17*m + 12. Find the second derivative of q(r) wrt r.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 47 in descending order.\nAnswer: 47, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 4*h)*(-h**2 + 5*h - 5*h) - h**3 + 2*h**3 + 0*h**3 + 2*h**3 - 2*h**3 - h**3)*((-2 - 2 + 2)*(11*h**2 - h + h) - 10*h**2 + 0*h**2 + h**2).\nAnswer: 124*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*j + 33. Sort j, -1, -66 in descending order.\nAnswer: -1, j, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -302 - -256. Let k(i) = -4*i - 7. Let q be k(6). Let p = q - b. Solve -3*g + p - 3 = -3*h, -5*h - 4 = -g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(8\/6) - (-27755)\/28. Let k = -645 + m. What are the prime factors of k?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330116 is divided by 1022?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (809\/2)\/((-2)\/4). Let r = t - -1179. Is 41 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5061604 divided by 164.\nAnswer: -1265401\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 4. Let i(q) = -3*q - 11. Let h(x) = -7*g(x) + 2*i(x). Let r be h(-6). Factor 0*s + 0*s**2 + r - 3\/4*s**3 - 3\/4*s**4.\nAnswer: -3*s**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 + -14 - 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2097*l + 2121*l - 559 - 113 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/(8\/(-20)). Let b be (6 - 10) + 5\/x. Let h = 2 - b. Solve -7 = 2*u - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5992633, -11985264, -17977895, -23970526, -29963157?\n\"Answer: -5992631*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 + 0*k**2 + 7\/4*k**4 + k**5 + k + 0*k**3. What is the third derivative of d(o) wrt o?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359 - 164. Let v = 197 - i. Solve 2*u + 4 + 1 = -c, -3*c - 3 = v*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 48 = h, 0*g - 5*g = 4*h - 192. Suppose 3*l = -0*l + 12. Solve -18 + h = -l*c - 5*u, -2*c = -2*u + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, 14, 3\/4, 2\/51?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/52687 and 9\/1786?\nAnswer: 105374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/21 - 2236*a\/21 - 219962\/21.\nAnswer: -2*(a + 109)*(a + 1009)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -66, -145, -254?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k*q*r**3 - 27*k*r**2 + 2*k*r - 39*q*r**3 - q*r - 213*r wrt r?\nAnswer: -18*k*q*r - 54*k - 234*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + 2*b**2 - 1. Let z(g) = -g - 2. Let d be z(0). Let r be (8\/(-12))\/(d\/3). What are the prime factors of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 13*m - 230 - 189. Suppose -4*z + 656 = 2*i, -i + 0*i + 5*z = -321. Calculate the remainder when i is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 569\/(-2) - 15\/10. Sort -6, c, 0.\nAnswer: c, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-3)*z*z*z)))\/z)**(2\/15)*(z**(-2\/17)\/z)**36 assuming z is positive.\nAnswer: z**(-684\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((55\/(-33))\/(5\/(-2))). Let r(l) = l - 19. Let m be r(21). Factor -3\/2*c**2 - 2*c**b + m + 2*c - 1\/2*c**4.\nAnswer: -(c - 1)*(c + 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:26 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(140) + sqrt(140)*2))\/sqrt(4))\/(sqrt(224)\/sqrt(2)*5).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7*((-152352)\/84)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -18*w - 630. Let n = w + 71. Let p(s) = -7*s**2. Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:46 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240395643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 5*s + 6. Suppose -4*h - s*o + 12080020 = 2*o, -5*o + 12080025 = 4*h. Round h to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-4)\/(-6)*15 - 264\/33). Is -0.03212 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 134 = -3*o + 2*h, -2*h + 172 = 4*o. Let d = 74 - o. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - 3) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 + 6 = 0. Solve b + 0*b - n = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4018172 and 0.2.\nAnswer: -803634.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - s - 1. Let o = 40 + -41. What is r(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o + 5. Let f(c) = -22 + 5*c**3 + 10 + 0*c**3 - 21*c - 4*c**3 + 8*c**2. Let i be f(-10). Is 7 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 38*h. Let r(m) be the first derivative of -3*m**3 - 95. What is r(i(v))?\nAnswer: -12996*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3 + 12*b**2 + 5*b - b**3 - 4*b**2 + b - 14. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 1. Let l be a(-1). Suppose g - 4*g - 45 = l. What is the units digit of ((-4)\/5)\/(6\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 12 = -4*n + 19, -n + 4*y - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*b + 129*b + 1 - 1.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2937348 and 95094.\nAnswer: 26436132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25.8 from 3.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15252?\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7642*o**3 - 4*o**2 - 4*o + 8. What are the prime factors of c(1)?\nAnswer: 2, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-174)\/4) - 162507\/(-551). What is the highest common divisor of h and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 + w**2 - 5*w + 5. Let m(z) = -4*z**3 + z**2 - 2*z + 2. Suppose -12 = -4*f - l, -5*f - 30*l + 6 = -31*l. What is f*u(i) - 5*m(i)?\nAnswer: 6*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4887 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*y - 175*y + 58*y as d + g*y and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3778749 rounded to four decimal places?\nAnswer: 1.3779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 55 = 2*h, 0 = -3*h + 5*k - 8*k + 78. Calculate the remainder when 199 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25541 is divided by 12623?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 2422*g**2 - 176890*g + 3138450.\nAnswer: 2*(g - 35)**2*(g + 1281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 216. Let y(a) = -2*a**2 + 18*a + 28. Let u be y(10). Calculate the greatest common factor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 17*i + 46. Let v be k(-14). Suppose -12 = -5*o + 3*o. Solve -z + o = -v*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2\/9 (c) -1453\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500661?\nAnswer: 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 1778 = 5396. Find the third derivative of 23*r**5 - m*r**2 - 1 + 33*r**5 - 26*r**2 - 12*r**5 + 40*r**5 wrt r.\nAnswer: 5040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 divided by -100?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 4*c + 2. Suppose -5*v - 4 - 6 = 0. Let r be w(v). Solve 3*z = -3*i - r, -i + 3*z = -3*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 925*h**5 - h**4 + 7*h**3 + 346726*h wrt h?\nAnswer: 18500*h**3 - 12*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - f**2 + f + 28. Give a(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404827 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 3. Let a be t(-2). Put 3, -1, a in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 + 127*c + 407. Does 5 divide b(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -4, 3\/2, 1799\/2 in decreasing order.\nAnswer: 1799\/2, 3, 3\/2, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - 10*m - 121. Let l(q) = 2*q**3 + 6*q + 61. Determine -3*j(t) - 5*l(t).\nAnswer: 2*t**3 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 5. Let y be h(-7). Let s = 166 - 158. Suppose 30 = -s*x + 206. What is the greatest common divisor of y and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -95*w - 1038. Let a be j(-11). Solve -2*f + i + a - 3 = 0, 0 = -5*f + i - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6 (b) -27 (c) 4\/3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 76\/69, 10, 4?\nAnswer: 76\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7491, 7495, 7501, 7509, 7519?\nAnswer: 7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1608 and 82008.\nAnswer: 82008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002112 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2)\/3 + 9\/(-12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28149, -28148, -28147, -28146, -28145?\n\"Answer: w - 28150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12814*b - 48. Let h(j) = 15023134*j + 56276. Determine -12*h(f) - 14069*u(f).\nAnswer: 2558*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -55*a**4 - 115825*a**3 - 60973915*a**2 + 5649345*a + 55440450 = 0.\nAnswer: -1053, -10\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13*6\/78*1\/3*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61276318 - 2*w + 3*w - 61276318 - w - 15*w**2.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047537 rounded to 3 dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91297440 by 11412180.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-4))\/(-5*(-38)\/(-95)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70549 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let a be k(4). Let d = a + 2. Calculate the greatest common divisor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (-2*(0 + sqrt(1377))*-3 + (-5 + 0 + sqrt(1377))*6)**2)*3.\nAnswer: -116640*sqrt(17) + 3585474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101110001001001100110011001?\nAnswer: -101110001001001100110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2458000 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5942*o**3 + 2007*o**3 + 1961*o**3 + 1969*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953146817.\nAnswer: 7, 136163831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 996733247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920694575.\nAnswer: 5, 31, 1187993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 + 27*l**2 - 69*l - 18*l**2 + 7*l**2 + 56*l**2 as g*l**2 + n*l + y and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - -18.6. Let m = 17 - j. Let p = -2.4 + 2. What is the third smallest value in m, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(19)*-3)**2 + 2 - (2 + (sqrt(19) - 3*sqrt(19)) - (sqrt(19) - (-3*sqrt(133))\/sqrt(7)))**2)*3 + -1.\nAnswer: 72*sqrt(19) + 30773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12310.8 + -12311. Which is smaller: -4549 or g?\nAnswer: -4549","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 9) to base 14.\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:46 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55523664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 185*p**2. Let h(l) be the third derivative of 13*l**5\/30 + l**2 - 334. What is h(s(n))?\nAnswer: 889850*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4276 - 3409. What is the smallest common multiple of s and 24?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 13*a + 34. Let k be i(11). Let v = 61 - k. Suppose -4*l + 5*z + 89 = 0, -3*l - 4*z = -29 - 61. Calculate the remainder when v is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071539441 rounded to five dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 4*y - 3. Let r be u(-2). Suppose 1361*i - 508 = 1248*i + 57. Sort r, 3, 17, i in increasing order.\nAnswer: r, 3, i, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*m**5 + 226*m**4 + 2*m**3 - 1157615*m**2.\nAnswer: 9600*m**2 + 5424*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5002750115.\nAnswer: 5, 11, 90959093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 31*n**2 - 3*n - 15. List the prime factors of p(14).\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667513 is divided by 22249.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w**2 - w. Let l be q(-1). Let y = l + 15. Let m(c) = -c**3 + 7*c**2 - 5*c - 1. Let o be m(y). Round o to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 7*r**4 - 7 - 24 - 2*r**3 - 2645*r + 2646*r in the form b*r + x*r**3 + w*r**4 + v + d*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(1 + (sqrt(1573) - 1*(-1*sqrt(1573) - sqrt(1573)))**2 + (-1 + sqrt(1573))**2 + 3 + 0).\nAnswer: -440*sqrt(13) + 314700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 4*x**3 + 40*x**2 - 43*x**2 - x**3 + 3*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4810, 9648, 14480, 19306, 24126, 28940, 33748?\nAnswer: 38550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 5\/12*w**4 - 5\/2*w**2 + 0*w**3 - w - 1\/20*w**5 + 0. Let b be c(5). Put -0.4, b, 3 in increasing order.\nAnswer: b, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - ((-7 - 3) + -2 + 12 - -7 - 1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 6*sqrt(832) + (3 + sqrt(13))*1 + (-1 + sqrt(208) + sqrt(208) + -1 + sqrt(208) + 4*(sqrt(208) + 1) + sqrt(208))**2.\nAnswer: 178*sqrt(13) + 13319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(23\/3))**(6\/5))**49 assuming k is positive.\nAnswer: k**(2254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 19\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 22*n**2\/5 - 372*n\/5 - 1224\/5.\nAnswer: (n - 34)*(n + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 136 = -284 - 251 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 147*c - 18994 = 51*c + 3650 for c.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + o = -31, 3*h + 2*o - 4*o = 27. Let i(q) = 2*q + 5. Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.13033 decades in months?\nAnswer: 8535.6396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 0.2 (c) 8686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.605062, 2 in decreasing order.\nAnswer: 2, -0.605062, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*c - 2*w, -18*w + 15 = -2*c - 13*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 greater than 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 2344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) 15 (c) 1\/42 (d) 0 (e) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33366, 33364, 33362, 33360, 33358?\n\"Answer: -2*u + 33368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235137249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*h - 23772 = -96372 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*s**2*t**2 - 4000*b**2*s*t**2 + b**2*t**2 + 2*b*s*t**2 + 252*s**2*t + 10*s**2 wrt s?\nAnswer: -4*b**2*t**2 + 504*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17824 - -16868. What is the nearest to h in 2\/15, 4, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpkz when four letters picked without replacement from {k: 6, z: 11, p: 2}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 2*s - 8. Suppose -3*z - 6 = 36. Let a = z - -6. Is p(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3 - 3)*(-m**2 + 4*m**2 - 2*m**2)*(-5 + 0 - 2)*(3*m + 2*m - 3*m).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119*(-29)\/(-812)*1\/((-1)\/4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128, -47, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(2) - (sqrt(128) + 1 - sqrt(2))) + -3 + 0 + 5)**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 32*s - 48 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -720 + 721.174. What is i rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) -19 (c) -6 (d) -4.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213.76 - -22.66. Let q = 171 + f. What is q rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5.745565ml to litres.\nAnswer: 0.005745565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -113516130 and -113516131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1609903\/40 - -40250. Find the common denominator of m and 43\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 3*x + 12. Let b(t) = -14*t - 2. Let l be b(3). Let y be 3\/5 - l\/10. Let q be v(y). Solve 5*j = -q*g + 4*g + 4, 0 = -3*g - 5*j - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/44 and 115\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283519541*i + 1 + 283519549*i + 1.\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16216 - 33194 = -64*s - 9602. Solve -6*k = s - 604 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 134*b - 393. Calculate y(55).\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n + 7. Let z be r(-5). Suppose -4*k + m = k - 2, -z*m = 5*k + 4. Sort 3, -4, k in increasing order.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7032, 5, 2 in decreasing order.\nAnswer: 5, 2, -7032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/t**3)\/t*t)**(35\/2))**(-42) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (15 - 5 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/3 - 8\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10237 + 10094.39. Let q = -142 - j. Let t = q - 0.91. Which is the third smallest value? (a) -5 (b) 2 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999.401 meters in nanometers?\nAnswer: 4999401000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rax when three letters picked without replacement from arrrxrrrxsrrr?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 7 = -g - 3*w, 13 = 3*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 59*k + 659. Let t be s(-44). What is the second biggest value in 2, t, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4 and (2 + (-21)\/6)\/(21\/47).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4211451478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-172)\/8)\/((-5)\/(-10)). Let q = 66 + c. Calculate the remainder when 68 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*q + 122*q - 4*q**2 + 128*q.\nAnswer: -4*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2)*(-7025 - z + 13762 - 7244) to f*z + m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**1)\/p)**(-7)*p\/((p*p**(-4\/5))\/p)*p*p*p**(3\/8)\/p)\/((p**1)**(5\/8))**(2\/45) assuming p is positive.\nAnswer: p**(3653\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*f = -68, 4 = -4*f - 16. What is the remainder when 105*1 + 3 - (7 - 8) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/4*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/961 - -119\/577561. Let o = -21047\/3606 + a. Find the common denominator of 2\/231 and o.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -749\/4, -0.1, 0.4, 3\/7.\nAnswer: -749\/4, -0.1, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -11326?\nAnswer: 11324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from bzzezmezb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1889, -4264, -6639?\n\"Answer: -2375*z + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:16 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -50, -2, -5 in ascending order.\nAnswer: -50, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (2 - 1) - (7 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 10*a**2 + 9. What is the remainder when ((-2)\/(-4))\/(6\/288) is divided by j(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38139767 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -g - 4, -3*g - 1 = 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f - 2*f - 7 + f**2 + 1 + 0*f**2. Let o be k(5). Solve -5 = 4*h - o*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -22*i + 2176. What is the highest common divisor of 442 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370 by -185.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.23 - -0.03. Let o = -2 + 7\/3. Sort c, o, -5 in decreasing order.\nAnswer: o, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/125*5\/(6\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2901 + 69\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.19. What is the third biggest value in 0.5, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*k + 3 - 7, -17 = 2*k - 3*r. Let l(u) = -u**3 - u**2 + 3*u - 2. Let z be l(k). Let x = 49 - z. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.99896 - -4. Round n to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5219 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -36\/5 (c) 0.3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 123085*t**2 + 787387400*t - 364215386820 = 0. What is t?\nAnswer: 501, 12058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -100.25, 3\/8, 4, -0.2, -240?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 + p**2 + 8*p - 8. Let g be (-1)\/1*(-2 - 5). Let b(o) = -7*o**3 + o**2 + 7*o - 7. Let y(a) = g*b(a) - 6*u(a). Solve y(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g. Let x be w(-1). Let j = x + -19. Calculate the common denominator of (52\/8)\/(2\/j) and 83\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 - 0 - (-54 - -36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 5:43 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509.01 - -3.99. Let l = 510 - q. Let r = 0 + 0.1. Which is the closest to -2\/3? (a) -4 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5370 - 5365 + 3*s + 10735.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 275?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 2*x**2 - x - 1. Suppose -o - 11 = 4*z, 3*z + 4 + 2 = 0. Let k be (-2 - -2)\/(o - -2). Suppose k = -0*m + m + 2. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*k - 882 - 1400, -3*k = 5*i - 2846. Suppose 4*m + 672 = -i. Let y = 573 + m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*r + 66. Solve 5*i - i + r = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*y - 23*y - 201. Suppose 0 = -4*c + 8 - 24, 2*c = 3*x + 19. Put 5, x, y, -5 in descending order.\nAnswer: 5, y, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*b - 27*b - 13*b + (-2*b + 6*b + 7*b)*(-3 - 2 + 4) - 3 + 2*b - b + 3.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*v - 138, -7*v + 345 = -5*t - 2*v. Is -68 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 0.1. Let o be (-1)\/(-3) + (-1)\/21. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(45)\/(sqrt(20)\/sqrt(4)) + sqrt(9)) - (sqrt(605) + -2 + -5 + sqrt(605)))**2.\nAnswer: -301*sqrt(5) + 9441\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -457*d**8\/56 - 153*d**4\/4 - 492*d. Find the third derivative of v(j) wrt j.\nAnswer: -54840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869335449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-44720226\nAnswer: -89440452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 (base 12) in base 7?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 63289451, 14, 1 in increasing order.\nAnswer: 1, 14, 63289451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -15, 39178.\nAnswer: -15, -1, 0.2, 39178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-32)\/(-14))\/((-75)\/(-7)). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630805435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-54)*5901\/(-367829)\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 91*x - 22*x - 9 - 23*x - 2*x**2 - 46*x.\nAnswer: -x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 16}. Give prob of picking 1 u and 1 p.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -4\/3, 1736, 2, 547?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 + (9 - -138)\/3 + (-20 - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + ((-144)\/357)\/(81\/(-756))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986*z = -1608*z - 1134 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/4*-4*(-89 + 96) and 1 + (-2 - 2*-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 869875*d\/4 - 434937\/2.\nAnswer: -(d - 869874)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -3, 43, 145, 321?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i - 78*i + 40 = -j, -2*j + 11*i = 87 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let n = -689 + 691. Suppose 0 = l - n + z. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 166, 441, 824, 1315?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**7\/280 + c**6\/60 - c**5\/40 + c**3\/3 + 8*c. Let d(k) be the second derivative of x(k). Factor d(z).\nAnswer: -3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*f**5 - 134*f**2 wrt f?\nAnswer: 11640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = -7. Let h = j - -4. Let g be -1*4\/(-1) - -2. Is h at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/350 and -81\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/13)*g\/g**(-3\/2))**(10\/3) assuming g is positive.\nAnswer: g**(485\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 488058\nAnswer: 1\/488058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Let h(o) = -o**3 - 20*o**2 + 44*o + 5. Let a be h(-22). Suppose 0 = z*y - a*y - 19. Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 1. Let d(j) = -4*j**2 - 3*j + 8. Let b(h) = d(h) - 3*s(h). Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 - 0.05. Let u = 6.6621 + 0.3379. Sort p, -2, u in ascending order.\nAnswer: -2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 110. Let z = 4 + -4. What are the prime factors of b(z)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8 = 3*c - 152, -3*c + 144 = 3*j. Suppose -40 - c = -11*q. Solve 12 = -11*k + q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-36) - -5)\/(21\/8).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4899 + -3567. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 20*z - 77. Let d(p) = p**2 + 9*p + 39. Calculate -9*d(w) - 4*k(w).\nAnswer: -w**2 - w - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -586031 and -1125320.\nAnswer: -1711351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*n**5 - 2*n**4 + 1461445*n**3 + 12296627*n**2 - 5*n wrt n?\nAnswer: 2280*n**2 - 48*n + 8768670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2542, 10164, 22870, 40666, 63558, 91552, 124654?\nAnswer: 162870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -961949604 divided by 11\nAnswer: -87449964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Find the third derivative of 5*x**o - 4*x - 2*x**5 + 4*x + x**2 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + 834?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amsv when four letters picked without replacement from {m: 1, s: 2, a: 1, v: 1, g: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1060, 1027, 994?\n\"Answer: -33*y + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 118*z - 926. Let j be y(8). Sort 2\/3, 5, j in descending order.\nAnswer: 5, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i = 9*s + 119*i - 47, 4*s = -5*i + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 757800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -524, -763, -1098, -1529, -2056?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, 0, 101, 274, 537, 908, 1405, 2046?\nAnswer: 2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 27*x - 99. Let o(n) = -2*n**2 - 27*n + 91. Let g(i) = 7*o(i) + 6*s(i). Determine g(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2521 - 2519. Let j = -54 - -60.4. Let x = j - 6. Which is the third biggest value? (a) x (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979229.\nAnswer: 979229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v. Let y(r) = 49*r. Suppose 0 = -2*h - 5*o + 189, 3*h - 2*o - 251 = -3*o. Let p be h*2\/12 - (-1)\/3. Give p*s(j) - 3*y(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 350424025 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 64*c - 118. Calculate o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and -2251421.\nAnswer: -333210308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128793950 to the nearest integer?\nAnswer: 11349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 2071301.\nAnswer: 2071321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -0.2, -0.4, 5, -3\/8, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5408.9 + 4088.82. What is o rounded to the nearest ten?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7646499 and 202713?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2450*w**2 - 63*w + 2892544 wrt w?\nAnswer: -4900*w - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1014989 - 365724. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 - -17) + 127*(1 - 2). Let m = h + 145. Suppose -3*s - 65 = -0*s + 5*t, m = -s - 3*t. Is -30 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 26 = -4*x + 3*f, -3*x = 2*f + 2. Let i be -1*(x\/(-4) - 2). Suppose 0 = 3*z + b - 3, -2 = -5*z + 3*z + 4*b. Is z not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2599*d**3*h**3 + 25*d**3 + 1305*d*z - 9*h**3 - h*z with respect to h.\nAnswer: 7797*d**3*h**2 - 27*h**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/5)\/w*w**4 assuming w is positive.\nAnswer: w**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 3*h + 3*h)*(2*h - 16 + h**2 - 19 + 21) to k*h**3 + s*h + i*h**2 + d and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*g**2 + 2975*g**2 + 1142*g**2.\nAnswer: 4273*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/156)\/((-987)\/8554*6\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 39. Does 28 divide (i\/5)\/(3\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + d**2 - 5*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let m be 56\/26 + (-98)\/637. What is the closest to 2\/5 in m, -4\/5, t?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119.276 - 0.276. Which is greater: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -93, -1, 1\/4, -3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let q be -4*((-1)\/1)\/f. Suppose 0 = 9*n - q*n - 30. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 5*a - 6. Let i be w(-6). Suppose 0 = -i*m + 5*m - 25. Suppose -20 = -m*f + 20. Solve -2*q - 2*q - f = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 79*k**2 + 398*k + 2927. Determine j(73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/40 + b**5\/20 + b**2. Find j such that g(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2045*k + 2040*k - 4*x - 26 = 0, -2*x - 16 = 3*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8851004, -8851026, -8851086, -8851202, -8851392, -8851674, -8852066, -8852586?\nAnswer: -8853252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 44. Calculate the remainder when (2 + 0)\/(4\/30) is divided by p(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = -12. Suppose 0 = o*w + w - 15. Suppose w*a + 8 = 17. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = -2*o + 140, -3*z + 4*o = -134. Suppose -89 = -5*g + 2*l + 28, -l - z = -2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69030 divided by -90?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -23*x + 7*x + 2*x - 4*x + 20*x. Let r(o) = 4235*o**2. Give c(r(p)).\nAnswer: 8470*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (-4 + 13)) + 256 is divided by 78?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5844.2*9\nAnswer: 52597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7098.51*-0.4\nAnswer: -2839.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15 + 7*p - 16*p**2 + 15*p**2 - 5. Let b be u(8). Find the first derivative of 16*v**2 - 16*v**b - 2 - 7*v**3 - 2 wrt v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -313, -305?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*k + 323*k + 301*k.\nAnswer: 113*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/(q**0*q*q))\/(q**(2\/7)*q)**(-8\/3))\/(q**(2\/11)*q\/(q*q**(-2\/5)*q))**28 assuming q is positive.\nAnswer: q**(3518\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8393054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*i + 13*i + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6 and 33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -28*g + 14. Let n(t) = 29*t - 7. Determine 2*m(i) + 3*n(i).\nAnswer: 31*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1531 - -1736. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 57*o - 36 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2045636775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1908 + 1907. Sort w, 3, -4, -9.\nAnswer: -9, -4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 4 + 1\/3*w**3 + 0*w**2 + 0*w. Let r(h) = -2*h**2. Calculate r(p(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11056082?\nAnswer: 2, 5528041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 52*l - 204. What are the prime factors of q(55)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3177.8 - 4893794.\nAnswer: -4890616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - -1)\/(((-1)\/15)\/(-1)). What is the greatest common factor of j and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -30. Let r(x) = -565 + 286 - 7*x + 267 + x**2. Give r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (30 - 27)*3\/(-10). Which is the nearest to k? (a) 0.1 (b) -1\/10 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132028 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 105. Let n be p(25). Which is the closest to 0? (a) -0.5 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w - 194*w**3 - 1 - 44*w + 2*w**2 + 193*w**3 to f + u*w**2 + g*w + i*w**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 635 and -1.14?\nAnswer: -723.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/21)\/((-14)\/(-196))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 520576363 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 5*f + 1\/8*f**4 - 1\/1344*f**8 + 11\/240*f**5 - 10*f**2 + 1\/6*f**3 + 1\/480*f**6 - 1\/280*f**7 + 0. Factor a(d).\nAnswer: -(d - 2)*(d + 1)**3*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.1, 7\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 160*y - 740 = 3538 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20869, -20770, -20591, -20332?\nAnswer: -19993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = -3*w + 31*j, 7*w - 13 = -5*j. Suppose -2*t - t - 4*y + 23 = 0, -t + 4*y - 3 = 0. Sort w, t, 1.\nAnswer: 1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 15*u - 8502. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*d - 34464 = -333*d. List the prime factors of d.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*a = 13, 0 = -v + a + 7. Suppose -k - 2 + v = 0. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, 2.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -14*u - 108. Let b(j) = -4*j - 3 + 3*j - 8. Let l be b(-14). What is the greatest common factor of u and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230221303230 (base 4) in base 7?\nAnswer: -201332025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 = 17. Let r(y) = 2*y**3 - 6*y**2 + y - 1. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 3*h - 50. Let v be x(-9). Suppose -5*a + 3*a + 4 = 0. Find the second derivative of 3*b**4 - 4*b**v - a*b - b wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**3 - 7*y**3 - 10*y**3 + (-4*y + y + y)*(-2*y - 2*y**2 + 2*y))*(0*y - 2*y + 0*y - 1) to the form t*y + k*y**3 + j*y**2 + r*y**4 + n and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15 - j - 4*j - 7*j + 10*j. What is s(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -60, -77, -70, -33, 40, 155?\n\"Answer: l**3 + 3*l**2 - 51*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/13*13)\/(4\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 22. Let h be 10\/25 - (-98)\/5. Let v be s(h). Suppose 5*w - 915 = 2*r, -r = v*r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2092 (base 16) to base 9\nAnswer: -12384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 24046*b - 45 = 24044*b, 0 = 4*a - 6*b + 2 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/(338\/(-507)) + 2\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*((-1*sqrt(13) + sqrt(13))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 24*b**2. Let z(s) = -416071*s. What is m(z(h))?\nAnswer: 4154761848984*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-9)\/12. Which is the second smallest value? (a) 3\/2 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/4 + 2*a**4\/3 - 10*a. What is the third derivative of u(j) wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:33 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67677 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let t(j) be the second derivative of j**4\/12 + 5*j. Give q(t(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726361381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 13) to base 14.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35772 = -0*r + 22*r. Calculate the least common multiple of 2 and r.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6*(-148842)\/(-3). What is c rounded to the nearest 100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 37*t**2 + 105*t - 472. Calculate w(-40).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (19 + -34 - -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(4 + -3). Let a = -7 - i. Find the common denominator of -13\/18 and 14\/a + -3 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = 4*z, -4*z = -11 + 3. What is the second derivative of 3*m**3 - 4*m + 36*m - 10*m**3 - j*m wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 6 + 1 + 4 + 2*h - 1. Determine w(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -5*j**4 + 5 + 8\/3*j**3 + 0*j + 0*j**2. Find n, given that c(n) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250 - -3520034?\nAnswer: 3515344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h**2 + 3 - 8*h + 8 + h**2 - 9. Suppose -5*u + 11 = 4*w, 4*u = w + 27 + 7. Determine i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, -2380 in increasing order.\nAnswer: -2380, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 135\/35)\/(33\/(-154)). Solve 10*g = w + 46 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 7. Let n be s(-5). Let l(r) = 6*r**3 - 5*r**2. Suppose 0 = -m - 2 - 8. Let v(u) = u**3 - u**2. Give m*v(k) + n*l(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose -4*m + 12 = 3*n - 5*n, -15 = -j*m. Let l be (-4)\/(-42) - 0*7\/(-21). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f**5*f)\/f*f)\/f*f)\/(f\/f**(-4)))**(-14))**(-47) assuming f is positive.\nAnswer: f**1316","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.927 and 2.\nAnswer: 1.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(0 - 1\/(-3)). Let s be -3*(9\/18 + 10\/(-12)). Let k be (0 + s)*(a - -1). Solve 0 = -2*g + k, 5*o - 2*g + 0 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2851918, -2851919, -2851920, -2851921, -2851922?\nAnswer: -2851923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:32 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482687 + -4.5857.\nAnswer: 482682.4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = -5*r + 4*r, -27 = -r + 3*j. Calculate the lowest common multiple of r and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-81)\/891*2\/640. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5633 and 6192.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -375326, -1501311, -3377960, -6005273, -9383250, -13511891, -18391196?\n\"Answer: -375332*n**2 + 11*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.5. Let q = z - 0.3. Let x = q + 0.2. Sort 0.1, 4\/9, x in descending order.\nAnswer: 4\/9, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(312)\/(sqrt(8) + sqrt(72)))\/(sqrt(24)\/sqrt(2)) + 3) + -4)**2 + -3 + 1.\nAnswer: 5*sqrt(13) + 1581\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lell when four letters picked without replacement from {l: 3, e: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20 - -130 - (0 + 9)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 6:15 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67652 and 182?\nAnswer: 473564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 40 = -h + 5*i, -h - 4*i = -18. Solve 0 = -4*c + 5*u + h, -4*u - 20 - 4 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -60*f + 1516. Let m be o(19). Solve 0 = -3*v - 5*y + 371 - m, 2*y = 3*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxn. What is prob of sequence xnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17484)\/(-6696) + 7\/(-2).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -132\/13 (c) 2 (d) -3 (e) 2\/9 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913232 is divided by 301.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, g: 5}. What is prob of picking 3 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32250061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/(i**(2\/7)*i)*i\/i**(-4)*i**2)**(-38) assuming i is positive.\nAnswer: i**(-988\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 1. Let i be x(0). Let d be (3 + i)\/(4\/(-8)). Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264705841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4419 + 0 - (294 + -275). What is the greatest common divisor of o and 990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 9. Suppose 0 = -d*j + 14 + 10. Suppose -3*v - 5*g - 710 = -6*v, 5*v - 1210 = j*g. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1622 - -108028?\nAnswer: 110651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Let q(j) = 5*j + 3. Let s be q(0). Which is the third smallest value? (a) l (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3*n + 5307 = -6*l, -4*n + 8818 = 5*l. What is the remainder when l is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/2 - 2)*1. Let k be 26\/(-1)*-5 + -4. Suppose -u + k = j*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33437 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15407 = 4*i - 6297. What is i rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjffffnfggfnfznz. Give prob of sequence gzz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2100, -257, -76 in descending order.\nAnswer: 2100, -76, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 2183?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/3)))**(6\/13) assuming a is positive.\nAnswer: a**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a + 4*a + 2*a**2 - 36*a + 17*a + 8*a. Let q(t) = -28*t. What is q(j(s))?\nAnswer: -56*s**2 - 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k = -110*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.2 (c) -1\/2536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -396, -741, -1086, -1431, -1776?\n\"Answer: -345*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1100) + 2 + 3 + sqrt(1100)*-2 + (sqrt(1100) + (sqrt(1100) + 2)*-2 + sqrt(1100) + 1)*-5)**2.\nAnswer: -540*sqrt(11) + 1829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26406 divided by 2934?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1933, 7756, 17463, 31054, 48529?\nAnswer: 69888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -426 + 65. Let r = 611 + g. Suppose -3*s + 419 = -r. What are the prime factors of s?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n**5 - 10*n**4 + 30*n**3 + 40*n**2 + 8*n = 0. What is n?\nAnswer: -2, -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41318 divided by 1?\nAnswer: -41318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 9*m + 9. Calculate the smallest common multiple of j(-9) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -1.04. Let i(v) = -2*v + 1. Let l be i(0). Is h < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.1 - 65.52713397\nAnswer: -114.62713397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-225)\/(-90)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115533, -231081, -346629?\nAnswer: -462177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9175520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 1\/3*o**3 + 1\/2*o**2 + 6*o + 2. Is f(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -4. Suppose z - 4 = -3*j, j = 5*z + 6*j - s. Suppose x - 4 = z. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let o be (-100)\/25 + (-503)\/(-117). Let v = 18\/65 - o. Is v smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**6\/3 - 7*i**3\/3 + 9. What is the third derivative of l(j) wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 172 = -d, 0*o - 3*o - d + 268 = 0. Suppose -54*f = -58*f + o. Calculate the remainder when 218 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -10 - 6. Let s(j) = 26*j - 81. Let q be s(23). Let a = -514 + q. Solve m + y = a*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 12 + 2*l**3 - 18 + 4 + 4*l in the form y*l**2 + p*l + b*l**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/5197564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = p + 4*a, 0 = -2*p + 2*a + 2 + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18768400233973 plus -2?\nAnswer: -18768400233975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35235434 and 335.\nAnswer: 176177170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let s(u) = 2*u**2 - 46*u. What is p(s(q))?\nAnswer: -6*q**2 + 138*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 2 - (37 + -31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5325406.203901 - -4\nAnswer: -5325402.203901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -12*s + 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116526 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 - 0.04. Let f = 223823\/4 - 55956. Sort l, f, -1, -2 in decreasing order.\nAnswer: l, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -33, -1\/5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1051422 and 178.\nAnswer: 93576558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/16 and 35\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356 + -354. Suppose 15 + 0 = -h*x - 3*m, -5*x + 4*m - 72 = 0. Which is the second smallest value? (a) 0.01 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -49. Let y(s) = -s**3 + 9*s**2 - 5*s - 8. Give y(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p + 25. What is the second derivative of -4*z + p*z - 4*z + 0*z + 3*z**4 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*d**2 - 273*d**2 + 137*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32540293101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, -0.16, 4, -170, -5, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47759 (base 12) in base 8?\nAnswer: 273565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8582 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + l - 244 = h, 152 = 2*h - 2*l. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001001111 (base 2) in base 4?\nAnswer: 1201033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*g - 4 = 0, -p - 3*g = -3 + 1. Let y(d) = -5*d**2 + d**2 + 0*d**p + 3*d**2. Let n(j) = -9*j + 4*j**2 + 9*j. Calculate n(y(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11661 divided by -10\nAnswer: -11661\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 4541?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -13. Let r = 10.0000112 - z. What is r rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18635, 0, -1 in ascending order.\nAnswer: -18635, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312 = -6*m + 1418. What is the highest common factor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 46995*y**2 + 552156003*y + 552109009.\nAnswer: (y + 1)*(y + 23497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = -5*k + 32, -2*o = -4*k + 22. Let q = 5978 + -5961. Let y = 87 - 83. Sort y, -4, o, q in increasing order.\nAnswer: -4, o, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4515 divided by 903?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 10*p + 15. Let z be b(-7). Let j be (8\/z*-6)\/(-2). Which is greater: -34\/9 or j?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = -5*l. Let o be 10\/2 - (-14)\/(-14 + 7). What is the least common multiple of 2\/o - 64\/l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*z + 3*a, 156*a = -5*z + 158*a + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 4, -9, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*j - 3*z - 6, -4*j - 4*z = -36. What is the fifth smallest value in 0.2, 8, -2\/11, j, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8079, -15903, -23727, -31551?\n\"Answer: -7824*g - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/15 - (-2)\/(-10). Let d = 66 - 92. Let c = d + 77\/3. Which is bigger: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.551043 milligrams in micrograms?\nAnswer: 2551.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**3\/15 - 2*m**2\/5 + 7. Factor k(t).\nAnswer: -2*t*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -144, -183, -194, -165, -84, 61, 282?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18397596 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 5*d - 7. Let p(l) = -l**2 - 4*l - 6. Calculate 5*p(i) - 4*y(i).\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 18. Let u be a(17). Let o(t) = t**2 + t + 1. Let n(r) = 5*r**2 + 17*r + 4. Let l(s) = u*n(s) + 4*o(s). Find the second derivative of l(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 561 - 3977\/7. What is the common denominator of w and 91\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.31291 + 0.02991. Let h = o + 0.283. Let t = 4.4 - -0.6. Which is the nearest to 0.2? (a) h (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 4, c: 9, d: 4}. What is prob of picking 2 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*j - 3*j - 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:51 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 25, 7, 5 in ascending order.\nAnswer: -9, 5, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/9*s**5 - 2\/9*s**2 + 0*s + 0 + 14\/9*s**4 - 4\/9*s**3 = 0 for s.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 2*x + 80. Let o be b(9). Let a = 4143\/8 + -517. Find the common denominator of (o\/(-32) + -3)\/((-15)\/(-545)) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = -0*z + 5*z. Suppose 2*w + 8 = -2*w. Is ((-1)\/2)\/(w\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889 is divided by 1721.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 minutes before 6:28 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 2904?\nAnswer: -2904.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871775 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 108*c**2 + 337*c + 39. What are the prime factors of a(-48)?\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 6*g**2 + 19*g**2 - 8*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 28 = 4*g. Let y = g + -9. Suppose -32 = -5*s + 5*i + 113, y*s = -5*i + 155. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. What is the nearest to h in 0, 4\/3, -1\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(450)*-4)\/(4*sqrt(40)) + ((sqrt(315)*-2 + sqrt(315))\/sqrt(7) + 2)*-1)*6)**2.\nAnswer: -216*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 + 5*s**4\/12 - s**3 - s**2 + 18*s. Suppose 2*i - 17 = -29. Determine f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 5 + g - g)*(-g**2 + 5 + 4 - 6) in the form h*g**2 + k*g**3 + u*g + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 9, a: 3, e: 4}. Give prob of sequence gb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 2. Let y be g\/8 - (-2)\/8. Suppose -3*x = y*k + 2, k + 5 = 2*x - 1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101101111?\nAnswer: -101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12638928 by -3159732.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_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: How many minutes are there between 10:29 PM and 11:57 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -951100148*l**2*p**4 + 8550*l**2 - 29411*l wrt p?\nAnswer: -3804400592*l**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 121. Let d(l) = -l + 1. Give d(a(p)).\nAnswer: 7*p - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -18) + -1 + 9531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11 = l, 0*l - 3 = -l. Suppose -3*j - 2*x - 14 = -4, -2*j + q*x = -4. Let a be (-200)\/(((-2)\/j)\/(-285)). Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.29, -5, -0.019 in decreasing order.\nAnswer: 0.29, 1\/5, -0.019, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7259227 + -7259276.50081. Let b = w - -49.54981033. Let y = b - 0.049. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57694, 115520, 173450, 231484, 289622, 347864, 406210?\nAnswer: 464660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1243 and -1.6064.\nAnswer: -1996.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 101?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 10*z + 2. Let f be q(10). Suppose -4*l - 24 = -0*l + 4*s, -15 = 5*l + f*s. Let c = l - -7. Calculate the smallest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57890646?\nAnswer: 2, 3, 11, 97459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 1 - 19*t**2 + 21*t**2 - 2*t**4 - 4 in the form r*t**2 + l*t**4 + y*t + q + b*t**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbmd when four letters picked without replacement from dububmqdbdqbukbuqq.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 5*f**4 - 45*f**3 - 45*f**2 = 0 for f.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -22*b**3 - 11*b**2 + 21. Let l(f) = 3*f**3 + f**2 - 6. Let g(v) = -7*l(v) - r(v). Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**2 + 303*s - 376*s - 2*s**2 + s**5 wrt s.\nAnswer: 20*s**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n = 3044. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1673 = -35*q + 1883 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 81*i + 624 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 4, l: 9, d: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.735848 millilitres?\nAnswer: 0.006735848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 106. Suppose l = 2*o + o. Let x(i) = 18*i**2 - 4*i - 4. Let s be x(-2). Calculate the highest common divisor of s and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 7, -2, -0.2, 6\/5, 3 in increasing order.\nAnswer: -2, -0.7, -0.2, 6\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206571421, -206571433, -206571459, -206571505, -206571577?\nAnswer: -206571681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 11. Let d = -6 - w. Let k = -149\/10 + 29\/2. What is the third biggest value in 4, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*p + 250*p = 9971 + 16020 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 42 - 19)*(2 - 3*j - 2) to i*j + y and give i.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 621, 960, 1299, 1638, 1977?\nAnswer: 2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60614495 to the nearest integer?\nAnswer: 7786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = 3*v, -a - 3*a = -v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-36)\/(y**(-1))**26*(y**(-9)*(y\/(y\/((y**(2\/13)\/y*y)\/y)))\/y)**(1\/5) assuming y is positive.\nAnswer: y**(6229\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 - m**2 - 3*m - 1. Let l(d) = -d**3 - d. Calculate -6*l(w) - z(w).\nAnswer: -w**3 + w**2 + 9*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1964 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o**3 - 32*o**3 - 42*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 574. Let y(k) = 2*k + 206. What is p(y(z))?\nAnswer: -10*z - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0897139985 rounded to four dps?\nAnswer: -0.0897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 4. Let t(j) = -2892*j**2 - 13496. Determine -10122*r(l) + 3*t(l).\nAnswer: 1446*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1290 and 83\/30.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -6752?\nAnswer: -6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-9\/7))*m\/(m*m**4)*m*m)\/(m*m**(-23)*m*m*m\/(m\/(m\/(m*m**(-4\/7)\/m)*m*m))*m*m))**(-4\/19) assuming m is positive.\nAnswer: m**(-340\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)\/(g*g*g**3)*(g**(-5)\/g)\/(g*g*g*g\/g**(-1\/2)*g*g*g*g) assuming g is positive.\nAnswer: g**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*z**3 - 4*z + 97*z**3 - z**4 + 4*z + 4*z - 2 to s*z**4 + y*z**2 + o*z**3 + l*z + g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v = 11*v + 10*v + 48 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -13*o**4\/6 - 411*o + 2. Let n(z) = 35*z + 3. What is l(n(k))?\nAnswer: -31850*k**2 - 5460*k - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, c: 8, k: 4, o: 2, w: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31734 is divided by 31719.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 - ((-96)\/(-240) - (-54)\/(-10)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(396\/154)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-32)*2*1. Let o be 1\/(-2)*-38 + y. Calculate the greatest common factor of o and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 4. Let b be w(4). Let h(r) = 4*r - 2. Let f(n) = -n. Let v(s) = -3*f(s) - h(s). Let x be v(b). Solve 0 = -6*c + c + 20, -x*l - 18 = -2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*i - 5*i = -150, 350*p + 2797 = 80*i - 82*i + 1105 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2711438 + 0.1112138. Let y = 0.02607 - w. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7244 + -7214.43. Let h = 30 - b. Let j = h + -0.73. What is the biggest value in 0.2, 0.1, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 19*o - 4. Let l be s(4). Let k be (-16)\/l - 31\/(-99). Suppose 6*m - m + 25 = 0. Put m, 5, k in descending order.\nAnswer: 5, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 25, 21, 15, 7, -3?\n\"Answer: -m**2 + m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 3 (c) 2 (d) -230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-702)\/(-104))*(1\/4)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2 + 5*z - 121. What is w(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -241*t - 18. Let q(u) = 361*u + 28. Calculate 8*f(d) + 5*q(d).\nAnswer: -123*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -2)*2445\/30. Let d = 818 - z. List the prime factors of d.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69213891, -69213890, -69213891, -69213894, -69213899?\nAnswer: -69213906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 1 + 2, 0 = 3*o + 2*t - 11. Suppose 4*b + d = 2*d + 49, -o*d + 21 = 2*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - 3*m + 4. Let k be 4 - 4 - ((-8)\/2 - 0). What is b(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from taaaaaattatat.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957550?\nAnswer: 2, 3, 5, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 4*d**2 + 36*d - 14*d**2 + 5*d**2 to the form p*d**2 + f*d + w and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 3*f**2 + 5. Let a be l(5). Let k = 4 + -2. Let d be ((-88)\/k)\/(-5 - -3). Calculate the highest common factor of a and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.1, -15\/7, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 2*u**2 - 13*u**2 - 5 + 10*u**2 - 19*u**3. Let n(h) = -28*h**3 - 7*h**2 + 7*h - 7. Give 5*n(v) - 7*o(v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 106.6.\nAnswer: -426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175302 + -13347. Let u = -562955 + i. What is u rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k - 1. Let w(j) = -j - 4. Let r(s) = -2*s - 8. Let n(c) = 3*r(c) - 7*w(c). Calculate 3*l(o) + n(o).\nAnswer: 3*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 5*o - 4. Let n(b) = -b**2 - 9*b - 7. Let u(s) = 3*n(s) - 5*x(s). Let r be u(-2). Let k = -7 + r. Solve 0*p - k = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3701.6 + 17.\nAnswer: -3684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 - 399 = -m. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 68829965?\nAnswer: 481809755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1498 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2) - sqrt(18)\/sqrt(9)) - (sqrt(2) + sqrt(242) + sqrt(242) + 1*sqrt(242) - sqrt(2)))**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17295.24069 seconds in weeks?\nAnswer: 0.028596628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c + 1. What is p(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*n + 30*n - 59*n)*(4*n + n - 3*n**2 - 4*n)*(1 + 3 + 3).\nAnswer: 1743*n**3 - 581*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/10*(12\/(-120))\/((-48)\/320)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13797\/24 + (2\/16 - 0). Suppose -r - d = -2*r + 2*n, -3*n + 1178 = 2*r. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Let x(t) = -3*t + f*t + 0*t. Let m(z) be the first derivative of z**3\/3 - 2. Give m(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-60)*-5)\/(1\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 4*x**4 + x**4 + (-1 - 2*x**4 + 1)*(2 - 1 + 0) + 0*x**4 + 0*x**4 + 9*x**4 + 0*x**4 - x**4 + 3*x**4.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5292571 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0949631514 to 4 dps.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, 1 s, and 1 b when four letters picked without replacement from {b: 3, z: 2, q: 1, j: 1, e: 1, s: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a factor of 313969475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3907, -3906, -3893, -3862, -3807?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/25192 and 65\/134?\nAnswer: 25192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 15 = -3*o, 9*t = 13*t + 3*o + 15. Let m be 11 - (t + 7 + 6). Solve -4*p = m*a - 23 + 7, 5*p - 18 = -4*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6352 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 56. Let i = n + -45. Which is the biggest value? (a) i (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 1700.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*i**4 - 6*i**3 - 46*i**2 - 1086\/11*i - 644\/11 = 0.\nAnswer: -23, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 27 = -2*d - 37, d + 5*q + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 12 - -15 - (-2 + 21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - ((sqrt(56)*-2)\/sqrt(8))**2 - sqrt(7) - (sqrt(63)*-2)\/sqrt(9).\nAnswer: -28 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 6. Let f = -16 - -10. Let d = g + f. Sort d, 4, 2 in ascending order.\nAnswer: 2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = -4, 0 = -2*z - 2*j + 12. Suppose -q - i = i + 9, 4*q + z = -i. What is the least common multiple of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*o - 194 = 0, 0 = 5*f - 3*o - 157 - 179. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/10 - (-1)\/(8\/(-12)). Which is the fourth smallest value? (a) -5 (b) -0.06 (c) -10 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/11 + 26*w**3\/11.\nAnswer: 2*w**3*(w + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7930.95 minutes to hours.\nAnswer: 132.1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxxxktxsktxxsxxks. Give prob of picking 1 x and 2 s.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - (-1 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/5*(-3)\/(-2)*11\/(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 16 = -5*q. Let h be (-1)\/(-1) + q\/4. What are the prime factors of (-2)\/(h\/21)*-1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**4 + 2581294*z - 47210481 wrt z.\nAnswer: -28*z**3 + 2581294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 14. Let h be z(-7). Suppose -s = -h*s + 4*t + 16, -4*t - 16 = -3*s. Sort -3, s, -4 in increasing order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1183 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + o**2 + 35*o + 61. Let h be l(-2). What is the closest to 2\/9 in 3\/8, h, 0.07, 3\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43\/39655 or 0?\nAnswer: 43\/39655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61960 and 3240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*g = -29225, 2*g + 9749 = -93*t + 94*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387610.8 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqgqqqqgggqvvgv. Give prob of picking 1 q and 3 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**3 + 337892*v**2 - 2378506260*v - 792872964.\nAnswer: -4*(v - 14079)**2*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.54087 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x**3 + 2*x. Let r(f) = -28*f**3 + 7*f. Suppose 16*a - 28*a - 48 = 0. Give a*r(o) + 14*l(o).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.1 - 14. Let i be (-4)\/22 - 12\/176. Put k, 5\/3, i in ascending order.\nAnswer: i, k, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(-11*t**3 + 28*t**2 - 28*t**2 + (-6*t**2 + 3*t**2 + 2*t**2)*(t + 2*t - t) - 2*t**3 + 2 - 2).\nAnswer: -30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.111797.\nAnswer: -0.611797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -101)\/((-8)\/(-16))?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v**3*(v\/v**(-1\/19))\/((v\/v**(-9))\/v))**(-40) assuming v is positive.\nAnswer: v**(-3080\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 223 + 670 - 222 - 225. Let d(t) = -1 - 11*t**2 - 2 + 2. Give d(w(y)).\nAnswer: -11*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-6))\/(4\/(-18)). What is the units digit of -3 + g*(-3)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 1, k: 1, r: 1, u: 2, a: 2}. What is prob of picking 1 a, 1 k, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in 72, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5235 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/196?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(60\/6)*6*(-225)\/(-315)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2c04?\nAnswer: -2c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:48 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30940\/(-23800))\/((-26)\/12))\/((-1)\/(-125)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -100166019.\nAnswer: 50083009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 125728.16 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3)\/(3\/75). Suppose -2*n - 3*y + 90 = 0, 0*y - s = -n + y. Suppose n = 4*z + 8. What is the least common multiple of z and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1348913168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*a + 234*a + 457*a.\nAnswer: 887*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + j - 4*x + 16, 4*x - 16 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93\/167 - -8033\/1169. Factor -12\/7*n**2 + k*n + 40\/7.\nAnswer: -4*(n - 5)*(3*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 38564 - 77120 + 38562.\nAnswer: -13*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -fd (base 16) in base 15?\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074151444 rounded to 5 dps?\nAnswer: 0.00742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3488681*m**4 - 301*m**2 + 2445*m wrt m?\nAnswer: 83728344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3297648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 11818*r + 41 = 11815*r, 2*r = 5*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4754.745 decades?\nAnswer: 47.54745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*a + 191 = -710*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 0. Let n = 1.7 - -0.4. Let q = n + -2.2. Which is the closest to q? (a) -2 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 10. Let w be t(-7). Let f(y) = -y**2 + 2*y + 3. Let z be f(w). Let b(r) = -2*r + 4*r + z*r. Let v(o) = 2*o. Calculate b(v(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 30*g**2 - 13*g - 42. Let k be c(23). Suppose -k - 2650 = -18*b. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8341 - 5.8341. Which is the smallest value? (a) i (b) 1\/9 (c) -44 (d) 1\/7 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 41. Let j = r - 19. Suppose -6 = -k - j*q - 2*q, 0 = -5*k - 3*q + 16. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 72 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j - 110804 = 29*j + 109*j - 124520 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-2)\/2) + (-34 - -41). Suppose i + 11 = f + 5*y, 0 = -4*f + 3*y + 14. Suppose -f*m = m - 504. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 212399.5 and 58328?\nAnswer: 154071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 3*c - 162 = -30, 7 = -4*j - 2*c + 16 + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0838553 times 15.8?\nAnswer: 1.32491374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 11*k**2 - k + 15. What is c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + f**3 + f**3 + (-5*f + 5*f + 2*f)*(-3*f**2 + 0 + 0) to w*f + i*f**3 + z*f**2 + k and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600) + sqrt(1600)*2)\/(-6*-2*sqrt(5)) + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 4. Let q(r) = 0*r**2 - r**h - 3*r**2 + 5*r**2 + r. Give q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 190349, 190347, 190345, 190343?\n\"Answer: -2*c + 190351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:52 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(585\/(-813351)) + (1 - 3). Let h = w - -6953. Find the common denominator of h and -59\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = o. Let i(s) = 3*s**2 + 2*s**2 - o - 4*s**2 + 4*s**2 - 8*s. Let j be i(-3). Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -0.193069?\nAnswer: -0.1158414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -10 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.38 and 979242?\nAnswer: 979248.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n + 8*n - 16*n**2 - 25 - 24 - 62 to l*n + k + j*n**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32908181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*t + 7. Let n = t + 43. Let h(x) = -x**2 - 11*x - 6. Let d be h(-9). What is the highest common divisor of n and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 + 2*g - 5. Let j be h(4). Suppose j*c - 6 = c. Find the second derivative of -2*y**4 + c*y**4 - 5*y + 4*y wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*9087\nAnswer: 363.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-124))\/(8\/80)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 2*v - 1. Calculate g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h + 4. Let d be (-4)\/((8\/30)\/((-2)\/6)). Suppose -d*f + 135 = -20*f. Let q(n) = 13*n + 9. Give f*z(t) + 4*q(t).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 2*l, r + 87 = -l + 96. Let q(n) = 2*n - 7. Determine q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 263*h + 2369. Give x(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -27. Let h = -539 + 521. Let n = v - h. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -571\/15 - -2911\/90. Calculate the common denominator of w and 79\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 18 + 30 = 0. Let m = w - -27. Solve c - 8 = -m*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4584846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 16*d - 188. Give r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 36*l - 180 + 514 = -17*l + 8*n, -3*l - n + 18 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**2 + 170 - 345 + 175.\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 21. Let b(j) = -3*j**3 + 2*j**3 - 16*j**2 - 329*j + 21 + 345*j. What is the tens digit of b(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:25 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636488953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/(-102)*(-1)\/(-4)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33707 is divided by 3692?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -409 (base 15) to base 10.\nAnswer: -909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = -2*t, b = -3*t + 5*b. Suppose 5*v - 128 = 2*m + 2*m, t*m + 16 = v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 158, -20, -2, 4, -5 in descending order.\nAnswer: 158, 4, 2, -2, -5, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5283 - 2003. Let b = q + -1774. Let f = b - 1028. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03542732 to 3 decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706308.\nAnswer: 2, 11, 61507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let y be s(0). Let u(a) = 4*a**3 + 90*a**2 + 43*a - 21. Let b be u(-22). What is the closest to b in y, 3\/5, -7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggooee. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7552462405 - 3064467008. Let r = 4487995690.0000237 - v. Let c = -293 + r. What is c rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -28, 2\/15, 5, -0.05?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*p + 4*q + 10, -5*q + 10 = 0. Let i be (-3)\/12 + (-3)\/4. Suppose 3*t = -5*l - 39, 3*l + 3*t + 24 = t. Sort p, i, l.\nAnswer: l, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 1 + sqrt(13) + sqrt(13)) - (sqrt(13) + -1)*-1*-3.\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611392545 less than 16?\nAnswer: -2611392529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 137.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + 203340?\nAnswer: 203522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37 and 4654.\nAnswer: 4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 4252*p + 4254*p + 114, -4*u - 3*p = -82 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z - 35 - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287342 and 3322.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 16*z**2 - 23*z - 25. What is the remainder when l(-17) is divided by (5\/3 - 3)*-15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 16*s**2 + 2*s - 13. What is g(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let p = -2529\/5 + 118933\/235. Let j = -286\/329 + p. Which is the biggest value? (a) -2 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = -1, -5*b - 5*a = 35 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011021102 (base 3) to base 7.\nAnswer: 123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113742925 or -113742930?\nAnswer: -113742930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9638617189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -1\/40*k**6 + k**3 + 1\/5*k**5 - 5*k**2 + 0*k + 0 - 5\/8*k**4. What is b in h(b) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83107160713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {h: 7, j: 5, d: 1, u: 3, b: 2}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 18*p - 2. Let t be y(-18). Let n be t\/2*20\/(-4). Suppose -4*u + 3306 = u + 4*q, n*q + 3315 = 5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/(-28) + 4\/14 - 4 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*20*7\/(-154).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3776 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-3696*r + 3013 - 6024 + 3011).\nAnswer: -7392*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/528109568 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 45*o**2 - 22 + 23 + 30*o**2. What is the remainder when s(1) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**8\/2016 + s**7\/420 + 15*s**2. Factor z(q).\nAnswer: q**4*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 110690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1369*l**3\/3 - 5402666*l**2\/3 + 2336096*l\/3 - 252544\/3.\nAnswer: (l - 3946)*(37*l - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7226 - -7245. Solve -5*z - s*y + 23 = -20*y, 3*y + 14 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrfrrfwwrwrwrrwrrwrr. What is prob of picking 1 w and 1 f?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 169260\nAnswer: -1\/84630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 443*x - 1 + 17.\nAnswer: -443*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083547 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0 - 3. Suppose 4*y + 2*x - x - 9 = 0, -w*y = 3*x - 9. What is q in -2*q - 5*q**y - 2*q**5 + 4*q**4 + 4*q**3 + 0*q**4 + q**2 + 2 - 2*q**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883872 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 416*g + 2502. Let i be k(-6). Solve i*v = 40*v + 204 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 5 - 1 + 6.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 275, -2, 3, -5, 0, 392.\nAnswer: -5, -2, 0, 3, 5, 275, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13*i)\/i**(2\/17)*i\/i**(-8)*i*i**16 assuming i is positive.\nAnswer: i**(678\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -1\/3, -2\/17, 0 in ascending order.\nAnswer: -6, -1\/3, -2\/17, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*b*l**2 + 11786*b*l - 1418*l**2 - 70 wrt b?\nAnswer: 19*l**2 + 11786*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 122*q - 640. Determine m(-144).\nAnswer: 2528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 5*x**2 + 2*x - 5. Suppose 5*o = -3*s + 35, -8 + 3 = o + 3*s. Let r be (-270)\/50 - 6\/o. What are the prime factors of y(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94393 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l**2 + 1. Let t(r) = 262*r**4 + 6*r**3 - 2608*r**2 + 4. Let d(q) = 4*k(q) - t(q). Find the third derivative of d(z) wrt z.\nAnswer: -6288*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 - (-3 - (6 - -1)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0010216, -0.4, -3?\nAnswer: -0.0010216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 226836672*k + 3215929735252224 = 0. Calculate k.\nAnswer: -28354584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/583 or 1?\nAnswer: -24\/583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -4*k**5\/3 + k**4\/24 - 9*k**2. Let s(b) = -2*b. Calculate s(y(i)).\nAnswer: 160*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 7. Let x(y) be the second derivative of -y**3\/6 - 7*y**2\/2 - y. Let u be 1\/(-4) + (-54)\/8. Let d be x(u). Calculate o(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468770867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + (-1)\/(-2). Let j(w) = -w**3 + 3*w**2 - 2*w + 3. Let i be j(2). Suppose 3*l = -2*y + 15, 4*l - i*y - 11 = 9. Put l, -5, m in decreasing order.\nAnswer: l, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) -8 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 645 and 21.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.124719 - 1.2067153. Let j = 0.082 + d. Round j to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101624220 divided by 101624220\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) 4\/3 (c) -0.2 (d) -50 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgqqqhkqggwghqgwqqq. Give prob of picking 1 k and 1 g.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42684 and 71140?\nAnswer: 213420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -4*p**5\/5 + 1298*p**4 + 10396*p**3\/3 + 2600*p**2 + 6737. Factor l(m).\nAnswer: -4*m*(m - 1300)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 50. Let c(r) = r**2 - 4*r - 7. Let o be c(-5). Let u = m - o. What is the highest common factor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -36, -175, -442, -879?\nAnswer: -1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592922605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1821492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9065)\/(-112) - (2 - 713\/368)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 23077289*l**2 + 5*l + 23077289*l**2 + l**4 + 27*l**3 to p + g*l + f*l**4 + n*l**2 + z*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 158*f. Let l(u) = 30506 - u - 30506. What is m(l(w))?\nAnswer: -158*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2\/o*o\/(o\/(((o*o\/(o\/(o\/o**6)))\/o*o*o)\/o))*o*o\/(o\/((o*o*(o*o*o\/o**(-3\/2))\/o*o*o)\/o))*o\/o**(-6))**22)**(-10) assuming o is positive.\nAnswer: o**(-2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2958 + 239 - t + 2*t**2 + 2*t + 764.\nAnswer: 2*t**2 + t + 3961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + q = 17, u + 3*q + 14 - 23 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkh when three letters picked without replacement from hkkhkokkkokkkoko.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 12*d**2 - 405*d - 2408. Give o(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 3*y**6\/10 + y**5 + y**3 + y**2 - 534*y. Find the second derivative of z(d) wrt d.\nAnswer: 108*d**2 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103470 - j - 103470 - 13*j**2.\nAnswer: -13*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26 + 0*o**4 + o**4 - 7 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -32928772452?\nAnswer: 32928772455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 36*q**2 - 5*q - 49. Let t be 7*(1 + -2)\/(23\/(-46)). Is x(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*q = 5347, 0 = 5*d - 4*q + 2893 - 9569. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate the remainder when 27780933 is divided by 32645.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 17*p - 28 = 0. Suppose 5*o + 855 = 5*s, 0*s - 681 = -p*s + 5*o. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 44*p + 37 = -4*z, 0 = 2*p - 10 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*c - 29, 7*c + 5 = 8*c. Solve 3*q + 27 = 2*w + y, 3*w + 2*q + 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 6*x - 17. Let o be m(8). Suppose 0 = 4*y - 7*y - 6. Let j be 0 + (-11)\/7 - y. Is o less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:14 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21514401422 + -2?\nAnswer: 21514401420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1592 and 3.\nAnswer: 4776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**7\/14 + v**4\/12 + 3*v + 3. Let t(i) be the first derivative of g(i). What is the third derivative of t(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 1\/76 (c) -264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 6*u + 75 = 0. Let y(c) = c**2 - c + 7. Let q be y(4). Let t = u + q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -6 + 11. Which is smaller: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10983 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 152, -13, -466, -1303, -2620, -4513, -7078?\nAnswer: -10411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2581, 2738, 2899, 3064, 3233?\n\"Answer: 2*o**2 + 151*o + 2428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/2)*m))\/((m\/(m**(2\/5)\/m))\/m))\/(m**(-2\/19)\/m**(-5)) assuming m is positive.\nAnswer: m**(-1139\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.34 + 2.4. Let h = s + 3.94. Let f be (-13)\/(-10)*(-212)\/(-689). Put f, h, -2\/13, -4 in increasing order.\nAnswer: -4, -2\/13, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -12.02. Let k = 0.02 + d. Put 1, -3, k in decreasing order.\nAnswer: 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 26 = -2*v, 2*m = 2*v + 2*v + 34. Let w(g) = g**2 + 6*g + 2. Let z be w(v). What is the units digit of 25\/z - (-2)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5182ng in tonnes?\nAnswer: 0.0000000000000015182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 2*b = -385 + 299 + 1236 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -42*(((-22)\/3)\/(-2) + -4). Which is greater: 13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 - -11101011?\nAnswer: 11021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 20. Suppose -12*c + 17*c = 225. Calculate the highest common divisor of c and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04063 - 0.24063. Which is the closest to -0.03? (a) x (b) 8\/11 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -851628\nAnswer: 851628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**(-14))\/(w*w*w*w\/w**(-10)))**(-37))**33)**(13\/3) assuming w is positive.\nAnswer: w**(-10582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 1, t: 2, e: 4}. What is prob of sequence eve?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99805?\nAnswer: 5, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - s + 2*s)*(-22 + 10 - 2)*(1248*s - 837*s + 1803*s) as o + t*s + a*s**2 and give a.\nAnswer: 92988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 - (3*(-3)\/9 - -3). Let o(i) be the second derivative of i**5\/20 - i**4 + i**3\/6 - i**2 - i. What is the tens digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*55\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-49)\/(-7))\/(-1))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Let u be v(-11). Let b be (-9)\/u + 105\/2. Let a(o) = o**2 - 4 - b*o - 4 + 60*o. Determine a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2*x + 3. Let n be d(-1). Let i = 1\/975 - -3314\/975. Is n at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-42)\/(-4)*2\/3. Suppose -m = 3*b + p, 2*b + 2*m = -0*m + 2. Let d be (-14 - (-12)\/2)\/(b\/6). Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + (0 - 1) + (6 - -13) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13285, -27816, -43601, -60646, -78957, -98540, -119401, -141546?\nAnswer: -164981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/12 + 8*y. Let w(f) = 43*f**2. What is v(w(x))?\nAnswer: 1849*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 12*f**2 - 4*f + 12. Calculate a(-8).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(1377) - sqrt(1377)) + (sqrt(1377)*-2 + sqrt(1377))*5)**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-2))\/((-8)\/(-16)*9\/6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -14. Let u be 175\/(-7) - (-69 - -36). Solve 3*f + z = u*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000773 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s**(4\/11))\/(s**(2\/3)*(s*s**(-6))\/s*s))\/((s*s**(-1))**(-1)*(s*s**(-2\/5))**25) assuming s is positive.\nAnswer: s**(-142\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49708 is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -34*s + 42*s. Let a be (((-16)\/(-4))\/s)\/((-3)\/36). Let n(i) = -i**2 - 10*i - 21. Let k be n(a). Put 1\/7, 2, 0.5, k in ascending order.\nAnswer: 1\/7, 0.5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525 * -223\nAnswer: -117075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -191, -133, 11, 283, 725, 1379, 2287?\n\"Answer: 7*o**3 + o**2 + 6*o - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5714705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4 + 2*r + 2*r + 3*r - r**2. Let f be s(7). Differentiate -2 + 0*u + u + f + u with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45136 - 20913. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*q + 2 - 2*q - 3)*(-8*q**3 - 22*q + 22*q) as w*q**2 + f + i*q**3 + m*q**4 + y*q and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3712 = -2*p + 3498, 5*z = 25. Does 67 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -47, -161, -363, -677, -1127, -1737?\nAnswer: -2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 8*p**2 - 11*p. What is d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w + 1. Give b(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*2\/15*-3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.24 + 9. Let f = -11.24 - h. Let k = f + 11.0000035. Round k to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4179\/(-77) - (-1)\/(-4). Let j = -344\/11 - x. What is the common denominator of j and -119\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8626 divided by -19\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125905761*a**4 + 128694001*a wrt a?\nAnswer: 1510869132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8014 - 8001. What is the closest to -13 in q, -1, 1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 - m**2 + m - 2. What is the units digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 6828*s**3 - 834392*s**2 + 6801744*s + 16995616 = 0.\nAnswer: -1822, -2, 11, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(768)*-2) + -1)**2.\nAnswer: sqrt(3)\/8 + 259\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 - 6*p + 7. Let l = -5 + 10. Let v be x(l). What is the first derivative of -2*z - v - 2 + 3 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 413\/187056?\nAnswer: 413\/187056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-300) + 1\/5. Let o = w - 1\/25. Solve 1\/3*r**3 - 2\/3 - 1\/3*r**4 - o*r + r**2 = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -19. Suppose -5*s = -6 - n. Suppose -s*d + 8 = -4. Solve -d*p + 5*p = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110000001 - -1?\nAnswer: -101110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -183*a - 6094. Suppose 49 = 5*r - 276. What is the remainder when v(-34) is divided by r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*b + 112*b - 162 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 944100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6 - 4. Let j be -1 - ((-258)\/3)\/m. Suppose 3*h - j = -2*z, -3*h + 185 = 5*z - z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 7276?\nAnswer: 35\/7276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q - q**2 - 2*q + 2 - 1. What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 348464, 348441, 348418?\n\"Answer: -23*i + 348487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 23*b**2 + 9*b + 52. What is the thousands digit of x(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 65 and 3.5.\nAnswer: 68.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 + 2*n - 2. Let c be l(3). Suppose 3*s - t = 10, c*s + 5 = 5*t - 0. Solve s = -x, 0*k + 35 = 5*k - 2*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w**2 - 7 + 0 + 4 as b*w**2 + r*w + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 - 8*h**3 + 0*h**3 - 4*h**2 + 7*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/311, 1, 0.3, -0.012, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -3. Suppose r = -q - 4*g, 5*g - 5 = 5*q - 0*g. Suppose -65*l = -69*l - 16. Is q at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2850.4 - 2850. Let x = 9.97 - 10. Which is the biggest value? (a) x (b) -3\/2 (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 5*h**2 + h**2 + (-2*h + 0 + 0)*(3*h + 0*h - 2*h) - h**2 - 2 + 2 + 2*h - 2*h - h**2)*(-5*h + 3*h + 3*h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4788*x**3 + 19*x**2 - 5*x - 19. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/15 - -32\/45. Put v, 0, 0.4, -2\/63 in decreasing order.\nAnswer: 0.4, 0, -2\/63, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000228899347 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -146. Suppose -44 + 5 = -s*k. Calculate the remainder when 258 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2.4, 2, 6, -3 in descending order.\nAnswer: 6, 2, -2.4, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - -4 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2. Let o(x) = 104990*x + 432. What is o(p(d))?\nAnswer: -419960*d**2 + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:53 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - i)*(-13 - 5*i + 13)*(-2 - 2 + 3) + (-38*i + 71*i - 17*i)*(0 - 2 + 5)*(2 - 2 - i).\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*x**4 - 68*x**2 wrt x?\nAnswer: -5016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/6 - 6*w**2 - w. Let z be a(12). Suppose -s + 0 + 3 = z. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20742713 is divided by 492.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 + 2*n + 10. Let b be t(-7). Put b, 2, 1 in ascending order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 69, 82?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 24*z - 19. Let m = -9560 + 9563. Give c(m).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**2 + 22*o + 5. Let p be m(-5). Suppose -2*z - 53 = -p. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*x = 15 + 29, 5*y = -2*x + 107. What are the prime factors of -4*y\/(-6) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:01 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - o**2 - 2)*(-26804*o**2 - 9286*o**2 + 51591*o**2) as v*o**3 + l*o + w*o**4 + g*o**2 + t and give w.\nAnswer: -15501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 5. Let c(g) = p*g - 19*g + 8*g. Let w(k) = k**2. Give w(c(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/5*(-30)\/4. Let u = -4 - t. Let n be u + (2 - (-34)\/(-9)). What is the third smallest value in -1, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 1. Suppose 4*y - h - 4 - 8 = 0, 0 = -4*h. Suppose 4*i = -y*g + i + z, g + 2*i = 6. Is g equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 220\nAnswer: 5720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-7)*(60\/294)\/(2\/(-14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w - 35. Let x(m) = 4*m - 17. Suppose -a - 25 = 5*n, -14*a + 18*a = 4*n + 20. Determine n*x(p) + 3*b(p).\nAnswer: p - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/((-4)\/6). Suppose 0 = -3*f - k*f + 125. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + -1*((sqrt(605) - (-5 + (sqrt(605) - sqrt(605)*-3))) + sqrt(605) - (3 + sqrt(605))*-5)**2.\nAnswer: -5845 - 1320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(7\/(84\/24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 4*g + 1. Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 14) to base 8.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*u + 1265 - 813 = -1222 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634379 is divided by 260.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 353056325 greater than 1765281618\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 19*l**2 + 8*l + 20. Give b(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1228710 or 23345463\/19?\nAnswer: 1228710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 203 + 327 = 0. Let d = 1610\/13 - z. What is the smallest value in d, 0.5, 2\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1, 2*z = 3*t + 3*z - 2716. Let f = t + -399. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -22 - 8. Suppose -r*i + 10 = -i, -3*d + i + 10 = 0. What is the third derivative of 4*v**6 + d*v**2 - 8*v**4 + 8*v**4 wrt v?\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 2\/3 (d) -489 (e) 1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j**3 + 13*j. Let t(h) = -12*h**3 - 6*h. Give 6*g(l) + 13*t(l).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17074*q - 13299*q - 765*q + 6909*q to the form r*q + w and give r.\nAnswer: -24229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, -192, 1 in decreasing order.\nAnswer: 217, 1, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.09 (b) 7 (c) -2536 (d) 0.2 (e) -2 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317952 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.002 + 53.\nAnswer: 54.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101300031 + 21?\nAnswer: -101300010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.606 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((315\/(-8))\/5)*(-303)\/(-1212)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76778 is divided by 753.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(72).\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 534294.88 rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 greater than 4\/750127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 6. What are the prime factors of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - t - 1 = 0, -2*t + 7 - 22 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 949\/(-420) - (-10)\/(-50)*-10 and -17\/28.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (20 - (-3 + (-12)\/(-2))) + -3 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.476005 litres in millilitres?\nAnswer: 3476.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(3584\/2016). Which is the closest to -1\/10? (a) q (b) -0.2 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -2.3?\nAnswer: 36.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 52. Suppose 0 = -30*h + p*h + 21. Solve -8 = -r - h*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/35)\/((-2210)\/(-595))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24890 is divided by 24527.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 26, 3, 2 in decreasing order.\nAnswer: 26, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95274 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*f - 281*f + 402*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 1, i: 3, b: 6}. Give prob of sequence qqb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10074 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + (-3)\/9. Let w be 4\/(-9) - (0 + l). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6623 + -6.6623. What is the closest to -1 in -2\/81, f, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57040, -114126, -171210, -228292, -285372?\n\"Answer: h**2 - 57089*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 8*o**2 + 7*o - 8. Let x be r(-6). Suppose -4*f + 14 + x = 0. Let q(j) = j**3 - 8*j**2 - 8*j - 3. What is the units digit of q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/(-21) + 1600458\/35679.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41243853 and 1173.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -98, -162, -228, -296, -366?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.46 to the nearest integer.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594509 and 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - n + 2. Let m be y(2). Let w be (m\/(-3))\/(3\/36). Let a = 233 - 153. What is the highest common divisor of a and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:38 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + 167*f**2 - 69*f - 50. Determine v(33).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 - 295. What is the least common multiple of b and 53?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48039762523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4477 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 - 922*o**3 - 80522*o**2 - 590822*o - 511224 = 0 for o.\nAnswer: -68, -7, -1, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(10\/(-20))\/(-2 - 36\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*u**3 + 3*u**4 + 51*u**3 - 2*u**4)*(-146 + 81 + 8 - 132).\nAnswer: -189*u**4 - 6237*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9623 + 9651. What is the remainder when p is divided by ((-10)\/(-8))\/(3\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:37 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142181477 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + (-3 - (-7 - -5))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -372054 + -507?\nAnswer: -372563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19807.\nAnswer: 29, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4253 by 31055.\nAnswer: -4253\/31055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0823 take away 0.4?\nAnswer: -0.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15379 + 16110. Calculate the remainder when n is divided by 121.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 8*f + 2. Let s = -591 - -594. Let q be c(s). Solve -9 = -q*d + 3*n - n, -2*d = 3*n + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + -1 + 5)\/((-3)\/2553). Suppose 14*a - i = -9*a. Calculate the greatest common divisor of a and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -4. Let k be 1\/(-3)*(s + 4). Let y(c) be the second derivative of c**5\/20 - c**4\/12 - c**3\/6 - 3*c**2\/2 - c. Determine y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1443, 2883, 4321, 5757, 7191?\nAnswer: 8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*k - 4 + 2, -7 = 3*n - 5*k. Is n\/3 - 2464\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from {s: 4, v: 4, t: 5, u: 2, w: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))\/n)**(-49)*n*n**(7\/2)\/n*n*n\/(n*n*n*n\/(n**(-1\/17)*n*n)*n*n*n) assuming n is positive.\nAnswer: n**(-1651\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:29 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - -1) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 65*z - 934. Determine l(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**(5\/3))*k)\/k)\/(k*k\/k**27*k*k)*(k**(1\/5))**(2\/69))**(1\/3) assuming k is positive.\nAnswer: k**(2339\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + (sqrt(1666) + 1*sqrt(1666) - sqrt(1666) - sqrt(34)*-1*4)\/((sqrt(2) + (sqrt(2) + sqrt(2) + sqrt(32))*-4)*6)))**2.\nAnswer: -352*sqrt(17)\/69 + 312932\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*s**3 - 30 - 355*s**3 + 30.\nAnswer: -493*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 3*q + 3. Let g be v(3). Let o be ((-2)\/g)\/(6\/(-18)). Factor i**o + 6*i**3 - 1 - 5*i**3 + 0*i - i.\nAnswer: (i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 36 = 4*p. Let x = p + -5. Solve 4*o = 2*o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1332.\nAnswer: -1\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. What is the nearest to 0 in 1\/4, b, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678789 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6478 + 912 = -11*b. Calculate the highest common factor of b and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175283437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*k + 234 = 0, 0 = -3*h + 2*h + 3*k + 46. Let z = h - 64. Let o(d) = d + 4. Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 809.206ml?\nAnswer: 0.809206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*w**2 - 48\/11 - 50\/11*w.\nAnswer: -2*(w + 1)*(w + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)*-2 - sqrt(60))\/(sqrt(12) - sqrt(1452)*2).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223670874 and 478611.\nAnswer: 671012622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**3 - 3*u + 1\/4*u**4 - 3*u**2 + 8. Suppose -5*r = 5*l + 35, -3*l - l - 28 = -4*r. What is a(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*t - 3237. Let m = t + 1900. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:09 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -62*h + 63*h. Suppose 13 = 3*j + 5*s, -2*j - 3*s + s + h = 0. Let b be (-18)\/(-27)*1\/15. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*k + 311*k - 3*l - 918 = 0, 3*k - 566 = -2*l. Which is the third biggest value? (a) k (b) 5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-13\/2)*p)\/((p*p**(3\/20)*p*p)\/p))**(-23) assuming p is positive.\nAnswer: p**(2599\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28414, 28418, 28422?\n\"Answer: 4*t + 28410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000382796 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 + -145 + 0 + -18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11.9 (b) -87\/65 (c) -0.4 (d) 2 (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 50.68657ug?\nAnswer: 0.00000005068657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83660 and 42535?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*p = -24, -5*p = -2*j - 22 + 3. Let s = j + 19. What is the remainder when (34 - 1)*(0 + 1) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + 0.7. Let x = -5\/12 + 1\/4. What is the closest to 0.1 in x, 2\/3, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416968273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*w - 37 = 22, -w = 3*u - 192. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.788602 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -48, -114, -198, -306, -444, -618?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 1060, 1633, 2204, 2773, 3340, 3905?\nAnswer: 4468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23082 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) - 11\/(-3). Suppose a*x = 7*x - 12, -n - 6 = -x. Let j(q) = q**2 + 5*q + 1. Let i be j(n). What is the nearest to 0.1 in 3, 3\/7, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46808 (base 11) in base 5?\nAnswer: 4130101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z - 3*y, 2*y - 10 = 20*z - 24*z. Suppose 16*q = 2*q + 5*q. Put z, 37, q in ascending order.\nAnswer: q, z, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2))\/sqrt(2))\/(sqrt(196)*-4).\nAnswer: -sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8790*d - 1643733. Determine j(-187).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 s when three letters picked without replacement from {w: 1, b: 1, k: 1, s: 2, g: 2, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((50 - 30) + -21)\/(-1)*-2*23\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39848, 39849, 39850, 39851, 39852?\nAnswer: 39853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 253 = 2*n, -3*n - 562 - 417 = -4*r. Let o = 1726\/7 - r. Let l be 1 - 10 - 4 - -17. What is the biggest value in l, 2\/9, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + 2*u**2 - 73 - 2*u**2 + u**3.\nAnswer: u**3 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*j - 15, -223*j = -224*j + 4*c + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 3. Let l be q(4). Let z be (-12)\/(-8)*2\/l. Suppose -4 + 1 = -3*b. Is b > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196016 and 148.\nAnswer: 7252592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/74))**(-24)\/((p*p**12\/p)\/(p*(p**3\/p)\/p*p*p)) assuming p is positive.\nAnswer: p**(-308\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6*y*y**(-3\/4)*y**22\/(y\/(y**(-5\/6)\/y)))**43 assuming y is positive.\nAnswer: y**(13631\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-5)\/j))\/j**(-2\/15))**(-2\/43)\/((j**(-2\/5))**(-3\/7)\/(((j**(-2\/13)\/j)\/j*j)\/(j**6*j*j*j))) assuming j is positive.\nAnswer: j**(-628246\/58695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45191.7ms to minutes.\nAnswer: 0.753195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -j, -36*j = 5*n - 34*j - 16. Solve 5*z - 24 = n*o - 3*o, -o - 12 = -2*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 79*d - 80*d - 4*s, -s = -0*d - 2*d + 20 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -1 (c) -36\/7 (d) -4 (e) -2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -681?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 14}. What is prob of sequence kdk?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 691.6 + -690.6. Which is the third smallest value? (a) -0.3 (b) -69.8 (c) 0.1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2796*h = 2246*h - 1322*h - 89280 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -6728\/3 - 2\/3*z**4 + 7192\/3*z - 718*z**2 + 124\/3*z**3 = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 + 143. Let p be (-7)\/(x\/(-8))*-3. Solve 5*k = -5*f + 5, 2 = 4*f - p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11133 + 476?\nAnswer: -10435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040 is divided by 61.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10304 is divided by 684.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(300)*-3 + 2)**2*5.\nAnswer: -600*sqrt(3) + 13519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151628*c**2*k - 33*c**2 + 856*c wrt k.\nAnswer: -151628*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/193231722 and -79\/322052870?\nAnswer: 966158610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/13 + 1682*n**3\/13 + 10020*n**2\/13 = 0?\nAnswer: -835, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.35941 * -0.06.\nAnswer: -5.7215646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 13*c + 14. Determine n(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4515\/42)\/43*8\/(-410)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {s: 1, y: 2, j: 1, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 368, 326, 262, 176, 68?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9858 rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 51*y - 253. Let n be u(5). Suppose 2*g - 10 = 3*r, 0 = n*r - 10 + 2. Calculate the remainder when 141 - (3 - (-4)\/(-2)) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuu when three letters picked without replacement from uwuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 783949339 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 61.707487.\nAnswer: 13.57564714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 2, e: 1, l: 4, t: 2}. What is prob of sequence tp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7737294ml to litres.\nAnswer: 0.0007737294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 67 - 82. What is the nearest to 0.1 in i, -0.4, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*i + 5*r, -9 = -4*i - 52*r + 51*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 19. Determine u(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -10. What is the remainder when 19\/(-2)*(-4)\/1 is divided by (-4)\/(-5)*100\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/k**(-1\/7))\/k)*k*k**3*k**(3\/2)\/(k\/(k*k*k**(-6))*k*k) assuming k is positive.\nAnswer: k**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 1 - ((15 - 33) + 8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -34*r - 1. Let s be -2 - 1*(-3 - -2). Let f be c(s). What is the second derivative of -y - 29*y**3 - y + f*y**3 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -2, -5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12046 and 7291.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 17*p - 5 - 10 - 6.\nAnswer: 17*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65167891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1368375*c*m**3 + 3*c*m**2 - c*m - 1093*c - 475*m**2 wrt m?\nAnswer: 8210250*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -264 * 0.624.\nAnswer: -164.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -26. Let j = 0 - -2. Suppose -5*t + 17 = -3*n, -n = 4*t - 5*n - 12. Solve 8 = 2*x - 3*x - t*d, j*d = -o*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1957 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -68460000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + h**2 + 307 - 2*h + 98 + 548 + 10 as u + q*h**2 + z*h and give u.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 36 = 4*j, 2*q + 2 = -2*j. Suppose u - 4*t = 18, -u - q*t - 13 - 1 = 0. Let a be (0 - 0)\/(2\/u). Solve x + a*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*g = 38, -3*n + 15*g = 14*g - 43. Suppose -5*t + 130 = 4*w, 5*w + 27 = t - 28. What is the greatest common factor of n and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-148)\/(-10))\/((-195)\/(-75))?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/7))**(14\/3))**(-2\/31)*(l*l**(-1\/2))**14\/(l\/(l\/(l*(l*l*l**(2\/7)\/l)\/l))*l**(-3\/7)) assuming l is positive.\nAnswer: l**(3859\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by 2.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 31828 = 5*x, 16*c + 2*x = 13*c + 47720. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/12 - 5*m**4\/3 - 8*m**2 - 41. Let t(f) be the second derivative of l(f). Find n such that t(n) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:58 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -561345, 1\/3, -4\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.7 - 14. Let r = -3.40514 + 2.70514008. Let v = w + r. What is v rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4626875 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*h = -1, -3 = u + 7*h - 11*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*o - 80*o + 98*o)*(o**4 + 0 + 0).\nAnswer: -46*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 3662659?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550864480 divided by -44?\nAnswer: 35246920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1521 = 19*y - 3875. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*u**6*x - u**6 + 11*u**3 - 3*u**2*x + 22*u**2 + 5*x wrt u?\nAnswer: -5160*u**3*x - 120*u**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 7*p = 40. Let u be (-5)\/(1 - p\/(-36)). Calculate the highest common divisor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 5, l: 6, i: 1}. Give prob of picking 2 q.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l - 4080. Let z = l - 727. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001747890776 to seven decimal places.\nAnswer: -0.0017479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -705*w - 5. List the prime factors of b(-5).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 308, 687, 1218?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17138920*a**2 - 5279798*a wrt a?\nAnswer: 34277840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 3. Solve -2*v + q = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 0*y**7 + 0*y**3 - 1\/12*y**4 + 0*y**6 + 0*y**5 + 3\/56*y**8 - y + 0*y**2. What is the third derivative of v(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961191143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 2. Let c(b) = 32*b - 133. Let p(x) = -c(x) + 3*q(x). What is the units digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83420, -166841, -250262?\nAnswer: -333683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, t: 1, w: 1, c: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 674 - 529. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1084 (base 13) to base 4\nAnswer: 210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -21. Let y(o) = o**3 + 4*o**2 - 8*o - 7. What is y(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 523*g**2 + 246*g + 3753. Give c(261).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from rknyb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 7\/6, 0, -415, 5, 2\/7?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*j + 0 + 1\/2*j**2.\nAnswer: j*(j + 184)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 2. Suppose 0 + 6 = 3*v. Suppose v*k = -2, 0 = 2*g - 7*g + k - 24. Which is the closest to z? (a) -2\/7 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -2.514.\nAnswer: 2.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -5*q**8\/336 + 13*q**7\/70 + q**4\/6 - q**3\/2 - 185*q**2 + q. Find the second derivative of h(v) wrt v.\nAnswer: -100*v**3 + 468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 521 + -454.8. Let k = f + -5.2. Let u = -60.999922 + k. What is u rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -755c71b - -2?\nAnswer: -755c719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12663?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 741 - 561 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-672)*294\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.321253*-1.\nAnswer: 2.321253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from awnwa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 - 185 = 3*i - 4*f, 18 = i + 2*f. Solve 17*n + 4*w + 48 = 24*n, -n - w - 1 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 3*u**2 - 4*u. Let m be g(-3). Let w = -4 + -6. Let y be w\/(-4)*(-16)\/(-5). Solve -y = 2*x, 2*h + 2*x - m = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14448 + -14435. Suppose n - 4 - 7 = 0. What is the remainder when g is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y + 51. Let r be i(-7). What is the remainder when 38 is divided by 8\/6*r + 10\/(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 1556909910.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -48, -4, -12\/5, -0.2, 2\/7 in ascending order.\nAnswer: -48, -4, -12\/5, -0.2, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -60331269?\nAnswer: -60331267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 758747031 to the power of 1\/2, to the nearest integer?\nAnswer: 27545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/1029 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w. Let n(y) = 165*y. Let d(a) = -44*i(a) - 3*n(a). Let v be d(-3). What is the common denominator of ((-17)\/(-2))\/(v\/(-6)) and 4\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 3*a**5\/80 - a**4\/16 - a. Determine h, given that t(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + (-15)\/25*-5. Solve 0 = 2*u + 5*z, 3*z + 2*z = -d*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.066 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/3 - 52*l**3 + 576*l**2 = 0. What is l?\nAnswer: -48, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14892 rounded to 3 dps?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 15\/1207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.76 - 0.23. Let b = -0.03 + n. What is the nearest to -1\/3 in -2\/9, b, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*m + 22. Let l be ((-224)\/21)\/(m\/(-6)). Solve -2*y = 4*p - 0*p - l, -5*p = -25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(304)*-2 - sqrt(304)) + sqrt(304)*-1 + 0)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3 + 2*c + 17 - 4*c - 14 + 4*c. Let g(r) = -1 + 1 + 61*r**2. Determine g(a(k)).\nAnswer: 244*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*d)*(4 - 4 + 25*d**2) + (d**2 + d**2 - 5*d**2)*(-d - 3*d + d) to h*d**3 + v*d**2 + q + r*d and give h.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3*j**3 + 0*j**3)*(2*j - 37 + 38 + 3*j) + j**4 + 3*j**2 - 3*j**2.\nAnswer: -9*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.35732km to meters.\nAnswer: 1357.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -1584, -2323, -3030?\nAnswer: -3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/8677 - -138826\/26031. Let g(m) be the second derivative of z*m**3 + 0*m**4 + 31*m + 0*m**2 - 13\/10*m**5 + 0. Find the second derivative of g(s) wrt s.\nAnswer: -156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239027\/20 + -11948. Find the common denominator of w and 29\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2805\/34*12\/9. Solve 0 = r - 109 + a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*k - 564, 13*k + 17*f - 1458 = 18*f. Calculate the greatest common factor of k and 9576.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2473 + 1417. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(1\/3)*k*k))**(-50)*k**(-4\/5)*k**(3\/2))**(-7) assuming k is positive.\nAnswer: k**(-24647\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 5. Let f = -6.2 - -0.2. Let j = f + x. Which is the second biggest value? (a) -3 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {j: 1, h: 4, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b - b - 2*b**2 + 0*b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73841 + -6?\nAnswer: 73837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41 (b) 1 (c) 0.2 (d) 2\/5 (e) -4 (f) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 7. Let p be (-1 - -3)\/((-1)\/(-2)). Let u be 0 + p - 4\/j. Solve -u*i - i = 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from rhhxrjkjjkrjhr.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 114?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -82. Let g = -99\/4 + h. Let z = 0.5 - 0.3. What is the second smallest value in g, 2, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6075 (base 9) to base 7\nAnswer: -15644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeu when three letters picked without replacement from tfuettu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14747\/3 or 4915?\nAnswer: 14747\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -146?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, 6649, -10, -596 in increasing order.\nAnswer: -596, -10, -4, 1, 3, 6649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*374204.6\nAnswer: -748409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggr when three letters picked without replacement from {l: 4, x: 1, g: 9, r: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, -11, 34, 2, 298 in increasing order.\nAnswer: -24, -11, -2, 2, 34, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155790811 is divided by 2161?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 808679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.1 - 10.92. What is the nearest to s in 2, -1\/3, -2\/9, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -40*m**2. Let r(n) be the first derivative of -15*n**2\/2 - 3437. Calculate c(r(s)).\nAnswer: -9000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa2 + -9bc?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let q(a) = a**3 - 7*a**2 + 6*a + 4. Let f be q(6). Let r(v) = -6*v**2 + 3*v**2 + f*v**2. What is d(r(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*t + 6, -3*t - 117*v = -115*v - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 0*y)*(y + 17*y**3 - 4*y**3 + 2*y**3).\nAnswer: 15*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3136407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -61\/6*v**3 + 0*v**2 + 27 - 1\/20*v**5 + v - 19\/6*v**4. What is the second derivative of o(j) wrt j?\nAnswer: -6*j - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-1 - (-10 + (-51 + 55 - (-4 - 2))))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-494)*26\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -440\/21 + 62\/3. Let z = -0.05 - 1.95. Put a, 0.1, z in increasing order.\nAnswer: z, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-8)\/(-6) - (-362)\/(-6). What is the remainder when 42 is divided by (-1)\/((-4)\/t*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -2\/5 (c) -25 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16436790 and -143\/9180?\nAnswer: 32873580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -14*w**2 + 2*w. Let b(g) = -11*g**2 - 5. Let m(s) = -17*s**2 - 8. Let q(c) = -8*b(c) + 5*m(c). What is z(q(p))?\nAnswer: -126*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + 1218\/(-580).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64542131?\nAnswer: 79, 101, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 329. Calculate f(26).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + -8 - (-4 + -11 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*j = 86 - 88, 0 = 5*g - j + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 93. Let p = -17 + 28. What is the remainder when g is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.6. Let o = w + 0.1. Let k = 0.064 - -0.236. Which is the smallest value? (a) o (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1902, 1907, 1916, 1929, 1946?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 * -4.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*75\/(-10). Let j(d) = -6*d**2 - 2*d + 5. Let g(n) = -7*n**2 - 2*n + 6. What is i*j(z) + 4*g(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 9\/(-6)*2. Suppose -69 = -y*f + 26. Let w = f + -9. Solve n + w = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5502, -11016, -16528, -22038?\n\"Answer: o**2 - 5517*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*g + 19 = 0, -3*p = -2*g - 2*g + 6. Let u(t) = -18 + 5 - 5 - p*t + t. Let k be u(-10). Is -9 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y*y**(2\/15))\/y)\/(y**11*y)*(y**(-5))**(-4\/13) assuming y is positive.\nAnswer: y**(-1624\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(-2 + sqrt(2057)).\nAnswer: -66*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325296753 or -325296752?\nAnswer: -325296752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7646 (base 11) in base 14?\nAnswer: 396d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:07 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/20*4\/30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 20*x + 10*x + 1 - 1 - 2*x + 0 + 0 - 2*x + 6*x - 3*x - x + (2*x - 3*x + 3*x)*(3 - 3 - 2) - 117 + 117 + 2*x.\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 645 + 2171 - 83*i**2 + 2*i + 4205 - 15*i**3 + 2429 + 38*i**2 with respect to i.\nAnswer: -45*i**2 - 90*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - j)*(145*j**3 - 145*j**3 - 4*j**4) + 2*j**5 - 2*j**5 - j**5 + 5 - 2*j**5 + 3*j**2 - 5.\nAnswer: -11*j**5 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/1 - (118534\/5917 + -46)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 0.3, 1154 in ascending order.\nAnswer: -3\/13, 0.3, 1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 228*s. Let x(j) = -9*j**2 - j - 65. What is g(x(c))?\nAnswer: -2052*c**2 - 228*c - 14820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 18*s**2 + 18*s - 17. Let u be k(-17). Let i = -32 - u. Suppose -m + i = 2. Solve m = -9*g + 5*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98\/6 + (-2)\/(-3). Suppose 0 = 178*b - 61*b - 1989. What is the highest common factor of b and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 16 = -t, 3*t + 0*y + y + 20 = 0. Let r be t\/(-1)*15\/18. Solve -3*o + 7 = r*f - 9, 2*f = -3*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:14 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5acca7 (base 14) in base 8?\nAnswer: 13667543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-95)\/(-3) + 3\/9. Let h be 2\/(-7) - (-15)\/(-21). Let f be 1*h + 36\/n. Which is the closest to 1? (a) f (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/159*27\/243)\/((-11)\/(165\/(-10)))?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -276, -312, -382, -498, -672, -916, -1242?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(sqrt(76) + sqrt(76)*-2 + sqrt(76))*-3)\/(sqrt(484)*2 + 3*(sqrt(64) - sqrt(4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 1111111000101?\nAnswer: 1111111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.033 + -0.927. Let p = r + 0.9639. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 9 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1449815*r**3 - 2015*r**2 + 139*r.\nAnswer: 8698890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 2*i**3 - 3*i**3 + (2*i**2 - 4*i**2 + 5*i**2)*(3*i - 2*i + i) as f + o*i**3 + j*i + m*i**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 3*l + 6. Let j be o(-4). Let p = j + 2. Let w = p - 41. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40360477 divided by -20.\nAnswer: -40360477\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 6135?\nAnswer: 6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k*k*(k\/k**11)\/k)\/k)\/k**7)\/(k**(2\/5))**(-11\/6))**17 assuming k is positive.\nAnswer: k**(-3638\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let n = -4272 - -4274. What is the second smallest value in n, 4, m, -35?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 39. Suppose -c*t + 20 = 4*k, -4*k - 2*t + 3*t = -8. Solve -2*x - 4*y + 4 - 18 = 0, 0 = 3*x - 2*y - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1 + 348\/(-21) + 27.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1349127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let x be (-137)\/c + 8\/(-12). Calculate the highest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 + 4*t + 5. Let z(s) = 2*s**3 - s**2 + 3. Let b(a) = 3*y(a) - 2*z(a). What is b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(-3 + 146181\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8108984 and 1133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aak when three letters picked without replacement from kaaka?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 265\/3. Let n = 1.636 - 0.636. Which is the fourth biggest value? (a) -1\/4 (b) n (c) 0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -2\/9, -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, h: 2, u: 6}. What is prob of picking 1 r and 2 h?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/32769 and -46\/294921.\nAnswer: 294921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j**2 - 3. Let t(n) be the second derivative of -17*n**4\/12 - 5*n + 20. Give i(t(z)).\nAnswer: -4335*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302.3 * 0.02.\nAnswer: -6.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -117*b**3 + 2*b**2 + b. Let n(r) = 10*r**2 - 1. Let t be n(1). Let s be (2\/(-3))\/(6\/t). Is q(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 45*z. Let s be (-4 + (-484)\/(-154))\/((-2)\/(-21)). Calculate m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5162713.\nAnswer: -3\/5162713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (5 - 10)) + (-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 4)*(p - 2*p + 2*p + (1 + 4 - 6)*(-p + 2*p - 2*p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4980*m - 4972*m + 9948*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2. Let m(h) = 2*h - 116 + 136 - 43. What is s(m(p))?\nAnswer: 12*p**2 - 276*p + 1587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 - 2*i - 3. Let g be a(9). Suppose 0 = -16*h + 11*h + g. What is the smallest common multiple of h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/22 + 30\/(-44)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4813580 and -225.92.\nAnswer: 4813354.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 5. Let z = -9.7 + c. Sort 0.4, z, 1\/6.\nAnswer: 1\/6, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193595327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -748, -745, -748, -763, -796, -853, -940, -1063?\n\"Answer: -v**3 + 3*v**2 + v - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {i: 10, l: 4, u: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b + 362. Let c = -2665 - -2677. Give n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 18\/24*-4 - -94. Calculate the highest common factor of 130 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + p + p - 3 + (6*p - 4*p - 4*p)*(3 - 1 - 5) + 732*p + 341*p + 182*p.\nAnswer: 1263*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.15062 * 9\nAnswer: -1.35558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:06 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039787 rounded to six decimal places?\nAnswer: -0.000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**15*n*n**(-5\/3) assuming n is positive.\nAnswer: n**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 21*d - 2212. Let c be (-2 - 1) + 0 + d + -4. What is the highest common factor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1029) + -2*sqrt(1029)*-1 + sqrt(1029)))\/(sqrt(3) + sqrt(36)\/(sqrt(12) + sqrt(36)\/sqrt(3)) + (sqrt(189)\/sqrt(7) + sqrt(27))\/sqrt(9)).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/639961, -4, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 19*x**2 - 8*x + 8. Let v be i(19). Let j = v - -106. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let j(m) = -m**5 + 24*m**2 - 122*m. Let x(n) = j(n) + 6*t(n). Find the second derivative of x(l) wrt l.\nAnswer: -20*l**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/95 + 8\/5 + -2. What is the second smallest value in -2\/19, d, 55, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10992.95027 - 10993. Round p to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -150. Factor 5*t**d + 110*t**2 - 70*t**2 - 3*t**4 - 60*t - 2*t**4.\nAnswer: -5*t*(t - 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 - 1004 = -15*s. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-35)\/15) + 13\/(-3). Let t(c) = 6*c + 25. What is the least common multiple of t(p) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101 (base 2) to base 16.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56273730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 548285.4 millennia?\nAnswer: 6579424800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 54 + 5*j**2 - 54 - 571356*j + 571356*j.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 200\/3*p + 2\/3*p**2 + 5000\/3 = 0. Calculate p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 59. Let j = v + -14. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7812792*d**6 - 7897*d**2 - 423*d + 2 wrt d.\nAnswer: 937535040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 13*p - 38)*(-23718 + 161*p + 23718)*(5 - 4 - 3).\nAnswer: -4186*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g + 4. Let u be k(4). Suppose 2*q = -5*i + 2*i - 19, i - 17 = q. Let l = u + q. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10531 - 10526. Solve 35 = 4*z + z + o*i, 5*z + 3*i = 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 322116?\nAnswer: 322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 5*d + 2. Let f be s(3). Suppose 5*h + 2*k - 8 - 11 = 0, 0 = 3*h - 2*k - f. Suppose -2*q = h*q - 10. Solve m + q = -3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 5*c + 2*c + 3*c**3.\nAnswer: 2*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 - 3*f**2 + 4*f + 2. Give b(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90879295 + 1746191\nAnswer: 92625486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -937079\/146 + 6418. What is the common denominator of v and ((-279)\/(-48))\/(1\/(-4))?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 13 + 17 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and ((-710)\/8)\/(14 + 452\/(-32)).\nAnswer: 19170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/138 and 157\/1380?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. Let z(r) = -r**3 - 5*r**2 + 2*r + 6. Let t be z(d). Let y = -1 - t. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 14*j**2 + 8*j + 132. Let x be q(-14). Let c be 512\/20 - 12\/x. Solve -4*l + 9*l = c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/4 - 38193*h**3 + 2920082205*h**2\/2 - 102018450127*h + 402233788869\/4 = 0.\nAnswer: 1, 69, 76351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(2736) + -1 + sqrt(2736) + 0)*3)**2.\nAnswer: -10800*sqrt(19) + 2462627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - w**2 + w**2 + (4*w**2 + w**4 - 4*w**2)*(-w + w + w) + (5 - 3*w - 5)*(-7*w**4 + w**4 + 4*w**4).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.049 + -0.049. Let b = -6 + t. Let f = b - 31.14. What is f rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let p = -0.4 + 0.6. Let g = -0.02 - -2.02. Sort p, d, g.\nAnswer: p, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 0) + (43\/9 - 34\/(-153)). Which is smaller: 1\/216 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300387\/112 + -2682. Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 9 + -22 + 13 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 44152d?\nAnswer: -441545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -736 or -16948\/23?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-70))\/(2\/12). Let m(y) = -y**2 + 2*y - 2. Let i be m(2). Let k be i + 2\/1 + -3. Which is the nearest to k? (a) -0.2 (b) -2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 4. Calculate n(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492369984 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 3584?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 41*u + 24. Let x = -111 - -91. Let p be w(x). Solve -n + b = p*b - 17, -4*b = -16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-5))\/((-2)\/62). Suppose -b = 4*m - 5003. Suppose -5*n + 1030 = -5*y, 5*n - y + 217 - m = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 22. What is w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 802466 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2173836 and 1176.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 89, -2, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - d + 2*d + (1132 + 88 + 133)*(-5*d + 5*d + d) + (3*d + 0*d - 5*d)*(4 - 2 - 3).\nAnswer: 1354*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9703, -9697, -9691, -9685, -9679, -9673?\nAnswer: -9667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 17*m - 9. Let l(r) = 4*r - 2. Let a be ((2\/(-7))\/((-110)\/(-154)))\/(1\/(-45)). Give a*l(q) - 4*p(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194912006674 - -194912003693.72862067. Let i = -2978.61138 - h. Let s = 1.66 - i. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2317 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-5)\/(-35)*(-84)\/(-24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 206 - 28 + 26 + 143 + 5*d**2 - 57 in the form t*d**2 + y*d + p and give p.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29543159.5 from 28.\nAnswer: 29543187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23326783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - j**2 - 3*j. Let t be p(-1). Let x = 44248\/231 + -1340\/7. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 2 - 2 - 9. Let v(h) = 5*h - 14. Let x = -7 - -4. Let y(z) = x*v(z) + 4*p(z). Give y(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*o - 137784 + 137257 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - -3.178.\nAnswer: 3.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 1 z when three letters picked without replacement from adzdvaadlzzddd?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811278937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3 - 6*f**2 - 7*f = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -19) + -9 - (8 + 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -106. Let m = a + 113.00106. Round m to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -15 - 2) + 9 + -4 + -49?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11335.49 centuries?\nAnswer: 113354.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.59 - -0.69. Does -6.8 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 18. Suppose m + 5*b = 782, m - h*b - 152 - 621 = 0. Suppose -2*x = -5*x + m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545806169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 9*z**2 - 8*z + 12. Let d be b(-6). Calculate the highest common factor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932 divided by 233.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 154?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 211961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10*r = 158. Let i = 318 - r. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 236\/177*9\/2. Solve 0 = u + 2 - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 3*b)*(1 + 1 - 4) + 3*b - b - 3*b - 2*b - 4*b + 5*b + (b + 2*b - 5*b)*(-3 + 7 - 3) + 0*b + b - 2*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 26*f**2 + 5*f + 56*f**2 - 32 - 30*f**2.\nAnswer: 52*f**2 + 2*f - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1474, 5\/61, 0.02 in decreasing order.\nAnswer: 5\/61, 0.02, -1474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**3\/3 + 3. Suppose 0 = i + 4*h + 11, i - 6 = 3*h + 4. Let q(w) = -2*w**2 - i + 1. Give q(a(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 3*d + 4. Let c be a(4). Let n(w) = w**2 - 34*w + 27*w + 4 - 1. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose 0 = -3*t - 3*r, -t - 14 = -4*t + 4*r. Calculate the remainder when t is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 5*m**3 + 25*m**2\/2 - 14. What is the second derivative of d(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let n(s) be the first derivative of 15*s**3 + 2. Give n(g(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1338935175 to the nearest integer?\nAnswer: 36591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:28 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.492 - 0.992. Let h = 7.3 + -7.4. What is the smallest value in 4, v, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**7\/35 + 31*a**6\/360 + 31*a**3\/3 - 12. Let f(z) be the third derivative of q(z). Find the third derivative of f(b) wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 35 = 14*q - 19*q, 32 = -5*h + 4*q. Let w(n) = -n**2 - 5. Let f(g) = -g**2 - 4. Determine h*w(s) + 5*f(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-426)\/(-21) - (-6)\/(-21). Suppose 4*l = r, 8*i + 175 = 3*i + l. What is the tens digit of (1*6)\/((-4)\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/2 + 3*w**3 + 5*w**2\/2 + 3*w. Let n(d) = -15*d**2 + 45*d + 12. Let k(p) = 5*n(p) - 12*v(p). Factor k(c).\nAnswer: -3*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 2 - (6 + (-23 - 23))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(-6 - 2 - 3) + 2*b - b + 0*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2600 - -2721. What is the least common multiple of 99 and g?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - 6*w + 2. Let c(o) = -o**3 + 3*o - 2. Let k(l) = l**3 - 4*l + 3. Let g(i) = 3*c(i) + 2*k(i). What is 5*g(d) + p(d)?\nAnswer: d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, x: 2, f: 4, u: 5, z: 4}. Give prob of sequence uxqu.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.0528ug in tonnes?\nAnswer: 0.0000000004160528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 783*y**2 + 2089*y**2 - 10*y**3 + 2825*y**2.\nAnswer: -10*y**3 + 5697*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 697. Let d(c) = 3*c + 310. Let q(t) = -9*d(t) - 4*k(t). Let p(s) = -52*s**2. What is p(q(j))?\nAnswer: -468*j**2 - 624*j - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/2 (b) 0.4 (c) 15 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 49*r**3 - r**2 + r. List the prime factors of m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3168)\/(-154))\/(-4))\/(3\/(-14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 924\/(-46) - (-4)\/(-276)*-6. Let q be v*(8 + (-297)\/36). Let j(z) = -z**3 + 5*z**2 - 2*z. Let d be j(4). Sort q, 2, d in descending order.\nAnswer: d, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.9 - 173.1. Let v = -187 - i. Which is the third smallest value? (a) -2 (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from kaakakkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-11)\/(50\/260*308\/(-420))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 58176.\nAnswer: 11\/29088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.228*0.084.\nAnswer: -0.019152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 3*a + 7*a + 3)*(-7 - 3 + 5)*(-4 + 0 + 2).\nAnswer: 30*a + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7\/4)*o)\/o)\/(o**(3\/7)\/o)*(o\/((o*o\/o**(2\/27))\/o))**(-4\/17) assuming o is positive.\nAnswer: o**(-15371\/12852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -475, -470, -463, -454, -443, -430?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.307614 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from fffffffffdffffffdf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 291448*c\/5 + 10617742088\/5.\nAnswer: 2*(c - 72862)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 a when three letters picked without replacement from {k: 8, a: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/12 - 13\/6. Let f = 0.2 + -2.2. Let i = 150497 - 150500. What is the smallest value in g, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2204003 + -0.3.\nAnswer: -2204003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j + 1. Let d(l) = 6*l**2 - 9*l + 5. Let n(h) = -d(h) + 5*o(h). What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59760 and 4080?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102220210021120 + 2?\nAnswer: 2102220210021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -7 (c) -4260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(4\/7)*p)*p**(-2))**(-2\/29))**(-6\/13) assuming p is positive.\nAnswer: p**(-216\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-10))\/((-10)\/12 + 1). Sort g, 2\/3, -3 in decreasing order.\nAnswer: 2\/3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4116608, 4116611, 4116614, 4116617?\n\"Answer: 3*v + 4116605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/33 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 18*i - 8 = 0. Let m = 110 + -127. Put m, i, 0, -4 in increasing order.\nAnswer: m, -4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156\/201 at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 55*q - 767. Determine w(-65).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 6. Suppose c*f - 6 + 0 = 0. Suppose -4*h + 0*h + 4677 = 4613. Solve -2*g = f*g + h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(405)*-2) + 5)**2.\nAnswer: 1080*sqrt(5) + 58345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5864 (base 12) in base 7?\nAnswer: -40525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*o - 22650 = 10*o + 14258 - 3952 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134877863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(2*sqrt(77))\/sqrt(11) + -2)*-3*2)**2*-3.\nAnswer: -313200 - 43200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3115 and 623?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10055 is divided by 279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22822, -46133, -69944, -94255?\n\"Answer: -250*d**2 - 22561*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 1, a: 1, x: 1, g: 3, c: 3}. Give prob of sequence aq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 682*n - 177*n + 7*n - 2.\nAnswer: 512*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (580334\/(-120) + -2). Let k = -4835 + s. Calculate the common denominator of k and -25\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) 0.4 (d) 212.073 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76700.96 millilitres?\nAnswer: 76.70096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9163 - 0.0837. What is the third smallest value in 0.2, -0.5, 9, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 54*w + 58*w - 3 = 0, -3*u + w = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a7 + 17670?\nAnswer: 17a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = h. Suppose 108 - 8 = h*u. Suppose -2*z - p + 0*p - 3 = 0, u = -5*z + p. Put z, 5, 4 in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5288 + 448 = 178*z - 1973 - 9557 for z.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.896957685 to 4 decimal places.\nAnswer: -2.897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 663.9 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 284?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*j + 220008 = 0, -s - 5*j = s - 220010. Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682493.\nAnswer: 3, 29, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556623.6us to seconds.\nAnswer: 0.5566236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3 + 3)*(20*o - 57*o - 19*o)*(-398 + 398 + 11*o**2).\nAnswer: 1232*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 - 5853*q + 144526. What is j(24)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.28923 milliseconds in seconds?\nAnswer: 0.09028923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1182020731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 - 216*a + 612 = 0?\nAnswer: 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/165 and 1\/78.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 1\/60*n**5 + 0 - 15*n + 0*n**3 - 1\/24*n**4 + 1\/12*n**2. Determine q, given that j(q) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 38. Let c be i(-22). Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3734679.\nAnswer: 3, 13, 17, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 4*q + q)*(2*q - 4*q + q) + 3*q**2 + 2 - 3 + 2*q**2 to s*q**2 + t + h*q and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, -16 in descending order.\nAnswer: 1, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((c\/c**(4\/5))\/c)\/c)\/c)\/c*c**(3\/4))**(14\/3))**(-42))**(-1\/10) assuming c is positive.\nAnswer: c**(-2989\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0. Let w = n + 0.1. Let t(x) = -x**2 - 6*x - 4. Let f be t(-6). Which is the closest to -1\/5? (a) 4 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 9.058.\nAnswer: -0.9058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))\/r)**(-2\/15) assuming r is positive.\nAnswer: r**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -45*g - 2385. Calculate n(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -106470 divided by -35490?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let n be (q - -2) + 2 + 2. Suppose 0 = 2*v - 9 - n. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g + 12. Let w be x(-11). What is the highest common factor of w and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 425, 1647, 3683, 6533, 10197?\n\"Answer: 407*x**2 + x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -93213*z**2. Let n(u) = 9*u. Give v(n(g)).\nAnswer: -7550253*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(8\/5)*2. Suppose -10 = -3*h - 2*h. Differentiate i + 5 - h*o - 4 - 2 with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3420\/13, -0.3, -7, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -334, -524, -738, -982?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000433770877 rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -17. Let f(x) = 5*x + q*x**2 + x**2 - 6*x**2 + x**2 - 1. Let b be f(4). Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8435\/(-315) - -35 - 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose 10 = -g*z + 5*z + h, z + 3*h = 4. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -25.52. Let a = s - -0.02. Let q = -29\/2 + 89\/6. Put 4, q, a in ascending order.\nAnswer: q, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*b - 18, 4*b - 6*b = -3*h - 2. Suppose 0 = -3*t + h*t + 6. Suppose -t = -2*j + 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 34*p + 169524. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32938, 66074, 99304, 132676, 166238, 200038, 234124?\n\"Answer: 8*c**3 - c**2 + 33083*c - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1 - ((-10 - 6) + 9)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/4 (b) -0.5 (c) -1\/6 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {d: 8, l: 7, q: 3}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (13 - (-33 + 8) - 12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*v)*(-v**3 - 3*v + 3*v) + 20429*v**4 + 3 - 1 - 20432*v**4 + 5523*v**2 as r*v + w + f*v**3 + j*v**4 + l*v**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1001010?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/21 - 4817*z**5\/20 + 599*z**4\/2 + 514*z - 1. What is the third derivative of y(g) wrt g?\nAnswer: -120*g**2 - 28902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -94, 2, 246 in increasing order.\nAnswer: -94, -39, 2, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6566\/3 - 6562\/3. Which is the nearest to 0.1? (a) y (b) 66 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218342 a multiple of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:42 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(2\/12). Suppose 0*q + a*q - 3*n + 3 = 0, 2*n = 3*q + 7. Let r(f) = -f - 4. Let s be r(q). Is -1\/4 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(194\/6 - (-4)\/6). Let m = -33 + k. Suppose -2 = 5*b - 4*x - 12, -5*b = 5*x + 35. Sort m, 5, b in increasing order.\nAnswer: b, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 2 k when four letters picked without replacement from qrxqrqrkqqrmxmqrrkx.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9718 - 82?\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -144 - (110 + -103 - 23)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-48)*4\/6. Which is the closest to -2\/5? (a) 4 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 3*c - 24, u = 4*c - 15. Let w be -1 + 5 + (89 - u). Suppose 5*t - w - 114 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1, 1\/6, -3.5, 0.1 in decreasing order.\nAnswer: 1, 1\/6, 0.1, -0.6, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j + 13. Calculate q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + a + a, -5*u = -4*a. Suppose 5*x - x - 4 = u. Suppose 4*f - x = 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 4*t**2 + 19*t - 6. Let w be s(-7). Suppose -m - 2*v - w = -7, -5*v + 3 = -3*m. What is the second biggest value in 2, m, 4\/7, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 3*y**2 - 2*y**2 + (349*y + 214*y - 96*y)*(-5*y + 2*y + 0*y) in the form h + v*y + q*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5696391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.12145135 to two dps.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.1 in -4, 3, -3, 3722?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -6*u**5\/7 - 254*u**4 - 54034*u**3\/7 - 16038*u**2\/7 + 7720*u + 17816\/7 = 0.\nAnswer: -262, -34, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17050159 or 0?\nAnswer: 17050159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160 and 117268750?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 661, 691, 741, 817?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 - 26*i + 8. Let x be h(-8). Suppose 11*y - x = 15*y. Let u be -8*3\/y + -1. Which is the smallest value? (a) u (b) 4\/5 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8062.\nAnswer: 2, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((1 - 2) + (-8 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j + 0*j - 432*j**4 - 123 + 10*j - 153*j**4 wrt j?\nAnswer: -7020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 36 = 11. Is g less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010074811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11923, -23619, -34851, -45385, -54987?\nAnswer: -63423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1158199 >= -1158199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36098 + 3863. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 37. Let a = 26 - n. Let q = 23.9 + a. Put -0.5, q, -1 in decreasing order.\nAnswer: q, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53328 millennia in years?\nAnswer: 2533.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.95 + 0.05. Let g = 1 - 1. Let i = g - s. Is i >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 164. Let p(n) = 948*n**2. What is o(p(h))?\nAnswer: 948*h**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 5\/2*s**3 + 0 + 0*s**2 - 3*s. Let k be p(2). What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/7)\/((n*(n**3\/n)\/n)\/n))\/((((n*(n\/(n*n\/(n**1\/n)))\/n*n)\/n)\/n)\/n)**18)\/((n*(n*n**(1\/4))\/n)**35*(n**(2\/7))**10) assuming n is positive.\nAnswer: n**(163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 199728 and 363072?\nAnswer: 1510742592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 35*c**3 + 11*c**2 - 3*c + 11. Suppose 13*u - 10 = 8*u, 18 = 3*n + 3*u. Let p(h) = 12*h**3 + 4*h**2 - h + 4. Calculate n*q(f) - 11*p(f).\nAnswer: 8*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -64*x + 24. Does 24 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 + (-1 + sqrt(242) - sqrt(2))**2.\nAnswer: -44*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.984 - -43. Let y = 3.984 + q. Let o be ((-64)\/392)\/(2\/(-7)). Which is the nearest to o? (a) y (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175798070 to the power of 1\/2, to the nearest integer?\nAnswer: 13259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 6ff367a?\nAnswer: 6ff3678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 7*w + 2*w - 14, 4*w - 72 = 4*o. Let y(d) = -27*d - 95. Let q be y(o). Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 3*l**3 + 2*l**3 - 7*l**2 + 6 + 6*l. Suppose -6 = -5*q + 24. What is the smallest common multiple of d(q) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 282, 0.5, -57192?\nAnswer: -57192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.465 + 0.045. Let n = -0.02 - r. What is the third smallest value in 5, n, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4172, 7520, 9214, 8426, 4328, -3908?\nAnswer: -17110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 - (196 + -73) - 40?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 6*i**2 + 3*i + 5. What is t(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-20476.\nAnswer: 511900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -0.6. Let a = 2 + y. Let w = 1 - a. Sort w, 0.3, 4 in descending order.\nAnswer: 4, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -18, -11, -6, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/7)*q*q**1)\/(q**(-2\/3))**(8\/9))\/((q\/q**(-2\/5))\/q*(q\/(q\/(q\/((q\/(q*q\/(q*q**(4\/3))))\/q)*q)*q*q*q)*q)\/q)**(-4) assuming q is positive.\nAnswer: q**(-1213\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -513*b + 2691*b + 1263*b to the form n*b + h and give n.\nAnswer: 3441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0 - 29) + (-22)\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/(u**0*u)*((u**4\/u)\/u)\/u**1)\/(u**(2\/17)\/u**(1\/13))**(-3) assuming u is positive.\nAnswer: u**(-1078\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 2*u - 4882 + 4866, -3*l = 5*u - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/3468 and 101\/37842?\nAnswer: 1286628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9652 divided by -2413.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 18*f**2 - 19*f - 204. Let g be p(16). Let r be 200\/14 - (-2)\/(-7). Let z = r + -8. Calculate the greatest common divisor of z and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t**(-4))\/(t**(2\/7)\/t)**2)**(1\/84) assuming t is positive.\nAnswer: t**(5\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015014726.\nAnswer: 2, 3, 11, 47, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 6*w - 20, -774*w - 42 = -b - 794*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-12)\/(-2)) - -15. Suppose -5*h + 12*x + 41 = 8*x, -h - l = 5*x. Solve -3*v - 18 = -3*p + p, h*p - 19 = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (5 - (37 - 9 - 14) - -20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5. Suppose 4 = l - q, -3*q = l + i + 7. Solve l = 2*k + 4 + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - 0) + (-4)\/50)\/(182\/(285740\/(-157))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -5 (b) 2\/13 (c) -1\/2 (d) 2\/9 (e) -0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:56 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + 5931. Is 40 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 4. Suppose -5*a + 135 = -3*t, 5*a = f*t - 2 + 142. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*f**2*p**4 - 3*f**2*p**3 + 145*f**2*p**2 + f**2 + 2*f*p**3 + 2*p wrt p.\nAnswer: -1128*f**2*p - 18*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1690\/678027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4075049.02000027 + 4075049. Let d = -0.3 - -0.28. Let s = r - d. Round s to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100793891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1113.\nAnswer: 10\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871177629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, 53, 232, 525, 938, 1477, 2148, 2957?\n\"Answer: p**3 + 48*p**2 - 80*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/(-9 - (7 - 15)). What is the nearest to u in -1\/5, -2, -14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-286)\/(-52)*152\/44?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 - 126. Suppose 20 - m = -4*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -20355*g - 20355. Let l(f) = -3*f - 5. Determine -a(k) + 4071*l(k).\nAnswer: 8142*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -2021010?\nAnswer: -2021132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*r + 2 = 0, -2*r - 2 = -0*z + 5*z. Suppose 3 + 0*a**2 + 9*a + z*a**3 + 9*a**2 + 3*a**3 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 3*n**2 - n - 2. What is the tens digit of b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/7752*1003 - (-2)\/(-19). Solve 19 = 9*u + 3*b - 23, -5*u - r*b = -30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 - 130*v**3 - 488*v**2 = 0. Calculate v.\nAnswer: -61, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*t + 243, 3*s + t - 729 = 6*t. Suppose 4*x = 5*m - 467, 0 = 2*m + 5*x - s + 76. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/24 and 19\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -509*m**6 - 9*m**2 - 12?\nAnswer: -61080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 49*t - 4. Let d be r(-1). Let p = d + 61. Suppose -p*s + 2*s + 2*s = 0. Solve 2*f = -s*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**1)*w)*w)**(-31\/3))**(2\/61)\/((w*w**(1\/4)*w)**(4\/27)\/((w*(w\/w**(-1))\/w)\/(w*w*w\/(w*w**6*w)))) assuming w is positive.\nAnswer: w**(1096\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let s = 14.627 + -0.027. Let j = s - 15. Put j, -1\/7, z in decreasing order.\nAnswer: z, -1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 352*l + 15099. Give s(50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10697 - -10696. Which is the nearest to r? (a) 0.5 (b) -5 (c) 0 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-28)\/(-8))\/((-65)\/(-20)). Let i be 3*(-1 - 1) - -1. Which is greater: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + a**3 + (4*a**2 - 4*a**2 - 3*a**2)*(-5*a + 2*a + a) + 274*a**2 - 54*a - 274*a**2 + 3*a**3 - 22*a**2 - 8*a**3 + 22*a**2.\nAnswer: 2*a**3 - 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1468 + -1307. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -22*i**2 - 3*i**2 + 33*i - i**3 - 16 + 13*i**2. What is the tens digit of w(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 0\/(-2) + 4752\/(2 - -7) and 3036.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-19 - -24) - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i. Let g(v) = v**2 + 8*v + 11. Let w be g(-4). Let b be 3\/(-2)*-6*4\/18. Let c(p) = 15*p. What is b*c(t) + w*y(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93044729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16.4. Let d be 3\/(-18) - (-1)\/2. What is the closest to d in c, 0.03, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/6)\/5)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1826099 and 3.315.\nAnswer: 3.4976099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8. Let h be m(-5). Let f be (-200)\/(-1705) - 6\/h. Let j be ((36\/(-21))\/(-4))\/(-1). Which is the third smallest value? (a) f (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 4 = -5*r - 3*o, -15 = -5*r + 3*o. Solve r = 3*b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3728*i - 3724*i - 23, 0 = i + 4*h - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(99) + 1*sqrt(99) + sqrt(99))*1 + 4*1*sqrt(99))**2*-3.\nAnswer: -14554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 4. Let y be j(-4). Let m be 2 - (y + -4) - 0. Solve -m = -5*o + 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 8\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6) - -1 - (-576)\/756.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34524, -34700, -34984, -35370, -35852?\nAnswer: -36424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 58*c**2 - 127*c**2 + 77*c**2 + 3*c in the form b + h*c**2 + y*c and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 18 + 4*u**2 - 4*u**3 - 53 - 2*u**4 + 18 to x*u + t + p*u**2 + q*u**3 + a*u**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:41 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -1 + (3 - 5). Suppose 4 = 2*m - j. Suppose -u + 3*u - k = 5, -u + 25 = -5*k. Solve -m*n - n + 20 = u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-25))**28\/((a**1\/a)\/(a*a\/a**(-34)*a)) assuming a is positive.\nAnswer: a**(-663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = 4*c + 27, 4*q - 32 = c. Suppose 115 = -q*s + 2571. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*t - 9, 5 = 4*y - 9*y - 5*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (184\/110 - 4). Suppose -5*a - 131*j + 126*j = 0, 5*j = a. Is a less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/644 and 71\/76728?\nAnswer: 537096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 22699094*z\/5 - 9079636.\nAnswer: -2*(z + 2)*(z + 11349545)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 950172894.6 to the nearest 10000.\nAnswer: 950170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*h**3 - 756*h**3 - 576*h**3 - 1753*h**3.\nAnswer: -2124*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60187248?\nAnswer: 2, 3, 11, 37997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 3. Let u be n(-12). Let i be 37*((-4)\/(-8) + u\/(-6)). Let t = i - -313. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361071.6809139 - -361266.0094979353. Let z = h + -1075.3285834623. Let w = z + 881. What is w rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, l: 3}. What is prob of sequence lllb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1620 and 173\/756.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:47 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 282*l - 10913. Let n(x) = -2*x**2 - 563*x - 21824. Let j(g) = -6*n(g) + 11*t(g). Find the first derivative of j(a) wrt a.\nAnswer: -20*a + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 91, 146, 203, 262, 323, 386?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 88. Let b = 11 - f. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3409 - -3629. Solve 84 = -i*l + 208*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 65*k - 92. Let t be d(2). Is 8 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110001010000010101 - -11?\nAnswer: 111100110001010000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/6 + 5*y**3\/6 - 3*y**2 + 8*y. Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -6, -13*o - 37 - 48 = 52*p - 51*p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.072? (a) -0.263 (b) -5 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 1, l: 3, x: 6, g: 3}. Give prob of sequence gxl.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/30*-1)\/(-2 - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12183916 to the nearest integer?\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-515)\/(-1442))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 416941777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3287258*0.5.\nAnswer: 1643629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 11696.\nAnswer: 7\/11696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*238\/(-408)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59535477803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.72*-4.68.\nAnswer: 8.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008355425 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1736 + -5023.\nAnswer: -5022.8264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 5. Let n(t) = -t**2 - 9*t - 5. Let k be n(s). Let a(y) = 4*y - y + 0*y**2 + y**2 - 5. Give a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839421777 is divided by 4188.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27) - (-112)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 3*c = 9*i + 5, 4*c - 10 = 2*i. Let y(l) be the second derivative of 0 - 5\/6*l**4 + 0*l**3 + 6*l - 1\/6*l**6 + 3\/4*l**i + 0*l**2. Factor y(q).\nAnswer: -5*q**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 205, 681, 1607, 3133, 5409, 8585?\n\"Answer: 25*k**3 + k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662399448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -697764 smaller than -697764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:51 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvvjvn. Give prob of picking 2 v and 1 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at most -427\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 39. Suppose -31 + 11 = -2*p. Let o be l(p). Sort 4, -8, o in descending order.\nAnswer: 4, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 762 - 768 - (0 + -39)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35232*b + 35305*b - 11*q = -1796, -84 = 3*b - 3*q for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/((-1)\/((-9)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -29*q**5\/5 + q**3\/3 + 195*q**2 + 2. Let h(t) = 3*t**2. Calculate g(h(m)).\nAnswer: -3132*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 548, 1255, 2484, 4409?\n\"Answer: 29*p**3 + 156*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {h: 2, g: 3, u: 10, q: 1, x: 2, s: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) 189 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 11*z**2 + 11*z - 19. Calculate g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {d: 5, c: 1, l: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (-6 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/3)*p)**44 assuming p is positive.\nAnswer: p**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = 11*d - 14*d, -4*l - 19 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1343 (b) 1 (c) -0.5 (d) 79.9 (e) -1 (f) -2 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135\/497 - 1\/71. Let m = 5895 + -5907. Put -4, m, -0.06, i in ascending order.\nAnswer: m, -4, i, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/2574 and 71\/572.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14\/181, 0.4, 1\/8 in decreasing order.\nAnswer: 0.4, 1\/8, 0, -14\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/3 - l**3\/6 - l**2 - 4*l. What are the prime factors of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -2747*g**4\/6 + 696*g**2 - g - 414. Differentiate a(b) wrt b.\nAnswer: -10988*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -105. Let w(a) = 151*a - 21. Does 31 divide w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (7\/56 + 2111\/8)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-12*s + s + 2*s)*(4*s**3 + 1 - 1 + (5*s**2 - 2 + 2)*(6*s + 0*s - 5*s)) to u*s**2 + g*s**3 + f*s + x*s**4 + y and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1408 + -1407. Let l be 2\/(-4)*-1*2. What is the nearest to l in -5, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**3 + s**2)*(2 - 4 + 3) + 2 + 2*s**3 - 2 - 20*s**3 - 5*s**2 + 87*s**3 - 68*s - 66*s**3.\nAnswer: 2*s**3 - 5*s**2 - 68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 59 = 102 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -129)*-8 + (106 - 111). Suppose 2 = -2*d + 12, -3*f - d = -u. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1048 - -2169. Let z = 257 - 253. Suppose 5*f - z*h = l, -6*f + 7*f - 2*h = 223. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -1. Suppose 0 = -5*z - 2*h - 15, h + h + c = z. Suppose -2 = -y + 3*y. Are z and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-1 + 1 + 3*b) - 5*b - 10 + 6 + 3.\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320212758 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21400961168 rounded to 4 dps?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:18 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 2*z + h - 884, -5*h = -2*z + 316. Calculate the remainder when z is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 41*u + 138. Let w be v(-3). Solve 24*z - w = 29*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.3. Let f = 20 - 49. Let l = 32 + f. Put l, -1\/7, q in increasing order.\nAnswer: -1\/7, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:43 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6782*z - 18547 = 5691*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 15. Let v(y) = y + 2. What is -t(w) - 3*v(w)?\nAnswer: -7*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.7 + -19.2. Let h = 15598\/369 + -380\/9. What is the closest to -2\/5 in 3\/2, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1049015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.13, 4, 145, 0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332 + 289. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 664*d*m**2 + 2*d*m - 3104*d with respect to m.\nAnswer: 1328*d*m + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -83631*-0.2489\nAnswer: 20815.7559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 2*v**3 + 2*v)*(0 + 3 - 4) + 5*v**2 - 7 - 5*v**2 + v**3 in the form i*v + g*v**3 + r*v**2 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0 + 0)*(-1 + 0 + 0) + (0 + 0 + 5)*(0*d - 2*d + d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - 17 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:12 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 2012?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5831?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15403911 plus 0.7?\nAnswer: -15403910.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-137 - -138) + (-1 - (234\/(-8) + 14\/56))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 5*i + 25)*(2 + 3 - 3)*((1 + 1 - 3)*(-3 + 2 - 1) - 4 - 4 + 3).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = -4. Let q be y\/(-3*4\/(-16)). Let i(t) = t**2 + 3*t - 5. Calculate i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b - 8. Let z be t(-6). Find the third derivative of -123*j + 3*j**2 + 55*j + 8*j**z + 58*j wrt j.\nAnswer: 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1950*h**2 - 1957*h**2 + 5850*h**2 - 1952*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -139, -5, 4, 2.\nAnswer: -139, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-8)\/(-16))\/((-17)\/(-85))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 2 + 1 + 5 - a**2 + a**3. Let p be f(0). Suppose o = -0*o + p*s - 3, -3*o = s - 56. Calculate the highest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2554 = 74*k - 332. Calculate the remainder when 64 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-130))\/15*(-48)\/36?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 6*z**2 + 8*z**2.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/10 + (-5)\/(-25). Suppose 3*d - 10 = -m*d. Determine i, given that -1\/2*i**2 - 2*i - d = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11)*z**(-2\/51)\/z assuming z is positive.\nAnswer: z**(-614\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3 - 2, -3*b + 4 = 2*k. Solve 0 = o - 3*i - 4, -5*o = b*i - 0*i - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 0.45?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.01.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3555 + 223012?\nAnswer: 215013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13415 is divided by 11727.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-1)\/sqrt(7) - (5 + sqrt(52))**2 - sqrt(52)\/((3*sqrt(24))\/sqrt(6)).\nAnswer: -77 - 61*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 63958360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(0 + 8\/(-20)). Suppose 1 = -2*u + 3*u, 0 = -o - b*u + 8. Let a be o*3\/(-3) - (0 - 6). Solve 0 = -m - 0*m - r + 2, -10 = a*m - 5*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35082717 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-140)\/117)\/(-28))\/(40\/384*8).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 93, 157, 247, 363, 505?\n\"Answer: 13*u**2 - u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8 - f**2 + 32*f + 33*f - 99*f + 29*f. Give t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(w*w**(-1)\/w*w*w*w*w*w*w))\/w*w*w)*w)\/w*w**(2\/11)*w*w**(-4)*(w\/((w**(-2\/5)\/w)\/w))\/w*w assuming w is positive.\nAnswer: w**(197\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 - 8*n**2 + 5*n + 1. Let a(u) = 7*u**3 - 8*u**2 + 6*u - 1. Let i(l) = -5*a(l) + 6*f(l). Calculate i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9*(-2514)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 + 2*b + 1. Let x be (-10 - -14)*1\/(-4). Let s be i(x). Suppose -3*r + 13 = 4*h, -5*r = -2*h + 9 + s. Solve -5*q = 2*j - 5, 0 - h = 4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83.7 in 49, -4, 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 40. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-5)\/3. Let z(h) = 4*h**2 - 5*h - 4. Let s(x) be the second derivative of -x**4\/12 + x**3\/6 + x**2\/2 - 7*x - 1. Determine i*z(g) - 3*s(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + t = -6803, 27*z - 32*z = t - 34027. What are the prime factors of z?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.022 + 4.978. Let x = -3.022 + 0.022. Put -0.3, x, j, -2 in descending order.\nAnswer: j, -0.3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/150 and 52\/9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 109.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 209.56 and 5913.8?\nAnswer: 1239295.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -8, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -612 divided by -34\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t - 47*t + 166*t - 59*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 3 (c) 13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2186 + 29?\nAnswer: -a215a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481 is divided by 202?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -131. Let s(q) = -3*q**2 - 40*q + 5. What is the remainder when s(v) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - m - 4*m)*(0*m + 5*m - 3*m) + (-1 + 1 + m**2)*(2 + 1 - 5) to n*m + f*m**2 + z and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63514 or -63513?\nAnswer: -63513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -36*u + 47. Let y(v) = -v. Let s(x) = -t(x) - 6*y(x). What is the derivative of s(a) wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846802 * -4.\nAnswer: 3387208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -2, 353, -9, 1\/2, 0.034?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (146 + -152)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01430434682 rounded to 6 dps?\nAnswer: 0.014304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Let a be 1\/(3\/6*-2). Let x be a\/(-8)*10*28. Calculate the highest common divisor of x and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2033*f - 5933*f - 7660*f - 4063*f to m*f + c and give m.\nAnswer: -15623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -27 + (0 - -10) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 183, 277, 373, 471?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789174856 to the power of 1\/3, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*r**3 - 30*r**3 - r**4 - r**4)*(0*r - r - 3*r).\nAnswer: 8*r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 4*b + 3*l, -2*b + 2*l + 14 = 0. Suppose 10*w = b*w + o + 192, -4*w - 3*o = -146. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4170 = 7998*h - 8137*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31374, 31362, 31350?\n\"Answer: -12*n + 31386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13*d - 339. Determine p(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -349 + 1864*u - 5*u**3 - 23 - 1866*u + 8*u**3 as x*u**3 + r*u**2 + l + y*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 10*q + 5*q - 2. Let w be m(1). Solve 4*x + 3*d - w = 0, x - d + 7 = 2*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129 + 380 + 110 - 4 - g + 0*g in the form d + b*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (2 - 5 - (99 - 103)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2639?\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let f(c) = 10*c - 10. Let s(y) be the first derivative of y + 1. Let h(u) = f(u) + 4*s(u). Determine 8*b(v) + h(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21325421 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 10349430?\nAnswer: 113843730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -53 + 14. Suppose -2*v + 70 = 5*l + 3*v, -l + 3*v + 14 = 0. Suppose -5*w + 39 = l. What is the remainder when t is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/((-5)\/(-2) + -1). Suppose 0 = -f*t + 9*t. Factor -1\/2 + b - b**3 + 1\/2*b**4 + t*b**2.\nAnswer: (b - 1)**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.63 and 332.\nAnswer: 330.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 + 148. Let z = i + 63. Is z greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 divided by 253?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76)*1 - sqrt(19) - sqrt(19)) + sqrt(114)\/sqrt(6)*1)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 831*o**2*w + 19*o**2 - 131*o*w - 16*o - 6*w - 98 wrt w.\nAnswer: 831*o**2 - 131*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 e when four letters picked without replacement from {t: 2, y: 5, q: 2, e: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1.7.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/13)*m*m))**(-8\/13)*(m**(1\/3)\/m)**(-29) assuming m is positive.\nAnswer: m**(10066\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2. Let z(r) = r**3 + 17*r**2 - 20*r + 4. Let l be z(-18). Let m(u) = 13*u + 21*u - l*u. Give m(v(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 + 6648.\nAnswer: 6863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(4 + 55\/(-15)). Sort j, 12, -1\/3 in decreasing order.\nAnswer: 12, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427 - 420. Suppose 41*i - 195 = 36*i. Calculate the remainder when i is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/(2\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 15*w**2 - w - 13. Let x be ((-18)\/6)\/(1\/5). Let t be q(x). Suppose -2*i - t*i = -32. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 = -0*o + 5*a, o - 6 = 5*a. Let i be (3 - o) + -3 - -13. What is the highest common factor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/7))\/((-4890)\/7335)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u - 8. Let d be c(6). Suppose 0*j - 5*j = -d. Solve -j = t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131\/(-29)*(-30)\/65\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 30*y**3 - 2*y**2 - 30*y.\nAnswer: 2*y*(y - 1)*(y + 1)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q - 2. Let b(c) = 417*c**3 + 11*c**2 - 12*c - 6. Let d(l) = b(l) - 3*p(l). What is the third derivative of d(m) wrt m?\nAnswer: 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 3. Let n be d(6). Let f be (-8)\/(-12) - 26\/n. Let b(y) = y**2 + 9*y + 9. Let q be b(f). Solve a + 3 = q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.373 - 8.373. Sort x, 0.7, -1, -10\/23 in increasing order.\nAnswer: x, -1, -10\/23, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1001?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33*r + 5. Let x(a) = -874*a + 133. What is 133*c(g) - 5*x(g)?\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11718 - -421925\/36. What is the common denominator of c and (203\/(-105))\/(6\/(-5))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(119) + sqrt(119) + 1*(sqrt(119) - (sqrt(119) - 1*sqrt(119))))\/(sqrt(49)\/(sqrt(7) + sqrt(7) + sqrt(49)\/sqrt(7))) + 1.\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7912.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and -0.08 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 58. Let d = y - 23.9935. What is d rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/7*f**2 - 2\/7*f**4 - 4\/7*f**3 + 0*f.\nAnswer: -2*f**2*(f - 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 309.61 - 309.6071399. Round v to 5 dps.\nAnswer: 0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5\/6, -0.5 in decreasing order.\nAnswer: 5\/6, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - 8 = 0. Let d(n) = -n**2 - 2*n - 1. Let f be d(-1). Suppose i - 3*i + 12 = f. Solve 0*s + o*s + i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 7, l: 1}. What is prob of sequence pl?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -68, -146, -254, -392?\n\"Answer: -15*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17a7 (base 14) to base 16\nAnswer: -10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -2, -5, 79 in decreasing order.\nAnswer: 79, 3, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -866 * 660\nAnswer: -571560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*(-1068)\/(-9). Suppose -51 = b + 52. Let v = b + z. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 0*p - p**4 + 0 - 11\/2*p**5 + 36*p**2 + 198*p**3 = 0.\nAnswer: -6, -2\/11, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 10 - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/21 - (1 - 4))*-7. Let d be 1 + (-4)\/(o + 2)*-1. Sort 4, d, 3, -5 in descending order.\nAnswer: 4, 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3753256 (base 11) to base 7.\nAnswer: -106262260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 3.5551564121?\nAnswer: 3.6551564121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 bigger than 739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.57 and -7.367?\nAnswer: 4.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 10*t - 22)*(273 + 276 - 404) in the form w*t + d and give w.\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + s + 2*s = 6, 5*q + 4*s - 29 = 0. Find the common denominator of 95\/2 and (-18)\/q + (2 - (-22)\/(-432)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*w + 240, 0 = -o - 0*o + 2*w + 40. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - -65. Let d = z - 132. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181541.\nAnswer: 379, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35685225 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 517542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2 + 1142948*j + 6857760 = 0.\nAnswer: -6, 571480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 + (-108)\/(-14). Suppose -8 = 4*r + k. Is r\/18 - 32791\/(-99) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.47 - 8.4. Let z = d - 0.67. Which is the nearest to 0? (a) -0.16 (b) z (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1836c?\nAnswer: 18368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 311098650 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 437885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34111, -68217, -102323?\nAnswer: -136429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62045 divided by -78.\nAnswer: 62045\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/54 + 76\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978383.2um in nanometers?\nAnswer: 978383200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 7*o + 4. Let i be v(8). What is the units digit of 2 + (-15)\/3 + i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-18 + (0 - -5) + 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 149 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plf when three letters picked without replacement from {p: 7, t: 1, k: 1, f: 3, l: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 74*y**2 - 4*y + 5. Suppose -i + 3*d - 3 = 2*d, 0 = -4*i + 3*d - 10. Let r be 1*i\/((-4)\/8). Is a(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5455.239 tonnes to grams.\nAnswer: 5455239000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -g + 46 + 11, 4*g - 258 = -3*n. Suppose g = 3*m + 18. Suppose 0 = -3*i - m, -2*q = -2*i + 7 - 25. Solve x + 2 = q*v + 1, -10 = -5*x + 5*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 136*v - 2027. What is the smallest common multiple of g(-151) and 2448?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1466 = 2*w, 2*w + 2*w + x - 2930 = 0. Suppose 2*t + 58 = w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87.69851 millimeters?\nAnswer: 0.00008769851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**7\/840 - q**6\/60 + q**5\/120 + q**3\/2 - q. Let d(f) be the second derivative of p(f). Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3145 divided by 33.\nAnswer: 3145\/33","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let b = 22 + -16. Let c = 9 - b. Solve -c*s + 3 = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356 + 529. Let i = z + -203.3. What is i rounded to zero decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/55, -1\/2, 447692?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.047 + 0.051. Let a = 0.002 + w. Let u be 12\/(-9)*12\/(-20). Put a, -0.4, -0.09, u in increasing order.\nAnswer: -0.4, -0.09, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 366*u**2 - u**5 + 3*u**5 - 364*u**2 + (16*u**2 - 16*u**2 - 4*u**4)*(4*u - 3*u - 2*u).\nAnswer: 6*u**5 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2034 + 2033.999985111. Round g to 7 decimal places.\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 12*k**2 - 26*k + 82. Let a be d(10). Solve -a*c = -17*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238053872.99999916 + -238053869. Let c = 0.06 - -3.94. Let b = c - k. Round b to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d*d*d\/(d\/((d**(2\/7)*d)\/d))*d*d)\/d))\/(d*d**(2\/3)*d))**(-4\/7)*(d\/(d*d**5*d)*d*d*d**6)\/(((d*d\/d**(-3\/4))\/d)\/(d*d*d**2)) assuming d is positive.\nAnswer: d**(4499\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 16*v**2. Let u(b) be the second derivative of b**3\/2 - 11*b. Calculate u(r(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264.935 * -184.\nAnswer: -48748.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204904633*r + 204904633*r - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-12 + -3 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25730.99999942204 + -25731. Round s to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102634554 and 16248?\nAnswer: 4062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 836?\nAnswer: 334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((4\/(-90))\/((-44)\/(-33)*(-20)\/16))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052135703?\nAnswer: 3, 311, 125299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -8. Suppose 4*m + l = -3. What is the units digit of (m\/12 - -1)*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**9\/504 - x**5\/60 - x**2 + 5. Let m(h) be the second derivative of c(h). Find the third derivative of m(o) wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17)\/v**(1\/6) assuming v is positive.\nAnswer: v**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6719750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -83. Suppose r*n - 4*h + 7*h - 2683 = 0, -3*n + 4026 = 3*h. List the prime factors of n.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -5. Let v = -60.1 - -60. What is the biggest value in -3, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/8 + s**3\/2 - s**2 + 3*s. Let b(n) be the first derivative of a(n). What is the derivative of b(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**3*h**3 + 1693478*b**3 - 509356*b*h**4 wrt h.\nAnswer: -12*b**3*h**2 - 2037424*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 5:43 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245460 and 210.\nAnswer: 1718220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2014534 (base 7) in base 4?\nAnswer: -322123231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 3*n + 11*n)*((-2*n + 2*n**2 + 2*n)*(3*n + 3*n - 11*n) - 2*n + 6*n**3 + n - 7*n**3) as m*n + y*n**3 + f + i*n**4 + j*n**2 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrrrdrddrrrrdr. What is prob of picking 2 d and 1 r?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5214\/316)\/(((-315)\/(-56))\/(-15)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3104 take away 4914583?\nAnswer: -4914583.3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -310602.\nAnswer: -310601.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 3*c + 99*p - 193*p + 97*p, -1560 = -5*c + 39*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77762\/105 or 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g - 110*g - 6 = -3*n, -n = 3*g + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119807 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 bigger than 9511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 436872000 to the nearest one million.\nAnswer: 437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43266 + 43266.3. Let t = -17.9 + 15. Let f = t - -3. Which is the second smallest value? (a) -1 (b) -3\/2 (c) y (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 142. Determine h(-29).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*m = -64, -3*x - 2*m + 12 = 42 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -443, 0.55, -0.4, -4, -2\/9, -1?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3 - 164*t**2 + 920*t + 1088 = 0.\nAnswer: -1, 8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -43. Calculate the remainder when 20 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {m: 1, v: 1, j: 1, b: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -3009059.\nAnswer: -37\/3009059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 678960*v - 3453197.\nAnswer: 678960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5638 and -41\/8.\nAnswer: 22552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004935251251 rounded to seven dps?\nAnswer: -0.0004935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/2822 or 0?\nAnswer: -15\/2822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319248319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2548) - sqrt(52)) + sqrt(52))\/sqrt(4) + (3 + sqrt(117)\/sqrt(9) - sqrt(13))**2.\nAnswer: 9 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11 = -3*o, -o = -2*k + k - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.03048nm to meters.\nAnswer: 0.00000000003048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*p - 27. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 13*c**3 + 7*c**3 - 5344 + 5342 - 2*c to the form d*c**2 + r + h*c**3 + t*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 7*n + 2. Let q be t(-7). Let z be (-9 - 1)*(6 - (1 + 6)). Let y = z + q. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*x + 366 - 366 - 19*x - 11*x + 18*x + (2 + 3 - 3)*(-2 + 2 + x))*(0 - 5*x**2 + 4*x**2 - 1) to the form g*x**3 + j*x + c + w*x**2 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5589166?\nAnswer: 2, 11, 254053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11847, 23704, 35571, 47448, 59335?\nAnswer: 71232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1331 = 5*a + 191. Suppose -5*j + 560 = -5*h, h = -4*j + 215 + a. Let v = 157 - j. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 2*h - h + (-1 + 4 - 1)*(0 + 0 - 2*h) + 4*h + 0*h - 3*h - 5*h + 3*h + h + (-547 - 639 + 1291)*(-3*h + 0 + 0 + (-h + 5*h - 2*h)*(5 - 1 - 3)).\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109060 and 8569.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215655 + 823345. What is s rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88, 354, 1542, 3848, 7644, 13302?\n\"Answer: 62*d**3 + d**2 + 5*d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*v**4 - 458 with respect to v.\nAnswer: 224*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 354*r - 3. Let j(x) = -353*x + 1. Calculate -5*j(w) - 4*t(w).\nAnswer: 349*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 2. Let t be v(6). Let j be (-4)\/t*(-5)\/(-3). Let o = -544.62 + 544.32. What is the smallest value in j, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33420838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 599.62 + -599.620043329. What is j rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 45 - 95 + 45 + 12*u**2 + 14*u.\nAnswer: 12*u**2 + 7*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + (17 - (-7 - (-5 - 7)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*d + 421, 347 = -3*t + 7*t - 5*d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/60 (b) 2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (600\/1600 + 141\/8)*3\/(-2). Which is the nearest to -3\/4? (a) -0.1 (b) -5 (c) 0.3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 513 + -218. Let s = i + -100. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 40 = j. Suppose y - 2*x = -5*x - 20, 4*y = 3*x - 5. Let u = y - j. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohxhsdd. What is prob of sequence dhdo?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 3*p + 0*p + (-p - 4 + 4)*(-1 - 2 + 9) + 4*p - 4*p + 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-12)*25\/14 + -6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 14, v: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 + 196.3. Let y = 16 + f. Let u be (-3)\/(-4)*(-2)\/(-3). Put -0.1, y, u in descending order.\nAnswer: u, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - b**2)*(-1498*b**3 + 188*b**3 - 265*b**3) + b - b - 2*b**5.\nAnswer: 1573*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.958 to the nearest integer.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16381821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -2. Let o be 46\/14 - c\/21. Let w(n) be the second derivative of n**3\/3 - 3*n**2\/2 + 2*n. Calculate w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*d - 77*d + 84. Is d < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywhyhhryyykyhh. Give prob of sequence yw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 2)\/3*5. Let t(a) = 2*a - 1. Let q be t(3). What is the second derivative of n**q - n + n**c + 2*n wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/120 + w**5\/10 + w**4\/12 + 4*w**3\/3 + 142*w**2. Suppose 45 = 4*s - 99. Let z be s\/(-6)*(0 - -1). Determine x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1415 + -1414.999163. Round s to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -136. Let w = n - 74. Let t = 29.1 + w. Is 2\/9 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256*l**3 + 6080*l**2 - 41412*l + 60552.\nAnswer: -4*(l - 2)*(8*l - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 4. Let y(c) = -c**2 + 6*c + 10. Let g be y(m). What is the first derivative of -3*n**4 + 1 - 3*n**3 + 3*n**g wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 3\/(84\/148).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**2 + 2 + 3 + 3 - 8*v**2 + 3 as h*v + m + k*v**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 6?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q + 65866 + 35654 = 30*q. What is the remainder when q is divided by 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let q(i) = i**3 - 12*i**2 + 12*i - 7. Let h(y) = y**2 - 5*y - 3. Let f be h(7). Let t be q(f). Solve g*z + t = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**6\/21 - 2*c**5\/5 + 45*c**4\/14 + 2*c**3\/3 - 44*c**2\/7 - 2400. Let i(u) = 0. What is u?\nAnswer: -11, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*d, -23 = -u - 5*d. Suppose 11*j = u*j. Suppose 3*m = j, 3*m - 132 = -3*i - 0*i. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -191*w**3 + 3*w**2 + 23*w - 25. Let s be z(1). Let p = -38771\/20 - -1938. Calculate the common denominator of p and ((-19)\/s)\/(((-3)\/59)\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s - 15. Let f(y) = -3*y**2 + 0*y**3 + 2 - 2*y**3 - y**2. Does 10 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + (-390)\/24)*8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.045 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.03 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 6522929*w**3 - 42548537509701*w**2\/2 + 212743176768430*w - 531858349604450.\nAnswer: -(w - 5)**2*(w + 6522934)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22882 divided by -34.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5658647749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.943 + -11.1094. Round s to 2 dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-24)\/(-20))\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 (base 16) in base 14?\nAnswer: 23ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h - 21. Calculate the smallest common multiple of s(-4) and 237.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/353 and -19\/111901.\nAnswer: 111901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**3 - 3*q**2 + 7*q - 5. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-51) - ((-3192)\/(-119) + 10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d**4 + 3*d**3 + 3*d**2 + 13*d + 3. Let q(j) = -j**3 - j**2 - 1. Let h(g) = -o(g) - 3*q(g). Find the second derivative of h(p) wrt p.\nAnswer: 204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1582.9 + 1582.9000006398. What is t rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Suppose -j + 2 = m. Let d = -67.2 + 67. Which is the closest to d? (a) -0.1 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9268857 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02594 and 3.\nAnswer: -0.07782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*b + 4*b - 1968 = 0, 3*j + b = 1477. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.87 and -4.\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 127*f**2 + 1 - 129*f**2 + 45*f - 27*f as k*f**2 + r*f + a*f**3 + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 5.1.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - g + 3*g + 16, -2*h + 5*g = -31. Suppose 5*b - 348 = 3*l, 5*b - 541 = -h*l - 169. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, 6, 31, 72, 135?\n\"Answer: j**3 - j**2 + 11*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 - 2*x**3 + 2*x**2 + 108*x?\nAnswer: -120*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqrwqwqqqrq. Give prob of picking 2 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h**3 + 6*h**2 - 10*h + 7. Let g(s) = -7*s + 4*s**2 - 43*s**3 + 5 - 28*s**3 + 59*s**3. What is 7*g(o) - 5*y(o)?\nAnswer: 6*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -848, -784, -708, -614, -496, -348, -164, 62?\n\"Answer: g**3 + 57*g - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 496 and 4448284.\nAnswer: 4448780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-17)*s*s**(-2\/11) assuming s is positive.\nAnswer: s**(-167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 1048, 2466, 4480?\nAnswer: 7090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 15*m + 1040. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31)*u**(-11\/3))\/((((u\/((((u**(1\/8)\/u)\/u)\/u)\/u*u))\/u)\/u*u)\/u*u\/(u\/(((u\/(u*u*u\/(u**(-9)\/u)*u))\/u)\/u))) assuming u is positive.\nAnswer: u**(7085\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(1 + 183\/(-181))*31 + 2.\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 45*v**2 + 199*v + 197. Calculate f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 6784.746.\nAnswer: 6784.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(40))\/sqrt(8) - (4*sqrt(500) + -2)**2.\nAnswer: -8004 + 164*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 - -1)\/5*(101 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 + 2*z. Let c be x(3). Factor -2*o - 6*o**2 - o - c*o**3 + 3*o**3.\nAnswer: -3*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66774 - -7612087\/114. What is the common denominator of 143\/342 and v?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -32*a**4 - 236*a**3 + 6393*a**2 - 13554*a - 13851 = 0.\nAnswer: -19, -3\/4, 27\/8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let p = 38 + h. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/13 + 24746*o**4\/13 - 79694318*o**3\/13 + 19265473094*o**2\/13 + 58354650760*o\/13 + 39009458600\/13 = 0.\nAnswer: -2, -1, 266, 6055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2\/83 (c) 0.4 (d) -0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -508 + 508.03. Put 2, -2, z, -1 in descending order.\nAnswer: 2, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -705 - -703. Which is the nearest to -2\/5? (a) 10 (b) y (c) -4\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 447?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 1 (c) -2\/15 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) -15 (c) -2 (d) 3 (e) -3\/4 (f) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 17. Let o be w(5). Let t = o + -19. Sort -4, 7, t, 2 in descending order.\nAnswer: 7, t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*d + 87*d + 102*d + 2*n + 114, -92 = 4*d - 20*n for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2. Let q(j) = 2*j**2 - 70*j - 94. Let l(c) = -2*c**2 + 50*c + 63. Let n(u) = -7*l(u) - 5*q(u). What is n(g(o))?\nAnswer: 36*o**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**3\/3 - 3*t**2\/2 + 3*t + 1. Let w be s(3). Suppose w = -4*f + 7*f. Calculate the smallest common multiple of 3 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 13 + 24 - 20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 8. Let f = -59\/3 - n. Which is the nearest to -2\/7? (a) -0.3 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = -g, 3*g - 4*a + 3 = -7. Let s(c) = -365*c**g + 186*c**2 + 180*c**2 + 1 + 4*c. Give s(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -735 + 5780. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246548 divided by -246548?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -9.5, -0.3 in decreasing order.\nAnswer: 3, -0.3, -5, -9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 2, r: 1, p: 1, n: 1, k: 1}. What is prob of sequence hk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 15*d = -55, 2*z = -z + 5*d - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d4 - -2?\nAnswer: 4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(405) + -1*sqrt(405)*-3)**2 - (sqrt(405) - -2*sqrt(405)*6)) + (5*(sqrt(405)*1 - sqrt(405)) - 3*(sqrt(405)*3 - sqrt(405)))**2.\nAnswer: -702*sqrt(5) + 53460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 7*s**2 - 21*s - 28. What is x(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -499\/4. Let c = -28.05 + 31. Let l = c + 0.05. What is the third smallest value in s, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 + 5*a - 2. What is the smallest common multiple of (148\/4 + 3)*18\/45 and b(4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*a - 58*p + 562, a - 75 = 4*p - 14 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -172*w**3\/3 - 91*w + 1. Let s(a) = 2*a. Give t(s(q)).\nAnswer: -688*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*p - 87 + 80 = 0, -4*p = 5*s + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 22. Let x(s) be the third derivative of s**4\/24 + 11*s**3\/6 - 338*s**2. Let f be x(c). Solve 2*a - 2 = -f*m, 4*m - 3 + 1 = -3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.3. Let m = j - 0.5. Let y = -1.3 - -0.3. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -565.649 - 1.051. Let h = q - -610. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -11.28. Let r = 12.28 + z. Let x = -7 + r. Which is the closest to -1? (a) -3 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 5)*(-17)\/(85\/10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 6 (b) -9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/15)*k*k**(1\/2)\/k)**(3\/29))**(18\/7) assuming k is positive.\nAnswer: k**(171\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + 17 + 8 - 61*c - 17 + 2*c**3 - 16*c**2. Let z be j(-6). What is the highest common divisor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {x: 7, v: 1, o: 4, p: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -72*b**2 + 694*b - 3245. Let j(q) = 24*q**2 - 260*q + 1082. Let p(g) = 8*j(g) + 3*y(g). Differentiate p(f) with respect to f.\nAnswer: -48*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1014960*j + 13194490. Give m(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r + 3. Let n be l(6). Solve -127*v = -n*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -72. Which is the second biggest value? (a) y (b) 1\/10 (c) 3\/5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -613*c**2 - 111192*c. Let d(h) = h**2. Calculate m(d(q)).\nAnswer: -613*q**4 - 111192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94\/3 - 31. Let y(v) be the second derivative of 2*v + 0*v**2 + o*v**3 + 1\/12*v**4 + 0. What is the second derivative of y(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 2. Let r be k(-3). Let p(z) = 4*z - 3. Let n be p(2). Suppose -r - n = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567154.\nAnswer: 2, 7, 17, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/18)\/(8\/264). Let j(x) = x**2 - 3*x - 131. Let u be j(r). What is the highest common factor of 299 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3*f = -18. Suppose -f*n + 334 - 78 = -2*u, 0 = -4*u - 5*n - 512. Let r = 248 + u. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17551 (base 9) in base 8?\nAnswer: -27523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114958 and 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 7*q + 66, q - 3112 + 1557 = 4*m - 1568 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 9654, 32689, 77542, 151485, 261790, 415729?\nAnswer: 620574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 times 958?\nAnswer: -104422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvvvvvdvvv. What is prob of picking 4 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 10 = -5*f. Suppose 6*x - 12 = f*x. What is the second derivative of -2*c**5 - c**3 + c**x + c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.372, -0.2 in decreasing order.\nAnswer: 5, -0.2, -0.372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8946*s**2. Let w(n) = -3*n. Calculate w(x(j)).\nAnswer: -26838*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -2. Let i = p + 15. Solve i = -3*z + 5*n - 14 + 6, 0 = 4*z - 5*n + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 4) + (2 - 0). Factor 0*u + u**5 - u + 0*u + 2*u**4 - 2*u**x.\nAnswer: u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -41*j + 574. Determine r(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 7*m - 1283. Determine p(35).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*d + 17 - 17)*(-2 - 1 - 2) + (-d + 0*d - d)*(-1 - 1 + 3) - 1 + 1 - 5*d - 4 + 4 - 2*d to the form j*d + a and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 14*f**4\/11 - 186*f**3\/11 + 52*f**2\/11 = 0.\nAnswer: 0, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (459\/(-18))\/(4\/(-32)*-1)*(-512)\/(-1024)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 5*n**2 - 6*n**2 - 8*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus 58518094?\nAnswer: -58518093.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44226 + 44369. Calculate the remainder when 12295 is divided by j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:05 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*49*(-55)\/231?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/50 + 86\/25. Let i(y) be the first derivative of w*y**2 - 5\/3*y**3 + 2 - 2*y. Let i(f) = 0. Calculate f.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230231 (base 4) to base 12.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32 + 2 - (1 + 3). What is w rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5581227 and 1284?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*y**5 - y**4 + 230*y wrt y?\nAnswer: -1140*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -2092791?\nAnswer: 2092791.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjjsjjs. Give prob of sequence sjj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 797\/53 + (-100)\/2650\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22397.8 rounded to the nearest 10?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45226291 divided by 139?\nAnswer: 325369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Suppose -g + 5*l = g - 26, 4*g - 20 = 2*l. Let d(i) be the first derivative of g*i**2 - 1 - 3 + 3. Give d(v(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllff. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -24*r**3 - 11*r**2 - 129*r + 415. What is s(3)?\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2. Let j be (-2)\/(1 + -3)*5. Let t(c) = -j*c**2 + 124 - 124. Give t(u(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 14*a**2 - a + 6. Let r be d(14). Let l(c) = -3*c - 14. Let m be l(r). Differentiate 31*k**2 + 40*k**2 - 55*k**2 - m wrt k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + 0?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 4, 9, -38, 3, -2 in ascending order.\nAnswer: -38, -11, -3, -2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7892103*o - 3920722.\nAnswer: -7892103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0 - 23*f**2 + 20*f**2 + 0 - 2*f + 4 - 3*f**3. Suppose -2*q - 3*q = 15. Does 16 divide a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(2\/11))\/p)\/p*p)\/p)\/p)\/(p\/(p*p**(5\/4)*p))*p**(4\/25)\/p*p**(-1\/9) assuming p is positive.\nAnswer: p**(-8741\/9900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-430)\/160 - 10\/(-4))*2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2522 + -2538. Let k(t) = t**3 + 17*t**2 + 19*t + 38. Calculate k(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146782 or -733916\/5?\nAnswer: -146782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.6. Let r = 5.3 - 4. Let v = r - a. What is the closest to 1 in v, 0.4, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**3 - 30*p**3 + 84*p**3 + (-3*p**2 - 2*p**2 + 4*p**2)*(2 - 2 - 2*p) - 4 + 4 + p**3 + 3*p**3 - 3*p**3 - p**3.\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 12. Let p(l) = 4*l + 13. Let z(f) = 4*g(f) - 3*p(f). Let d(o) = 2*o + 4. Suppose -2*a = -v, -a + 0*a - 5*v + 22 = 0. Determine a*z(c) - 5*d(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100) + sqrt(66)\/(sqrt(6) + sqrt(384) - sqrt(6)))*-5*1.\nAnswer: 795*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 12*u + 50. Let o be d(15). Solve 0 = -z + o*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8322637 divided by -8\nAnswer: 8322637\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2898, -2910, -2926, -2946, -2970, -2998?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447128.6 years to decades.\nAnswer: 44712.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 + 3*z**2\/2 + 3*z. Let k be 1 + 37 - (-7 + 4). Let u = -44 + k. Let s(r) = 3*r**2 - 5. Determine u*s(l) - 5*a(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-143)\/11))\/((-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 15. Suppose 4*f + m = 7. Let s(u) = -3*u**2. Give s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose p*c - 12 = -c. Differentiate 7 - 10*z + c*z - 2 with respect to z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 321934881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = 10*j + 3*t - 1, -3*t = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t + 73*t - 58322 = -4*k, -43734 = -3*k + 4*t. What are the prime factors of k?\nAnswer: 2, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 8*w - 568. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d. What is h(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4656*u*z**3 + 5018*u*z**2 + 3*u + z wrt z.\nAnswer: -27936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16567 - 16568)*(-43)\/2*-2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, 5, -80, 1 in decreasing order.\nAnswer: 5, 2, 1, -40, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1615437 and -51\/299155.\nAnswer: 8077185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = 4. Suppose x - 3*p - 23 = 0, -13*x = -12*x + 4*p + 5. Solve j + v = 2*q + x, -5*j = -q - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303 (base 4) to base 11.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32022320 (base 4) in base 3?\nAnswer: 2221121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 58. Let l(w) = w**3 - 3*w. Let i(t) = 2*t. Determine a*i(c) - 4*l(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-3*(-3)\/(-6). Suppose n - 4*z = -2, -6 + 0 = w*n - z. Is 144 + (-2)\/n + -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69 times -251721?\nAnswer: -425408.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -174. Suppose -y + 0*y + 4*k - 8 = 0, -2*y + 4 = 2*k. Suppose t*p - 6*p - 23 = y. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 5755*g + 347840 = 0. Calculate g.\nAnswer: 64, 1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2819 divided by 1?\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r**2 + 177*r + 39. Let y be o(12). Solve -9*s - 4*t + 14 = -4*s, -5*s + y*t = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -3133130?\nAnswer: 3133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -8. Let z be (-2)\/v + 4\/40. Let k = 0.1 - 0.3. Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058, -4266, -9624, -17138, -26814?\nAnswer: -38658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2878658800 to the nearest 1000000.\nAnswer: -2879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -3 + 10 + -1. Suppose -v*h - 7*h**3 + 3*h - 4*h**2 + 5*h**3 - 2*h = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (-17 - (-4 - (-3 + 14)) - 12)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 28f7?\nAnswer: -28fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.253 - -3.153. Let w = -17.7 - 8. Let n = w + 26. What is the nearest to z in 2, 1\/10, n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968877954 by -601414.\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 3241624?\nAnswer: 3241625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 17 = -4*n. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*n + 52*n - 12*n**2 in the form w*n**2 + i + y*n and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10327 + 9.89673. Which is the closest to o? (a) -0.5 (b) 4 (c) -3 (d) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/15 and 103\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 bigger than -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -28*l + 27. Suppose -2*n = n + 5*j - 38, -58 = -4*n - l*j. Solve 5*i = -5*p - 20, -3*p - p - n = -4*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -135, -1135, -3923, -9417, -18535, -32195, -51315?\n\"Answer: -153*c**3 + 24*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + g, g + 0 - 9 = 2*s. Let y be s\/(-6) - 1\/2. Suppose 4*c + c - 5 = y. Which is smaller: 2\/13 or c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55 - 0.15. What is the closest to 0.3 in t, 2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 339 + -297. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16388, -64367, -144332, -256283?\n\"Answer: -15993*q**2 - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 45. Determine m(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/2)\/h))**(-20)*(h**7)**(-11))**(17\/2) assuming h is positive.\nAnswer: h**(-2499\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -201.6, 0.3, -5133?\nAnswer: -201.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 21808417498.\nAnswer: 21808417495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**6\/3 + 102*o**5\/5 - o**4\/2 - 34*o**3 + 3950. Find w, given that z(w) = 0.\nAnswer: -51, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(21)\/sqrt(3)) - -5*(sqrt(7) + -1) - (sqrt(7) + sqrt(63)*-1)*6.\nAnswer: -5 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*y - 6, 0*x - x - y + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuxvu. What is prob of sequence kv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2 = -j, -4*j + 4*h - 50 + 38 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.9840464 months?\nAnswer: 0.01653372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - z**3 - 48 - z**3 + 121 - 3*z.\nAnswer: -2*z**3 - 3*z + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**6\/105 + r**5\/7 + 17*r**4\/42 + 8*r**3\/21 + 56*r. Find h, given that s(h) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, g - 2*p = 13750 - 4361. List the prime factors of g.\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i + 5*c = 72*i + 38, -5*i + 66 = 7*c. What is f in -1\/6*f**3 - 1\/2*f - 2\/3*f**i + 0 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12)\/n)**(-3)*(n\/(n**7*n))\/n**(-18))**(-2\/5) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -73, -54, -31, -4, 27?\n\"Answer: 2*o**2 + 9*o - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -34.3. What is the third biggest value in r, -2, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641400 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44029 + 3820222.\nAnswer: 3864251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 0, 3, -7224, -4.\nAnswer: -7224, -6, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:41 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 + 2*c - 2. Let w = 61 + -63. Let b(y) be the first derivative of -5*y**4\/4 + 3*y**2\/2 - 3*y - 93. Give w*b(h) + 3*d(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23656066 (base 8) in base 16?\nAnswer: -4f5c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Let o = 0.06 + -0.06. Which is the nearest to o? (a) -5 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**3 - 15*v**2 - 180*v + 405.\nAnswer: 5*(v - 3)**2*(2*v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3492 + 932368\/267. Let b = 53\/2403 + h. What is the common denominator of 37\/24 and b?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-89 + -28 - -29)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5328 and 358451856.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011086405 to the power of 1\/2, to the nearest integer?\nAnswer: 54873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -2*r. Let h = -4 + r. Let g(q) = -q - 6. Calculate g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, -9 in ascending order.\nAnswer: -18, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19929\/4 or 4981?\nAnswer: 4981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 48. Which is the nearest to l? (a) -1 (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18000\/20*(-1)\/(-3) is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/31)*q**6 assuming q is positive.\nAnswer: q**(219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213580 is divided by 295.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 217300?\nAnswer: 21\/54325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110193441 times 2\nAnswer: -220386882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 - -0.159.\nAnswer: -106.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i = 55865 - 55747 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3075982 and 27846?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7689 - -7677.866. Round p to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-154))\/((-62)\/(-22) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/24)\/((-6)\/8). Suppose n*h - 6*h = -12. Solve 6*v - v = d - 3, d + h = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191\/58 - 411\/116. Let o = 0 - -2. Which is the closest to j? (a) -0.048 (b) -5 (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 8 - (-6 + 1)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 88.8. Let n = 6.6 + v. Which is the smallest value? (a) -5 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-40)*(-16)\/(-3). Suppose l*p = -637 + 189. Let n be ((1\/(-2))\/((-4)\/p))\/(-1). Solve -4*o = -k, 2*o = o + 2*k - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -666*v**3 + 34311*v**2 - 17601*v + 306 = 0?\nAnswer: 2\/111, 1\/2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 163516, 653883, 1471156, 2615335, 4086420, 5884411, 8009308?\n\"Answer: 163453*c**2 + 8*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13009846 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.1 + 62. Let m be (-6)\/90 + (-1 - (-7)\/5). What is the closest to i in -1\/4, m, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 328*p**2\/3 + 418990*p.\nAnswer: -2*p*(p - 879)*(p + 715)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 222274\/(-4))\/(720\/(-1440)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*o**5 - 73*a*o**3 + 3*a*o**2 + a*o + 18*a - 3*o**4 wrt o?\nAnswer: -60*a*o**2 - 438*a - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 680312755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(-2*sqrt(1900)*5 - sqrt(1900)) - ((sqrt(1900) + -1)*-1 - (2 + sqrt(1900) + 0)))*4)**2 + 2.\nAnswer: -357120*sqrt(19) + 1051718978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4126257 (base 8) to base 10.\nAnswer: -1092783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11312023312 (base 4) in base 5?\nAnswer: -343021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - 8*o + 14. Let s be y(-5). Let q(w) = -w**3 + 5*w**2 - 6*w. Calculate q(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 + 3*s + 8. Let n be r(4). Let m = n + -5. Which is the nearest to m? (a) 3\/7 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1088) + 2 + 3)*6 - ((sqrt(204) + -1*(sqrt(204)*-3 - sqrt(204)))\/(sqrt(3840)\/sqrt(5)))**2.\nAnswer: 1559\/64 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Suppose -q - d*r + 6*r + 17 = 0, -4*r = 16. Suppose -4*x - x - q = 3*m, 19 = 3*m - 5*x. Solve -i + 5 - m = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.889705 + -0.123295. Round l to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17607 + -24935. Let k = 7398.232 + j. Let w = k - 70. What is w rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85) - (sqrt(85) + sqrt(85)*-1 + sqrt(85))))*4)\/(2*sqrt(605)))**2*-4.\nAnswer: -272\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85357324 divided by -17342.\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56197.\nAnswer: 56197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093000 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 2 = -24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -91*y + 63. Let z(l) = 75*l - 64. Let x(f) = 4*k(f) + 5*z(f). What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621 and 260307?\nAnswer: 5987061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/257 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a**4\/a*a)\/(a*a\/a**0)**(-1\/11) assuming a is positive.\nAnswer: a**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(5\/16)*(g**(2\/5))**(-1))**(-6\/7) assuming g is positive.\nAnswer: g**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1. Let i(a) = -2*a - 8. Suppose -g - 1 - 1 = 0. Let u(d) = g*c(d) + i(d). Is 5 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2296, 9195, 20702, 36823, 57564, 82931?\nAnswer: 112930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 36896.7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:05 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h. Let u = 20 + -16. Let t(k) = 9*k - k - k + u*k. Give t(o(d)).\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 13. Let s be (-4)\/((-2 - o) + -4). Suppose -5*q - 15 = 0, 5*d + 3*q = 24 - 3. Solve 4 = -s*u + d*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109738 (base 10) in base 8?\nAnswer: -10030452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 129594.1 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*o + 310, 12*o - 5*o + 84 = b. Solve -b = 13*c - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 43218.\nAnswer: 1\/7203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 + 101. Let k = l + 87. Let g(y) = -2*y + 18. Let n be g(8). Solve t - 3 - n = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a, 0*t - a = -4*t + 7. Let r(o) be the third derivative of o**5\/60 - 7*o**4\/3 + 55*o**3\/6 - 124*o**2. Let h be r(1). Solve -3*y + 1 + t = h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(26)\/sqrt(2) - sqrt(13)))**2 - ((sqrt(143) - -2*sqrt(143))\/sqrt(11))**2.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by -1 + 5 - 58*(-1)\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(5\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25208 and 17126644?\nAnswer: 787825624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*o**3 + 424*o**2 - 113*o**2 - 91*o**2 - 111*o**2 - 109*o**2.\nAnswer: 309*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 minus 222?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r + 16. Let u be d(-3). Let b = 57 - u. Is b greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:57 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((4*2*(sqrt(832) + 1) + (sqrt(832) + (sqrt(832) - (3 + -1*sqrt(832) + sqrt(832))))*-5)**2 + 2).\nAnswer: -5888*sqrt(13) + 30872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -513331 + 513380.6771. Let p = -49.7 + x. What is p rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4915*y + 15 = -4916*y + 3*s, 5*y + 2*s + 109 = 0 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-395)\/(-20) - (-1)\/4. Solve 0 = -a + 5*w + f, -5*w = 6 + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -d, -d - d - 5*x = 26. Let n = 11 + d. What is the second derivative of -z**n - 3*z - 20 + 20 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(-3 - 2 + 3)*(-2*o + 3*o - 3*o) + (-4 - 6 + 1)*(-6*o + 0*o + 2*o) + (-7 + 6 - 4)*(0*o - 5*o + 6*o) to the form n + m*o and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2573*r + 92621. Determine m(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2. Let j(v) be the first derivative of 41*v**3\/3 + 77. What is j(t(o))?\nAnswer: 369*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2154 - -2168. Let g(a) = a**3 + 2*a**2 - 7*a - 6. Let p be g(-6). Is (w\/3)\/((-9)\/p) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*s - 130 = 239*s + 290 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -329\/163, 3\/4, 19\/77?\nAnswer: 19\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -32146255?\nAnswer: 32146303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 15. Let m = -11 - w. Let n(r) = r**3 - 5*r**2 - r - 4. Calculate the remainder when n(6) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*g - 5. Suppose -g*n = -2*m, -5*m - n + 12 = -5*n. Suppose -18 = b - 3*b - 2*v, 2*b - m*v = 42. Calculate the remainder when 24 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*a - 103*a + 58*a as w*a + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 12*m**2 - 14*m. Let y(g) = g**2 - g. Calculate b(x) - 12*y(x).\nAnswer: 6*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.1 (c) 142 (d) 1\/2 (e) 68 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -68 - (0 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 12, -2*n - n + 3*k + 36 = 0. Let a(w) = -w**3 + 8*w**2 + 8*w - 1. Let h be a(n). Let z(y) = 2*y**2 + 15*y + 12. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n + n. Let i be (6\/(-1))\/(0 + -2). Suppose i*p + 2*p = -3*q + 30, -3*p - 6 = -3*q. Solve z = -4*j + 2*z - n, -j = -z + q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 8 = -2*y, -t - 4 = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -143 from -71343873.\nAnswer: -71343730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5534184917?\nAnswer: 89, 62181853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 at least 780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339483758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/3 + 1 + 5. Suppose 0 = -2*c + 1 + 3. Suppose 4*v + k = 69, -30 = s*v + c*k - 117. Solve -2*h - 20 = 3*h + 5*n, -3*n = 4*h + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74782892 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/13 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -20*x**2 + 31*x + 98. Calculate u(-4).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -6*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 7 + 6 + 2*s - 12 + 6.\nAnswer: 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.84 and 0.1?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let r be 2\/1 + -15 + 1. Let g = y - r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3856 by -241.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -223658 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 2.1. Suppose 2*b + 5*q - 25 - 21 = 0, 4*b - q - 26 = 0. What is the closest to j in 5, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*r - 3823, r - 7 = -2. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -909445.99 to the nearest 1000.\nAnswer: -909000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Let a = 83 - 78. Do a and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3267984 divided by 136166.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 10*d**2 - 8*d + 8. What is r(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 5\/269?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 10 + f**4 - 11 - 3*f**2 - f**3 + 2*f to the form w + c*f**4 + q*f**3 + b*f + o*f**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 18, 82, 172?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006204 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 4*(-3)\/(-66). Let i = 193 + -58. Let g = i + -947\/7. Which is the third smallest value? (a) g (b) l (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 - m**4\/2 + m**2\/2 - m. Let v be h(-6). Let a be 25\/(-78) - (-4)\/24. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261023 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 - (73 - 70) - (3 + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 13114?\nAnswer: -13113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -56600 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-177)\/(-7) + 4\/(-14). Let p = -16 + l. Let o be 9*((-368)\/(-24))\/23. What is the highest common factor of o and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272945471 to the nearest integer?\nAnswer: 16521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83217\/28 - 2973. Calculate the common denominator of p and 55\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -5 (c) -1\/98 (d) 0.2 (e) 6 (f) -1\/2 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -574*q**3*x - 2*q**2 - 4*q + 69*x wrt q.\nAnswer: -3444*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:57 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201.01569515 + 0.01700485. Let w = y + -0.0327. Let z = 201.0000455 - w. Round z to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from {p: 4, z: 10}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 741.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*q - 65*q + 1847 = 460 - 1181 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*j - 7, -3*j - 5*t + 4 = 6. Suppose -5*d + 3*n + 42 = 0, 2*d + 4*n + 2 = -2. What is the least common multiple of d and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21885855 and 2241?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 47\/2*h + 1\/2*h**2 - 49 = 0. Calculate h.\nAnswer: -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(2\/17))**(2\/47)\/((h*(h**21\/h)\/h)\/(h**(-6\/11)\/h)))**44 assuming h is positive.\nAnswer: h**(-753140\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:49 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156606727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 460\/7 - 66. What is the nearest to q in 0.03, -1\/3, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.18 + 0.82. What is the smallest value in 9, -6, c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**26*u**(-18))\/(u*(u*u\/(u**(-1\/3)\/u)*u)\/u*u*u**(3\/11)) assuming u is positive.\nAnswer: u**(79\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 5087358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**3 - 13*c + 17. Let f(q) = 5*q**3 - 6*q + 8. Let r = -2 + 2. Let s = r + 6. Give s*d(u) - 13*f(u).\nAnswer: u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000823 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + 2.3. What is the biggest value in v, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310303, -620600, -930893, -1241182, -1551467, -1861748, -2172025?\nAnswer: -2482298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 4. Let p be b(-6). Let u(s) = s**3 + 8*s**2 - 10*s + 1. Let x be u(p). Suppose 0*z + x = 3*z. What is the greatest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/142 and 67\/14.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 5*r + 13. Let a(g) = 3*g**2 - 16*g + 40. Let d(i) = -i + 4. Let p be d(7). Let j(b) = p*a(b) + 8*t(b). Factor j(z).\nAnswer: -(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131.9 + 11.\nAnswer: 142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a = -136*a - 484 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71459\/738 - -5\/82. Are 97 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -y - 155, 223 = 4*m - 3*y + 8. What is the highest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. What is the remainder when a(12) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13 - 49*k + 15 - 29 - 47*k. List the prime factors of t(-1).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + 15*j - 4*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 9*c - 12. Let i be q(7). Solve 6*w = i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 309446*a. Let t(q) = 11*q**2. Calculate o(t(h)).\nAnswer: 3403906*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/41 in -2\/17, 1\/3, -0.11, 3\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + 10\/3. Suppose 8 = -2*g - s*n, -3*g - 2*n + 7 - 19 = 0. Let a = g - -6. Solve -a = -m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143b (base 12) in base 14?\nAnswer: 11d83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) -314 (d) 2\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906559961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0 - -8?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95\/87 + 641\/348. Let s be (4\/(-14))\/((-36)\/28). Let g = 2.42 + -2.2. What is the fourth biggest value in g, s, -5\/4, j?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u**5 - 172*u**4 + 476*u**3 - 32*u**2 = 0 for u.\nAnswer: -8, 0, 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6987 by 3226.\nAnswer: -6987\/3226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 23 = c. Put 5, c, -3 in decreasing order.\nAnswer: c, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*v**2 - 1587*v**2 + 62 + 29*v**3 + v + 3183*v**2.\nAnswer: 29*v**3 + v + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 3*n - 25, 5*y = 5*n + 25. Put -2, y, 4 in descending order.\nAnswer: y, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4206 = 2*f - 2*z, 10503 = 5*f - z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/3 - (1 - -1). Let n = -19.58 + 15.58. What is the nearest to -0.3 in -5, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/17 + 1455000*s\/17 + 5819968\/17.\nAnswer: 2*(s + 4)*(s + 727496)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 4*z)*(-1854*z - 1110*z + 989*z)*(2 + 1 - 2)*(0*z + 0*z - z).\nAnswer: 1975*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Let k = -31 - -30. Let g be (6 - 4) + (-3)\/k. What is the greatest common factor of c and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -915.\nAnswer: 23\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11000 - 10998. Let d be 32\/9 + (-4)\/6. Is d equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 848216.2ug?\nAnswer: 848216200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-4) + 3)*((-12)\/(-150) - (-52718)\/(-3225)).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 - c**2 - 2*c + 2. Let b = -35 - -36. Let q be h(b). Let p(w) = -w**3 + 6*w**2 + 3*w - 4. What are the prime factors of p(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74545*p = -74435*p - 220 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 5*a**2 + 931*a + 3110*a - 970*a.\nAnswer: 2*a**2 + 3071*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1 - 1. Let c = 504 + -229. Suppose -c = -3*r - i*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 2*c + 0*c + (-1 + 1 + 1)*(2*c - c - 2*c) - c + c + 2*c - 4*c + 2*c + 3*c - 40 + 4*c + 40)*(2*c + 0*c - c) as w*c**2 + v + o*c and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.1433316 rounded to two dps?\nAnswer: -100.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(6\/612*6). Put -5, -1, p in increasing order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23106 or -23121?\nAnswer: -23121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100004 = -5*p + 4*u, -u - 3*u = 4. Suppose -6*f + 0*f = -p. Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k - 4. Let i be j(-8). Suppose o = 8 + i. Suppose 0*d + o = 2*d. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 6*v**2 + 2. Let j be ((-12)\/(-14))\/(((-18)\/(-21))\/(-6)). Let u be z(j). Solve u*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2140.9 + -2140.5. Sort 1\/3, 2, s, 3\/226.\nAnswer: 3\/226, 1\/3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - (-4697)\/(-308).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, 3, 10, 999 in decreasing order.\nAnswer: 999, 10, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 656 + 32626?\nAnswer: 33383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 225\/349?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/8*x**4 + 1\/6*x**3 + x**2 - 2*x - 13. Factor w(z).\nAnswer: -(z - 2)*(z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*f**2 - 1039*b - 447*f**2 wrt f?\nAnswer: 2*b*f - 894*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54238148 or -54238145?\nAnswer: -54238145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.67 - -7.87. Sort 1\/8, n, -0.14, -1.\nAnswer: -1, n, -0.14, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - 0.25. Suppose 8 = -2*p - 0*p + v, -5*p - 23 = -4*v. Which is the third biggest value? (a) p (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 350 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + 2 - -187. Let s = n + -113. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8043 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 p(m) = -3*m**2 + 6*m + 3 + 2*m**2 + 0*m. Let y = -47 + 53. Let c be p(y). Solve c*u + 19 = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14873240.\nAnswer: 2, 5, 371831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -131.7. Sort -2\/3, 3, h.\nAnswer: -2\/3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26456 + -17216. List the prime factors of f.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17c34b0 (base 13) to base 2\nAnswer: 11101101010011100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0, -0.3, -0.1, 7 in decreasing order.\nAnswer: 7, 2\/21, 0, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.9. What is the smallest value in -3\/5, 4, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Suppose -3*c = -0*c, x = -5*s + 5*c + 15. Solve s = -3*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -1, 100 in decreasing order.\nAnswer: 100, 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 4.784236281?\nAnswer: 8.784236281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 63.99999168. Round n to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17426981 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -894 + 898. What is the second smallest value in 1\/2, x, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 6*f + 6. Suppose -16 - 2 = -2*n. Suppose 8*t = -n - 15. What is the remainder when m(t) is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -113, -4, -77 in descending order.\nAnswer: 22, -4, -77, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 6*t - 7. Let y(x) = -8*x**2 - 7*x + 8. Determine -6*g(m) - 5*y(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 + -83. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238443732.4 - -0.01\nAnswer: 238443732.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n + 9*n - 2*n**4 + 2*n - 5*n wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let p(r) = -r. Let a(x) = 3*x - 1. Let n be a(2). Calculate n*z(c) + 6*p(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-7)\/168*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 5*q**2 - 41*q - 16. Is t(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(3\/5)\/w))\/((w\/(w\/(w*w\/(w**0*w)*w)))\/w))\/(w**2\/w**(-1\/39)) assuming w is positive.\nAnswer: w**(-122\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(-37 - -34).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003492 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - -7.881733224584.\nAnswer: 7.901733224584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 3628*x**2 - 824460*x + 820836 = 0. Calculate x.\nAnswer: 1, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122792.\nAnswer: 2, 3, 11, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1541\/20375?\nAnswer: 1541\/20375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -9, -1, -3, -5 in ascending order.\nAnswer: -19, -9, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Suppose f = -3*f - 5*x - 15, -5*f - 4*x - 12 = 0. Let h be c - (-3 + 1) - f. Solve 0 = -3*s - h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 517\/(-6) + 9\/54. Let i be 0\/((-129)\/m*(1 + -3)). Let x(b) = -b**2 + 7. Determine x(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -60383429\nAnswer: 5\/60383429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194136*u**2 + 16*u**3 - 194136*u**2.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 4.97. Let p(r) = r**2 + 22*r - 26. Let q be p(-23). What is the nearest to -1 in q, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 191.\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times -0.5?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4130 is divided by 647?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - u**2)*(2*u + 7*u - 4*u) + 35*u - 4*u**3 - 35*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o + 7. Let j(p) = 7*p + 7. Let i(c) = 7*j(c) - 6*x(c). Let g be i(-6). Sort g, 5, -2 in decreasing order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 12:53 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. Solve -4*v - x - 5 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/571, -0.3, -0.01, 0.2 in decreasing order.\nAnswer: 0.2, 3\/571, -0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 51 and -15777612310.\nAnswer: -15777612259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*c + 14, 13000*c = 3*f + 12998*c - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.48. Let n = j - 0.5. Which is the closest to n? (a) 4 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2011\/6 + 335. Let d = 5.9 + -4.2. Let k = 2 - d. What is the biggest value in k, 0.9, t?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.775 - -1. Round g to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17548*t**2 + 2967*t**2 - 469*t**2 + 10482*t**2 - 1209*t**2.\nAnswer: 29319*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 4*r - 8*r + 3*r - 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 6. Let n(y) = 3*y + 7. Let d(w) = -7*g(w) - 6*n(w). Let u(r) = 192*r - 378*r + 191*r. Calculate -8*d(h) + 5*u(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1\/6 (c) -1\/6 (d) -1\/3 (e) 48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**3\/5 + 528*c**2 + 13276*c\/5 + 3192 = 0.\nAnswer: -3, -2, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*u + 67. Sort -5, -2, u in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 7*k + 4. Let i be o(-4). Let d be ((-2)\/(4\/(-58)))\/1. Suppose -3*m = d - 137. Calculate the greatest common divisor of m and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*r = -613045, z - 305639 + 101268 = -4*r. Let q = z + -317355. Round q to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r = -2*r. Let v(t) = -9*t - 84. Let y be v(r). List the prime factors of (y\/16)\/((-21)\/1036).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3 - 2) + (16 - 16) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1121396*m**4 - 503179 wrt m.\nAnswer: 4485584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355697 to the power of 1\/2, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061844079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -102. Suppose 0 = -4*h + 4*c, -h - 14 = 5*c - 2. Is h at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**3 - 2*l**2 + l + 4. Calculate the remainder when v(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240419 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 + 5*g - 4. Let q be r(2). Factor 1\/7 - 1\/7*l + 1\/7*l**3 - 1\/7*l**q.\nAnswer: (l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*o - 25. Suppose -3*s + 600 + 275 = -2*i, 5*i = o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -8, -3.31, 48, -0.2, 1 in increasing order.\nAnswer: -8, -3.31, -0.2, 0.1, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5\/2 + 2394*r**4 + 1915179*r**3\/2 + 1896051*r**2 - 3830382*r - 7622508 = 0. What is r?\nAnswer: -797, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/3*(144\/(-32) - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 4. Suppose 23 = 4*r - p. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174530203487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 + 21*f + 3. Let x be j(7). Let v(z) = z**2 - 3*z - 1. Let n be v(x). Which is bigger: -2\/57 or n?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 8 (b) -3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 3439?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6010906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3860 and 1133296?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 284*r - 2. Let k(q) = -8. Let o(u) = -2*u + 96. Let a(n) = -12*k(n) - o(n). Calculate h(a(t)).\nAnswer: 24*t**2 + 568*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80295?\nAnswer: 3, 5, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -687 + -4?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57742, 57685, 57628, 57571, 57514, 57457?\n\"Answer: -57*a + 57799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -89. Let x(s) = -4*s + 89. Let n be x(u). What is the highest common factor of n and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2878697645\/306 - -9407499. Let v = o + 146\/17. Find the common denominator of -65\/8 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -21?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3)*v)*(v\/(v\/(v*(v**(-2\/5)*v)\/v)))\/v)**(5\/8)\/((v\/((v**0*v*v)\/v)*v**(2\/5))\/(v**(-6)*v**(1\/6)*v)) assuming v is positive.\nAnswer: v**(-433\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8058 and 89\/754.\nAnswer: 3037866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905 > 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:39 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l - y, 1 + 35 = 3*l + 3*y. Solve 0 = 4*i - 5*q + 1, 3*i - 7*q + 15 = -l*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 85 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105865253.\nAnswer: 13, 1523, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17619210 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 6*a - 6*a + 9*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + d**2 + 5*d**3 + 29171*d + d**4 - 29213*d to the form o*d**4 + a + y*d + f*d**2 + j*d**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1123 - -1115) + 2\/1 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0) + (-20)\/(-4). Suppose 4 = 2*j + 4*u, -u - 15 = -s*j - 6*u. Let a = 1.06 + -0.06. Sort 2\/17, j, a in descending order.\nAnswer: j, a, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9185 rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bozlzo. Give prob of picking 1 z and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:39 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = 5*h, 2*j + 17 = -5*h + 7. Suppose -5*k - 5*b = -0*b + 15, -2*b - 14 = 4*k. Let n be (4 + k)\/(j + 3). Put n, 2, -2 in ascending order.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119295465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*x + 11*x**3 + 4*x**3 + x + 14*x**3 wrt x?\nAnswer: 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 16498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 + -0.14. Suppose 0 = -3*l - 0 + 15. Sort l, -2\/7, v.\nAnswer: v, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 7, m: 1, j: 3, w: 5}. Give prob of sequence jwa.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1810, 7926, 18350, 33082, 52122?\nAnswer: 75470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28805723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:44 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (423\/12*22\/99)\/(1701\/(-10206))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38164 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3. Let a(m) be the third derivative of -m**5\/30 + 5*m**3\/6 - 3*m**2. Let y(o) = -3*a(o) + 5*x(o). Let r(n) = n**2. What is r(y(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 1 - 1)*(-2 + 4 + 6).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 65\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/4 + a**3\/6 + a**2\/2 - 2*a. Suppose 0 = g + 2*y - 6 - 13, 3*y - 74 = -5*g. Let v = 12 - g. Give j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j - l = 227, -j - 3*l = -239. Let z be (1 - (-14)\/(-8)) + j\/40. Solve 2*n - 4 = 4*t - 2*n, -7 = -2*t + z*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.01 - 0.01. Let b = j - 6. What is the biggest value in b, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7274 - -19189. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 846aab?\nAnswer: -846aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1.09, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**7 + 0*b**5 + 0 + 0*b**2 + b - 1\/28*b**8 + 5\/12*b**4 + 0*b**3 + 0*b**6. What is the third derivative of z(x) wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 138 = -z - 5182, -3*w + 2*z + 3985 = 0. Let t = -927 + w. Suppose 0 = -2*u + 4*y + t, -3*u + 594 = -4*y + y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*h + 3 - 3*h + 0*h + 2*h + 0*h - 3 + 3 + h + (-h + 2*h + 0*h)*(-2 + 5 - 1))*(1 - 2 + 2).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2500 is divided by 170?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2099 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 5*q + 5. Let f(o) = 2*o - 2. Let k be f(3). Suppose k*b = 2*j + 2 - 0, -26 = -4*j - 2*b. Determine l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 6*w - 42 = 0. Let u(v) be the first derivative of -3\/5*v**5 + 2*v**3 - 5 + 0*v**4 + 0*v**w + 0*v. Find the third derivative of u(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101101111110010000 - 10010?\nAnswer: 1110101101111101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**5 + 5*v + 0*v**2 + 1\/10*v**6 + 0 + 1\/2*v**3 + 0*v**4. Find the second derivative of a(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 34400004 = 4*v, 17200004 = c + c + 4*v. Suppose k + c = -k. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, i: 3, s: 1, u: 4}. Give prob of picking 1 s and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*h - 351*r + 355*r, -18*r + 6 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -j + 5*k - 4*k, 0 = 4*j + 4*k - 48. Solve 3*u + 2*m = 6*m + j, -5*u + m = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6*o = -g - 8, -o = -g - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3663\/(-21))\/(-1) - 1. Let m be 7\/((-1568)\/(-39660)) - 0. Let c = l - m. Calculate the common denominator of c and -97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - z**2 + z + 5. What is the remainder when 16 is divided by t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 2*b + 0*b**4 + 23\/6*b**3 + 0*b**2 + 6\/5*b**5 + 0. What is the second derivative of x(j) wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*m**2 - 7*a**3*m - 69*a**2*m - 88742*a*m**3 + 3*a + 4*m**2 + 1 wrt m.\nAnswer: 2*a**3 - 532452*a*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*u - 189*u + 1142 + 2836 = 0 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567))\/(2*sqrt(441)))**2.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 13, j: 3, r: 3}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*y**4 - 4615 + 4615 - 3*y**4 - 5*y**4 + 5*y**4 + (y**2 - 2*y**2 + 2*y**2)*(3*y**2 + 3*y**2 - 5*y**2).\nAnswer: 243*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 less than -846428711722?\nAnswer: -846428711716.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1529, 3 in ascending order.\nAnswer: -8, 3, 1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 3*p + 2, 0 = 3*k - 3*p + 12. Let w(i) = i**2 + 2*i + 1. Let g be w(k). Let s = 3 + -5\/2. Is s bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -8. Let n = -4 - u. Suppose 11 = -4*m + n*x + 31, 0 = -4*x. Solve 0*g = m*g + 5*k - 15, 0 = 4*g + k - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/7 - 2\/(-7). Let b be (-3748)\/336 - (-1)\/(-6). Let i = b + 47\/4. Is i greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 + -115. Let i = -7 + 6.8. What is the nearest to 0.1 in w, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*k - 24, -4*k - 4 = 2*f + 8. Suppose -376 = -f*b + 4*t, 0 = 2*b + b - 4*t - 287. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4)*198\/(-891)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 3, t: 6, x: 1, n: 2, g: 2}. Give prob of picking 1 t, 1 g, and 2 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 4*w)*(w**3 + 2*w**2 - 2*w**2 + (5 - 5 - 3*w**2)*(0 + 0 - 2*w)).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232016.\nAnswer: 2, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614 = 280*m - 3599 - 547 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 + 85*f**3\/9 - 122*f**2\/3 + 124*f\/3 + 241. Factor s(d).\nAnswer: (d - 2)*(d + 31)*(3*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 77*t + 135. Let f(r) = -4*r**2 - 76*r - 136. Let h(k) = 4*f(k) + 3*s(k). Calculate the lowest common multiple of h(-2) and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:58 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -272*f + 45. What are the prime factors of n(-8)?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akkk when four letters picked without replacement from kkakksaakxahaksaxv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -5*g. Let f be (16\/14)\/4 + (-1515)\/35. Let n = 53 + f. What is the lowest common multiple of g and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-287)\/(-15) + (-12)\/90. Let i = -10 + c. Let n = 13 + i. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -28 - 24*z + 49*z - 22*z. Let r be s(10). Let p(c) = 61*c**2 + 2 - 129*c**2 + 64*c**r + 2*c**3. Calculate p(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*p + 5792*c**3 - 60*c**2*p - c**2 + 5*c*p - 3*p + 18 wrt c.\nAnswer: -6*p + 34752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 + 264. Solve -4*l - 5*v - 6 + 3 = 0, j = 3*v + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let r(v) = 4*v - 2. Let c(a) = 8*a - 5. Let o(n) = -2*c(n) + 5*r(n). Determine h(o(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3 + 12 + 3*f + 2*f. Let s be 4\/54 - (-1943)\/(-1809). Let j be b(s). Solve -j*i = -9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9\/l**19*((l*l**(-12))\/l*l)**(-2) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-8 - (-11 - (-19 - 1)))) + -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + sqrt(20))*-5.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s - 10. Let b = 1 - s. Is (2 + b)*1*38 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/2 + 14*j**3 + 70*j**2 + 96*j + 204. Determine m so that r(m) = 0.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -3241440?\nAnswer: 3241443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, -5*o = -3*o + d - 24. Suppose 3*r = 8*r + 5. Let h(u) = 5*u**2 - u - 2. Let c be h(r). Calculate the highest common divisor of c and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, v: 3, k: 2}. Give prob of sequence kkb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - (-534)\/90. Which is smaller: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let f(p) = -p**2 - 1. What is f(c) + r(c)?\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5699*q**4 - 51*q + 1287747 wrt q?\nAnswer: 22796*q**3 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t**(2\/11)\/t)\/t))\/(t**(-1\/16)\/t))**4*((t**5*t*t)\/((t\/((t\/(t*t\/t**(2\/15)*t))\/t))\/t*t))\/(t\/(t**(-7)\/t*t)*(t\/t**(2\/7))\/t) assuming t is positive.\nAnswer: t**(32071\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 612725450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 19*x - 26. Suppose 4*y + 16*r - 86 = 13*r, 3*r = y - 14. Give a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, q: 2}. Give prob of sequence qx.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 + 5*n + 6. Let z(j) = -2*j**3 - 13*j**2 + 10*j + 12. Let o(p) = 9*m(p) - 4*z(p). Let b be o(-3). Solve -v + b*v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/300 and 51\/10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.6 + 25. Let x = -0.03 + 2.03. Let g = x - 2. What is the biggest value in u, g, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -68*j**2 + 20*j + 43. Determine m(-2).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44786 is divided by 5595.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 79*s + 5384. Let p be j(-68). Solve -6*q - p = -36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27759, -3, 8, -4 in decreasing order.\nAnswer: 27759, 8, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9036 + 16058?\nAnswer: 7022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s*y**3 + s + 315*y**3 + 30*y wrt y?\nAnswer: -12*s*y + 1890*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9433331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 3230.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 2, 1, -25\/3, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017090294.\nAnswer: 2, 23, 61, 449, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 33 + 9. Which is the second biggest value? (a) z (b) -0.3 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {v: 4, x: 9, j: 3, s: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3042, -12135, -27290, -48507, -75786, -109127?\n\"Answer: -3031*p**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 25 + 16 - 3*x as k*x + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.233 + -1.603. Let q = 0.37 + h. Is q not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -670 - -675. Solve 0 = -2*t - i - h, 5*i = 3*t + 5 - 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose -2*y = -h + 4*h, y = t*h. Suppose l = -y*l. Solve g - 3 = -r - l, 5*g = 2*r + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.9 + -6.1. Let f = u - 4. Is 0 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-12)*(-1796)\/(-66). Let w = c - 41. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -9)\/(-2) + -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 = 12. Suppose 2*l - 10 = -2*d - r*l, 4*l = -16. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 0, -6, -14, -24, -36?\n\"Answer: -z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -7 + (-796)\/(-414). Let o = k - 10063\/1035. Find the common denominator of o and -41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6270\/8778 + (-107)\/189.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x + 0*x + (1 - 1 - x)*(-2 + 3 - 4)*(-2 - 2 + 5 - 140 - 96 + 61 + (-3 + 3 - 2)*(-1 + 1 + 1)) to u + f*x and give f.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -31 - (1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506744965?\nAnswer: 5, 11, 27395363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -6143*m**4\/12 - 1641*m**2 + 413*m + 3. What is the first derivative of j(u) wrt u?\nAnswer: -12286*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -b1?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 830521 and 155.\nAnswer: 4152605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0983 or -175?\nAnswer: 0.0983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 4.06. Let w = 1 - 0. Let i = w - 0. Which is the second smallest value? (a) i (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 23*l**2 + 34*l - 199. List the prime factors of v(19).\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/3, 124?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33061.2 - 33061. Let u be 1*2 - (-10)\/(-6). Which is the nearest to z? (a) 2 (b) -3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/6720 - r**6\/240 - r**5\/30 - 2*r**2. Let a(x) be the third derivative of d(x). What is the derivative of a(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(6\/25))\/z*z*z)\/z)\/z**13 assuming z is positive.\nAnswer: z**(-294\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6644 and 220?\nAnswer: 33220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2e888b (base 15) to base 14\nAnswer: -42a459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5411419 + -5411377.96059. Let u = o - 40.7394091. Let p = -0.3 + u. Round p to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 2*q + 155 = -5 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*u + 1)*(4*u**3 - 3*u**3 + u**3) + 0*u**4 - 2*u**4 + 7*u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -22. Suppose -h*g + 3 = l, -g + 5*l = 9 - 27. Let v be 405\/10*10\/g. Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 5, l: 7, w: 5}. What is prob of picking 3 l and 1 y?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*t - 46*t - 12. Let s = -10 - -12. Let x be ((s - 2) + 2)\/1. Solve -p - t = -x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026022 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 9 + -1 + -1. Suppose -3*s - 2*m + x = -m, -5*s = -2*m - 19. Factor -s*j**2 - 5*j - 4*j**3 + 3*j**3 + 3*j.\nAnswer: -j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (2*sqrt(76)*-3 + sqrt(76)))\/(sqrt(4) - (sqrt(16)*4 + sqrt(4) - sqrt(4))) + 0.\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*c - 25*c - 122*c + 4 + 0.\nAnswer: 6*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40242151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from wglwwwgwwwwllgwgww?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 185253 = -103167. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 39 + 20 = 2*q, 2*q - 4*b = 56. Suppose 3*c = c + q. What is the highest common divisor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84020?\nAnswer: 2, 5, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 22692*g - 21. Let l(r) = -19*r**2. What is v(l(i))?\nAnswer: -722*i**4 + 431148*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 1. Let j(o) = -o**2 + 2*o - 3. Let x(w) = j(w) - 2*p(w). Let y be 2\/4 - (4 - (-875)\/(-10)). Let k = y - 90. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1636 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.58341 months to years.\nAnswer: 13.2986175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*w - 99*w + 7. Let x(m) = m + m - 13 - w*m + 4*m. Determine x(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -245, -489, -733?\n\"Answer: -244*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/2 - 6589*y\/2 + 2197 = 0. What is y?\nAnswer: -2197, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 3*b**2 + 6*b + 2. Let h be n(-4). Let y = h - -3. What is the closest to 1 in y, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 29730*f + 1516229. Calculate n(-51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/45 - 4)\/((-1)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j - 2*j)*(-1416*j + 8859*j + 2094*j).\nAnswer: -9537*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 1 + sqrt(405) + 1 + sqrt(405) + sqrt(405) + 1)*-6)**2.\nAnswer: 7776*sqrt(5) + 233604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*h**2*z + 2*h**2 - 1290*h*z + 2*h - 2*z + 104919 wrt h.\nAnswer: 24*h*z + 4*h - 1290*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1663691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/((-4)\/9))\/((-795)\/26500). Suppose -330 = -12*u + w. What is the greatest common factor of 104 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -176, 5*x - 2*x + 0 = 2*z - 5 - 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 - 2*n + 1. Let x be g(5). Let c(h) be the first derivative of h**3 + 13*h**2\/2 + 5*h - 12. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 15. Let t(h) = -13. Let r(a) = 6. Let f(n) = 6*r(n) + 3*t(n). Calculate -11*f(l) + 2*i(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152071847.\nAnswer: 3, 128007983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 54. Let k be (8\/(-20))\/(29\/s - 3). Solve -k = -0*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 148, 258, 250, 64, -360?\n\"Answer: -10*h**3 + h**2 + 177*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l*l\/(l\/l**5)*l*l)))*l**2\/l)**(-2\/75))**(1\/3) assuming l is positive.\nAnswer: l**(4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x + x + 5*x - 13*x - 1 to the form q + n*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.2 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 22892.965?\nAnswer: 22892.965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -15507*(3 + (-48)\/15) - (-3)\/5 and 564.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 820 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31655644 a multiple of 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*h - 24 = -j, -j + 4*h = 18. Let y(x) = 568*x - 15. Is y(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228209.055 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*b - 3*b - 15 = 0, -2*b = m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(27)\/sqrt(3)))\/(sqrt(648)*-2)*-6.\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13706 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(9)\/sqrt(3)*3) - (3 + 1 + sqrt(1216)).\nAnswer: -23*sqrt(19)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 14}. What is prob of sequence xx?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-10))\/(5\/25). Let o(j) = 2*j**2 - j**2 - h*j**2 + j**3 + 3 - 3*j. Suppose -2*k = 4*l - 6, -4*k + 5 = -3*l - 7. What is o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from {q: 12, o: 3}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 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: Solve 5*a + 56*i = 59*i - 53, -7*a + 5*i = 87 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is prob of picking 3 v when three letters picked without replacement from {v: 7, a: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (-4 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 1. Let s = -92600 + 92605. Which is the third biggest value? (a) v (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p - 31*p + 41*p + 119. Solve p*q = -5*l + 3*q - 7, -5*q = 4*l + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i - 92 = 124. Which is the smallest value? (a) 1 (b) 2107 (c) 0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 10*r**4 + r**2 - r**3 + 3587 + r - 3591 to z*r**2 + x + d*r + a*r**3 + g*r**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -0.34 (c) -2\/11 (d) 2\/205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*j - 1 - 65, 0 = 5*j - 15. Let a = 20 + n. Suppose s = 4*i - 92, 4*i + a*s - 99 + 19 = 0. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-11 + 6 - -10) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 25*j + 7 = 21*j, 0 = -4*k - j + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 + 26*x + 471. Calculate c(-10).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, y: 12, g: 1}. What is prob of picking 1 a and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5933 is divided by 248.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -20, -23, -16, 7?\n\"Answer: i**3 - 4*i**2 - 2*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**6\/10 - 4*w**3\/3 - 2*w. Find the second derivative of g(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1355*g**2 - 21*g - 22. What is the tens digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 419634 and 392388.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3911 - 0.0911. Let s = -1 + 15. Let u = 13.8 - s. What is the second biggest value in w, 1, u, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w, 5*w + 12 = o + 3*w. Let h(v) = 6*v**3 - 4*v**2 - 8*v + 20. Let u be h(2). Let r = u + o. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(13510\/(-193))*(1 - -79).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 5278.\nAnswer: 6\/2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -51\/5578789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104113 (base 12) in base 4?\nAnswer: 332132133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 32*c**2 - 620*c + 1800.\nAnswer: 4*(c - 5)**2*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1482 divide 38252983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 1, n: 1, y: 1, p: 1}. What is prob of picking 1 b, 1 s, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72\/17208407 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -3203 and -3202 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20593000 rounded to the nearest one hundred thousand?\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbbnbibbibnibii. Give prob of picking 2 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 501 and 92949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.459835 micrograms?\nAnswer: 0.002459835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-4)\/w)))\/w)**(-20)\/(w*w**(1\/2))**16 assuming w is positive.\nAnswer: w**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14399*c + 1414049906 - 1414049906 to a + t*c and give t.\nAnswer: -14399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 2.235?\nAnswer: -2.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a day in minutes?\nAnswer: 28320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - (-412)\/6. Suppose 5*r - 479 = -z. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, m: 5, z: 2, r: 3}. Give prob of sequence mm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24))\/((-10)\/(-30)) - 2\/((-25032)\/(-6426))?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 + -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 6*s - 17010. Let j = 116221\/41 - s. What is the common denominator of -29\/11 and j?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m - 12. Calculate the least common multiple of m and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1833619*q**4 - 3362069*q**2.\nAnswer: 44006856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (224\/2240)\/((-1799)\/2940 - (-3)\/5)\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 21*u + 7. Let f(x) = -2*x**2 - 18*x - 6. Let o(d) = 7*f(d) + 6*v(d). Let m(s) = 184*s. What is o(m(i))?\nAnswer: -67712*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12439.3068 - 12436. Let p = k + -3.3. What is p rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 2, d: 2, p: 5}. Give prob of picking 2 e and 1 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1187bb?\nAnswer: -1187bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 7*d - 3*d + 6, 5*d - 3*f - 9 = 0. Suppose -3*o + 14 = h, 2*h + d + 8 = 3*o. Solve -12 = -5*i - 4*m, 0*m = o*i - 4*m + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 51)*(0 - ((-186)\/36 + 4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efef when four letters picked without replacement from {e: 5, f: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.8 - -99.78. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 61 = 71. Let j = 66 - n. Suppose j*x + 5*x = 8285. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1807760 divided by 4.\nAnswer: -451940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-2\/77))\/t))\/(t\/t**(-8\/3)))\/(t**(3\/5))**(-6\/35) assuming t is positive.\nAnswer: t**(-14956\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 902, 0, -97, 0.5, -2\/17, 3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 8*b + 12. Let h be z(7). Suppose h*n - 5*t = -471 + 1496, 2*n - 403 = -5*t. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-3)\/(-80))\/(5\/(50\/6)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 - 4*s - 2 + 5 + 0 + 2*s. Suppose 0*k - 3*k = 9. Let g(d) = -11*d**2 - 5*d + 8. Give k*g(z) + 8*o(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 532*z - 23181. Give l(44).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 302752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2345\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {g: 1, m: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 190097129 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 6 - 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34624 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 16 - 26 - 90)*(-2*v**2 - v**2 + 5*v**2)*(2*v**2 + v**2 - v**2).\nAnswer: -848*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 22*d - 23. Let j be g(10). Is (0 - -387) + 2\/j*-3 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) 106 (b) 1 (c) -9 (d) -0.176 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + v - 6*v)*(-2*v - 5*v + 3*v).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10)\/((-2)\/65). Suppose -48 = 7*t + 5*t. Let m be t\/20 + (-1953)\/(-15). What is the highest common factor of s and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v - 22*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/7 - 176*z**3\/7 + 140*z**2 + 9504*z\/7 - 4608 = 0. What is z?\nAnswer: -48, -7, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 299\/4 (b) -1084 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1363, 6268, 15947, 31636, 54571, 85988, 127123?\nAnswer: 179212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437 is divided by 317?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/(1\/12). Suppose q + 5*u - d = 0, 3*q - 31 = -2*u - 3. What is the lowest common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 144.\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:21 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-2) - 2)*112264\/(-110). Let g = s + 2554. Find the common denominator of g and 25\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24 and -167\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60137, 240562, 541271, 962264?\n\"Answer: 60142*z**2 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -97 - (-23 + 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6421072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.13 (b) 5 (c) 1\/15 (d) -0.4 (e) 0 (f) -0.5 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3 - 2. Suppose b - 4 = -b. Let v(h) = -3*h**b - 3*h**2 + 5*h**2. Determine z(v(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 9*o + 28. Suppose 81 = 2*x - o. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*y - 2265, -g + 3*g - 4528 = 5*y. Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 + 13*n**2 - 6*n + 1. Let m(z) = 13*z**3 + 25*z**2 - 11*z + 2. Determine 11*j(g) - 6*m(g).\nAnswer: -g**3 - 7*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651911 divided by 50147.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*p**3 - p - 135 with respect to p.\nAnswer: 321*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*c + 576*c + 505*c - 1751*c + 1.\nAnswer: -127*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 196*r + 386*r - 9 + 4.\nAnswer: 582*r - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 239546479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 899*j**2. Let s(t) = 2011*t**2. Give u(s(l)).\nAnswer: 3635664779*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/56 + 12)\/((-4)\/(-14))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(112) - sqrt(112)*-1) + sqrt(112))**2.\nAnswer: -96*sqrt(7) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 19 + 9)*(7 - 2 - 2)*(0*a - 4*a + 0*a) + (2 - 1 + 1)*(-4 + 2*a + 4) as m*a + b and give m.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2383 divide 105228514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from dbddcddwd.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19683\/8 + 2467. Let s = 347337\/32 - 10852. What is the common denominator of a and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 4*r**2 - r - 3. Suppose -4*i - 6 = -2*i, 3 = -4*t + 3*i. Determine q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/5, 0.183 in increasing order.\nAnswer: -0.3, 0.183, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -49 - (-12 - (2 - 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/20 - h**3\/3 - 16. Let j(z) = 0. Calculate z.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251 and 5303630?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42635.\nAnswer: 5, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27208 and 228?\nAnswer: 81624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1031 + -989 + (1 - 30)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + b**2 + 2. Suppose -4*x = -91 + 75. Suppose 0 = 3*p + 5*r - 11, 0*p + r - 9 = -x*p. Determine w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22638 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j = -5*s - 4, 5*s + 10 = 0. Suppose 0 = z + j. Let w = 0 - z. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + -1)**2.\nAnswer: -54*sqrt(2) + 1459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -193\/9 (b) 12\/35 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*j - 5*j = -4, j + 1 = -h. Let o be 4\/(h\/(-4)*-2). Let l be (-2)\/o - (-18)\/24. Solve -3*s + 7 - l = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 18*b + 38. Calculate j(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, 2, -61 in descending order.\nAnswer: 2, 1, -1, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 22*v + 60. Suppose -323 = -30*g + 397. Let y be n(g). Calculate the highest common divisor of 192 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 38. Let y be k(-12). Suppose -105 = -27*r + y*r. Calculate the greatest common divisor of 231 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 40*g + 1. Let m(b) = 0*b + 12 - 2*b + 4 + b. Let v be m(12). Is k(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 1843?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 9*r - 3. Let m(a) = -a**2 - 10*a + 4. Let p(h) = -4*g(h) - 3*m(h). Calculate p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1599, 4, -2228 in increasing order.\nAnswer: -2228, -1599, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19567366040 rounded to the nearest one million?\nAnswer: 19567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 - 3. Let f be h(4). Let b be (-7)\/14 - 293\/(-2). Let d = b - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c = -53*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 64 (c) -0.3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(5*sqrt(33)\/sqrt(3)) - (0 + (5*sqrt(63))**2)) + 1.\nAnswer: -1574 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w - 629 = 59. Let a(m) = m**3 + 19*m**2 + 6*m + 8. Does 15 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 + 5533*u**2 - 29130*u + 6200.\nAnswer: (u - 5)*(u + 620)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11302551 and -17\/351.\nAnswer: 11302551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 878547013.4 to the nearest 1000000.\nAnswer: 879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 2, l: 1, w: 1}. What is prob of picking 1 w, 1 l, and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3855674410 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -905.7844 rounded to the nearest integer?\nAnswer: -906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -3, -0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 47*t - 18. Does 4 divide a(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1379 = -8*k - 1331 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:36 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-11)\/(m**(-2\/33)*m**(-1\/5)) assuming m is positive.\nAnswer: m**(1253\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8334)\/(-63) + (-2)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*f + f, 0 = -w + 4*f - 10. Let r = 2361\/20213 + 1\/1189. Let -4\/17*c - r*c**w - 2\/17 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5187385 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 220, 1686, 5662, 13402, 26160, 45190?\n\"Answer: 209*b**3 + b**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-20)*(-14)\/63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 18 = -5*o + 13, r + 28 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 168 in decreasing order.\nAnswer: 168, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2275100 + 22.\nAnswer: 2275122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l + 327*l - 109*l - 104*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 9.726552.\nAnswer: 19.726552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 9*x + 23. Let q be y(-3). Which is smaller: q or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170417544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21121 + 21121.2. Let p = 1 + 1. What is the third smallest value in 3\/7, -5, p, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140452 and 444?\nAnswer: 421356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b + 15. Let r = 8 + b. Let n = 7 + -2. Solve 5*l - n = 2*q, 4*q - 3 = -r*l - 0*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*v - 3143 = -450*v - 135*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*b + 4*b + 2 = 0, 5*u = -5*b + 5. Calculate the least common multiple of 8 and ((-5)\/2)\/(u\/(-16)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)*-1 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stfssttfsftsss. What is prob of sequence tf?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2258*u**3 + 55758*u**2 - 379038802*u wrt u?\nAnswer: -13548*u + 111516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 4*i - 1. Let b be u(-3). Let s(f) = 2*f - 8. Let g be s(6). Solve b*j - j = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-6)\/(-9))\/(2\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 25 = -7*j. Let k(s) = s**3 - 4*s**2 - 5*s + 7. Let t be k(5). Suppose -2*c + t = -j. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185b (base 16) to base 4.\nAnswer: -1201123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43251 (base 7) to base 12.\nAnswer: -6293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 4\/5 (c) 0.2 (d) 1 (e) -25 (f) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 98 (c) 11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by ((-32)\/80)\/(2\/(-1490)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3. Let z(r) = 2*r**3 + 2. Give -2*w(l) + 3*z(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 435?\nAnswer: 10875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4336*t + 294*t - 319318 = 0 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1434 divided by 1\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -1, 1, 275, 0.004?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z + 5. Let r(d) = d + 1. Give -g(p) + 6*r(p).\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 67\nAnswer: -28\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -42, -78, -124, -180, -246, -322?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 8 - 2005 = 66*z - 53 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*k - 2*z - 24, -25*k - 2*z = 35 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:32 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18102)\/462 - 24\/(-132).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.51673138 - 0.11623638. Let u = -27.4 + t. Round u to five dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/354265 and -40\/921089?\nAnswer: 4605445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 82641*h**2 + 3*h + 82641.\nAnswer: -3*(h - 1)*(h + 1)*(h + 27547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15469431.8 rounded to the nearest 10000?\nAnswer: 15470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 4*v - 2*v - 2*v. Let s(d) = -3*d. Give s(u(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42840, 42859, 42880, 42903?\nAnswer: 42928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(117)\/sqrt(3))\/(sqrt(108)\/sqrt(4)) + (2 + -2*(sqrt(117) + -1))**2.\nAnswer: -46*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 2*l**2 + 3*l + 6. Let k be v(5). Let z = 83 + k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 348*m + 2534.\nAnswer: -2*(m - 181)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233 - 1?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/sqrt(7) - sqrt(19)) + 0 + sqrt(19) + (sqrt(95) + -3*sqrt(95))\/sqrt(5))**2 + -2 + (sqrt(76) + -4*(sqrt(76) + 1*sqrt(76)))\/(sqrt(324)*-2)*1.\nAnswer: 7*sqrt(19)\/18 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*-2 + 568. Suppose 0 = -10*l - t - 85. Let r = -29 - l. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 839*l**2 - 35118555*l\/4 - 25600146399\/2.\nAnswer: (l - 8318)*(l + 2481)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 + (-851)\/(-148)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/69)*d**(3\/14)*(d*d\/(d\/((d\/(d*d**(-11\/3)\/d))\/d)))\/d**21)**(2\/13) assuming d is positive.\nAnswer: d**(-5181\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -446118, -446115, -446112, -446109, -446106, -446103?\n\"Answer: 3*n - 446121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 108 + 20. Determine w, given that 1\/2*w**u + w + 0 - w**3 - 1\/2*w**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + -1.98. Let h be (-34)\/(-4) + -2 - (-1)\/(-2). Suppose 7*s = h*s - 3. Which is the closest to -4? (a) s (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000979637282 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*c**(-25)*c*c)))**(1\/8)\/(c**2\/c**(-23)))**(-18\/5) assuming c is positive.\nAnswer: c**(1989\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87744, -87741, -87738, -87735, -87732, -87729?\nAnswer: -87726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*f = -4*f - 28, 55 = 5*l - 5*f. Let b = -43 - -38. Let v = 67 + b. Calculate the remainder when v is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 15. Let o be t(-24). Let c = 927 - o. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 12*o - 14*o + 3, 0 = 3*x - 2*o - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(6786\/1044*(-2)\/182*-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8088.06 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88022546 and 51822?\nAnswer: 792202914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-315)*-1*(-27)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 <= -60918\/389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153) + -2)**2*-2) + -4 - (1*(sqrt(153)*3)**2 - sqrt(153))*3) + -5.\nAnswer: -2908 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*v**3 + 3*v**2 + 1906850*v - 709140054 with respect to v.\nAnswer: -60*v**2 + 6*v + 1906850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 220. Let s = b + -80. Let n be 5*1\/((-5)\/(-22)). Calculate the greatest common divisor of s and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4311546234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*j**6 + 41*j**2 + 7*j**2 + 4*j**2 - 44*j**6 - 10*j**6 wrt j?\nAnswer: -27840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 483812\/1665 - 2\/(-10). Which is bigger: 291 or z?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(242))*-3 + ((0 + sqrt(242))*-2)**2 + 5)*6.\nAnswer: -198*sqrt(2) + 5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/8 + -19\/8. What is the nearest to w in -4, -1, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 25. Calculate the remainder when 24 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6068774*y + 8096. Let a be q(4). Round a to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1003275)\/(-14))\/(-15))\/((-9)\/18) a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5657*y + 1714*y + 254*y**2 + 8758*y + y**3.\nAnswer: y*(y + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 divided by -3?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2463.925 weeks to milliseconds.\nAnswer: 1490181840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78.90797924 - -5.66\nAnswer: -73.24797924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, x: 1, s: 2, p: 4, g: 3}. Give prob of sequence nnx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 2 - 1 + 4 + 0*s. Let k(d) = d - 6. Let z(w) = -6*w**2. Let g be z(-1). Determine g*k(o) - 7*x(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49593 and 765033?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let a(o) = 29*o - 521. Let y be a(18). Let v(n) = 2*n**2 - 10*n - 3. Calculate y*v(w) + 6*g(w).\nAnswer: 2*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = -k. Suppose 46 = 8*d - 3*d - 4*b, k*d = 3*b + 17. Solve 4*n = 2 - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/52 + -71\/156. Which is the nearest to -1? (a) x (b) -0.2 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 30*v - 73. Let c be 2*(-16)\/(-6)*12. Suppose 2*x - 193 + 41 = -2*f, -c = -x + 3*f. Is v greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 0.2 (b) -5\/4 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/9)\/u*u*u)\/(u\/(u**(-3)\/u)*u))\/(u**0)**(-2\/35) assuming u is positive.\nAnswer: u**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 8*r + 9*r + 12*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 - 9*p + 8. Let n be b(-9). Find the common denominator of ((-162)\/40)\/(n\/(-20)) and 49\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppxzxzpxx. Give prob of sequence xzzx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -788 + 788.2. Which is the second smallest value? (a) -6 (b) i (c) -3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 1574*n - 336345. Give d(-255).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*v - 5*f, 9*f = 13*f + 4. Let g(p) = 4*p**3 + 3*p**2 + 6*p + 8. Let t(j) = 3*j**3 + 4*j**2 + 6*j + 7. Let h(o) = -2*g(o) + 3*t(o). Give h(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 1\/160*l**6 + 0 + 1\/24*l**3 - 1\/48*l**5 - 1\/32*l**4 + 0*l + 1\/210*l**7 - 12*l**2. Let x(m) = 0. Calculate m.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1454 by -3.\nAnswer: 1454\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from yudkud?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 13*y**2 + 11*y - 27. Let x be b(6). Solve -5*c - x - 17 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18719152, 0.01, -0.1.\nAnswer: -0.1, 0.01, 18719152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a33 (base 12) to base 13.\nAnswer: -3057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -102*11\/((-66)\/78) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*p + p + 160480 - 160410, -61 = 4*p - h for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15))**5\/(r**(-27)*r\/r**(-18)) assuming r is positive.\nAnswer: r**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-76)\/2128)\/(4\/42). Which is the closest to -1? (a) 3 (b) -1\/54 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + -2 + 3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3\/7 - 72*n**2 - 15360*n\/7 + 32768\/7 = 0. What is n?\nAnswer: -64, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.5. Let o = 12 - 1. Let d = o + -8. Which is the smallest value? (a) j (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 20. Suppose 4*t - p = 8. Is (-2640)\/(-7 - -4) - t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 193.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1957301378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -22, -5, 0.5 in descending order.\nAnswer: 0.5, -0.4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = 0. Suppose z = 3*s + 5*q + 19, -s - 3*q - 21 = -4*s. Let u(t) = -4*t - 12. Let x be u(-7). Solve -s*p - 2*p = -x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 16. Suppose 0 = -3*m + 5*m - b. Suppose -j = j - m. Solve -y + j = -r, 0*y + y - 8 = 4*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/a**(2\/13))\/a)\/a)\/(a\/(a**4\/a)))\/(a**(-1\/2)\/a**(-4\/3)))\/((a*a**(-1\/7)*(a\/a**(1\/8))\/a)\/(a**(-4)\/a*a\/(a**(-4\/3)*a*a*a))) assuming a is positive.\nAnswer: a**(-4649\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9311 = -3*h - 1085. Suppose -h = -29*a + 23*a. What are the prime factors of a?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllj when four letters picked without replacement from ljjjjnjlnjljjjjnjj.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q + 15. Let s = -2947 - -2951. Let y(t) = 5*t + 7. Calculate s*d(b) - 9*y(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/360 + v**5\/30 - v**4\/12 - v**3\/6 + 2*v**2. Let p(b) be the first derivative of y(b). Let x = 9 + -5. What is p(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = -22. Suppose -g*u = 4*u + 5*u. Suppose 9*z - 8193 - 14100 = u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-13))\/(12932\/(-2942030))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n + 2*n - 2*n + 2 + 0 + n + 0 + (3*n - n - 4*n)*(4 + 0 - 2) - 3 - n + 3 + 4*n - 4*n + n - 4 + 22*n + 4.\nAnswer: 13*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 10127839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-8 + 0 + 1) - (2 - -6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 24. Let z = 2.09 + u. Let l = -0.29 + z. What is the fourth smallest value in l, 0.2, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 8 (c) -1 (d) 1\/8 (e) -134 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + sqrt(448) + 0))*-4)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6\/7, -4, 0.3, -17 in increasing order.\nAnswer: -17, -4, 0.3, 6\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 21 - (21 - 6 - 21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 5340\/11, -4.\nAnswer: -4, 4\/11, 5340\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1 (c) -4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 1. Let t = -4310 + 4312. Let p = -10 + 13. Let j be ((-1)\/3 - p)*-6. Let f(v) = -8*v**3 + 10*v**2 + 10. Calculate j*x(c) + t*f(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3761683?\nAnswer: 43, 87481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*t**4 + 12636*t**3 + 65883*t**2 + 34992*t + 4260 = 0 for t.\nAnswer: -71, -5, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1692*j**4 + 848*j**4 + 0*j + 840*j**4 - 2*j - 66*j**3 + 2*j**2 in the form u*j + n*j**3 + t + w*j**4 + o*j**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z - 12. Determine n(-20).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 + 128*c**3 + 4092*c**2 - 512*c - 16384 = 0. Calculate c.\nAnswer: -64, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 3, f: 6, k: 4, t: 2}. Give prob of picking 2 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -508074, -508054, -508034, -508014, -507994?\n\"Answer: 20*w - 508094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/11 and -79\/1050?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1802 + -1.0112. Let d = 0.931 + l. Which is the third biggest value? (a) d (b) -3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))\/(m\/(m\/((m\/(m\/(m\/m**(-6\/13)*m)))\/m*m))) assuming m is positive.\nAnswer: m**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 6471 and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -17*n + 3. Suppose -2*w - 3*k + 14 = 0, 0 = k + 4*k. Suppose 0 = n*i - w*i + 112. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + 2*i + 4. What is the least common multiple of p(4) and 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 82 = -2*a. Suppose a = 3*j - 8. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6651 - -6651.2. Which is the nearest to -0.1? (a) 2 (b) j (c) -16 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - 2 - (-8 + 11)) + 6 + -12\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Suppose -3*p + 4*f - 18900012 = 0, -3*p - 31500009 = z*p - 3*f. Round p to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1232229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4569\/350290*-15*14\/189\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*z - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 7*f + 4. Let a be b(7). Suppose 2 = -2*p + a*p. Is p bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 5*v)*(1 - 1 + 2*v) + (2 + 11 + 7)*(-v**2 - 3*v**2 + v**2).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 14. Let w be i(-9). Sort 5, w, 3 in decreasing order.\nAnswer: 5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*r - 15718 = 86*r - 319*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13574, -54261, -122052, -216935, -338898, -487929?\n\"Answer: 2*f**3 - 13564*f**2 - 9*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*u - r, -u - 3*u + 2*r + 16 = 0. Solve -2*c + u = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 19472544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 11. Let a(g) = g**2 - 6*g. Let h be a(6). Suppose h*q - 2*q = -32. What is the lowest common multiple of q and x(7)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(2\/13))\/g)\/(g*(g**(-4\/7)*g)\/g*g*g))\/(g**(-7)\/g**4)*((g\/(g\/((g*g**(2\/5))\/g)*g))**(3\/13))**(-29) assuming g is positive.\nAnswer: g**(5657\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -168. What is the smallest common multiple of (-24)\/(-132) - i\/33 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 91604803*k**2. Let l(o) = -3*o. What is l(m(f))?\nAnswer: -274814409*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1070*o**3*r**2 + 23*o**3*r - 8*o*r**2 - 73903*o - 2 wrt o.\nAnswer: -6420*o*r**2 + 138*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 144*o - 37. Let g(t) = -55799*t. Calculate p(g(y)).\nAnswer: -8035056*y - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3492747\/8 or -436593?\nAnswer: -3492747\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 1. Let h be g(-5). Let f(a) = -a**2 + 13*a + 14. Let x be f(h). Put x, -1, 2 in increasing order.\nAnswer: -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = d, -o + 6*d - 2*d = -19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 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: Let h(y) = -2*y - 8. Let n be h(-6). Let z be 1\/(-7*n\/(-8) - 3). Solve -z*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60675 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 192 = -g. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -3, -54, -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/12 + h**3\/3 - h**2\/2 + 6*h. Let t(w) = -5*w**2 - 9*w + 5. Let o be 1\/(-3) - 53\/3. Calculate o*k(f) - 4*t(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -5. Suppose 7*n = 33*n + 17*n - 473. Calculate the smallest common multiple of (-2 + f\/(-4))*-8 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6020 + -6017. Solve 6*b + 6 = 5*b + 5*s, c*s = -2*b + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*z + 31*u - 25*u, -11 = -5*z - 4*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 9\/2*t**5 - 105 - 95*t**3 - 1\/4*t**6 - 675\/4*t**2 - 243\/2*t - 45\/4*t**4. Factor x(a).\nAnswer: -3*(a - 9)**2*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3.69477\nAnswer: -1.69477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**6\/30 + n**5\/20 + n**4\/4 - n**3\/6 - n**2 - 3*n - 1. Let z(w) be the first derivative of b(w). Let z(a) = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14909, 59656, 134239, 238658, 372913, 537004, 730931?\n\"Answer: 14918*g**2 - 7*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) 0 (b) -37 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 791 + -1166. Let z = c - -626. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64410460 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 140*y**2 - 1225*y - 3430.\nAnswer: -5*(y + 7)**2*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 6*w - 3*w + (3*w - w + 0*w)*(-5 + 5 + 2) + (69 - 126 - 63)*(2 + 0 - 1)*(0*w + 2*w + 0*w).\nAnswer: -234*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20869 is divided by 585?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 + 351.9999829. What is m rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2 + sqrt(396) + sqrt(396) - (sqrt(99)\/sqrt(9)*5 + sqrt(11))) + 5)*-5)**2.\nAnswer: 8400*sqrt(11) + 44500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9408956768 plus 4?\nAnswer: -9408956764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -16, 177, -11, -4, 5 in descending order.\nAnswer: 177, 5, -4, -11, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 48 = -14*j. Suppose -j*s - 1334 = -18*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.3367 to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 2688652.\nAnswer: -6183899.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -130*d - 1. Let b be f(0). Put b, 2, 4, -110 in descending order.\nAnswer: 4, 2, b, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*f - 19792 = 117*f - 5*g, 3*f = g + 19816. Is 6604 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(240) + sqrt(240)*1)\/sqrt(12) - sqrt(80)*-3)\/(sqrt(576)*-2*-3) + -3)*4.\nAnswer: -11 + 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = 5*h, -5*o + 24 = -2*o + h. What is the greatest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q. What is the nearest to q in -2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n**2 + n**2 + 13*n**4 + 4*n**2 - 2*n**3 - 10*n**4 wrt n.\nAnswer: 72*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, 52, 0.4 in ascending order.\nAnswer: 0.4, 52, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2. Let t be 32\/14 + 6\/(-21). Let w(l) = 2*l + l - t*l + 0*l. Calculate z(w(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2) + -3 + 22. Let m be (30\/(-25))\/((-6)\/c). Solve -3*j = -t + 14, 0 = -m*t - j - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 47. Let i be (1 - -4)*(-272)\/170. Let d(c) = -12*c - 93. Let q be d(i). Solve q*u = 6, x = -j + 4*j - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 127032*r**2 + 16142463045*r\/2 - 338767676541.\nAnswer: (r - 127011)**2*(r - 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -306, -467?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -179*s**3 - 25*s**2 - 3. Let t(h) = 154*h**3 + 24*h**2 + 2. Calculate -3*t(o) - 2*v(o).\nAnswer: -104*o**3 - 22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (63780\/44646*((-308)\/(-305) - 1))\/((-3)\/(-7))\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*p**3 - 400*p**3 + 1084*p**3 - 330*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12453727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/4 + 3152673*d + 3313115681643 = 0.\nAnswer: -2101782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208\/7 - -30. Suppose -2*b = 2*v - 218, -v + 3*b - 107 = -2*v. What is the common denominator of 1 - (-1 + v\/4) and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 14 + (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106621102 divided by 2986.\nAnswer: 35707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) + 0 + 2) + 2 + -4*(sqrt(364)\/sqrt(63))**2.\nAnswer: -172\/9 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 6, k: 2, b: 2, w: 5, i: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/3 - 11*y**2 + 7*y. Let g be u(-12). Suppose g*h + h = -15. What is the nearest to -2 in h, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444960839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*n - 34. Let l = n - -3. Let g be 6\/(-10) - l\/(-35). Solve 0*w - 2*w + z = g, -3*w + z - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 19. Let x be (1\/(v\/(-136)))\/(2\/(-6)). Let k = -10 - x. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) 0.2 (b) -1\/7 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175661289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/((-5)\/(-15)). Let z(s) = -1 - 3 + s + 3. Let u(v) = v**2 + v - 5. Let m(q) = u(q) - 3*z(q). Determine m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/34)\/(7507\/(-382857))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17960, -57922, -124532, -217796, -337720, -484310?\n\"Answer: -y**3 - 13318*y**2 - y - 4640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/z*z**(-2\/19) assuming z is positive.\nAnswer: z**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let l = 4.77 - 17.77. Which is the second biggest value? (a) q (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -49. Suppose -b + 6*b - 67 = a*u, 2*u - 53 = -3*b. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -7 - (89 - 93)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241625 divided by -48325?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4590 and 22815?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 12*c - 17 - 5*c + 25*c + 0*c. Calculate b(-12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - b - 8. Let q(k) = -5*k**2 + 2*k + 9. What is -3*j(n) - 2*q(n)?\nAnswer: -2*n**2 - n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/4 - (22 + -13)\/36. Let n(a) = -a**2 + 5*a. Calculate n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 1. Let q be 11 - 13 - 3*-1. Let r = -5 - -9. Let a(u) = -r*u + 11 + 5*u + 3*u - 3. Determine q*a(x) + 6*c(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9180 and 188655?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385698553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12a12 (base 13) to base 4\nAnswer: -20131210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 153 - 897. What is the lowest common multiple of n and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*o - 4 - 10, 0 = -t - 2*o + 6. Solve t*c = 5*p, c + p + 0*p = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26294013 and 9657.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -7, -2, -37, 5 in descending order.\nAnswer: 5, -2, -7, -34, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.212.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/((66\/(-60))\/11)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 168\/20 - ((-15)\/25 + 1). Solve 0 = 3*y - 15, -y + c = -n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.28 - 0.28. Let r = l + -6. Put 0.01, 4\/7, 0.3, r in decreasing order.\nAnswer: 4\/7, 0.3, 0.01, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117381.\nAnswer: 3, 1039127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 2*z**2 - 3*z - 2. Let v be i(-1). Let f be v - (27 + (-2 - 1)). What is the smallest common multiple of 10 and (-2)\/9 - 87\/f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-9) - (-1)\/9. Let w be -4 + 1 + (-10)\/r. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-285)\/20)*(26\/(-16) + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 103\nAnswer: -34\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:12 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 1, b: 1, d: 2}. What is prob of picking 2 d and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 3*m**2 + 3*m + 1. Let g be d(-4). Let k = 134 + -271. Let p = g - k. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-12)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(3\/2)*c)))\/c**(-3)*(c**(-1)\/c)**(4\/31))\/((c**(-1))**18*(c**(-1\/3))**10) assuming c is positive.\nAnswer: c**(4943\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.641 to 1 decimal place.\nAnswer: -36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/75)\/(1\/(-10))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 23*t - 15. Determine x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u - 1. Let l be r(6). Let a(q) = -q + 4. Let b be a(l). Let x = 75 + 2. Calculate the greatest common divisor of b and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 1546?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63480)\/(-4761)*1\/(10\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47.0044636 + -1706\nAnswer: -1753.0044636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127\/1474266 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 7*s - 7. Let d = 8 - 1. Let k(u) = -2*u**2 + 5*u + 5. Let t(q) = d*k(q) + 5*p(q). Let h(z) = 11*z. Determine h(t(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305961, -305965, -305969, -305973, -305977?\nAnswer: -305981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 6*n**2 + 2*n - 1. Let j = 3 + -9. Calculate k(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, n: 2, r: 10}. Give prob of sequence hhn.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/12*(-2288)\/429.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*v - 32*v + 2*j - 22, -2*j = -12*v + 104 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 183570 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62159.\nAnswer: 61, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.011 + 0.42. Let b = -0.47 + d. What is b rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {q: 5, b: 2, j: 13}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiianiaaanann. Give prob of picking 1 n and 1 a.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -909662.804498895 + 910046.8045. Let a = -384 + b. What is a rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.892 or 19?\nAnswer: -22.892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 274*w**2 + 11*w - 27329?\nAnswer: 548*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23015 = -4*t - 6179. What are the prime factors of t?\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13456.379 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - m + 8, 5*m = g + g - 37. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -33 + 7 + (35 - (1 - 5))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138554183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 92 = o. Suppose 0 = 4*f - 49 - o. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061432644?\nAnswer: 2, 19, 13966219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 24*r - 149. Let p be n(12). Is 13146 - 2\/(p + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-50)\/(-4))\/5. Suppose 5*g + z - 42 = 0, z - 5*z = -2*g + s. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218 + 246. What is the third derivative of -25*x**3 - 1 - 54*x**2 + o*x**3 - 18*x**4 + 0 + 3*x**4 wrt x?\nAnswer: -360*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 26, 38, 50, 62?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 2*n + 7*n**3 + 6*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535917?\nAnswer: 3, 178639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/78 and -5\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70907304 divided by -4.\nAnswer: 17726826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**28\/(w**(-3)\/((w\/(w\/w**(3\/7)))\/w))*w**4*w**(-2\/23)\/w*(w**(2\/9)\/w)**(-17) assuming w is positive.\nAnswer: w**(53351\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 17868 - 74644 = -22*g. What are the prime factors of g?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -4950.7991656.\nAnswer: 4950.8391656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 9. Suppose 3*d - 8 = x*h + 10, 5*d - 2*h = 21. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -374*o**2. Let s(w) = 105*w**2. Determine q(s(k)).\nAnswer: -4123350*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.5 + -28.3. Which is the second biggest value? (a) -5\/2 (b) -5 (c) -2\/7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 519*a**2*f**3*n**3 + a**2*n**3 - 8*a*f**3*n**2 - 2*a - 9*f**3 - 2*f**2*n**3 wrt a?\nAnswer: 1038*f**3*n**3 + 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaaaaaffaa. What is prob of sequence ffa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.814225ug to grams.\nAnswer: 0.000003814225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1085*c**3*q**2 + 22*c**3*q + 5*c**2*q**2 + c**2*q - 366*c*q**2 + 2102*c*q wrt q.\nAnswer: -2170*c**3 + 10*c**2 - 732*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 + 1116 = -26*y + 569. Let l(n) = -n - 1. Let z(g) = 12*g + 18. What is y*z(x) + 15*l(x)?\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -3, 5 in descending order.\nAnswer: 5, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -150, 7, -1, 5, 3 in increasing order.\nAnswer: -150, -4, -1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -49. Let u(g) = -5*g + 27. What is the remainder when 143 is divided by u(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/36)\/((-1)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))\/h*h*h\/h**(2\/11))**22 assuming h is positive.\nAnswer: h**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 6, 0 = j + 5*x - 5. Which is the closest to -2? (a) -4 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -2600?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*q**4 - 2*q**3 - 269*q**2 wrt q?\nAnswer: -1248*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 78008.06\nAnswer: 1404145.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hqqqhhhqqhhhhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-704)\/12*(-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + d**2 - 4434*d - 4435. Determine b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 343111898 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65856 is divided by 2138.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 344*r**3 - 1376*r**2 + 17*r - 72. Calculate l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -87\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + (-5 - -1 - -2) - (-158 + 300 - 152).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r + 23*r - 165495 = -7*r. List the prime factors of r.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1893, 1916, 1941, 1968, 1997, 2028?\nAnswer: 2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v + 3*v - 2*q, -4*q - 8 = v. Let c be 10\/(-3)*60\/50 - -7. Suppose -u + 10 = u + y, c*u + 3*y - 18 = v. Solve -u*n = 2 - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -6*(0 + sqrt(2))).\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092959.9 rounded to the nearest one thousand?\nAnswer: 1093000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 1924.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6088 - 6088.02499. Let h = -0.022989 - j. Round h to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2*(-4)\/((-192)\/(-114))*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*p - 285*p + 131*p)*(p + 4*p - 2*p)*(-3 + 3 + 1) to x*p + v + c*p**2 and give c.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096 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 remainder when 170 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -0. Let c be (3 + (-1 - -1))\/s. Is 1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + b396?\nAnswer: b399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678 = 14*z + 377 - 539 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13513, 55429, 125289, 223093?\nAnswer: 348841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 4447284.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 107\/107*(-6)\/8*(-6)\/(-9). Which is the second biggest value? (a) -1\/15 (b) -1\/30 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*a + 206*a - 9320. Suppose 939*u = a*u + 2590. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 992\/13 + -62501\/819. Calculate the common denominator of -50\/117 and k.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 885 = 2*o. Suppose o = 3*r - 7*r + 3*q, 44 = -r + q. Let g = 68 + r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 338600 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8346250 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 15*c - 72. Sort c, -26, -4, -2 in descending order.\nAnswer: c, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 7*o**2 - 8*o + 7. Determine f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 1503 = 41*d - 570 + 647 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -872906181.\nAnswer: -872906179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 172988944 divided by 1466008\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * -619288.\nAnswer: 46446600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 87 = 10*y. Let m = -27 - y. Suppose -34 = 5*g + 3*s, -2*s + 16 = -m*g - 4*s. Is -18\/5 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.1 less than -208?\nAnswer: -439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 308 - 1620.07712\nAnswer: -1312.07712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z - 86. Let p be x(-9). Solve 13 = -r - 5*w, -4*w = p + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68887100 to the nearest 1000000.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 12771*c**3 - 205473*c**2 - 1577331*c - 2538162 = 0.\nAnswer: -4273, -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -1390, -3378, -6290, -10126, -14886?\nAnswer: -20570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4743, -20100, -45697, -81528, -127587, -183868?\n\"Answer: b**3 - 5126*b**2 + 14*b + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 4*v - 5*v)*(2711*v + 3360*v - 660*v + (-2 + 2 + 2)*(2*v + 4 - 4) + v - 4*v + 4*v) as y + m*v**2 + r*v and give m.\nAnswer: 10832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3933 - -3935. Which is the fourth biggest value? (a) 2\/9 (b) 0.49 (c) -6 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 57\/(-4))\/(16\/192)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332 - 11?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 2*o**2 + 6*o + 11. Suppose -5*j - 4*i = -i + 5, -3*j = -3*i + 27. Does 19 divide g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 395 (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4645 divided by -1980\nAnswer: -929\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 * -25551\nAnswer: -145640.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6594458 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d)\/d*d*d*d)**(-49)\/(d**(-6)*d**1) assuming d is positive.\nAnswer: d**(-333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 291893 and 25.\nAnswer: 7297325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = n + 115. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.29916 millilitres in litres?\nAnswer: 0.05529916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 30. Suppose r*p = -3*y + p + 52, -10 = -2*p. Let m(u) = 5*u - 10. Does 8 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/2*702\/351?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, 5, 0.4, -1, 2 in descending order.\nAnswer: 5, 2, 12\/11, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/(5\/((-60)\/8)). Let m(x) = -x - 6. Let v be m(-6). Suppose v = 4*j + 3*f - 86, -5*j + 73 = -b*f - 23. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 1. Suppose -3*h - 17 + 5 = 0. Suppose 4*j + 3 = 3*j. Let y = j - h. What is p(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n + 1\/60*n**5 - 9\/40*n**6 + 0 + 0*n**4 + 0*n**3 - 5*n**2. What is the third derivative of r(c) wrt c?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 2*q + 4. Let r be p(3). Let n = 9 - r. Let i = 5 + n. Which is the nearest to -1\/4? (a) 2\/3 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -22. Suppose 4*q - 30 - s = 0. Let l = 50 - 22. What is the greatest common divisor of q and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 564*a - 131. Let u(b) = -b - 1. Let y(f) = -q(f) - 5*u(f). What is the first derivative of y(t) wrt t?\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.031 (c) 1\/6 (d) -43 (e) 1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0 + 2*b + 1\/2*b**2 - b**3. Let y(a) = 3 + 3*a - 8*a - 2. What is -4*i(o) + 5*y(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 17 = 5*i - 57, -2*i - 3*v = -16. Calculate the smallest common multiple of 7 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 at least 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -f, -5*t - 28 = -2*f - 10*t. Suppose 0 = -6*u + f*u + 246. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 57017 = 50*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 70*i + 969. Let b be v(-66). What is the greatest common divisor of 60 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -5*p**4\/12 - 10*p**3\/3 - 10*p**2 - 137*p. Factor z(n).\nAnswer: -5*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Suppose r*u - 9 = -z, 3*u - 15 = -z - 2*u. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6038 + 407?\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**2 - 32*p - 94. What is c(-4)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326232 is divided by 1631?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23358 - -224?\nAnswer: 23580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/11284 and 25\/2418.\nAnswer: 33852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32109 divided by -7\nAnswer: -4587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 65 - 58 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231693 is divided by 71712?\nAnswer: 16557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -45. Let w be 260\/36 - p - 3. Let x = 0.04 - 2.04. What is the second smallest value in 2\/21, x, w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 66*i**4\/17 + 400*i**3\/17 - 438*i**2\/17 - 28*i\/17 = 0?\nAnswer: -7, -2\/33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -3*a + 805793*h - 805798*h, 0 = 2*a - 2*h + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 13998*h - 5. Let m(j) = j. Determine a(m(l)).\nAnswer: 2*l**2 + 13998*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 + 0 = 0. Suppose 0*z + h*z = 280. Let b = z - 42. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 133 + 2*s - 132 + 4*s**3 to y*s + z*s**3 + g + o*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16794.13 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 20, 67, 142, 251, 400, 595, 842?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 29*l = 532 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.3 to zero decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19460*c**4 + 3*c**3 - 99610?\nAnswer: 77840*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-480))\/(9\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.9 - -21. Let r = t - -0.56. Let o = 0.06 - r. Round o to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 204*h. Let d(f) = 37*f. Calculate 28*d(u) - 5*o(u).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*o + 1739 - 25292 = -7559 + 24590 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -9*t**5\/50 - t**4\/4 + 3*t**3\/10 + 3*t**2\/5 + 4*t. Determine m, given that w(m) = 0.\nAnswer: -1, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6755 - -6755.03. Let z = 1075\/4 + -270. Let h = 7 - 4. Which is the second biggest value? (a) h (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - (3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 16, 6*t - 2*t + 100 = 3*p. Let r = 349 + -337. What is the highest common divisor of r and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (79 + 11 + -105)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 58*s**2 - 267*s + 34. Calculate p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 137 (c) -0.1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3017*h + 31360 = 88683 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.124 + -95.124. Let n = c - -99.7. Let d = n + -5. Put 4, 1\/2, d in decreasing order.\nAnswer: 4, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((3 - 1) + 3 + -3 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 9) to base 13.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**7)))\/(v\/((v\/v**(4\/7))\/v)))\/(v**(-2\/3))**(-1\/22))**(-5\/11) assuming v is positive.\nAnswer: v**(-7390\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a. Let l(b) = 10*b**3 + 4*b**2 + 8*b + 2. Let w(u) = l(u) - 12*t(u). Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**3 - 40*s**2 - 40*s - 40. Let j(o) be the first derivative of -58 - 1\/2*o**2 - 1\/3*o**3 - o. Calculate -g(z) + 40*j(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 = i, -4*i = -i + 3*g. Suppose 2*t = i*o + 8 + 18, -2*o + 4*t - 20 = 0. Let u be (-143)\/(-26) + 1*(-2)\/4. Put u, o, 3 in increasing order.\nAnswer: o, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 2609*r**2 - 755 + 270 + 485.\nAnswer: 3*r**3 - 2609*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 52, 16, -12, -26, -20, 12, 76?\n\"Answer: r**3 - 5*r**2 - 30*r + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19051 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 21 = 8*o + 19*o. Solve o*n - 30 = 3*s, 11*s = 3*n + 16*s + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6342*d - 17922 = -6371*d. What is the highest common divisor of d and 13184?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21014182.\nAnswer: 2, 7, 53, 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 14*b + 3. Let r(j) = -2*j**2 - 5*j - 1. Give 8*r(m) + 3*v(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.8 + 1.4. Round y to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 131. What is the remainder when y is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 32. Let k = w - -30. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*k + x, 2*k + x + 4 = 3*k. Suppose 12 = k*c + 2. Suppose 0 = -3*w + o + 6, -5*o + 21 = 5*w - 3*o. Solve -16 = 4*j, -2*m = w*m + c*j + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1382.\nAnswer: -1\/1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119083999*o - 136062380 wrt o.\nAnswer: -119083999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 6*m. Let w(p) be the first derivative of m*p**2 - 1 + 2\/5*p**5 + 1\/3*p**3 + 0*p**4 + 0*p. What is the third derivative of w(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0.266 (c) -1097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/36028 and 41\/296861713.\nAnswer: 1187446852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 2. Let l(x) = -2*x + 5. Let t(y) = 4*l(y) - 9*q(y). Suppose -4*f - 5*m + 25 = 0, -5*m = -5*f - 0 + 20. What is the units digit of t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220010 (base 5) to base 12\nAnswer: 4415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 2*a. Let y be u(-2). Suppose -8*j = -4*j + y. Does 11 divide (-1)\/(j + -1) - 395\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47089232 to the power of 1\/2, to the nearest integer?\nAnswer: 6862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.005 + 26.995. Let c = 27.1 - y. Let u be 1\/(((-6)\/4)\/(-3)). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.1 + -27. Let u = d - 0.1. Let s = 2.487 + -2.537. Which is the closest to 0? (a) 1\/2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -30, -0.3, -75.\nAnswer: -75, -30, -0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x - 5 = 65*x + 5*h, 3*x = 2*h - 32. Let y = 67 - 46. What is the tens digit of 2261\/y + x\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 2)*22\/(-1012). What is the biggest value in 5, -2, m, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 776 - 8530\/11. Let t = 13\/44 - y. Which is the nearest to t? (a) 3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(304\/64) - (2\/1 + -6). Solve 3*r = q - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -8447 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/36 and -73\/8138568.\nAnswer: 24415704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 - 4*v - 2. Let k be h(5). Let j = k - 21. Calculate the greatest common divisor of j and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b + 4. Let z be r(-2). Let g be (-10)\/25 + z\/10. Factor 2\/5*y + 0*y**2 - g*y**3 + 0.\nAnswer: -2*y*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(-11*p + 13*p + 15*p).\nAnswer: -51*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*k - 27*k. Suppose 2*i - 8 + k = 0. Suppose 2*m - i*m = -130. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 8, l: 1, s: 4, y: 1}. What is prob of sequence sl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b + 21 - 66 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 5:57 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 207328816 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 23. Calculate u(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464210, -464618, -465026?\nAnswer: -465434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 20.8338182?\nAnswer: -6.25014546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -r + 3*h, h + 55 = -r + 6*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1891578 and 74490.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wxxxwxw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttit when four letters picked without replacement from {s: 7, i: 1, t: 11}?\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5401687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = 1. Let q(i) = 15*i + 1. Is q(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12895809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8030 is divided by 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/6) - 192. Let m be (-88)\/x*18\/4. Let d be 10\/(2 - 0) + -2. Solve 0 = m*u + d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.043 - 0.027. Let t = q - -0.093. Let w = t + -0.0229. What is w rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-8))\/(2813\/116 + -24). Which is the closest to -105? (a) y (b) -2\/13 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/8 - 4*-8. What is the units digit of ((-1)\/(-5))\/(6\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 2*c + 4, -i - 4*c - 13 = 0. Suppose 0 = -o - 2 + i. Suppose 4*q = 5*b - 3*b - 120016, 20 = -o*q. Round b to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 76285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - -0.4. Let k = 0.71 + 0.09. Let o = k + -1. Sort l, -0.5, o in descending order.\nAnswer: o, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 8) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 1553 = 1545 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445*n**3*u**3 + n**3*u**2*z**3 - n**2*u**2*z**3 - 15*n**2*u**2*z + 2*u**3*z**3 wrt u?\nAnswer: 2670*n**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.1 (b) 1\/4 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 65. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166274212 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81.14 + -1.86. Let w = -6.37697 - 76.61483. Let r = i - w. What is r rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*h + 55, 2*h + 23 = t - 2*h. Let c(n) = 2*n**2 + 2*n - 3. Let g be -2*2 - -2 - 3. Calculate the remainder when c(g) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 2*q - 26*q + 759 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1545360 and 169\/960.\nAnswer: 6181440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111110001111 (base 2) in base 8?\nAnswer: -57617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 + 5*i + 1. Let n be r(4). Suppose -2*l = n*y - 379, -4*y - 4*l + 308 = -0*y. What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 83. Let z(g) = 36*g. What is t(z(m))?\nAnswer: -180*m - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*g = -0*g + 25, -3*n - 5*g = -15. Suppose 4*b - 3*s = 2145, n*b - 5*s - 1617 = 2*b. What are the prime factors of b?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13)**30 assuming j is positive.\nAnswer: j**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 15) to base 10\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.8, -4, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, z: 15}. What is prob of picking 2 z?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 5*t - 6. Give z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {m: 3, p: 3, l: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*y = 1146*y + 2075 - 738. Let n = -3.8 - -0.4. Let h = -6.7 - n. Which is the closest to 2\/3? (a) y (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 1 = 71 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:26 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.073\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-370)\/148)\/(15\/(-484206)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 522*g**2 + 3196*g - 63. Determine v(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:37 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 11989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g. Let q be k(0). Let p(r) = 1 - 4 - r + q*r. Let l be -3 - -1*6\/(-3). What is p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 3*i + 9 + 0*i - 2*i - 4 + 4 + (-4 + 2 + 8)*(-2*i - 4*i - i).\nAnswer: -46*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 215, -520, 0.006?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15972?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33033 (base 4) in base 11?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 14 = -20. Which is the closest to -0.1? (a) s (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -4*a + 5*y - 16, -5*a + 4*y = 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 = 3007\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - 7) - (-1 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -0.7, -4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 30 = 0. Solve -3*p + v*p = -2*t + 1, -2*t = 2*p + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - 4*s - 4. Let z(y) = 12*y**2 - 11*y - 11. Let a be 3 - (-56 - 0)\/(-4). Give a*f(u) + 4*z(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:17 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1220\/(-366))\/(2 - 8\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + 3 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2105601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44211 (base 9) to base 13.\nAnswer: 10474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let b(p) = 1. Let h(z) = -4*z + z - 3*z + 4. Let x = 1 + -2. Let j(n) = x*h(n) + 4*b(n). Give m(j(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -221?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 1. Let b be y(-5). Let u be 1256\/(-52) + b\/39. Let t be 2\/(u\/(-9) - 2). Solve -5*r + 11 = -3*r - t*i, -i = -3*r + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 5\/((-300)\/(-1095)). What is the closest to 4 in 1, 1\/2, n, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/(sqrt(7)*2))\/sqrt(3) + 3.\nAnswer: sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/9)\/((-1)\/15). Let y(k) = -k**2 - 10*k - 9. Let f be y(-9). Solve a*v - 3*h + 16 = f, -2*h - 4 = 3*v - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121898 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.6 - 3.6. What is the third smallest value in -3, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.2100008017 - 37.21. What is t rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esne when four letters picked without replacement from nnsenee.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-9)*j*j**4\/j assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*o = -57, 4*o = -3*q + 5*o - 147. Let v = q + 34. Let x = 3 - v. Calculate the remainder when 48 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*k**2*z - 3*k**2 + 134*k*z + z wrt k?\nAnswer: -190*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:16 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.7000131 - 11.7. What is v rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3587 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/666666 and -19\/2636361.\nAnswer: 57999942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + 119 + 2 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 99.3661 weeks?\nAnswer: 16693.5048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a + 28\/15*a**5 + 0*a**3 + 0 + 0*a**4 + 69*a**2. Let q(x) = -3*x**2. Calculate q(m(z)).\nAnswer: -37632*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933548 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 203 + 8*b + 26*b**2 - 338 + 188 + b**3 - 2*b**2. What is the hundreds digit of w(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. What is the first derivative of -3 + 0 + c*m**2 + 5 wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -33, -333?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578723 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6\/3 - 0. Does 17 divide (z - 5)\/((-3)\/34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*w - 81, 2*a = -3*w - 73 + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-8))\/(220\/(-32) - -5). Which is smaller: -2\/81 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 - 12*w**2 - 6*w**2.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k + 3002 = -118 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/2, 9, -98, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*t - 1012*t - 1419*t + 239*t + 346*t - 627*t.\nAnswer: -2878*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5940 is divided by 456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8)\/((-1031)\/3093)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 + -239. Let r = -69 + s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64304 is divided by 64125.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w**2 + w**3 - 3*w**3 + 3*w)*(3 + 2*w - 3).\nAnswer: -4*w**4 + 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001458 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26755118 to the nearest integer?\nAnswer: 5173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/3 + 8*x\/3 - 3 = 0. Calculate x.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2446964\/5 or -489394?\nAnswer: -2446964\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 19\/2 (c) 10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(136)\/(sqrt(512)*-1) + 3)*3*2)**2.\nAnswer: 243*sqrt(17) + 48033\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480)\/sqrt(8))\/sqrt(3))\/(sqrt(16)\/sqrt(256) + sqrt(4)))**2.\nAnswer: 320\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Suppose 0 = 5*q - 36 + 6. Suppose q*b - 16 = 2*b. Let g = 672 - 628. Let y(v) = v**3 + 11*v + 11. Give b*y(n) + g*a(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 115*t + 395 = 89. Solve -2*p = -3*i - 25, 5*i - t*i = 3*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 4*i**3 - 5*i**3 + 3*i**3 + 0*i**4 + i**4 as m*i**4 + b + s*i**2 + f*i**3 + r*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(350) - 2*(sqrt(350)*-1 + sqrt(350)))*3)\/(((-1*sqrt(224) + sqrt(224) + sqrt(224) + sqrt(224))*-4 + sqrt(224) + sqrt(224))\/sqrt(7)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giqqpgek. What is prob of sequence ge?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 415166?\nAnswer: -415172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 4*x + 5. Let k be q(-4). Suppose -k*m - 2*d + 10 = 2, 3*d = -3. Solve 8 + m = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/390 - (-2)\/12. Let w be ((-3)\/3)\/1 + 1. Let r = -1 + w. Which is the closest to v? (a) 5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*4*(243\/(-12))\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -169*s**5\/210 + 1157*s**4\/42 - 7921*s**3\/21 + 234*s**2 - s. Suppose v(y) = 0. Calculate y.\nAnswer: 89\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/(-4) - -1. Let d = 0.03 - -0.07. Sort d, 1\/5, s in descending order.\nAnswer: 1\/5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26343433 times -0.1?\nAnswer: -2634343.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let n = -5 - 1. Let w(a) = -a**3 - 6*a**2 + 1. Calculate the remainder when o is divided by w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -493 - -494. Let r be 0\/(-4) - (2 - 30). What is the common denominator of w*((-1304)\/r - (-6)\/(-14)) and 26\/31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 2*q**7\/21 - 2*q**6\/15 - q**5\/5 + q**4\/3 - 39*q. Factor k(c).\nAnswer: 4*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 663 - -8896. What are the prime factors of y?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 1\/24*y**4 - 4\/3*y**3 + 0 + 16*y**2 + 23*y. Factor f(o).\nAnswer: (o - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 18 (b) -1\/4 (c) 2\/13 (d) -0.064 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32730988 take away 1?\nAnswer: -32730989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1099 + -1096. Solve -b*l - 8*l = -22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2057) + 1 + 3 + -1.\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1)\/(300\/1450)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/8 + 365*s**3\/8 - 45*s**2 - 365*s\/2 + 182 = 0.\nAnswer: -2, 1, 2, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c**2 - 13*c - 21. Let m be z(-7). Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 10*q + 3. Let b be s(-5). Find the third derivative of 3*l**2 + 134*l**3 + 10*l - l**2 + b*l - 6*l**2 wrt l.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)*q**(-1\/3)\/q)\/(q**(-2\/7))**(1\/52))**(2\/11))**(-8) assuming q is positive.\nAnswer: q**(14536\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -90, -110, -130, -150, -170?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0543 and -270028.7642?\nAnswer: 270028.8185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*k - 44794 - 4187, -5*k - 196049 = -8*p. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86585*s**3 + 54066*s**2 wrt s.\nAnswer: -519510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 11. Let x be g(4). Solve -5*a + x + 1 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9724035.6 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44 and -366163373.\nAnswer: -366163329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 - 2.4. Let z = x - -11.8. Which is the third smallest value? (a) z (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/24 + 3\/12. Let k(f) = -f**3 + f**2 + 3*f - 1. Let m be k(j). Put m, 25, 4 in descending order.\nAnswer: 25, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1\/30*p**5 + 13\/60*p**4 - 1\/300*p**6 + 0 - 2*p**2 + 7\/15*p**3 + 0*p. Find s such that q(s) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and (33\/(-44))\/(18\/3*1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 4*l + 6. Suppose n + 1344 = 22*n. Let x = 70 - n. What is the lowest common multiple of x and c(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2924)\/(-3740) - (1 - -7 - 1\/((-264)\/(-2064)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:27 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 9) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/195)\/(4\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39107 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -434051 + -52?\nAnswer: -434143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(u - u + u) - u - u + 3*u + 56*u - 14*u + 2*u.\nAnswer: 47*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0611 and 0.0336 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**3 - f**2 - 7*f - 2. Let w be d(-3). Let j = -42 - w. Suppose -2*p = -2*r + 7*r - 101, -3*r = -p + j. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -77, 2 in decreasing order.\nAnswer: 2, -3, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 283051, 282959, 282869, 282781, 282695, 282611?\n\"Answer: d**2 - 95*d + 283145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -36724918570\nAnswer: 36724918493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1381\/7056 - -1\/784. Calculate the common denominator of u and 52\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1447535 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-12)*(-3013)\/35370 and 55\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 93.4. Put -17, 3, y in ascending order.\nAnswer: -17, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 495\/26 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70904 and -7.4966.\nAnswer: 70896.5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((18\/285)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/2 - 3*d**2 + 5*d\/2 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 146713072 to the power of 1\/2, to the nearest integer?\nAnswer: 12113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -52*p - 97. Give k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 413220*z - 413225.\nAnswer: 5*(z - 82645)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 44.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723*i - 732*i = -159453. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/11616 and -61\/33?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 61. Suppose 4*a + 0*a - 1064 = 0. Let b = a - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) + (sqrt(117)*3 + sqrt(117) - sqrt(117) - sqrt(117))))\/sqrt(9).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5992, -5997, -6002?\n\"Answer: -5*u - 5987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52017081 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2897 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t - 60 = 67*t. Let j(w) = w**2 - 1. Let f be j(-2). Solve -t*h + f = 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 13. Let t be 6 - (4 + -6) - -6. Let d be l(t). Solve p + 10 = d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.9 - 27. Which is the nearest to 2? (a) 0.4 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 17*c - 13. Suppose 0*i + 22 = 2*i. Is d(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -807 and -808 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817337.\nAnswer: 3, 605779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from fcicicihfc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**4 - 2*j**2)*(-8 - 2*j - 15 + 1).\nAnswer: 2*j**5 + 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45.57 - 47. Let m = b + 1.4521. Let j = m + -0.02. What is j rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 118 (b) 9\/4 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -250, 2, -982, -2, 5, 0 in descending order.\nAnswer: 5, 2, 0, -2, -250, -982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 1664*a - 1660.\nAnswer: -4*(a + 1)*(a + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:36 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 643*k + 7. Let f(t) = 1928*t + 18. Give 8*c(l) - 3*f(l).\nAnswer: -640*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15198716?\nAnswer: 2, 13, 292283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7421 and 78192?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let h be i(-5). Suppose g - 88 = h*g. Find the common denominator of 43\/g - (-4 + 1) and 53\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (-23 - -43)) + (41 - 90).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 23*t**2 + 46*t - 28. What is the hundreds digit of i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 8.91. Let b = l + -23. Let i = b - -12. What is the second biggest value in i, 2\/15, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94a4 (base 12) in base 9?\nAnswer: 24257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15237 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 70, 83, 116, 175, 266, 395?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 21*q + 12. Is 31 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (0 - 2*(-1)\/(-2)). Let m be -4*-5*(-2)\/y. Suppose -2*d = d + 5*v - 64, 2*d - 51 = -m*v. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - -1 - ((-22 - -3) + -4 + 32).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 - 18*k - 21. Give v(-6).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)\/(-2)*0. Let r be (-2)\/(-5) + (-32)\/(-120). Factor -1\/3*u**3 + c - r*u**4 + 0*u - 1\/3*u**5 + 0*u**2.\nAnswer: -u**3*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 10. Let x(d) = -d**3 + 20*d**2 - 15*d + 23. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487514 is divided by 803?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 15*i + 6. Let g be (-4)\/(-14) + (-368)\/161. Let f be g\/(-14) - (-9)\/((-441)\/350). Is v(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3*(-6 + 5). Suppose -a + 2 = -u - 2*l, 0 = -4*u - 2*l + 22. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 13*d**2 + 19*d - 14. Let r = -9 - -94. Suppose -7 = 6*f - r. What is the tens digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943713 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13906849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1337, -1346, -1369, -1412, -1481, -1582, -1721, -1904?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from {n: 2, v: 1, u: 6, t: 3, e: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 7?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -57*3\/24*-2. Let d = c + -631\/44. Is 1 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50181.9 + 50182. Let h = -8757\/23 - -381. Is h greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1422 - -35?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6565957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 14*t**2 + 16*t + 92. What are the prime factors of r(24)?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 37. Let b(f) = 0*f + w*f + 1 - 9*f + 2*f. What is b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -3*n**5\/20 + n**4\/4 - n**3\/3 + n**2 + 2*n - 17. Let d(j) = -j**2 + j - 1. What is 2*d(y) + l(y)?\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 4. Let k be z(5). Calculate the highest common factor of 93 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:55 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4021432?\nAnswer: 2, 151, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9*i + 5*i = -692, -525 = -3*w - i. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255052 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*((-322)\/(-21) - 15). What is the closest to f in -0.7, -2\/15, -10?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 - 13 - 2*u**4 + 12 - 2*u**4 + 4*u**3 to i*u**2 + l*u**3 + c*u + p*u**4 + x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*b - 2*b. Solve -b*y + 3*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:12 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d. Let v(q) = d*q**2 + q**2 - q + q. Let r(n) = -5*n. Give v(r(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 47 - 52 + 49. Let t be r(6). Let g(q) = 2*q. Let a(f) = f**2. Suppose 4*y - 3 = -2*c + 1, 5*c - 4 = -4*y. Calculate t*a(j) + y*g(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) 2\/3 (c) 0.2 (d) 87\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5777 = -f + 8497, -14274 = 2*o + 2*f. What is the common denominator of (o\/(-432))\/13 + -1 and 49\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -73*s**2 + 1326*s - 213. What is v(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-10))\/((-5946)\/297300).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 4\/5 (c) -4 (d) 1\/24 (e) 8 (f) 2\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3938499 and 129?\nAnswer: 3938499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 25 - ((6 - -1) + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 14 + 16. Suppose -m*j + 391 = 1153. Round j to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Find the third derivative of -10*f**3 + 26*f**x - 51*f**2 + 37*f**2 wrt f.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + g + 10, -2*b + g + 6 = 0. Let 2*s**4 - 24*s**3 - 521*s**2 + 7*s**b + 533*s**2 = 0. What is s?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4579.943us?\nAnswer: 4.579943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5804.977g?\nAnswer: 5.804977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6647 and 88.\nAnswer: 584936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 2 = f. Let t = 8 + f. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 3997908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0.1 (b) 0 (c) 12 (d) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93896 - 93997 = -3*o - 2*h, 128 = 4*o + 6*h for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {m: 3, o: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -852 divided by 6?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:10 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12065?\nAnswer: 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4706 and 232362?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 984125 + -4?\nAnswer: 984121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5931 + 40763. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 4.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 + 2 = 0. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 160*g - 3. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c - 4. Let x(s) = 95*s + 513. What is the remainder when x(-5) is divided by 84\/(-9)*3\/c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -120*h - 11. Let l(k) = 180*k + 16. Let g(q) = 5*l(q) + 7*p(q). Let t be g(-2). Let c = t + 216. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204055435 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1000)\/(-20)*((-555)\/60)\/37?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a - 51*a = -91*a. Let l be (15\/(-10))\/((-2)\/(-4)). Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/23 (b) -208\/7 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -5?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecnc. Give prob of picking 1 n and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082373ml in litres?\nAnswer: 0.000082373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2.2, -0.46, 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1542)\/(-15) + 9471\/105 + -91.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3357563914403948.0000013 - 3357563608955152. Let f = -305448817 + c. Let v = f + 21. Round v to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p. Let r(k) = 2637*k**2. Calculate b(r(f)).\nAnswer: 10548*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(95) + (-4*(sqrt(95) - (sqrt(95) - (sqrt(95)*1 - sqrt(95)))) - sqrt(95)))\/(sqrt(15)\/sqrt(3)*2) + 4) + -3)**2*6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/210 and -239\/937860.\nAnswer: 937860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/192*60\/30\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4416 + -4316. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 70\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + 3*g**2)*(-30 + 7 - 7).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + (46 - (30 + 17\/((-238)\/252)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 12. Is -3 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 5 + 1\/2*t**2 - 2*t. Let v be f(9). Calculate the highest common divisor of 49 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (8 + -8 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103635*s**2 + 103635*s**2 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 6 + 3*r + 15. Let c be z(9). Let u = 73\/8 + c. Is u at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 11, 22, 37, 56?\n\"Answer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 2*o**7\/21 - 4*o**6\/15 - 37*o**5\/5 + 158*o**4\/3 - 112*o**3 + 752*o. Suppose w(k) = 0. Calculate k.\nAnswer: -7, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 3534*k**2 - 1755792*k + 166218264 = 0. What is k?\nAnswer: 123, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a755 (base 14) in base 10?\nAnswer: 28887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -149?\nAnswer: 4\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 212.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1)*(-36)\/30. Let c(d) = 1. Let z(q) = 2*q - 2. Let r(h) = u*c(h) - 2*z(h). Differentiate r(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 0*b + b, 0 = -3*b - 15. What is the third derivative of -4 + 4 - i**3 - 2*i**3 + 2*i**f wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.929002 rounded to 1 decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s + 241*s + 30217 = 79*s - 5163 for s.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:17 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -152, 0, 0.09, 5, -0.2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14\/285 - -9517\/2280. Let k = j + -31\/8. Which is the nearest to 2? (a) -6 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let s = -10 + 24. Let n(z) = 4*z**2 - 5. Let v(q) = -12*q**2 + 14. Let u(a) = s*n(a) + 5*v(a). Give c(u(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 21*u = -207. Let z(d) be the first derivative of 0*d - u - 7\/4*d**4 + 0*d**2 - 10\/3*d**3. What is the third derivative of z(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 + 60 = 0. Let s = f + -17. What is the second derivative of i**2 - i**2 - 2*i - 10*i**s + 21*i**3 wrt i?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dytd when four letters picked without replacement from {t: 1, d: 4, y: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72))\/(sqrt(6) + 1*sqrt(150)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2. Let n(m) = 86*m. Give n(a(h)).\nAnswer: 258*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaafaffaa. What is prob of picking 2 f and 1 a?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586 - v + 556 - 4*v - 1181.\nAnswer: -5*v - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4946*l**5 - 753*l**3 + 14*l**2 - 445725532*l?\nAnswer: 98920*l**3 - 4518*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (-1)\/1*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 + 12.267. Let m = k + -1.4. What is m rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-6\/11)))\/((y\/y**(14\/9))\/y))**(-16\/3) assuming y is positive.\nAnswer: y**(-1600\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -272 - -455. Calculate the remainder when t is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 132*b + 7. What is d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3393*s + 61 + 3394*s + 3394*s - 10180*s. Let w(y) = 19*y. What is m(w(k))?\nAnswer: 19*k + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-5))\/((-4)\/30). Suppose 2*p - x + 5 = 0, 2*p + 4 = -x - 3. Let s be 15\/y + (-1)\/p. Is s smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428\/(-9095)*-34*15\/5\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v - 356. Let j be l(20). Let c be 2\/8 + 23\/4. Suppose 2*o = 4*n - c*n + 2890, 5*o - j*n = 7189. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2487 = -6*y - 3*b - 2421, 2*y + 2 + 4 = 13*b for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + h)*(3 - 1 + 3) - 3*h - h + 2*h)*(-2 + 0 + 4).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 851, 3833, 8845, 15923, 25103?\n\"Answer: 6*b**3 + 979*b**2 + 3*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -173868206 - 0.4\nAnswer: -173868206.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40080?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 59*u**3\/6 - 72*u**2 - 181*u. What is the derivative of j(x) wrt x?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3*g**2 + 3*g - 12. Let k be s(4). What is the remainder when 134*12*(-2)\/k is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 20*o**2 + 4*o - 8. Let i be a(-7). Suppose 472 = -2*j + t + 4*t, 4*j + 5*t + i = 0. Let u = 145 - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 - -2.7. Let v = -245 + 249. What is the smallest value in v, -0.5, 0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15177977 and 7295?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3432 and 71\/49368.\nAnswer: 641784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -63. Suppose b*w + 1008 = -5*q, -5*q = -0 - 20. Let z = -331 - w. What are the prime factors of z?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*g = 1, -7*l + 2*l + 5 = 5*g. Suppose 0 = -6*u + 4*u + 40. Calculate the smallest common multiple of u and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 = -20. Let n(s) = -2*s - 12. Let j be n(-8). Suppose 2*a = -3*f + 9, -5*f + 20 = j*a - f. Solve 3*p = p + h*r + a, -3*p + 2*r = 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/12*(0 - -6)*1. Let y(k) = -6*k**2 + 6*k - 1. Let v = 27 + -28. Let g(j) = j**2 - j + 1. Let d(p) = v*y(p) - 5*g(p). Determine d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*f + 9 = -u, -2*u - 2*f + 18 = 0. Let s be (1 + 0)*-1 - -3. Let t be (-8)\/(-12) - s\/3. Solve t = 3*h - u + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 59*n**2. Let z(q) = -4*q**2 - 8*q**2 + 14*q**2. Calculate z(i(u)).\nAnswer: 6962*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 15 - 491*n + 14 + 18 + 16 to c + j*n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 4. Let r be l(10). Suppose -3*n = -4*g - 30, n = 5*g + r + 15. Suppose -n = 2*p - 4*j, -2*j + 9 = -0*p + p. Sort 2, -3, p.\nAnswer: -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8850 is divided by 133?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4339 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/31)*(v\/(v\/v**(-1)))\/v*((v**11\/v)\/v)\/v**(-5) assuming v is positive.\nAnswer: v**(374\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3888) - (sqrt(3888) + 0)*-6) + sqrt(3888)*-1 + 5)*-5)**2.\nAnswer: 54000*sqrt(3) + 3499825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*n**3*o**2 - 5*n**3*o - 3*n**3 + 55*n**2 - 4*o**3 wrt o?\nAnswer: 626*n**3 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10002 - -10026. Solve i*k = 34*k - 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 24*b**2 - 729*b + 1890.\nAnswer: 3*(b - 10)*(b - 3)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67620 and 76437648?\nAnswer: 382188240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/s*s**(1\/4)*(s\/(s**2*s))**(-1\/62))**(8\/3) assuming s is positive.\nAnswer: s**(-286\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -2, -7\/2, 4, 5, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 3. Let g be h(3). Find the third derivative of z**3 - 5*z**3 + z**g - z**2 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 11. Let y be (-20)\/3*(-2)\/12. Let x = -132 + 134. Put z, x, y in ascending order.\nAnswer: z, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -60.963 times 270\nAnswer: -16460.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 6. Suppose -2*d = -5*i - 12, 3*i + 5 = 2*d + 1. Let w(a) = 11*a + 13. Let o(u) = d*w(u) + 9*r(u). Let y = -8 + 1. Calculate o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -22 + 2*b**3 + b**2 + 0*b**4 + 0*b + 19\/15*b**5. What is the first derivative of t(s) wrt s?\nAnswer: 152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18634944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486*f + 166*f + 163*f + 117*f + 114*f - 20 to the form h*f + b and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 + 6*y - 3. Let j be (-2 - -2) + (1 - -3). Let n be x(j). Solve -3*m - p = -9, n*p = m - 2*m + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -540*o - 191. Let y(x) = 1621*x + 575. Let r(c) = -11*l(c) - 4*y(c). Differentiate r(s) with respect to s.\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 44.8. Let n = -0.01 + -0.29. Let w = n + 5.3. What is the nearest to -1 in y, w, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 - 2*j + 6. Let n be f(-6). List the prime factors of (-42)\/9*n\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 2*i**3\/3 - i**2\/2 - i + 3. Give x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0.2, 19, 0 in decreasing order.\nAnswer: 19, 3, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k + 55*k - 25*k - 25*k - 29*k.\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(3*3*(2 + -6*((0 + sqrt(5) - sqrt(5)) + sqrt(5))*-5))**2.\nAnswer: -13133664 - 349920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5\/19, -3\/5, 2\/15, -84.5 in descending order.\nAnswer: 3, 5\/19, 2\/15, -3\/5, -84.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101020 (base 3) to base 5.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 4*h + 16, 67*f + 4*h + 8 = 66*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y - 96 = 88*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 0*s**3 + 4 + 14*s**2 + 11\/12*s**4 + 36*s. Let l(r) be the first derivative of b(r). Find the first derivative of l(d) wrt d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2 + 1. Suppose -3*b - 2*p + 30 = p, 5*b - 48 = -3*p. Calculate the smallest common multiple of b and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 28 + 182. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 - 3*t - 5. Let m be s(-8). Suppose 5*z - 3*z = v + m, 3*z - 29 = v. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -36. Suppose 2*u + w - 9 = 0, 0 = 4*w - 6 - 6. Factor -y*m + 8\/3 + 98\/3*m**u + 14*m**2.\nAnswer: 2*(m + 1)*(7*m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554*5.\nAnswer: -2770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 281*i = -282*i + 36, 5*i = -3*a + 60. Solve 5*k = -5*q + a, 5*q + 15 - 1 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 8 - 16)*(-1 + 1 - z)*(-29*z + 3*z**2 + 29*z).\nAnswer: 84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 124*f - 3468. Give x(-84).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 536 in 0.02, -1, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 + -249. Solve -3*o - 4*l = -0*o - 11, 3*o = -v*l + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-3 - -1) + -2 - (9 + -6 - 50)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472139396 and 3176.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -12 - (-1 - 2)) + (-12 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*v. Solve 3*o + v*l = 13, -o + 0*l - 3*l = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001719356 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, h: 2, n: 1, w: 4}. Give prob of sequence rw.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -1 (c) 3\/2 (d) 0.5 (e) 3 (f) -54\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -25, -55, -97?\n\"Answer: -6*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4 - 2*o**3 + 92*o**2 - 160*o = 0.\nAnswer: -8, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 35 + 25*f**3 - 33 - 28*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*20\/(120\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16479, -132393, -447207, -1060371, -2071335, -3579549, -5684463?\n\"Answer: -16575*u**3 + 111*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0639 + 0.0769. What is the third smallest value in 2\/9, -0.4, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 100*q**3 + 1. Let n(y) = 3*y - 1. Let j be n(-1). Let m = j + 30. Calculate the remainder when v(1) is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -14*q + 32. Suppose -3*w + 17 = -q*z, 8*w - z = 3*w. Is -1\/117 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22908700 by 10700.\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 13*r + 19. Let t be m(-13). Solve 5*n = -6 - t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1695364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 108 = 90. Let y(r) = r - 5. Give y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*s + 127 = 111, 5*s = -20. Put 3, 2, -2, -4, b in ascending order.\nAnswer: -4, -2, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5\/4 - 73*v**4\/4 + 151*v**3\/2 - 229*v**2\/2 + 307*v\/4 - 77\/4.\nAnswer: -(v - 1)**4*(v + 77)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 51*h + 2*h**3 + 3*h**2 - 51*h as x*h + g + r*h**3 + j*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 22*k + 28. Is x(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/120 + 7*i**5\/60 - i**4\/24 + i**3\/3 - 74*i**2. What is v(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(180))\/sqrt(4)*6 + -1 + ((sqrt(500) + -1)*-5)**2*5.\nAnswer: -2572*sqrt(5) + 62624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-7)\/168*28\/(-12)*-2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/5)*q*((q**(2\/19)\/q)\/q*q)\/q)**4)**(-10\/11) assuming q is positive.\nAnswer: q**(72\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 3) + 85344\/3360?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448128350.\nAnswer: 2, 5, 17, 137, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 358997 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = 3*s + 37, -59*s + 65 = 5*v - 65*s for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (868\/10)\/((-35)\/(-175)). Suppose 12576 = -422*o + p*o. List the prime factors of o.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*j*p**2 + 8975*i**3*p**3 + i**3*p - i*j**2*p**3 + 2*i - 2*j**2*p wrt p.\nAnswer: 53850*i**3 - 6*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/11 (b) 40 (c) -0.5 (d) -12 (e) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5148.3 + -5148. Put 5, -4, 2\/5, f, -0.04 in decreasing order.\nAnswer: 5, 2\/5, f, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.89 + -105.11. Let h = -107.72 - n. Let t = 0.62 + h. Sort 3, 36, t in descending order.\nAnswer: 36, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 20*q**2 + 88*q + 68. Let r be v(8). Find x, given that 2\/7*x**r + 4\/7*x - 4\/7*x**3 + 0 - 2\/7*x**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8177*k**2*n**3 - 2*k*n**3 + 3*k*n**2 - 2350*k + 2 wrt k.\nAnswer: 16354*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2336*p**2 + 4666*p**2 - 2332*p**2. Let j(i) = -4*i**2. Give j(u(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 474 - 473.677. Let q = 0.28 - m. Let w = 1.023 + q. Round w to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1270 and -1\/3175?\nAnswer: 6350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404018 (base 10) in base 3?\nAnswer: 202112012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12291 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/10 - 4\/10. Suppose -2*u = -u + y*j + 21, -4*u - 2*j + 6 = 0. Let o = 27 - 17. What is the lowest common multiple of o and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.851 - -16.1478. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 10 + 25. Let v(m) = 2*m. Let x be v(o). Differentiate 8 + 0*z**3 - x + 2*z**3 with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-40)*k*k)\/k**(-8))**(-1\/3))**(-25) assuming k is positive.\nAnswer: k**(-725\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.7. Let p = 0.2 + q. Let s = -13 + 8. What is the closest to 1 in -0.4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 6. Let p be g(-6). Let z be 213*4*4\/(-64)*-4. Suppose p*x - z = -3*x. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 10:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -34. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 21\/485, 5, -4, 3 in descending order.\nAnswer: 5, 3, 3\/5, 21\/485, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19502309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/54*435)\/((-8)\/14*(-1365)\/1170)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.22010469 to two dps.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001778591 to six decimal places.\nAnswer: -0.001779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506098 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**2 - 6. Let q(o) = -o**2 + 2*o + 50. Let d be q(-6). Let a(i) be the first derivative of 25 - 246*i**2 + 0 + 20 + 245*i**d. What is a(u(r))?\nAnswer: 12*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 6*t**2 - 2*t - 13. Let g(q) = -q**3 + q**2 - 2. Give 6*g(p) - y(p).\nAnswer: -4*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -133*w**2\/2 + 2073. Let s(c) = -25*c. Calculate j(s(p)).\nAnswer: 3325*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i + 4 - 4*i + 3*i - i**2. Suppose 0*y + 2*y = 0. Let p be l(y). Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from tjjjjjjejtjjjjjtj.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 9:59 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 1. Let j be k(1). Let a be (-2 - j)*-1 - -220. Is a\/6 + 1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(147) - (2 + sqrt(147)) - sqrt(147)) + -2)*-3)**2 + (((sqrt(24)\/sqrt(2))**2 + sqrt(3))*4 - (-1*sqrt(9)\/sqrt(3) - -5*sqrt(12)\/sqrt(4))).\nAnswer: 18144*sqrt(3) + 52860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51010 and 3928.\nAnswer: -200367280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 206211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450082?\nAnswer: 2, 139, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:39 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47240061 divided by 1431517?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**8))*q*q**(-14)\/q assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-4)\/(-8)*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 61018707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84259.16 + -84259. Let r = -7\/328 - -6\/41. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*n**3 - 1155*n**3 + 544*n**3.\nAnswer: -92*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3\/8 (c) 33971368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose 3*y = 5*y - q - 1, z = y - q + 2. Suppose 6 = y*s - 3*x, -s - 2*s = x - 18. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2109*m**5 - 322*m**3*p - 107388*m*p + 4*p wrt m.\nAnswer: -42180*m**3 - 1932*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698.7 rounded to the nearest 10?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12167601324182 and -49?\nAnswer: 12167601324231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -58\/7, 1, -104\/7, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) + (-435)\/(-55)*2. Let m(v) = -v**3 - 5*v**2 - 5*v - 2. Let d be m(-4). Solve 7*a = -q + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(7 - 2825\/425).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(-45)\/(-75)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((3 - -7) + -3 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/765*15)\/((-7)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + -1*sqrt(2736)))**2 + -1 - (-5 + (sqrt(912)\/sqrt(3))**2).\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1594 - -1589. Suppose -2 = u + 4*q + 7, -1 = 3*u - q. Let o be 2\/3 + (-2 - u). Sort o, -2, f in decreasing order.\nAnswer: o, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-6) + 2\/(-6). Calculate the remainder when 17 is divided by 4 - (-3 - (g - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-531)\/(-126) - (-2)\/7 - (-1121)\/177. Factor 17\/3*j**2 - p*j - 1\/6*j**3 + 16\/3.\nAnswer: -(j - 32)*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45513947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 483 - 477. Let r(b) = -7*b**2 - 13*b - 5. Let n(y) = 4*y**2 + 6*y + 2. Let m(p) = -5*n(p) - 3*r(p). Let u be m(-9). Solve 3*f = u*f + j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = -11. Suppose -12 = -p*n + 24. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 94 - 146. Let d be 42\/4*t\/18. Let v be d\/5*10\/(-4). Which is the third smallest value? (a) v (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23062 + 23062.031427. What is h rounded to 4 decimal places?\nAnswer: 0.0314","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -216*i + 1366. Determine b(8).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -5.53.\nAnswer: 525.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 11*w + 5. Let u be g(13). Is -20 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596770174 and 4004?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 33 = 93. Let z be -3 + (-1)\/(2\/d). Is (0 - (-51)\/12)*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + 0*d)*(53*d - 48*d**2 - 53*d).\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22 - 5670*w - 24 - 3090*w + 22. Let o be f(2). Round o to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(3\/1168). Suppose j = -5*r - 446. Let i = -49 - r. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88620052?\nAnswer: 2, 109, 439, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -42 - 5525. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -4, -15\/11, 5\/2, -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2539 - 2487 - 53*a + 4917. What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*n + 19 + 9, -20 = 4*n - 4*d. Is 4 a factor of 28\/(-12)*n\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 295, -1399.\nAnswer: -1399, 134, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5554809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-z + 8*z + 3*z)*(2 - 3 + 3)*(3 + 6 - 4) to t + i*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwmpwptmxtmxhx. What is prob of sequence hm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -1\/3, -1.1 in decreasing order.\nAnswer: -0.08, -1\/3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -26. Let r = c - 16. Let q = r + 0. Is -2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 20*h**2 - 2*h**2 + (0*h - h + 2*h)*(-9*h + 0*h + 5*h) - 3*h**2 - 2*h**2 + 3*h**2 to u + y*h**2 + l*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d6c08 + -108?\nAnswer: -1d6d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3936166*u + 12635544 wrt u.\nAnswer: -3936166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-192)\/84)\/((-40)\/28 - -1). Let l(p) be the first derivative of -18*p**2 + 37 - v*p**3 - 8*p. Factor l(c).\nAnswer: -4*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpip when four letters picked without replacement from fiplpl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from uicivchchhcccuhihh.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850, 978, 1106, 1234, 1362, 1490?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 151455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -153. Suppose -3 + 0 = -4*w - 5*p, -4*p - 27 = -w. Suppose w*a - 105 - 28 = 0. Calculate the remainder when m is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 + -167. Sort -1\/2, m, 4, -4 in descending order.\nAnswer: m, 4, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) - (sqrt(1344) + (sqrt(1344) - 2*sqrt(1344))) - sqrt(252)\/(sqrt(12)*-2 - sqrt(12)))\/(3*(sqrt(1008) - 2*sqrt(1008)) - sqrt(1008)).\nAnswer: -25*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 2, f: 1}. Give prob of sequence kzk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123232 + -112?\nAnswer: -3130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 48*c**2 - 99*c - 301. Give p(-26).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9468708*f. Let o(r) = 11*r. Determine x(o(l)).\nAnswer: -104155788*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -195, -211, -251, -327, -451, -635?\n\"Answer: -2*v**3 - 2*v - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -227, -226, -225, -224, -223?\n\"Answer: b - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -340 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/11 - 898*d\/11 + 5676 = 0 for d.\nAnswer: 86, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 11205*s - 446421. What is a(40)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15321 - 14696. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 1114171*m + 3342522 = 0 for m.\nAnswer: -3, 1114174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 12136?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuttuuuuuuxuuuuuuxuu. What is prob of picking 1 u and 2 t?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.38 + -6.78. What is the closest to 2\/5 in 6, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686 - -1017. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19886620 by 76487.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 114840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3. Let f be c(2). Solve -3*a + 5 = -f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a century in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Let u = 9 + -7. Suppose u*s = -2*t + 18, 9 = -t + 5*s - y*s. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2023854, 2023857, 2023860, 2023863, 2023866?\nAnswer: 2023869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-466204)\/(-20095) + 4\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105\/2 - 52. Solve -1\/2*z + v*z**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a697 - 25?\nAnswer: -36a711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 0.3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2 + 2*s - 413. Give o(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 809857 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 9*x**2 + 13*x + 31. Let h be y(-9). Let g = 86 + h. Solve g*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -16, -33, 4, 7\/5 in ascending order.\nAnswer: -33, -16, 7\/5, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 445861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 612.\nAnswer: 29\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*z + 162*z - 8784. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8765, -2, 0, -1 in decreasing order.\nAnswer: 8765, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010011010100 (base 2) in base 12?\nAnswer: -32784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729\/(-6)*1276\/(-17226).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 - 5*j - 3. Let q be u(4). Let r be -3 - 3 - 1 - -8. Suppose q*o = r - 37. Which is the closest to -1? (a) 1 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -g, -3*g + 4*y = -2*g - 11. What is the first derivative of 12*s**2 + 22 + 33*s**2 - g*s**2 wrt s?\nAnswer: 68*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -40*u**3 + 16*u**2 - 20*u + 4. Let z be h(-4). What is the greatest common divisor of 261 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -1896*t**5\/5 - 4054*t**3\/3 - 612. What is the third derivative of z(b) wrt b?\nAnswer: -45504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9129159 and 2790?\nAnswer: 91291590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((14 + -3 - 0) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1058 divide 15282227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -15 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 9. Let a be r(6). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 66 - 42 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 27*n**4 + n + 25*n**4 - 2 to the form a*n + y + s*n**2 + m*n**3 + l*n**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juvuv. Give prob of sequence uvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 12 + (9 - (7 - 3) - 8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -3.2. Let p = -2330 - -2329.023. Let o = p + -3.023. Which is the nearest to 0.1? (a) m (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 367. Suppose 4*q - 57 = i. Let u = -40 + q. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 27 - 41 = 78. Let i(y) = -5*y + 25. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27416 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeyeevee. What is prob of picking 1 v and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 863051 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199940*s*w**4 + 219289*s*w**2 + 500*s*w + 1053*w**4 - 1 wrt w.\nAnswer: -4798560*s*w + 25272*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from rrrrururuuuurrruuu.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + 2 - (43 + -27 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h**3 + 2036*h**3 + 3358*h**3 - 501*h**3.\nAnswer: 4852*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*y + 12 = 0, 18 = -b - 4*b - 2*y. Let i be (-50)\/(-18) + b\/(-9). Suppose -4*d - i = -5*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * 0.07047.\nAnswer: -9.44298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 892 + -576. Let m = 626 - i. What are the prime factors of 2\/8 - m\/(-8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -7 + 6 + 1 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = -0. What is the biggest value in y, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 21*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113020121010 (base 4) to base 10.\nAnswer: 6063684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2043, -3851, -4989, -5121, -3911, -1023, 3879?\n\"Answer: 56*d**3 - d**2 - 2197*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.5621 grams in tonnes?\nAnswer: 0.0005845621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 + 5 - 7*b**2 + 13*b**2 + 7*b - 5*b**2. What is n(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -5*f - 72. Suppose j + 55 = 6*p, -4*j + 15*p - 22 = 13*p. Put f, j, 4 in decreasing order.\nAnswer: 4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -30, -26, -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p + p)*(-p + 0 + 0) + 81*p - 81*p - 42*p**2 - 2*p**2 + 3*p - 3*p + 2*p**2 - 3*p**2 + 3*p**2 to the form l + y*p**2 + m*p and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15 + (-33)\/63\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 10 - 16 - -6 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/20)\/(2\/(-5)). Suppose -r*o - 3*x = 1 - 4, o - 5*x = -29. Let y be -2*(-11 - 243\/(-18)). What is the smallest value in -2, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10567 - -10566.5. Which is the fourth biggest value? (a) 1 (b) 0.2 (c) s (d) 0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -75, -98, -139, -204, -299, -430, -603?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -724 + -12c?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 6:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -15315.6658 to the nearest one hundred.\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*a - 24, a + 1 = -k + 7. Let c(p) = k - 8*p**2 - 2 - 1 + 10*p - 2*p. Let g(z) = -z**2 + z + 1. Let i(b) = c(b) - 10*g(b). Factor i(d).\nAnswer: 2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 353 = -4*m, 5*m + 3*a - 290 = 164. Let i = m + -57. Suppose -4*t + 33 = -31. Calculate the greatest common factor of i and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203225130.\nAnswer: 2, 3, 5, 79, 101, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 469 in 650, -4, -0.4, 2\/9?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t**2 + 32*t**2 - 146*t - 21*t**2 - 64*t**2.\nAnswer: -111*t**2 - 146*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364065060 to the nearest integer?\nAnswer: 19080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 0*f**2 + f**2 + (f - 2*f + 0*f)*(0*f - f - f) + 2 + 4*f + 2*f**2 - 5*f - f**2.\nAnswer: 4*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2780 + -11119\/4. Which is the smallest value? (a) v (b) 4 (c) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 3*l**2 - l + 5. Let i(t) = 3*t**3 + 3*t**2 + 2*t - 5. Let u(f) = 5*i(f) + 4*p(f). What is the remainder when 5 is divided by u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**27*m**22*m**(-13) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 15*k = -4 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -27*b + 14. Let g(o) = -14*o + 7. Let c(d) = 6*a(d) - 14*g(d). Differentiate c(t) with respect to t.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15 - 10*c**2 - 17.\nAnswer: -10*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 18*z**2 + 15*z - 203. Calculate u(18).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2698 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 less than or equal to -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1499, 3360, 5955, 9278, 13323, 18084, 23555?\nAnswer: 29730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.5, -115\/4, -4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -68*o - 155. Is s(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14387\/744156 + 3\/5906. Find the common denominator of v and 95\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108136274?\nAnswer: 2, 37, 1461301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/14298 and -47\/2.\nAnswer: 14298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/12 - 5*f**3\/6 + 2*f**2 + 5*f. Let z = -3 + 6. What is the smallest common multiple of g(-5) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*w + 7, w - 4*w - 9 = -n. Suppose 0 = 4*g + 8, 4*b = -2*g + 8 - 0. Let a be (-5)\/b - (-3 - -1). What is the closest to n in -5, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39\/5 - 38\/5. Which is the smallest value? (a) z (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 1, g: 1, p: 1, u: 2, m: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000028030715 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.08624204 to four dps.\nAnswer: 0.0862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -512904.7 to the nearest 1000.\nAnswer: -513000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 190. Let h = 29 + -16. What is the remainder when s(-43) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 26 = d + 4*d, -15*b - 57 = -3*d. Let v(x) = 4*x**3 - 9*x**2 + 4*x - 3. Let t(q) = -3*q**3 + 8*q**2 - 3*q + 2. What is b*t(c) - 2*v(c)?\nAnswer: c**3 - 6*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13946190 and 6880.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17542 - 17416. What is the remainder when 257 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**4 + 3*p**4 - 4*p**4 + 0*p**2 + 7*p**2 wrt p?\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/((-12)\/(-32))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.9333?\nAnswer: -0.27999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11321666 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 1, v: 6}. Give prob of picking 2 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i**5 + 2592*i**4 + 8516*i**3 + 8512*i**2 + 2820*i + 296 = 0. What is i?\nAnswer: -37, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.19 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53abe5 (base 15) in base 11?\nAnswer: 2282150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let i be (5\/(-6))\/(2\/3). Which is the smallest value? (a) i (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 3, -5, 30, 5, 39, -2 in ascending order.\nAnswer: -5, -2, 3, 5, 30, 39, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 + b + 1. Let y(q) = -2*q**3 + 90*q**2 - 233*q + 6. Let h(a) = -3*t(a) + y(a). What is the second derivative of h(v) wrt v?\nAnswer: -30*v + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 6*m - 1. Let y(k) = 14*k**2 - 17*k - 3. Let j(p) = -17*u(p) + 6*y(p). Let s(h) = 6*h**2 + 2*h + 2. Give -4*j(b) - s(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 - 158. Suppose -f*u = -0*u - 1356. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2 + x - 2 + 4. Let w(m) = 137*m - 24. Let v(z) = -45*z + 9. Let h(k) = 8*v(k) + 3*w(k). What is h(j(q))?\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d + 27. Let n(x) = -15*x - 26. Let g = 51 + -48. Let b(l) = g*n(l) + 2*s(l). What is the units digit of b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/10*10\/15?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29210085.\nAnswer: 3, 5, 216371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*n = 220, 0 = 4*s - 9*s + n + 358. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a factor of 1488569737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - (14 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 8*h**2 - 9*h - 10. Let k be x(9). Let s = 27 + k. Find the first derivative of -s*f - 3 + f**3 + 17*f wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3391283179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:59 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151.97 + -47.97. What is the nearest to 1\/4 in -1, -4, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - 258\/22)) + (-350)\/(107100\/3978).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 7. Let q be f(-5). Let m = 12.1 - 20.2. Let x = m - -8. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 80374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f - 6. Let v(z) be the first derivative of -3*z**4\/4 + 2*z**3\/3 + z**2\/2 - 2. Let o be v(-1). Solve o*m - 11 = j, -f*j - 5*m + 5 = -4*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Let y = 178\/129 - 2\/43. Let p = -3.2 + 3. Which is the nearest to 0.1? (a) w (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356720553.\nAnswer: 3, 7, 47, 120473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 17*m**3 - 6 + 10.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 0 + 13 + -11 + -25 - -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -1225?\nAnswer: 122b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 + -228. What is the common denominator of -73\/56 and (182\/1225)\/13*205\/n?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 804 by -2.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25627183*h**5 + 156324*h**2 - 49 wrt h?\nAnswer: -1537630980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 15*y**2 - 16*y + 4. Let t be u(-8). Let w = -94 + t. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 11124\/105) + -4 - 17*(-28)\/(-8330)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -13. Let j = x + -37. Let a = j - -19.00000106. Round a to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1872) - -2*sqrt(1872)) + -3 + -3 + -4).\nAnswer: -72*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(-2*-1*sqrt(432) + sqrt(432)) - (2 + sqrt(432) + sqrt(432) + -2*sqrt(432) + -5 + -5 + 2*sqrt(432)))**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6598.4 times 0.1\nAnswer: -659.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1593 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030784483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09275 rounded to three decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 158, 244, 332?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -8, 21\/2, -0.2 in decreasing order.\nAnswer: 21\/2, 10, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2467926*z + 2467923*z - 46 + 25.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-11 - (12 - 38) - 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -1570914286.\nAnswer: -1570914293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5959968 divided by -2979984\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*h + 17 = 39, 97 = 4*k - 29*h for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1345 - -3642. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22820 - -12720. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45488032 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:38 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220077*f**2 + 1 + 220092*f**2 - 1.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(66\/(-36) + (-1)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 2}. Give prob of sequence jjb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/906003 and 74\/8865?\nAnswer: 4530015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 6. Let u(r) = -841*r + 4188. Let o be u(5). Let y(x) = -x - 2. Determine o*y(c) - 6*g(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sppphekeesekh. Give prob of sequence hhe.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 21 = -5*g. Suppose u - 1 = -4*q - 5, -3 = 5*u + g*q. Solve u = -j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let m = -2.87 - -2.57. Let q = -0.3 + 2.3. Which is the nearest to q? (a) 1\/4 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - 0) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 436785 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 49.78. Let n = 0.92 + w. Let k = -1.3 - -0.3. Sort n, 3\/2, k.\nAnswer: k, n, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (-10 - (-3 - 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 9*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 4943?\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:30 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-3) - (-14)\/2. Let m = -1 - -1. Let t = -5 + 4.7. Sort f, t, m in descending order.\nAnswer: f, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-54) - (-16)\/9. Let w(p) = -p**2 - 6*p - 3 + p + 0*p**2 + i. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-24) - 8\/(-32). Let r = 3.4 - 0.4. What is the smallest value in r, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 570\/(-1995) - (4\/(-18) + 422\/(-693))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 - -1) + -3 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.336 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 - 1508*r**3 - 112312*r**2 - 827136*r - 1607040 = 0.\nAnswer: -279, -90, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2502*h - 758089. Calculate q(-303).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12871085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, 419, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -7*q - 33. Let c be q\/143 - (-2)\/(-13). What is the biggest value in c, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5034772*l + 7876249 with respect to l.\nAnswer: -5034772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5) + 2)*22\/44. Put -0.3, -18, m, 1 in ascending order.\nAnswer: -18, -0.3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 14*v**2 + 11*v**2)*(27 - 1 - 51)*(-v - 5*v + 3*v).\nAnswer: -750*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2021, 1309, 6853, 14605, 24559, 36709, 51049, 67573?\nAnswer: 86275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1124?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 13*d**2. Let n be m(13). Suppose -28 = -5*o - 3*b, 2 = 2*b - n*b. Suppose -o*r + 92 = -r. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 6*j + 6*j + 5*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*1 + (sqrt(19) + 1 - sqrt(19)) + 4 + -3 + -3*-2*sqrt(2736))**2.\nAnswer: 284*sqrt(19) + 95783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, -1, -6\/5, 1.11?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**2 - 3*v + 2. Let s be m(1). Let h(y) = y**3 + 18*y**2 + 17*y + 2. Let p be h(s). Let l(t) = -52*t**2 + 30*t**2 + 23*t**p. What is l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265 and 2265868.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549919102?\nAnswer: 2, 241, 1140911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277\/2 - -138. Which is the nearest to -0.1? (a) 0 (b) 0.04 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30\/1753, -1\/35, -4, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6442, 6487, 6532, 6577?\n\"Answer: 45*a + 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -14 + 36 - 4*1. Suppose -2*l + m + 48 = 0. Calculate the highest common divisor of l and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -543 + 862. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*g - 22 - 10*g - 14*g - 11*g - 16*g to q*g + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/148 and 103\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18909098 to the nearest integer?\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2127 - 723 = -10*n. Is 95 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 28 + 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3881 - -6440. What are the prime factors of s?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0 - (0 - 1). Suppose 12 = -2*h - 4*i, -h + 2*i + 6 = h. Let n be 3 + (-195)\/(h - d). Calculate the greatest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302477978 divided by 121?\nAnswer: 2499818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.74 - -0.8. Let p be -5*(1083\/95 - 11). Sort -5, j, -1\/5, p in decreasing order.\nAnswer: j, -1\/5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 185 = -11*v, 0 = -4*h + 3*v + 11773 - 11809 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149.\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3090\/(-6180)*((2 - 14) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -131 (b) 1\/2 (c) 5\/3 (d) -13 (e) -1\/19 (f) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -321957, -321972, -322003, -322056, -322137, -322252?\n\"Answer: -b**3 - 2*b**2 - 2*b - 321952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:23 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgggd. Give prob of picking 2 g, 1 d, and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 less than -865.01095?\nAnswer: -856.51095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556 divided by 939.\nAnswer: -556\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 123 - 117*s**2 - 96 + 219 to the form t*s + v + f*s**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. Let t be p(-5). Suppose 5*f - 3*f = 10, 5*c - 4*f + 15 = t. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -3, -219, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -17*g**4\/12 + 11*g**2 - 5*g. What is the first derivative of x(w) wrt w?\nAnswer: -34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(1566\/9396).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 12*u**2 - 8*u + 5. What is x(-10)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 2*z + 7. Let h(v) = -10*v**3 - 7*v + 22. Calculate 7*f(j) - 2*h(j).\nAnswer: -j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/9 (b) 35 (c) 104 (d) -0.5 (e) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1108\/(-304) - (770\/95 + -8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444605.\nAnswer: 3, 5, 193, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 3*b + b)*(2 - 4 - 5)*((-4*b + b + 4*b)*(-4 + 1 + 2) + 2*b + 0*b - 4*b + 0*b + 0*b + b).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12517 - 6982 = -910*y + 10531 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -60 + -107 + 31.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*h - 7*h + 124, 3 = -s. Let d be h\/98 - (-19)\/7. Suppose 0*f - 34185 = d*f - 5*k, -4*k - 57012 = 5*f. Round f to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 343023526?\nAnswer: 343023506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/14 and 45\/435268.\nAnswer: 3046876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(19) + 0) + 2*sqrt(304).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 - 2*u - 18. Let b(m) = 2*m**3 + 3*m**2 + 3*m + 36. Let q(s) = 3*b(s) + 5*h(s). What is the tens digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 133?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313894.\nAnswer: 2, 7, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 + (-2)\/(-10). Let f(u) = u**2 + 2 - 1 + g*u**2. Let t = -35 + 36. Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 714 + -27714. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*w - 8, -5*u - 15 = -6*w + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*m + 9387189 = -2135383 - 9609617. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 97. Let r(f) = 7*f**2 + 194. Let z be -2 - (-1 - 0)*-3. Let m(i) = z*p(i) - 2*r(i). Let v be m(0). Round v to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145068 divided by -1142?\nAnswer: -2754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 31*a**5\/60 - 21*a**4\/8 - 3*a**2 + 8*a. Find the second derivative of t(v) wrt v.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000297233452 rounded to 6 decimal places?\nAnswer: -0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i - 31. Let n be w(1). Suppose 0 = 5*a + n*o - 36488, 3*a + 8*o = 11*o + 21888. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 2*d + 4*r, d - 1089 + 949 = r. Solve d*o - 99*o + 175 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 3. Let s be (-25)\/(-4) - (-2)\/(-8). Let o be v(s). Do o and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let y be (-1)\/(-2)*u*-1256199. Let l = 2066199 - y. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 6*c**2 + 3*c - 6. Let k be x(6). Let o = -10 + k. Put -5, o, 4 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*b**4 - 34*b**4 + 18*b**4 - 23*b**2)*(-1 + 0 - 2) as w*b**4 + u + q*b + c*b**3 + d*b**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-9)\/((-54)\/12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5187 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1706*k - 250756. Calculate w(147).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13392 + 3839 = q, 0 = -3*q + 5*h + 51748. Is q a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*y - 90, -4*y - 37 = -4*d + 51. What is the remainder when 144 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:26 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/3, 28\/363, -1\/4, -4, 2 in decreasing order.\nAnswer: 2, 2\/3, 1\/6, 28\/363, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2 - 6*l - 7. What is the least common multiple of a(-4) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 169, 10105, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3872 and -161\/127776?\nAnswer: 127776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/1611 + 3170\/20943. Factor -14\/13*j + 24\/13 + w*j**2.\nAnswer: 2*(j - 4)*(j - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*j + j**2 + 6*j)*(0*j**3 - 3*j**3 + j**3 + 2*j**3 - 2*j**3 + 2*j**3 + (-3*j + 0*j + 2*j)*(-2*j**2 + 2*j - 2*j)).\nAnswer: 2*j**5 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 - r - 2. Let q be p(3). Let v = 16 - q. Which is greater: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(105\/(-63) - (-7)\/14). Factor -10\/7*b - i - 2\/7*b**3 - 8\/7*b**2.\nAnswer: -2*(b + 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-318)\/(-14) + (-48)\/(-168). Suppose 0 = -15*x + f*x - 432. What is the greatest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 205 + 180. Suppose l*w = 16*w - 44. Solve 2*p = 3*r - 12, 2*p = -4*r + w - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/21)\/(-1)*-7. Suppose t*w + 4*w - 21 = 0. Suppose -w*j - 17 = -5, 0 = -3*s - j + 5. Are 1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(316 - 77 + 146)*(-3*z**4 + 7*z**4 - 2*z**4).\nAnswer: -1540*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 5. Let f(v) = -3*v**2 - 12*v + 131. Let i be f(5). Calculate x(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*z**5 + 61365*z**3 - 43740284*z wrt z?\nAnswer: 660*z**3 + 368190*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142307?\nAnswer: 11, 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002211 + 0?\nAnswer: -11002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7) + (29 - 18) + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*z - 133, i + 5*z + 55 - 14 = 0. Let r = -27 - i. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5264918 and 25288.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 = -1564*j - 16058 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829223*h**4*n**3 + 2*h**2 + h*n**3 + h*n + h + 3869*n**3 - 25 wrt h.\nAnswer: 9950676*h**2*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/116856 and 155\/792.\nAnswer: 1285416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4 - a - 6*a + 2*a**2 - 2 + 3*a. Let b(p) = -p. Give 4*b(s) - m(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -56412.65\nAnswer: 56412.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (7\/(-3) + 2). Let t = 199 - 204. Let w = 0.4 + -0.3. Which is the biggest value? (a) m (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 48 = -5*s. What is the greatest common factor of 30 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + k**2 + 0*k**2 + k + 2. What is the least common multiple of 1\/(-2) - 30\/(-4) and u(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26538 and 72.\nAnswer: 318456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.01, -0.5, 108600, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 271782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 6\/2 - 2. Let v be (8 + j + 0)\/1. Suppose -v = -n - n. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(25)\/(sqrt(45) + sqrt(5)) + sqrt(5) - (-3*-2*sqrt(500))**2.\nAnswer: -18002 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*c - 323 - 121, -4*p + 4*c = -884. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+1712\nAnswer: 1711.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 183.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 o when four letters picked without replacement from tttcttcocctctottttt.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 7*x**4 + x**3 - 1 + 976*x**2 + 974*x**2 - 1949*x**2 + 2 as v*x + w + k*x**2 + p*x**4 + g*x**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 65. Let l(t) be the third derivative of 1\/105*t**7 + 1\/3*t**3 + 0*t**5 + a*t**6 + 0 + 0*t**4 + t**2 + 0*t. Differentiate l(n) with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 83 = 49. Suppose -4*z = -v, -3*y - z + 3 = -5*z. Solve 50*f**3 - f + f + 5*f**y - 55*f**3 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -791\/11? (a) -9\/2 (b) -2 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 706*a**2 + 713*a**2 - 1410*a**2 - 253 wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13463*c**3 + 26*c**2 + 15*c - 15. Let j(g) = 3362*g**3 + 7*g**2 + 4*g - 4. What is 4*h(f) - 15*j(f)?\nAnswer: 3422*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = -3*o - 21, -a + 13 = -2*o. Let l be -1 + (-1 - -1 - o). What is the units digit of (-2 - (-16)\/l)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256 (base 10) to base 5.\nAnswer: 20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354362206 and 308.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*y = -457*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*h**3*p**3 + 5*h**3*p**2 + 4*h**2*p**2 + 2*h*p**3 - 8*p**2 wrt p?\nAnswer: 1482*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.33 - -1.2. Which is the third biggest value? (a) l (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and (-11466)\/(-735)*(43 - 3).\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 59*m**3 + 3*m**2 - 3*m + 1. Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -1\/3, -0.1, 0 in decreasing order.\nAnswer: 0, -0.03, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 2224 = -12*c. List the prime factors of c.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-42)*85500\/5985.\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/9)*r)*r*r**(-10)*r)**(-10\/9)\/((((r**(-7)*r)\/r)\/(r*r**(-6)))\/(r**6*r**6)) assuming r is positive.\nAnswer: r**(1864\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.163002 millilitres?\nAnswer: 0.000163002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 27 = 3*b. Suppose 48 + 24 = b*s. Solve -2*q - s = 4*l, -19 = -0*q - 2*q + 5*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59.93837l?\nAnswer: 59938.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16)*i**3*i)\/(((i*i**(3\/7))\/i*i)\/((i**(-2\/19)\/i)\/i*i)) assuming i is positive.\nAnswer: i**(-1933\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/54)\/((-5)\/45*6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 47 + 247. Let c = v + -28. Let g = c - 1. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 77.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((6244\/(-10))\/(-1))\/((-8)\/40). Let m be (-2)\/(-8) - i\/56. Let l = 58 - m. Solve 2*k - 2 = -2*h - 6, k + 4*h + l = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-7)\/w)*w)**(-7\/6) assuming w is positive.\nAnswer: w**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44008)\/357565)\/(3*(-4)\/90)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 0 + (30 + -18 - -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*b - 3*s, 0 = 2*b + 5*s - 35 + 10. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1680 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*x - 6*x. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((5049\/621 + -8)\/3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -47*a**3 + 8*a**2 + 4. Let w(i) = -i**3 + 2*i**2 + 1. Determine -o(l) + 6*w(l).\nAnswer: 41*l**3 + 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4 = 4. Suppose -4*m - m + 20 = f, i + 3*m - 24 = 0. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0571, 2, 1024.06?\nAnswer: -0.0571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let c(w) = -1946*w - 542. Calculate c(q(l)).\nAnswer: 1946*l**2 - 542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - 231\/45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3382698 + 645095. Let q = -6193542 + r. Let o = q - -4265749. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1445 + 1628. What are the prime factors of d?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 926568 and 765?\nAnswer: 4632840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/2)*k*k**(-2))\/((k*k**13)\/k**(2\/11)))**15 assuming k is positive.\nAnswer: k**(-5385\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50990*o**4 - 297679*o**2.\nAnswer: 1223760*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3936*f**2 + 9*f + 8. Is p(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.314, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48440 and 1974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g + z, 0 = 3*g + 5*z - 3*z + 14. Let i be ((-12)\/(-9))\/(g*(-8)\/24). Solve 0 = -0*p - p + i*m - 3, -4*p - 24 = 4*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*x - 450*x - 17*x**2 + 226*x.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:50 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 29 - 5. Find the first derivative of -5 + 3 - 4 - y + 8*n**3 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 188\/277241 or 0?\nAnswer: 188\/277241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 69*g + 142.\nAnswer: -(g - 2)*(g + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 93. What is the least common multiple of 48 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*d - 28 = -0*d, 2*d = -h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 119. Solve -5*m - 7 = 2*q, 3*q + 2*m + l*m - 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - z + 16 = 0, 19126*z - 19123*z = 5*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*n - 10. Let r be 14*(-1 - n\/2). Solve -4*d - 16 = 4*v, -8*v - r = -4*v - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 22 = 15*c. Suppose 0 = c*o - 0*o - 207. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (0 + (4 - 4) - (-79 - -72))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -19*k**3 + 4*k**2 + 2*k + 4. Is 37 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 - 2*k. Let a(y) = 81*y**3 - 21*y. Give -2*a(o) + 21*u(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((6\/9)\/(6\/(-18))). Solve -4*q - 28 = p*c, 2*c + 24 = -0*c - 4*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -3*p**2 + 6*p - 271. Give h(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m*m**0)\/m))**43*m**(-1\/15)\/m**(-3) assuming m is positive.\nAnswer: m**(-601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16886.81 + 16802. Let n = w + 84. Let v = -0.61 - n. Which is the fourth smallest value? (a) 15 (b) -0.4 (c) -5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 902.999997092 + -903. Round y to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 53*a + 1. Let l be c(3). Let x = 6640 + l. Round x to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1596 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-154)\/110 - 67\/(-5). Solve s*p = 21*p - 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from qzzzqzqzqzqqqzqzqqz.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38509 + -38495. Suppose -4*d + 5*d - 14 = -4*m, -5*m + 25 = 5*d. Solve -n*c + 12*c = -d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2114*z**2 + 12*z + 32. Suppose 6*d + 13 = 2*d - u, 3*u - 3 = 2*d. Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 bigger than -297\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19400, 21061, 22722, 24383, 26044?\n\"Answer: 1661*v + 17739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 2351279*r**2\/4 - 4702561*r\/4 + 2351281\/4.\nAnswer: (r - 1)**2*(r + 2351281)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -0.1. Let q be ((36\/(-63))\/1)\/((3 - 2)*2). Which is the third biggest value? (a) m (b) q (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 38. Give m(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2745, -0.3, 25, -5 in increasing order.\nAnswer: -5, -0.3, 0.2745, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 73657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-10) + (-3102408)\/(-165310) - 16?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 - 13*x - 24. Let y be i(-10). Let u = y - 37\/6. Which is the third biggest value? (a) 2\/19 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 43 = -5*m. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -4. Let w be (4 + -4)\/(-1 + 2). Put 0.2, -0.1, w, b in descending order.\nAnswer: b, 0.2, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -287, 3 in descending order.\nAnswer: 24, 3, 2, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3))**(2\/3)\/(j*(j*j**(-2\/9))\/j*j*j**2)*j**(-1\/7)\/(j*j*j*j\/((j\/(j*j**2)*j)\/j*j)*j)*(j**(2\/7)\/j)**(-34) assuming j is positive.\nAnswer: j**(961\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, i: 2, v: 4, m: 1, a: 2}. What is prob of sequence via?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - ((-3 - (9 + -2)) + (-2 - (5 + -13)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 110 + (-146 - -69)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 920.489724 milliseconds?\nAnswer: 0.00000152197375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275178465*c**2 - 11221*c - 21990 wrt c?\nAnswer: 550356930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497 and 259.\nAnswer: 18389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 4*r**2 - 6*r + 7. Let i be f(5). Let o be (3\/(1 + i))\/(-1). Is (114 - 3) + (-1 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 989840*a*j**3 + 720237*j**3 with respect to a.\nAnswer: 989840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2. Let s(n) = 11*n - 5. Suppose -2*b = u + 2*b + 7, -4*u = 4*b - 8. Let t(q) = -45*q + 21. Let i(z) = u*t(z) + 21*s(z). Calculate m(i(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 33 - 33 - k. Let z(o) = -2*o**2 + 8*o - 8. Suppose 7 = -3*p - 2. Let r(m) = m**2 - 3*m + 3. Let f(t) = p*z(t) - 8*r(t). What is w(f(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-680)\/612*(-9)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -15. Suppose 433 = 3*n - 869. Suppose 2*r - 93 = 5*k + 84, 0 = 5*r - 4*k - n. What is the remainder when r is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -34.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43842318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + c**3 - c**3 + (3*c - c - 4*c)*(2*c**2 - 3*c**2 + 2*c**2) - 12891*c**3 + 4467*c**3 - 2207*c**3 in the form s*c**2 + o + i*c**3 + g*c and give i.\nAnswer: -10632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/52)\/((-16)\/(-3168)). Which is bigger: u or -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (13\/(-20) + 6\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/923328 and 151\/336?\nAnswer: 923328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**6\/720 - g**5\/30 + 7*g**4\/48 + 14*g**3\/3 - 56*g. Let i(d) be the second derivative of f(d). Factor i(n).\nAnswer: (n - 7)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 2*i)*(1 - 1 - 2*i**4) + 10*i - 10*i + 7*i**5 + 0*i**5 + 3*i**5 - 19*i**5 + 3 - 4 - i**5 - 2.\nAnswer: -14*i**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2\/5 (c) 23 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -273, -604, -1071, -1680, -2437, -3348?\nAnswer: -4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 69*l = 90. Let n(c) = -c**3 + 19*c**2 + 4*c + 1. Is n(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/18*((-12)\/81)\/1. Suppose -8*h + 3*h = 15, 5*a + 37 = -4*h. Sort a, 0.3, -1, s in descending order.\nAnswer: 0.3, s, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5420588, 10841173, 16261756, 21682337?\nAnswer: 27102916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+6603220\nAnswer: 6603220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -70*p + 3*p**2 + 24*p + 47*p. Let t(j) be the third derivative of j**5\/30 - 4*j**2 + 2*j. Give 4*t(i) - 3*w(i).\nAnswer: -i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 16*n**2 + 3. Let m(o) = -17*o**3 - 48*o**2 + 8. Let x(i) = -8*j(i) + 3*m(i). What is the third derivative of x(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 331*g + 74. Give v(47).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h = 35968 + 78388. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/13, -50, -2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52010090 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.3 (b) -0.1 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3335)\/(-6325) - (-3)\/11. What is the biggest value in -0.01, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 6. Let u be c(-6). Suppose u = l + 1, 5*l = -3*h + 3*l + 10. Solve g = -0*g - 2, h*x - 5*g = 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -3931614\nAnswer: 7\/1965807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13260000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g, -r + g - 21 = -0*r. Let u be (-6)\/r + 28\/6. Let m be 12\/9 - (-66)\/(-9). Which is the smallest value? (a) -0.2 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8394112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -142, -0.5?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856271331 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 51312*z - 461793. What is a(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -84 - 307295*n + 65710*n - 575091*n. Let f be u(-9). What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 1\/3 (b) -5 (c) 0.11 (d) -7\/2 (e) 4 (f) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujqf when four letters picked without replacement from {q: 1, z: 5, u: 2, f: 1, j: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/(-95)*(-25)\/195. Put y, 5\/4, -518 in descending order.\nAnswer: 5\/4, y, -518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 8 + 4*q - 5*q + (0 - 1 + 0)*(-2*q + 3 - 3).\nAnswer: 4*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 h when four letters picked without replacement from {h: 8, f: 5, n: 2, m: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(72) - -1*sqrt(72))\/sqrt(9)) + (0 + sqrt(15)\/sqrt(3) + 3)**2.\nAnswer: 14 + 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9979, -19977, -29983, -39997, -50019, -60049, -70087?\n\"Answer: -4*m**2 - 9986*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/66 and -139\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5711.32\nAnswer: 571.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 500?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94723, -1.11, 2\/3.\nAnswer: -94723, -1.11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/21 + 10\/35. What is the remainder when 62 is divided by (0 + (-39)\/m)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -180\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w**4 - 4*w**4 - 3*w**4)*(-1 - 60*w + 1 - 363*w + 58*w).\nAnswer: -1825*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 n when four letters picked without replacement from {p: 2, n: 4, v: 1, d: 2, g: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 2*m**2 + 2*m. Let s be c(2). Let f(x) = x - 2. Let q be f(6). Suppose -2*v = -d + q*d - 19, -3*d + 7 = -s*v. Solve p = v*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amamaao. What is prob of sequence ao?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-22 - -11) - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -244, -506, -864, -1312, -1844?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgllllglgllllls. What is prob of sequence lg?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) 37 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 30392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10605*o**2 - 15892*o + 21. Let s(q) = 7064*q**2 + 10595*q - 15. Let x(j) = -5*f(j) - 7*s(j). What is the second derivative of x(k) wrt k?\nAnswer: 7154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t + 10. Let b be 1*(-7 - 2) - -1. Let g be x(b). Suppose -s - 48 = -4*o - 5*s, 2*o - s = g. What is the remainder when 18 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*u - 316 = -5*o, -43929 = -u + o - 43928 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114161.10247 - -114160. Let g = l - -1.108. What is g rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*z + 15, 6 = 3*v - v - 3*z. Solve v*y - 2 = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (38\/3)\/((-13)\/(-39)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -192 - 60) + -67.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 41*u**2 - 417*u + 4298. Give r(10).\nAnswer: 4228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -490684, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-4 - -34) + -2)) + (116 - 111).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 17*d**3\/3 + 12. Let h(v) be the third derivative of -v**5\/30 + 8*v**2. What is w(h(y))?\nAnswer: 68*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409808407 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2. Let v(w) = -11*w**2 - 4*w. What is v(s(f))?\nAnswer: -44*f**4 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 15*p**2 + 12*p - 61. Let j be u(-16). Suppose j*t + t = 88. Solve 4*f = -3*z + t, -3*f - 8 = -2*z - 4*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czxzzxzcz. What is prob of sequence cxc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 439, 433, 423, 409, 391?\n\"Answer: -2*j**2 + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (38 - 6) + -12 + -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 15 + -14 - (-9 + -4 + -1) - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 10*d + 12. Let l(k) = -k**3 - k**2 + k + 2. Let p be l(0). Suppose q = p*q - 9. What is the lowest common multiple of q and f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7096 = 737*z + 1011 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4562\nAnswer: 22810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 6. Let i be p(1). What is the units digit of (-8)\/(-12)*i*(-3 + 345)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*c - 10, -4 = r - c - c. Suppose r = -0*v + 5*v. Let s be (v + 1)*-2 - -13. What is the highest common factor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 + 2*x - 15. Let l be q(12). Suppose -l*u + 3*u + 372 = 0. Find the third derivative of -2*j + 2*j + 4*j**4 - 52*j**2 + u*j**2 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354860 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 7*f - 8. Let b be r(5). Let k = b - 70. Solve -8 = -5*d + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/1035*(-3)\/(-1)*3735\/80676?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 669 + 6*b**3 - b - 671 + 14*b**2 + 5*b. Let g(q) = 11*q**3 + 27*q**2 + 7*q - 3. Let o(c) = -4*g(c) + 7*n(c). Differentiate o(r) with respect to r.\nAnswer: -6*r**2 - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 35 = 0, -27*c = 5*n - 26*c - 103832. List the prime factors of n.\nAnswer: 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/55 + (-28)\/(-5). Suppose -r*h + 3*x + 0*x = -1292, -4*h - 5*x + 1004 = 0. Let f(m) = h - 256 - m**2 + 3*m**2. Let s(g) = 18*g. Calculate f(s(k)).\nAnswer: 648*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + -120. Let q = o + 401. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -60. Sort -4, 5, w, -31 in descending order.\nAnswer: 5, w, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (3 + -5)\/6*-36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 942*a**4 + 939*a**2 - 2135536 wrt a?\nAnswer: 3768*a**3 + 1878*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -321?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 1 (c) -4 (d) 9171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose 0 = -p*v - 5*v + 125. Suppose -65 + 20 = -9*w. What is the highest common factor of w and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045328 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from yayyyayayy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - i**3 + 2*i**3 - 2*i**3 - 3. Let v(u) = -2*u**3 - u - 4. Let c = 158295 - 158292. What is c*v(r) - 4*z(r)?\nAnswer: -2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 4.04. Let l be ((-4)\/42*3)\/(3357\/2611). Which is the biggest value? (a) l (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus -0.292?\nAnswer: 0.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*g + 7. What is the second derivative of -9*z + 3*z**g - 4*z**3 + 7*z wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - g**4 - 1 + (-g**2 + 2*g**2 + g**2)*(2*g**2 - g + g) + 4 + g**4 - 4 - 21*g**4 + 35*g**4 + 13*g**4.\nAnswer: 31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 67. What is the highest common divisor of g and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91)*3 + sqrt(91)) + sqrt(91))\/(2*sqrt(7)*3) + (-4*(sqrt(208)*-1 - sqrt(208))*-2)**2*-2.\nAnswer: -106496 + 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + (-76)\/28. Suppose -568*c = -557*c + 33. Let y be ((-204)\/(-20))\/n + (0 - c). What is the nearest to 1 in -4, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 - 681*n**2 - 715051*n\/4 + 720495\/2 = 0. What is n?\nAnswer: -243, 2, 2965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/(-92)*(-12)\/(-10)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q**2 - 5. Let t(o) = 1. Determine 6*t(m) + x(m).\nAnswer: -9*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 - 4. Let o = q + -0.198. What is o rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 79*o + 6)*(36*o**2 - 66 + 66).\nAnswer: 2844*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14517 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17558 + -8158?\nAnswer: -25716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.072 + 0.122. Which is the second biggest value? (a) -2 (b) 4 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1253 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 434293 (b) -524 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsttrzdrsit. What is prob of picking 1 i and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1)\/(296\/(-444))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*y = -232, -703*n = -705*n - y + 116. Suppose 0*b - 2*w = 4*b - 112, 4*b - 5*w = 126. Calculate the highest common divisor of n and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10603, 10629, 10677, 10747, 10839, 10953, 11089?\n\"Answer: 11*c**2 - 7*c + 10599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 5:54 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-10))\/((48\/60)\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 + o**2 + 2*o**4 + 6*o**3 + 2 - 11*o**2 + 2*o to q*o + w*o**2 + r*o**3 + c*o**4 + s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (1 - -12 - -11) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1 - 2 + 2*s + 0. Let a be b(2). Let w(d) = -2*d**3 - 113*d**2 - 70*d - 786. Let n be w(-56). Sort a, -5, n, -3 in decreasing order.\nAnswer: a, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*y - 1134 - 300 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**3 - 8*d**2 + 2*d - 6. Let z = -15 - -20. Let f(k) = 7*k**3 - 7*k**2 + 2*k - 5. Give z*n(u) - 6*f(u).\nAnswer: -2*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -80. Let x(d) = -1488*d + 8. Let a be x(2). Is f + a\/(-3) - (-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 250, 229, 192, 133?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/31 and 0.0245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4) + (53 - -2). Suppose r = -10*k + 14*k. Let j be (-12)\/(-10) + 16\/20. Solve 4*d - b = -4*b + 23, 0 = j*d + 3*b - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4420*h - 4 + 4.\nAnswer: -4420*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-467)\/7 - (-6)\/(-21). Let n = 163 + z. Is 1\/(-5) - n\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*i - 49*i**2 + 16*i**2 - 40 - 62*i**2 + 151*i + 114*i = 0. What is i?\nAnswer: 2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06232 minus 7?\nAnswer: -6.93768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 5) + (53 - 25) + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1551, 2999, 4357, 5625, 6803?\n\"Answer: -45*k**2 + 1583*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2378 - -1373. What is the greatest common divisor of o and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702277533 to the power of 1\/2, to the nearest integer?\nAnswer: 51983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+0.553223\nAnswer: 0.053223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2456 by -8.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762261001.\nAnswer: 762261001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((27*v - 4*v - 4*v)*(5 - 2 + 0) - 2 - v + 2)*(-1 + 1 - v) to the form l + k*v + u*v**2 and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1065866519, -2131733037, -3197599555?\n\"Answer: -1065866518*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677080387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-206)\/6*-2. Suppose 418 = 3*c + d. What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165 bigger than 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 20 = 2*u + 2*u, u + 5 = -5*r. Let k(v) be the second derivative of r + v + 1\/6*v**3 + v**2. What is the first derivative of k(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-5*m + 4*m + 0*m) + (1 + 0 - 2)*(-7*m + 3*m + 2*m) - m + 5*m - 3*m + m - 4*m + m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from ehrehhphrrhrhrperhr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/24 + -2)\/((-76)\/(-5244))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-2 + 2 - 6*b**3) + 3*b**3 + 3*b**3 - 4*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 588, -333?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9871 is divided by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 15 = -5*p, 2*p + 4*n + 173 = 163 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (589\/57)\/31*1*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-11 + -154 + 153525\/805?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72975 in 1, -0.5, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - f = f + 12, 0 = 2*f + 4. Suppose -5*q = t + 42, -5 + 2 = 3*q. Let w = 46 + t. Solve 4*j - h = 2*l, 5*j - 4*l = -w*l + 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 2*l - 2*l. Let a be x(-2). Is a >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*w**3 + 3*k**2*w**3 - 1698*k**2*w - 354*k*w**2 - 76*w**3 wrt k.\nAnswer: 12*k*w**3 + 6*w**3 - 3396*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 22*u**3 + 64825000 - 2*u - 64825000.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -749 + 225721009.67\nAnswer: 225720260.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ggdj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:12 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074271 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwg when three letters picked without replacement from xwggi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + 4\/(-14). Suppose 16 + 34 = 2*b + 4*m, -4*b + 5*m + 48 = d. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (-14 - (-19 + -15 + 6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -74588 divided by -18647\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*v = 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 22 = -22*o. Let a(s) = -5*s**2 - 40*s - 30. Let u(l) = -l**2 - 8*l - 6. Let w(j) = o*a(j) - 11*u(j). Calculate w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 0.8. Let f = -2.59 + q. Round f to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(24856\/12)*(353\/(-2118))\/((-1)\/(-8)).\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 at least as big as 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 15*n + 9*n**2 + 5*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*z - 8. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-93255.\nAnswer: 1678590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oerpyse. What is prob of sequence yr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9753 times -37?\nAnswer: -36.0861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 t when four letters picked without replacement from tnnt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 343551869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 2*w + 10. Let d be l(-5). Let n be d*(0 + 36\/(-20)). Let i be -1 + -1 - n\/(-6). Are i and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2439998286 - 3.244. What is k rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18070 + -3053?\nAnswer: 15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190820)\/5075*(-11)\/((-44)\/10).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2268.\nAnswer: -907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 718528 and 2472.\nAnswer: 2155584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2330 and 18?\nAnswer: 20970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c = -11*c - 446 - 334 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(1\/5))**20\/((k\/k**1)**5\/(k**(-1\/3))**(-43)) assuming k is positive.\nAnswer: k**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 21*x + 4*x - 21*x - 6*x - 475 as i*x + g and give g.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 > -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g = 633, 3*g - 6 = -251*k + 125*k + 123*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*((-8322)\/4170 - -2). Are 1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 22*c = 4*c - 37*c. Suppose 1\/3*f**3 + 2\/3*f + c - f**2 = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, 386, -2\/5, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106.79*0.3.\nAnswer: 32.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 122a4 - 0?\nAnswer: 122a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -16. Let d be (-144)\/(-78) + h\/26. Solve -5*u + u - 4*x = -20, -u = -d*x + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2\/2 + 11*r + 25. Let p be 5 + -6 + 8 - 5. Suppose y = -3, -p*y = 4*n - 3*y - 39. What is x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - 2) - (-9 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let h be k(2). Suppose 4*x = -h*x + 8. Suppose -i + 127 = 2*s, x*i + 1 - 60 = -s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(s - s - 2*s) + 18 - 7 + s + 10 to n*s + o and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/591?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26186 is divided by 934?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -278.64 - -278.04. Let m = 1.99 + -2. Is l >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31d0 (base 14) to base 12\nAnswer: -4b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/71605 and 38\/45?\nAnswer: 644445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b**3 - 11*b**2 - 14*b + 23. Let o(l) = 4*l**2 - 760*l - 8 + 1598*l - 8*l**3 - 833*l. Calculate -6*k(f) - 17*o(f).\nAnswer: -2*f**3 - 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 - 3*q**2)*((-q + 0 + 0)*(0*q**2 + 0*q**2 + 2*q**2) + 0 + 0 + q**3).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 49 = 151 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 15*q - 34. Suppose 4*p - 8 = -0*p, -2*s - 12 = -2*p. Let u(f) = -14*f + 33. Let z(n) = s*u(n) - 3*v(n). Is z(10) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13*r**(-13))\/(r\/(r**3\/r))**(34\/7) assuming r is positive.\nAnswer: r**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91724699 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 11229 + 11225 - 7*x - 22456.\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13201 - 3?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -55, -110, -165, -220?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572 is divided by 489?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 59 - 1 = 0. What is the tens digit of (-235 + -2)*r\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s + 9270 = 64*s. Let u = 630 - s. Calculate the greatest common divisor of 192 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148.89375 rounded to the nearest 10?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 19. Suppose -5*r - 77 = 246*i - 248*i, 4*i - 3*r - 147 = 0. Put 0, i, -3, u in ascending order.\nAnswer: -3, 0, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let k be h(-3). What is the derivative of -3191*f**3 - 14*f**4 + 37 + 3190*f**k - 9 wrt f?\nAnswer: -56*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121700 (base 16) to base 8.\nAnswer: 4413400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*t - 80. What is the units digit of t\/21 - (-34916)\/98?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 354*d + 588*d - 942*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (2 + -23 + 293 + -244)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 3*m + 0*m + (-15*m + 11 - 11)*(8 - 7 + 1) to j + a*m and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66303804, 66303805, 66303806?\n\"Answer: v + 66303803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 16*a**2 + 12*a + 19. Determine j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456*s*t*w**5 - 208*s*w - 21055*t + 5504*w**5 wrt w?\nAnswer: -9120*s*t*w**3 + 110080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {i: 1, x: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 - 113. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9618 divided by 42.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2354 + 2367. Let t(f) = f - 1. Let b be t(4). Suppose -3*o = j - b, 0*j + 3*j = -o + 9. Solve -2*z + j = -l, -5*z - l = -5 - g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 139. Suppose 16917 = p*v - 5*n, 8678 = 2*v + 2*n - 8274. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20140297 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 4:18 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 take away -19.535839141122?\nAnswer: 17.235839141122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 5. Suppose -4*n + 12 = d - i, 2*n = 4*d - 8. Let f be 44\/7 - d\/14. Solve 2*z - f*z = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 6) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*t + 11, 3*x + 436*t = 437*t - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9.61 * -1.14\nAnswer: -10.9554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8*b**5 + 592481*b**4 - 2295948*b**3 + 2666293*b**2 - 814706*b - 148128 = 0.\nAnswer: -74064, -1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1892)\/(-330))\/(226\/(-3390))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9*10\/90)\/(3\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 8934*s + 537240.\nAnswer: -(s - 26862)*(s + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let o = -0.43 + -3.57. Let m = 3.1 - 3. Which is the closest to m? (a) o (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18408 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120202 - 1011?\nAnswer: 112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2892)\/(-15)*5\/(-1). Let w = -1370 - s. Let b = 570 + w. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s**3 + 2*s + 725 - 734 + 2*s - 2*s + 2*s**4 to the form h*s + c*s**3 + z + y*s**2 + d*s**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (38 + -63) - ((-33)\/(-21) - 1).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1155*m + 98. Let s be y(27). Suppose -s = -2*n + 1811. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:37 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 250*w + 109. Let s(k) = 1248*k + 544. Let x(u) = -24*l(u) + 5*s(u). List the prime factors of x(4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfhff. What is prob of picking 2 f and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/14396 and 91\/44.\nAnswer: 158356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, -0.3, 86, -0.058, -1\/7 in decreasing order.\nAnswer: 86, 19, 2, -0.058, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295720912 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 - 7*j**2 - 3*j**2 + 2*j**2 - 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6720287 - -6720280.9999984. Let x = g + 6. Round x to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2133?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.693 + 73.1?\nAnswer: 72.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Let x = 6 + c. Let p(w) = w**3 - 6*w**2 + w + 6. What are the prime factors of p(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - t = -56, -4924*t + 4919*t - 54 = 4*y + 2 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-2) + 0)*6. Let l = -15 - y. Let a(v) = 3*v**3 - 6*v - 6. Let u(j) = -3*j**3 + 5*j + 5. Calculate l*u(h) + 5*a(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x + 125*x + 384360 = 0. What are the prime factors of x?\nAnswer: 2, 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 greater than 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2772\/(-54))\/(-14) - 527\/102.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.4361105721 + 60?\nAnswer: 926.4361105721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345043747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 21. Let i(c) = -6*c**2 + 2*c + 2. Let q be i(-1). Sort h, q, 2 in descending order.\nAnswer: 2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66998237 to the power of 1\/2, to the nearest integer?\nAnswer: 8185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8137 and 8611?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20564456*v + 2*v**2 + 21*v**2 + 20564456*v.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150.01 - -150.41. Let r = -0.06 - -0.07. Let p = r + -2.01. What is the second smallest value in p, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17115182 divided by -1?\nAnswer: 17115182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60ba + -4?\nAnswer: 60b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 158293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 265 = -4*k - 5*m, -2*m - 50 = -k. What is the remainder when 152 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0083399798 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217510000 rounded to the nearest 1000000?\nAnswer: 218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millimeter in micrometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 127 + 386 - 125 - 123. Calculate d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 + 24*b**2 + 5*b + 5. Let c be r(4). Solve -16*d - c = -11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**3 - 5*y**2 + 13*y + 30. What are the prime factors of j(-7)?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (-5 + (5*sqrt(68))**2)) + sqrt(68) + -4.\nAnswer: -1699 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*t**2 + 188*t**2 + 170*t**2 + 175*t**2 - 748*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = -k + 63, k = 5*t + 52. Calculate the highest common factor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f**(-7)\/f*f*(f*f\/(((f*f*f**(1\/3))\/f)\/f))\/f*f**(-4\/7)*f assuming f is positive.\nAnswer: f**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 + (6 - 0). What is the third derivative of -9*u**2 - u**6 - 2*u**6 + o*u**2 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1099 + -1128. What is the nearest to -2 in 3\/5, 0.1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -6. Suppose 13 = -2*k - 5*q, q - s + 1 = -4*k. Let l = -2.01 + 0.01. Which is the third biggest value? (a) k (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 970 + 233 + 239 + 228 + 270.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**3 - 2. Let t(a) = -a**3 + 1. Suppose -30 = -6*v + 3*v. Let i be 3\/(-12) - v\/(-8). Let o = 6226 - 6224. Calculate i*x(u) + o*t(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 15*s + 16. Let q be m(14). Let o(d) be the first derivative of 0*d + 0*d**q + 2 - 2\/3*d**3. Solve o(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17*o**2 - 61*o + 10. Let r(g) = -5*g**2 + 21*g - 3. What is 2*c(q) + 7*r(q)?\nAnswer: -q**2 + 25*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.3080818 to two decimal places.\nAnswer: 35.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(11\/(-33)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*t - 351*t + 1061*t - 355*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010212 + 2110121?\nAnswer: -200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 144. Let j(l) = 2*l + 20. Let i be j(-4). Is 5 a factor of x*(1 - i\/(-3))*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 6) in base 7?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1633, 1634, 1635?\n\"Answer: k + 1632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-seven halves of a kilogram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21867 and 2955.\nAnswer: 109335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, r: 3, q: 2, k: 6}. Give prob of picking 2 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4179 + -0.086755.\nAnswer: 0.331145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -43, -143, -151 in decreasing order.\nAnswer: 10, -43, -143, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21*-3)\/(78\/(-1092))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 475050.207 to the nearest one hundred.\nAnswer: 475100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254358 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -702 - -2809\/4. Let q = 0.9 + -3.9. Let t = 2.3 - 2. Which is the smallest value? (a) q (b) t (c) -5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-one fifths of a tonne?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 32 + -45?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3074 (base 9) to base 12\nAnswer: 137a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zipigzggggig. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*c + 137 - 147 - 12*c)*(-4 - 3 + 6)*(-2*c - 4 + 5 + 1) in the form w + x*c**2 + p*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-112)\/24)\/((-4)\/102). Let p = x + -116. Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 l when four letters picked without replacement from lllllljljlll.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184223816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 + 2*a**2 - 6*a + 3. Let q(p) = 11*p**3 - 5*p**2 + 12*p - 7. Let o(x) = -5*h(x) - 2*q(x). What is the second derivative of o(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1396377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**3 + 20*m**2 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h + 464981 + 26*h - 465027 + 22*h.\nAnswer: -h - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by 33?\nAnswer: 139\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*t**2 + 37615862*t + 4425396.\nAnswer: -2*(t - 1106349)*(17*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3159 = 3*f + 3172, 2*f - 38 = 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 4*p**3 - 10*p**3)*(-1 - 3 + 7)*(0 - 1 - 1).\nAnswer: 36*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 314.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (262*c + 6 - 6 + 0)*(-4 + 2 + 1) in the form j + z*c and give z.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415109199, 830218397, 1245327595?\nAnswer: 1660436793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 166820*b - 333656.\nAnswer: 4*(b - 41707)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 2 + 14 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920047863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -4. Let g = -10 + u. List the prime factors of (-3 - -21)*g\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*a - 87*a - 108*a)*(3 - 2 + 1).\nAnswer: -680*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 30 = 0. Suppose 3*d = 6*j - 11*j + 5, -3*d - 2 = -2*j. Solve 2*l + r = -d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4363916 to the power of 1\/2, to the nearest integer?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-22)\/11880*27.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -968*o**6\/5 - o**3\/2 - 487*o**2\/2 + 1312*o. What is the second derivative of w(m) wrt m?\nAnswer: -69696*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 12. Let m = 143\/2 - 70. Let v = 74 - 74.4. Which is the second biggest value? (a) m (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7 - y**2 - 6*y**4 - y**4 - 63*y + y**4 + 9*y**4 as g*y**2 + z + b*y**3 + l*y**4 + k*y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/52 and -59\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 30 = -5*k, -4*o = 5*k - 0*o + 25. Let a be (-2 - (-2 + 3))\/(-1). Suppose 0 = -a*f - 4*c, -4 = 5*f - c + 19. Put k, 0, f in decreasing order.\nAnswer: 0, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 357 + -4?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6194 and -0.3?\nAnswer: 6194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665 and 1463?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -296 in -0.2, 5, -5, 114?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 575?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 148*u**2\/7 - 48*u.\nAnswer: 4*u*(u + 7)*(7*u - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*w - 41 - 409, 3*y + 282 = -w. Let u = y - -207. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -23. Let g be ((-72)\/n)\/((-3)\/14). Calculate the greatest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*z = -149*z + 231. Let l(b) = -b**2 + 22*b - 22. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:36 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -36*v - 42. Let t = 0.03 - 5.03. Which is the nearest to 0? (a) v (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71078700 and 12012?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/24 + (-3)\/28)\/(-1). Which is the biggest value? (a) 6 (b) n (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/312672 and -95\/8088.\nAnswer: 105370464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*c - 142*c + 88251. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/8 + 19*d**2 + 7. Let m(s) be the second derivative of x(s). Let r(t) = 8*t**2. Give m(r(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112259 to 4 decimal places.\nAnswer: -0.1123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -2. Let x be ((-6)\/(-4))\/((-4)\/u). Suppose 20 = -x*d + 251. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(4*v**2 - 6*v**2 + 4*v**2) + (-v - 3*v + 5*v)*(-1833*v**2 - 587*v**2 - 286*v**2).\nAnswer: -2702*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*1024692.\nAnswer: 8197536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*c = 68365 + 36322 + 3053 - 5029 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 5.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*i + 38, -3*i + 47 = -4*i - 5*p. Let c = -10 - i. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, -3, 33, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -1 - (-13 - -24)) + 11 + -62.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787 = 17*n - 1889 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392 divided by -1598?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(20)\/sqrt(90) + 5 + 3 + -3*(sqrt(4)\/sqrt(2) + 5)).\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3\/6905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.48 + -146.52. Let n = b - -105. Let x = n - -43.1. What is the smallest value in 0, -0.3, x, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-29)\/((-4640)\/40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 22.5. Let t = z + -3.53. Round t to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 453*x + 498. Calculate s(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1089.43 * 3\nAnswer: -3268.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17808016 - (13 - 261\/9). What is z rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1040483, -2080968, -3121453?\nAnswer: -4161938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -1881652728.\nAnswer: -1881652727.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 48.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, -3, -210, -659, -1422, -2571, -4178?\nAnswer: -6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 46. Suppose -4*z - 24 + i = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:03 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = 0. Suppose f = -0*s + 4*s - p - 5, -2*s - 8 = -4*p. Suppose -3*k = s*k - 3*i - 391, 75 = k + i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27008, -108093, -243244, -432467, -675768, -973153, -1324628?\nAnswer: -1730199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 9. Let s(q) = 3*q + 12*q - 25*q + 11*q. Let p(m) = l(m) - 4*s(m). Let t(b) = -3*b + 4. Determine -2*p(u) + 5*t(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/30 + 1546\/10. Suppose -3*f - d = -2*r, -194 - 76 = -4*r - 2*f. Let u be r\/126*(-4)\/10. Which is the nearest to -1\/4? (a) u (b) 2\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3372 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/4)*t)**(12\/13))**(2\/35) assuming t is positive.\nAnswer: t**(6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (0 - -6) + (-624 - -603).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*v - 118 - 107, -v - 121 = 3*l. Is (-73234)\/l*(0 - -9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 48*l + 821. Let z be k(-17). Solve -29*s = -z - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.048 - 1830.148. What is z rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssqsssqsqqsqs?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-27) + 166\/6. Let q = t - 18. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/620551?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -f, 2*v - 5*v + 7*f = 11*f + 43 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104920.5 - 104921. Let g = -5.9 + 0.9. Which is the third smallest value? (a) -1 (b) w (c) g (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202064 divided by -25258\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 10 = -4*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -65, -4, 3, 16 in ascending order.\nAnswer: -65, -4, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {d: 7, b: 3, s: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6145 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57475 divided by 5225.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from {p: 7, g: 4, d: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose 8 + 5 = b - 2*r, 2*b - 17 = r. Suppose 0 = k - v - 7, 0 = -b*k + 6*k + 4*v + 22. Solve -k*y + 4 + 6 = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.081 + -0.919. What is the second biggest value in -1.2, 4, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 4*z)*(212 + 163 - 82) + (-5 - 2 + 4)*(2*z + 2*z - 3*z).\nAnswer: 583*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8670 to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.854915 litres?\nAnswer: 854.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 s when four letters picked without replacement from asssaasssasaasaaaas.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -276, -287, -302, -321, -344, -371?\n\"Answer: -2*j**2 - 5*j - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let b(y) = 558*y**2 + 16*y - 17. Let o(a) = -372*a**2 - 10*a + 11. Let s = 66 - 61. Let z(q) = s*b(q) + 8*o(q). What is h(z(c))?\nAnswer: -372*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1265)\/44)\/((-165)\/132).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645773405 divided by 1.\nAnswer: 645773405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-5)*d*d))\/(d**(1\/2)\/d))\/(d\/d**(-3))**(44\/3) assuming d is positive.\nAnswer: d**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 + 2 + (-46575)\/(-270). Calculate the highest common divisor of b and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(-2*f + 5*f + 0*f) + (-4 - f + 4)*(-2 + 3 + 1) to g + h*f and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c**4\/9 + 2532*c**3 - 1203980*c**2\/3 + 111025900*c\/9 + 3444404000\/3 = 0. Calculate c.\nAnswer: -408\/11, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w**2 + 17*w**2 - 2*w**3 - 2 - 3*w + 5*w**3 to the form h*w**2 + y + q*w + a*w**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:24 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) 6 (c) 2\/7 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4223423424 (base 5) in base 15?\nAnswer: -b90a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 17 = 9*l. Solve l*i = 6*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1722\/275 - (-9 + 35)\/13. Let f = t + -102\/25. Let n be 2\/5*5\/3. Sort f, n, -0.2 in decreasing order.\nAnswer: n, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*l = -9, 4*l = -4*p + 8*p + 56. What is the nearest to p in -2, 2, 0.2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -10470?\nAnswer: -10467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -50. Suppose -3*d - 29 = -32, 3*j - w = -d. Determine s so that 0 - 3\/5*s**j + 6\/5*s**2 - 3\/5*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 3*y - 4. Let w be 2\/(2 + -4)*(-2 - -4). Suppose 4*n - 43 - 41 = 0. What is the remainder when n is divided by l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*m - 2952, 3*x - m = 4085 + 365. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 80 = 0. Let p = x - -69. Let l = p + -34. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 62. Suppose i - 1 = 4*o - 3*l, -l = 0. Suppose -121 + 7 = -19*v. Calculate the highest common factor of o and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.2 - -10. What is the second biggest value in c, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 5*t + 0*t)*(-t**3 + 6*t**3 + 12*t**3) to m + z*t + a*t**3 + d*t**2 + o*t**4 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163\/1050 - 2\/175. Let h(y) = -108*y + 9. Let z be h(-4). What is the common denominator of z\/(-54) - (-2 + 0) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*d**3*s - 6081299*d**3 + 6995*d*s - s wrt s?\nAnswer: 56*d**3 + 6995*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8) + (-9)\/6. Suppose -2*i = -r*i - 194. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7776743 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 4*p**2 - 3*p - 5. Suppose 15 = 4*b - 9*b. What are the prime factors of w(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = 5*q - 10, 4*x = 5*q - 10. Calculate the remainder when 2 + 25 + -2 + x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 2*d + 0*d)*(-4 + 5 + 1) + (1 - 1 - 1)*(-1 + 7*d + 1) to the form q*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, 0, -179 in decreasing order.\nAnswer: 0, -179, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:54 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**3*z**3 - 3145*c**3*z - 4*c**2*z**3 + 6*c**2*z + 46*c**2 wrt c?\nAnswer: -54*z**3 - 18870*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17529*a**4 + a**3*n**2 + 26110*a*n**2 + 2*a wrt a.\nAnswer: 210348*a**2 + 6*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*d - 8*d - 97020. Calculate the greatest common divisor of 3069 and d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/31 - 15\/248. Let s(i) = -i**2 + 4*i - 1. Let z be s(3). Suppose 0*c = z*c. Sort -4, c, v in descending order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-256)\/(-12) - 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.761729 rounded to three decimal places?\nAnswer: -23.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11787 or -1?\nAnswer: 2\/11787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7)\/(a**(-2\/7)*a)*(a\/(a*a\/(a\/a**(-10))*a))\/(a*a**14))**26)**7 assuming a is positive.\nAnswer: a**(-1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g - 8 = -4*v, 0 = -g + 4. Let d(j) = j**2 + 64*j + 1024. Let b be d(-34). Solve b*f + 13 + 23 = -v*h, 5 = -f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 41809 (c) -1\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3 + (-1 - -2)). Let t(v) = 3*v**2 - 2*v**2 + 0*v**2 - 16 + 8*v + 11. Let y be t(-9). What is the greatest common factor of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 25854773, -4?\nAnswer: 25854773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 1112 - 1092 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000400753 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 20*g. Let s(o) = 7*o**2. Let k(x) = -8*x**2. Suppose a + 5*t - 21 = 0, 5*a - 6*t + t = 15. Let n(r) = a*s(r) + 5*k(r). Give n(c(d)).\nAnswer: 800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 39*x**3 - 110*x**2 + 72*x.\nAnswer: -x*(x - 36)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*r - 29, r + 4*r - 4*u = -55. Let b = r + 12. Let y = -1.9 - 0.1. What is the closest to -0.1 in b, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6715915?\nAnswer: 5, 1343183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*m = 484, -7*m = a - 3*m - 133. Let y = -14 + 32. Suppose 21 = 3*x - y. What is the highest common divisor of a and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 744 - 323. Let r = -424.73 + x. Let u = 3.72999166 + r. Round u to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004145 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1637528 divided by 818764?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 1478391?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 178.0364435 and 44.\nAnswer: 222.0364435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -255\/4. Let a = 1041 - 3089\/3. Let o = a + -12. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*k + 7. Suppose 5*l - k = 7. Solve -2 - l = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509360 divided by 8.\nAnswer: -63670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153122 and -1.2.\nAnswer: -183746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362.4449kg to tonnes.\nAnswer: 0.3624449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuruuru. Give prob of picking 4 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30835 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, 0, 3, 17, -3, -2, -1.\nAnswer: -3, -2, -1, 0, 3, 17, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15163 and 0.1.\nAnswer: -1516.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/26 or 0?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45.2342 or -45?\nAnswer: -45.2342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*c = 98*c - 180 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 + 7*d**2 - 6*d. Let w(r) = -2*r**3 + 2*r**2 - 2*r. What is -2*f(p) + 7*w(p)?\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-6) - 0)*2. Let w = s + -3. Let b be (-6)\/2*(-3 + w). Let x(k) = 2*k**2 - 4*k + 2. Determine x(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-3) + (-8)\/2 - (-3081)\/(-1422)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/5 + -3. Let j = 16 + -13. Let t be j*(-2 - 13\/(-6)). Put -2\/3, t, v in ascending order.\nAnswer: -2\/3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(147) + (sqrt(147) - (sqrt(147) + 0 + 4 + sqrt(147))))**2 + -2 + -3*(sqrt(147) + -1) + 5 + 1.\nAnswer: -21*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2\/5 - 18*j\/5 = 0. Calculate j.\nAnswer: 0, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(99\/(-55))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 634200, 634202, 634204?\n\"Answer: 2*y + 634198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Let o be 48\/(-6)*(1 - (-5)\/(-6)). What is the smallest value in n, -1\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6136237 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 1590, 25, -4 in increasing order.\nAnswer: -7, -4, -3, 25, 1590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:12 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = 56. Let b(u) = -u**2 + 8*u. What is the remainder when t is divided by b(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*g + 21, -2*t + 4*g = -5*t + 33. Solve -5*j + 2*z = z + 3, -2*j + t*z + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 4*c)*(1184 - 2341 + 2413*c + 1160).\nAnswer: 2413*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23083, 46166, 69249?\n\"Answer: 23083*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*z**3\/7 + 3922568*z**2\/7 - 64110843648*z\/7 + 8548042752\/7.\nAnswer: -4*(z - 32688)**2*(15*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3\/11*g**2 - 1\/22*g**4 + 4\/11*g + 24 + 0*g**3. Suppose r(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1103764620?\nAnswer: 1103764616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16240 and 183680?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -7 - (-151 + 171)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 372*r**3 - 20 + 373*r**3 - 976*r**2 - 14 to the form h*r**2 + o*r**3 + x + l*r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:57 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*f - 256 = 0. What is the remainder when 166 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7846867 at least 7846867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.36. Let k = 0.04 + b. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8*(-2)\/(-6). Let m = -6.3733 - -2.3733. Sort 0.11, m, -0.3, h in increasing order.\nAnswer: m, -0.3, 0.11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12926*p**2 - 25833*p**2 + 12904*p**2. Let y(f) = 1682*f. Calculate y(q(d)).\nAnswer: -5046*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyyxzxyzyczyzxyxz. Give prob of sequence yc.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.1, -2, 26, 0.2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 3859946?\nAnswer: 42459406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 4*j + 7. Let r be f(-7). Let b = r + 8. Let c be (-6 - 0)*(-3)\/b. Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 27*l**2 + 27*l - 22. Let z be b(26). Suppose y = -2*h + 7, -18 = 3*h - 6*h - z*y. Calculate the greatest common divisor of 34 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -4\/7, 410?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 84386 divided by -5\nAnswer: -84386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.63 - -1.44. Let d = t - 2.5. Let z = 1.6967 + d. What is z rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.41 - -1.7. Let o = 0.34 - h. Which is the nearest to 0? (a) 2 (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32773278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 664?\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7881985, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 23 = -21. Suppose 6 = -3*t + u*y + 26, t = -4*y + 28. Calculate the greatest common divisor of 27 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 1. Let o = -799 + 798. What is the second biggest value in x, 3, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-7 - 6 - 11)*((-4 + 4 - 2*l)*(-2 - 1 + 1) - 4*l + 3*l + 0*l + 20 - 27*l - 20 + l - 2*l - l).\nAnswer: 1248*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*g + g + 14, 5*f + 4*g = 13. What are the prime factors of (f - 2)*(-7)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, e: 2, y: 1, r: 1}. Give prob of picking 1 r and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395503297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -6, -3*x - 3*q + 2430 = 0. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27590 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102 take away -2?\nAnswer: 1.9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3022810 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.41 - 4.5048. What is o rounded to 3 dps?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -43. Let f = 145 + o. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 10*f**2 + 3*f + 24. Let x = 1013 + -1009. Let k be d(x). Factor 0 + 6\/5*n**2 + 6\/5*n - 6\/5*n**k - 6\/5*n**3.\nAnswer: -6*n*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/6, -2\/13, -0.5, -4\/75?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021466 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003 * -0.01.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2303 - 1130. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27997062.21 to the nearest 10000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let i(m) = m**3 - 4*m**2 + 3*m - 3. Suppose 7 + 1 = 2*f. Let l be i(f). Let v(t) = -4*t - 11*t + l*t. Calculate v(w(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-16)*(-34)\/3. Let r(w) = 2*w - q*w + 11*w - 2. Let h be r(-2). What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffpffff. What is prob of picking 3 f?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 105300 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 + 16*m**2 + 11*m + 103. Give t(-8).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 7*k - 40. Let s(p) = 2*p**2 + 2*p + 14. Let o(c) = 8*s(c) + 3*z(c). Let h = -780 + 789. Give o(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23177\/13 + -1782. Let u(p) be the first derivative of 7\/13*p**4 - 6\/13*p + 4 - 4\/39*p**3 - a*p**2 + 2\/13*p**5 - 1\/13*p**6. Let u(z) = 0. Calculate z.\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10935888 a multiple of 2192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 534 + 518 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 2, p: 2}. Give prob of sequence gtg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3)*7*7\/49. Suppose -5 + 3 = -2*z, 0 = -4*v - k*z + 8670. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 3*w + 3. What is g(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 1.8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.45, 1\/9, 2\/5, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 60*n**2 + 4277*n - 9003. Let i(a) = 50*a**2 + 3564*a - 7504. Let u(w) = -19*i(w) + 16*j(w). Factor u(c).\nAnswer: 2*(c - 2)*(5*c + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 402 + 159 = 0. What is the remainder when 156 is divided by y?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1998*n**4 + n**3 + 2*n**2 + 5099*n + 2.\nAnswer: 23976*n**2 + 6*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + 0.4. Let d = 466.7 - 467. Put d, s, -2 in decreasing order.\nAnswer: d, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36470, 36466, 36462, 36458, 36454?\n\"Answer: -4*i + 36474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -549\/455972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -4045345.\nAnswer: -4045350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygiyyywiss. Give prob of picking 3 y and 1 i.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 2031?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603 - 12*h + 603.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -10, 5, 52, -40, 39?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-140)*5\/(-24)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) 1 (b) -2 (c) 7351 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 49*z**2 + 4*z + 152. Let x(g) = -12*g**2 - g - 34. Give -2*i(p) - 9*x(p).\nAnswer: 10*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q - 11. Let i(l) = 3*l + 3. Let u(f) = 7*i(f) + 2*y(f). Let r(a) = -6*a. What is r(u(x))?\nAnswer: -18*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 5\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 1 g when three letters picked without replacement from gbqqggggfgfq?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9035.116 weeks?\nAnswer: 91073969.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 24*w**2 + 36*w + 13. Let g be n(-17). Let y = 9373 - g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:28 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 2. Let y be (-8)\/(168\/(-35)) - (-2)\/6. Let c be y*1 + (-2 - (4 - 6)). What is t(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 172*r**4 - 5846*r**3 + 54972*r**2 - 87424*r - 1024 = 0.\nAnswer: -1\/86, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m. Suppose -5*o + 5 = -5. Let u = o + 0. Let d(f) = 2*f - f - u*f. What is t(d(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*x - 8 = -x, 3*x = -2*f - 6. Suppose -2*n = v + 67, f = 2*n + n - 2*v + 118. Calculate the common denominator of n and -79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*a**3 - 298*a**3 + 593*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**8\/504 - w**7\/15 - 109*w**6\/180 - 53*w**5\/30 - 35*w**4\/18 - 845*w**2. Determine n, given that m(n) = 0.\nAnswer: -14, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/759 - 44087\/3795. Let d = 443491\/30 + -14787. What is the common denominator of d and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:51 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)*c\/c**(-17)*(c*c\/c**3)**2 assuming c is positive.\nAnswer: c**(370\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 40*y**2 - 1045*y + 56. Determine l(58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 11*z - 5. Let d be j(10). Let y = -2 + d. Suppose 11 = 2*v + 3*x, -v + y*x - 2 = -3. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1387176 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 22*w + 24. Calculate the remainder when t(20) is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + o, -4*p = 2*o + 3*o - 27. Suppose 2*r + 3*g = 7, -p = -2*r + r - g. Suppose -4*j - r*j = -42. Calculate the highest common factor of 21 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Let l = -7.1 + 7.3. Which is the closest to l? (a) r (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -46?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 2:28 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9373085 smaller than -9373085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -45. Let d(q) be the second derivative of -5*q + 1\/20*q**6 + 1\/10*q**5 - 1\/4*q**2 - 1\/12*q**4 - 1\/3*q**f + 0. Let d(c) = 0. What is c?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**6\/40 + 7*p**4\/24 + p**2\/2 + p. Let n(t) be the first derivative of d(t). Find the second derivative of n(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000108598 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223.2 + 30.8. Let h = o + 192. Which is the smallest value? (a) 2 (b) 1\/5 (c) -2\/11 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 12 = 10*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18383 is divided by 227?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-2) + (0 - -1). Let f be h\/(-24)*6 + 2. Let x = -0.5 - -1. Which is the second smallest value? (a) f (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*75\/(-27) - -3. Suppose 0*v + 3*v = 0. Factor 2\/3*d**3 - u*d**5 - 2\/9*d**4 + 4\/9*d + v + 10\/9*d**2.\nAnswer: -2*d*(d - 2)*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(3*z**4 - z**4 - 5*z**4) - z**3 + z**4 + z**3 + 0 + z**4 + 0 as k*z + r*z**3 + y*z**4 + o + f*z**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 2788728.\nAnswer: 2788728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.35\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 390528.\nAnswer: 390528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n - 2*n + (-4*n - 3*n + 5*n)*(-2 + 0 + 3) - 2 + 2 + 2*n)*(-7*n + 3*n + 2*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 + 4*x - 2. Let b be 2*(-2)\/8*10. Let l be c(b). Suppose -z - 20 = l*z. What is the second biggest value in z, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) + 0\/5. Let d = t - -1. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17 - 2\/(-3904)*-33164 and 13\/64.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) 0.76 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3 + 212511*n**2 + 42202425*n wrt n.\nAnswer: -12*n + 425022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 1935361375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.2, 5, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*i = 3, 3*h - i + 0*i = -4. Which is greater: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -34339, 1, 3, -1, 5 in descending order.\nAnswer: 12, 5, 3, 1, -1, -4, -34339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 21321?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 287.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 19*x - 3. Calculate the least common multiple of 15 and d(-8).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -24, -94, -234, -468?\n\"Answer: -4*b**3 + b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31561 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(1663\/3326)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5205 by 5.\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31*-164\nAnswer: 5084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -4*b**5\/15 - 15*b**2\/2 + 39. Let t(z) be the second derivative of k(z). Let s(o) = -2*o**2. Give t(s(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2593*x - 3245*x - 564*x.\nAnswer: -6402*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 0. Suppose f = -0*z - 8*z - 32. Let h(t) = -2*t**2 + 4*t + 4. Let w(d) = -d**2 + d + 1. What is z*w(k) + h(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(209) - sqrt(209)*-2)*-1 + (4*(sqrt(209) + sqrt(209)*-1) - sqrt(209)))\/((sqrt(66)\/sqrt(8))\/(sqrt(9)\/sqrt(3)*4 - sqrt(3))))**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (226 - 9*i - 226)*(-9*i + 77*i + 14*i) - 5*i**2 + 5*i**2 + 2*i**2 to the form y + v*i**2 + g*i and give v.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-18 - (-52 + 9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 2336 = -5692. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 34*k**3 - 12*k**2 + 6*k. Let m(h) = 34*h**3 - 14*h**2 + 6*h. Let i(p) = 4*m(p) - 5*w(p). Find the third derivative of i(t) wrt t.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 + 17959444*o**2\/7 + 17959442*o\/7 = 0. What is o?\nAnswer: -8979721, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2396.\nAnswer: 3\/2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10258.9 - -10259. Which is the closest to -2? (a) 44 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 + 1. Suppose a*l - 60 = -l. Suppose 2*q - 3*b = -8*b + 45, 2*b = -5*q + 144. Calculate the highest common factor of q and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528367757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 10 = 15*v. What is the third derivative of -8*d**v - 8*d**2 + 7*d**6 + 10*d**5 - 2*d**5 wrt d?\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*m = 6, -4*m = 5*g - 3 + 2. Suppose -h + 2 = 1. Let c(x) = -x + 3*x - 4*x**2 + h - 3*x. Calculate c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 120541, 1, 3 in increasing order.\nAnswer: -9, 1, 3, 120541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 92608559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 12*(-4)\/(-8). Suppose -4*k = -5*l - 46, 4*l + 2*k + 3*k + 45 = f. Let m(t) = -t**3 - 10*t**2 - 6. Give m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19409.69 - -19536. Let y = -125 + q. Let z = y - 0.81. Sort 5, 4, z, -1 in increasing order.\nAnswer: -1, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 290*l + 3 + 0 + 4 as q + p*l and give p.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + -1 - 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 26166027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -3*c. Put -2\/11, -8\/3, c in decreasing order.\nAnswer: -2\/11, c, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*p + 4*o - 20 = -488*p, -5*p + 39*o = 297 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128349658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9.85, 5, -1\/4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 0.27. What is the closest to h in 0.05, 3, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/10 and 133\/648?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109499\/36 + -12189\/4. Calculate the common denominator of 43\/70 and u.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-495))\/((-10)\/22)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11340141 and 15717.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2)*k)**1*k**(-5)\/(k*k**13\/k) assuming k is positive.\nAnswer: k**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -11e8e7?\nAnswer: 11e8e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -327459 divided by -2\nAnswer: 327459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 3. Solve 0 = -p*v + 4 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241 - -14.9.\nAnswer: -226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/(-45) + (110\/99)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660039 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14))\/(4*105\/(-280)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21070870.2ms to days.\nAnswer: 0.2438758125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 661 - 649. Suppose -h*t + t = -3256. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20225 is divided by 1439.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 213?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22692*g + 528 = 22681*g for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 - 25501280*u**2 + 25501284*u = 0.\nAnswer: -6375321, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -88. Let d(k) = k**3 - 4*k**2 - 7*k + 1. Determine d(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -t + 6*t - 5*v, 0 = t - 3*v - 10. Solve 0*b + t = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3101, 3015, 2929, 2843, 2757, 2671?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -44.9. Put f, 1, 0.05 in descending order.\nAnswer: 1, 0.05, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 1\/2*h**2 - 1\/3*h**3 - 2 + 2*h. What are the prime factors of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2770*y**2 - 5973*y.\nAnswer: 5540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, e: 3}. Give prob of sequence ddee.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.9 + 13. Which is the nearest to g? (a) -2\/3 (b) -1\/2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 204?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3660 + 3663. Sort 6, 0, v, -35 in descending order.\nAnswer: 6, v, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163210, -164202, -165178, -166132, -167058?\nAnswer: -167950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/2, 2, -2, 0.3, -3913?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 38. Determine i, given that -39*i**3 - 4*i**2 + x*i - 4*i**4 - 29*i**2 - 7*i**4 - i**4 - 60*i = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -229, -226, -223, -220?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 2. Let v be t(-7). Let g(n) = n**3 + 10*n**2 + 3. Suppose 0 = -5*z - 0*z - 50. Let f be g(z). Solve f*d = 2*m - m, 5*d + 10 = v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8 - 16 - 2*d - 5*d. Let s(z) = -3*z - 12. Let q(f) = 4*m(f) - 9*s(f). Calculate the remainder when 11 is divided by q(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2\/1) + 14. Suppose 4*o = 5*o - l. Calculate the remainder when 0\/1 + 0 - -22 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/9 + 4)\/(2\/(-12)). Let w be m\/40 - (-16)\/(-10). Let q(j) = 3*j - 3. Let h be q(w). Is h greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 52 = 40. Suppose 0 = -4*j + 3*q + 124, 3*j - 8*j + q = -166. Sort -2, j, h in decreasing order.\nAnswer: j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 20617*m**3 + m. Let j be o(1). Let h = -24388 - -35706. Let w = h - j. Round w to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323832 and 404790.\nAnswer: 1619160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 186.63 in -1, 0.06, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43195 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/42)\/(3\/(-4)). Find f, given that 2*f + 0*f - 6*f**4 - 2*f**5 - 4*f**o + 10*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4 + 32*b + 2 - 33*b. Let a = -38 - -38. Let q be (-5 - -4)*a\/2. What is m(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 + 0.28. Let n = g - -0.29. What is the second biggest value in 5, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 471363, -1\/5, -0.3, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15372 (base 9) in base 16?\nAnswer: -2912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 46 + 59 + (-11 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:44 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, -29, -0.3, 1903, 51?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 593*d**4 - d**3 - 2*d**2 - 98*d - 5 wrt d?\nAnswer: 7116*d**2 - 6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*b = v + 4, b = 3*v + 12. Let x(c) = c**2 + 13 + 8*c + 2*c**2 + c. What is the units digit of x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 13*v - 5*w + 12 = 0, 0 = 5*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 - 8) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -58.88. Let a = -0.12 - s. Put -3\/7, a, -7 in descending order.\nAnswer: a, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - i**4\/12 - i**3\/6 + 21*i**2\/2 + 3*i. Is g(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11382, 45561, 102604, 182577, 285546, 411577, 560736?\nAnswer: 733089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 330\/11*(-2)\/3 - -2. Let u be ((300\/45)\/10)\/((-4)\/r). Solve u*d + k - 7 = -0, 0 = -3*d + 4*k + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (130\/25 - 5) + 48\/(-15). What is the tens digit of (-2 - -284) + (6 - (t - -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 414513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 25454?\nAnswer: -25450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.745+-10722203.25483\nAnswer: -10722203.99983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-8 - (11 - 8) - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142324*p + 427234*p - 142611*p - 142318*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:45 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-90)\/(-32)*680\/(-102) and -77\/166.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-272)\/(2 - 3))\/1. Suppose 4655 = 4*f + 3*f. Let z = f + b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183.269 and 17.\nAnswer: -3115.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6337572 - -369\nAnswer: 6337941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from ddbbdgdgddgddbdgdbbi.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 889798860 a multiple of 829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*x**5 + 191*x**2?\nAnswer: 6120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3775052 and -5?\nAnswer: 3775047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -113928 (b) -14 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 873\nAnswer: -4\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9355169 + 27141188\nAnswer: 36496357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**2 - 1\/120*o**6 + 0*o - 3\/8*o**4 + 0 + 4\/3*o**3 + 3\/20*o**5. Let s be f(8). Solve s = 4*n - 21 + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888077579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -3620, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdl when three letters picked without replacement from {f: 6, d: 1, g: 1, l: 2, j: 10}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 14, m: 5}. What is prob of sequence mn?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*d - 334*d = -689*d + 91264 for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/14 + 2\/(-7). Let h(o) = -o**2 + 5*o. Let u be h(5). Let p(w) = w**3 - 14*w**2 + 12*w + 15. Let x be p(13). Solve x*b = -u*b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9509, -19018, -28527, -38036, -47545?\n\"Answer: -9509*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 515*i + 291 - 567 - 774 + 5*i**2.\nAnswer: 5*(i - 2)*(i + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.045314253 and -4.\nAnswer: -5.045314253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100011010001 - 10000?\nAnswer: 111100011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4039, 31, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/660 - t**5\/66 - 2*t**4\/33 - 4*t**3\/33 - 20*t**2. Let i(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/8 - (-361)\/(-114). Which is the biggest value? (a) -0.4 (b) 0.1 (c) -1\/8 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*260823356\nAnswer: -78247006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 69*m - 6. Give x(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*h + 5, 2*p - 1 = h + 2. Suppose -2*u = -0 + p. Which is bigger: -1\/5 or u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 2*m. Let g(u) = -949*u**3 + 8*u + 1221. Let d(t) = -g(t) - 4*k(t). What is the first derivative of d(j) wrt j?\nAnswer: 2883*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 - 5*p**2 + p**2 - 3*p**2 + p**2 + p - p**2 - p + (-2*p + 4*p + 0*p)*(-p + 0*p + 0*p) + 0 + 0 - 2*p**2)*(-2*p + 2*p + p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(128)\/sqrt(4) + -4.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35259505 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-45) + (-4)\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*n - 8 = 0, 4*g - 650*n = -645*n - 18 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70778 = 43*p + 291*p + 489*p for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171727009, 343454017, 515181025, 686908033, 858635041, 1030362049?\nAnswer: 1202089057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1625 - 433. What are the prime factors of d?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 674*p**2 - 5810?\nAnswer: 1348*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) + (15 - 17). Find the second derivative of 29*u - 17*u + u**4 + k*u**4 wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.036 or -36021?\nAnswer: -36021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3537269 is divided by 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 7:32 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let i = 1417\/5 - 2399\/10. Calculate the common denominator of i and (-39)\/(-2) - 0 - f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31211*z**3 + 12737*z**3 + 18286*z**3.\nAnswer: 62234*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20\/47 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqerbre. Give prob of sequence bq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -137*p - 1777. Let l be q(-16). What is the highest common factor of l and 996?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -9.59.\nAnswer: -143.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*2\/(-4) + 2\/4. Is 11\/(r\/2392) - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 123.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322\/18541 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275730)\/(-17675))\/(-2*1*10\/(-150))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4666 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*892\/(-4)*3\/(-6). Suppose t*i = 230*i - 21. Solve 4*n + 8*f - 7*f = 9, 2*n + 3*f = -i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49157 divided by 33.\nAnswer: -49157\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 36 = -70*y + 73*y, -5*w = 2*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059909?\nAnswer: 3, 23, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 224\/12 - 2\/3. Let h = z - 11. What is the highest common divisor of 36 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:26 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000517168 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -693 - -2958. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5598, 5230, 4864, 4500, 4138?\n\"Answer: a**2 - 371*a + 5968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**2 + 1. Let f(q) = -5*q - 15. Let l be f(-7). Let z = -19 + l. Determine a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 3*b**2 - 2*b + 3. Let d be r(4). Suppose 3*g - 1 = -v, -4*g + 8 = -2*v + 4*v. Let h = v + 12. What is the highest common factor of d and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(-1\/19)*q\/q**(2\/3)*q**(4\/5)*q assuming q is positive.\nAnswer: q**(653\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -4*k - 1\/5*k**5 + 0*k**2 - 1\/15*k**6 + 1\/6*k**4 + 0 + 2\/3*k**3. Determine v so that o(v) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6*i - 12. Let h = -6 + 12. Let y = h - i. Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-12)*84\/154.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136389809 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7641 - -8122. Calculate the highest common divisor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 132 - -2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 17.9999971. What is b rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 136*w + 17101. Give c(-126).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -71158152?\nAnswer: 71158146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1232*m + 138. Let a be r(-6). Suppose 2*x = 2*d + 3006, 0*x + 2*d + a = 5*x. Calculate the greatest common divisor of x and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -2 - (-12 + (2760\/51)\/8).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 10*m**3\/3 + 11*m**2\/2 - m - 5. Is 26 a factor of h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -501667*s + 2. Let y = 29 + -44. Let u be 5\/(y\/(-2))*9. Let z be i(u). What is z rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668737.\nAnswer: 668737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(448) - ((-1*sqrt(448)*2 - sqrt(448) - sqrt(448)) + sqrt(448))))\/(-6*sqrt(64)*2 - sqrt(64)*-2*-6).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/9 in 10, 4885\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46376486729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26342 - 4636. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*p - 1248 = -659*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 218\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m - 3*m. Suppose -o - 76 = -m*o. Calculate the highest common factor of 95 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617*x - 185220 = -638*x. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 115922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 14*l + 2. What is the units digit of k(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-8))\/(1\/6). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-90)*(-60)\/4. Let f(b) = 45*b + 30*b + 31*b - t*b**3 - 105*b. Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 617543*b**2\/3 - 95340147983*b\/3 - 95339530441\/3.\nAnswer: -(b + 1)*(b + 308771)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020201 - 120121313?\nAnswer: -121202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 + w + 1. Let r be v(-8). Let b(c) be the first derivative of -c**2 - 7*c - 1. What is the remainder when 12 is divided by b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 3*b + 304*b**2 - 89*b**2.\nAnswer: 215*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*a + 37, -6*a + 2*a + 31 = 5*t. Solve -s = -3, -3 = 5*y + s - t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3 + 7. Let i be (-14)\/(-4) + (-2)\/4. Suppose -9*j = 352 - 361. Solve -i*k + s*k = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 725280620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.76 + -0.2.\nAnswer: 50.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -22*m + 2*n + 17, -4*m = -n + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.3, 0.2, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -3*z + 55\/2*z**2 + 12. Let q be g(1). What is the highest common divisor of q and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b**4 + 4*b**2 + 4*b - 12. Let q(g) = -g**4 + g**2 + g - 1. Let j(h) = 4*q(h) - t(h). Differentiate j(k) wrt k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4896820?\nAnswer: 2, 5, 244841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-5)\/(-5))*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let p be (o + 1)*5\/2. Let m = -33 + 58. Calculate the greatest common factor of m and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + h**3 - h + 2*h**4 + (3 + 1 - 2)*(-3*h**4 - 5*h**4 - 2*h**4) in the form c*h**4 + g + w*h**3 + b*h + s*h**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:36 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 503502 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q - 1)*(-11*q + 11*q - 5*q) - q + q - q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59169462 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 4*g + 15*g - 165 + 165 + 0 + 0 - g + (0 - 2*g + 0)*(4 - 6 + 4) + 1 - g - 1 + 4*g - 5*g + 0*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -94. What is the units digit of (-620)\/(-16) - t\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l. Let n(h) = h**2 + 15*h - 14. Let p be n(-16). Let v(a) = 91 - 91 - a**p + 3*a**2. What is v(w(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/34 - -22 - (-1 + 1)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(2))\/sqrt(2) + -3)**2*-3 + 5 + 2.\nAnswer: -77 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 7*v - 10. Let l(s) = 5*s**2 - 7*s + 10. Let i(a) = -3*l(a) - 4*z(a). What are the prime factors of i(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00787997484 to 5 dps.\nAnswer: -0.00788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -34. Find the third derivative of -2354*w**2 - 5*w + w + 2358*w**2 + 3*w - d*w**3 wrt w.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 26, -4, -2\/9, 1.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 153\/51*(-2)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + b**3 + 5*b**3 + (-3*b**2 - 8*b**2 + 17*b**2)*(3*b - 4*b + 3*b) + 6*b**3 - 3*b**3 - 4*b**3 + (-5*b + b**2 + 5*b)*(-3 + 3 + 7*b).\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 - 678*j - 10598. Determine b(-152).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509.7 + 510. Suppose -3*n = -5*z - 0*z + 235, 188 = 4*z - 5*n. What is the third smallest value in c, z, -3, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45097.\nAnswer: 13, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 3 + (sqrt(78)*-1*-3)\/(sqrt(108)\/sqrt(2))).\nAnswer: -14 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/12*(-36)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 19510*u**3 + 5342400*u**2 - 53920861750*u - 53075487933125.\nAnswer: 5*(u - 1663)*(u + 1855)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/60 + 5*j**4\/24 - j**3\/2 - 2*j**2. Let t = 56 + -56. Suppose t = 2*r - 0*r - 8. Calculate p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -886208578.\nAnswer: -886208578.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/159 and 28\/6*54\/48.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 3*f. Let s be f - 2*(-2)\/4. Suppose -5*o = -s*o + 85. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.50730497 to 1 decimal place.\nAnswer: -87.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7*(11\/3)\/(6446\/17580)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p, 2*p = -2*a - 1 + 3. Let d(u) = 4 - u + 11*u**3 - u**2 - 15*u**a - 4. What is d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47225.\nAnswer: 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 30. Let n be k(14). What is the third derivative of 25*f**2 - 83*f**n + 23*f**4 + 39*f**2 wrt f?\nAnswer: 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 77*j + 2. Let w = -97 - -97. Suppose -3*k - 3*s + 15 = 0, w = 5*k + 6*s - 3*s - 17. Let n be m(k). Which is greater: 80 or n?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/21813 and -77\/36.\nAnswer: 261756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -0*w - 4*w + 74. Suppose 2*l + 2*o = -98, 2*l = l + 4*o - 44. Let m = l + w. Solve -5 = -3*d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-72)*(-24)\/(-16)*-39*3\/36?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(600\/36)*36. Which is smaller: f or -21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31471335 and 22015.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s\/s**(-5)*s)\/s))**(-36)*(s*s**9)**(-22) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 1201, 1905, 2609, 3313, 4017?\nAnswer: 4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z - 49 = -3*m, -2*m + 3*z + 31 = 0. Let k(s) be the third derivative of s**4\/24 - s**3\/2 + s**2. What is the units digit of k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 16 = 0. Let q be (j\/12)\/(2\/3). Let s be -3 - (-4 - q - 143000). Round s to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -1917?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 90c3238?\nAnswer: 90c323b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*c = j + 10, -4*j = -c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 287 + -281 + -1 + 1 - 56\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 0. Suppose -73620 = -2*a + b*a. Round a to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 13*d**2 - 35*d - 279. Give v(-7).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u + 10*u + 3*u**2 - 27*u. Let f(q) = -4*q**2 - 3*q. Let s(o) = 44*o**2 + 32*o. Let t(v) = -32*f(v) - 3*s(v). Calculate d(t(z)).\nAnswer: 48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26458515 and 135.\nAnswer: 26458515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 93572\/(-10)) + 83\/(-415). Calculate the greatest common factor of k and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8324059 from -0.14.\nAnswer: 8324058.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by 329?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010424 to 4 dps.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6805 is divided by 343?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((sqrt(4) - sqrt(8)\/sqrt(2) - sqrt(4))*5).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a hour?\nAnswer: 44100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 184?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/32*4)\/(12\/16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3825429.\nAnswer: 3, 23, 55441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-567)\/4536*(-16)\/70)\/((-3)\/10).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -304*v + 293*v + 22. Suppose -12*i - 10 = -5*r - 7*i, 0 = v*r - 4*i. Find k such that 5\/3*k**2 - 5\/6 + 5\/6*k - 5\/3*k**3 + 5\/6*k**5 - 5\/6*k**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6577 or 6576?\nAnswer: 6576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) -2\/893 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-63)\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9718865 is divided by 3171.\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10401.\nAnswer: 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 19*t**2 - 303*t - 8. What is f(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*k - 557*k + 19 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-3 - -12) + (15 - 23)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/5)\/p**17*p**(-3\/8)\/(p\/((p\/(p\/(p\/(p*p\/(((p\/(p**(2\/7)\/p))\/p)\/p)))*p))\/p)) assuming p is positive.\nAnswer: p**(-6289\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9557994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1521, 1, 285\/8, -14.\nAnswer: -14, 1, 285\/8, 1521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times -1165173?\nAnswer: 256338.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 147, 1, 0 in increasing order.\nAnswer: -1, 0, 1, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*h - 110, -5*c = h + 16 - 143. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - -1)\/3 + (11 - 13). Solve 26*h - 22*h - 20 = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 11*b**2\/2 + 29*b - 2. Let k(u) = 4*u + 10. Let s(t) = -3*g(t) + 8*k(t). Suppose -3*a = -5*a. Give s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, 4, 9954.\nAnswer: 1, 3, 4, 5, 9954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 - 2*a - 1. Let w be k(-1). Solve 3*g = -y + w, 4*g + 1 = 4*y + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213122100 (base 5) to base 10.\nAnswer: -910900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 3:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*6\/13 - -2. Let n = -2051.7 + 2052. Which is the fourth biggest value? (a) n (b) 4 (c) -1\/4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 30. Let f be 4\/(-12) + 7040\/o. Suppose 0*s + f = 7*s. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 + -2 + 3. Suppose -u*g = -5*x + 108, -5*x + 4*g + 94 = -15. What is the remainder when 61 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0*j - 3*j)*(-7 + 4 + 0) + 3204 + 3218 - 6422 - 7438*j in the form f*j + y and give f.\nAnswer: -7435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 4 - 6*o - 1 + 2. Suppose 9 = 3*l + 3*k, k - 6*k = -5*l - 15. Let u be l + 1 - 2 - 4. Calculate s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b02cb (base 13) in base 15?\nAnswer: -63386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 - t**2. Let c(o) be the second derivative of 6*o + 0*o**3 + 0*o**2 - 1\/12*o**4 + 0. Calculate q(c(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -10079?\nAnswer: 4\/10079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131876546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hksknsj. Give prob of picking 1 k and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-6 - 6*u + 6 + (0 - 1 - 2)*(u + 2*u - 4*u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3\/6 - 3*f**2 - f. Let o be y(-9). Suppose -o*n = d - 65, 5*n - 2*n + 5*d = 61. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 5*o**9\/252 + o**5\/12 + o**4\/24 - 25*o**2. What is the third derivative of i(n) wrt n?\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1583 take away 0.5?\nAnswer: -1583.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2) - 5)*-1. Which is the closest to -2\/3? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323.0899965419 + 323.09. Round y to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 - 6*n + 2. Let p = -8 - -7. Let a(z) = 2*z**3 + z + 0*z - z**3. Let j(x) = p*r(x) - 6*a(x). Differentiate j(i) with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -t + 5*z, -t + 3*z - 10 = -0*t. Do -10 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892331 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34235 by -167.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 1 - 5 + 2)*(312*u + 129*u + 73*u)*(69*u**2 - 3*u**2 - 24*u**2) as h + t*u**4 + g*u**3 + z*u**2 + w*u and give t.\nAnswer: -21588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1632807 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, 4, -4, 36, -3\/4 in increasing order.\nAnswer: -18, -4, -3\/4, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**6\/21 + h**4\/7 - h**2\/7 - 134. Factor q(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15864978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 2:56 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.269 less than -1.20303?\nAnswer: 5.06597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2. Let x(f) = 3*f + 4. Calculate x(b(a)).\nAnswer: -3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 25708248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3240740 and 24.\nAnswer: 19444440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*m = 0, -2*x = 4*m - 2*m - 16. Suppose -x*g - 2*l - 1164 = -8*g, -g + 273 = -5*l. Suppose 76 - g = -7*i. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 6 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 - -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 + 8*n. Let r be u(-8). Sort r, 5, 3\/5.\nAnswer: r, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 4. Let b(i) = i**2 - i - 3. Let r be b(3). Suppose 0*t - r = t. Let m(o) = 2*o - 9. Give t*m(z) - 7*u(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3\/3 - 8*i**2 - 9*i + 219. Give c(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**3*m*n**2*u - 219553*d**3*m*u + 4*d**2*n - 4*d*n**2*u + 67*m*u + 70*n**2*u wrt d?\nAnswer: -60*m*n**2*u - 1317318*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 7*u**2 - 5*u + 6. Let x be p(-6). Let j be 1\/(-3)*x - -6. Find the third derivative of 0*m**2 - 4*m**2 + 3*m**j + m**2 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253\/2010 + 1\/134. Let l = 48540\/23 + -532695\/299. Let j = l + -329. Which is the smallest value? (a) j (b) -1 (c) -4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1\/56*i**4 + 1\/490*i**7 - 3\/140*i**5 + 1\/280*i**6 + 0*i + 0 + 38*i**2 + 1\/7*i**3. Solve a(z) = 0 for z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -18 + 0 - (-38663 - -38744).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*m + z + 10, 3*m = -5*z - 25. Which is bigger: m or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 10*g = 8*g. Solve 4*x = -3*t + 1 - 5, x + 2*t - 4 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*b**5 - 6*b**3 - 1786*b**2 wrt b.\nAnswer: -2220*b**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10971.79 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*g**2 - 2163*b**3*g - b**3 + 708*b**2*g - b*g**2 wrt b?\nAnswer: 6*g**2 - 12978*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 427\/9 (b) 3\/7 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-1)\/(15\/10) - 4042\/(-1410))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, 7*l - 60 = 4*l - 3*c. Let y(d) = -2*d**2 + 43*d - 23. What is the remainder when 146 is divided by y(l)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, y: 6, n: 3, a: 2, m: 1}. Give prob of picking 2 n.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*(-4)\/48)\/(-1). Let k = 0.5 - 0.56. What is the third biggest value in y, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11. What is the nearest to -0.1 in n, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 14*x**2 - 15*x - 23. Let m be n(-13). Solve -b = -4*b - 6, 3*g = -m*b - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.022, -5, -1, 0.06, 0.3 in increasing order.\nAnswer: -5, -1, -0.022, 0.06, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d86 - -7abc?\nAnswer: 6d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1310 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3625, 18061, 43311, 79381, 126277, 184005, 252571, 331981?\n\"Answer: q**3 + 5401*q**2 - 1774*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 298.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*o + 7*o. Let g(w) = -w**3 - 10*w**2 - w - 6. Calculate the remainder when g(o) is divided by (-1)\/3 + 10\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -2*v, 2*v - 5 = -m + 40. Let n(g) = -204*g + 827. Let t be n(4). Suppose v*w = t*w + 2070. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 749739213*i + 446499627?\nAnswer: 749739213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 553516?\nAnswer: 1\/276758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 4977238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39454374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 2087?\nAnswer: 22957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 259 = -5*m. Let f = m + 50. Suppose f*o - 2455 = 82*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -997956 and -10?\nAnswer: 9979560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 10\/3 (c) 0.39 (d) 3.7 (e) 367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 747*l**2 + 2*l**3 - 255*l**2 - 111*l**2.\nAnswer: 2*l**3 - 1113*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 4, 29, 76, 151, 260, 409, 604?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9634747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.1*-0.031\nAnswer: 0.2201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2611 is divided by 375?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.711251 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 119*y**2 - 4*y**3 + 0*y**3 - 69*y**2 - 64*y**2 in the form d + b*y**2 + a*y + z*y**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.309 + -0.36.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3136 and 29\/20?\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-630)\/(-27))\/(6\/45). What is the tens digit of (-70)\/y + (-11614)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 147 = 10*g. Which is greater: 23 or g?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43275 divided by 59?\nAnswer: -43275\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1\/g)\/g*g)**(-41))**(5\/8)*(g**(-2)*g)\/(g*g**(-1))*g*g\/((g\/(g\/(((g**3\/g)\/g)\/g)))\/g)*g**(-5)\/g assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7.21 - -6.59\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-27 - -28)) + (-6 - (1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29208 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 39*j - 20. Let i = -66 + 69. What is the units digit of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 40. Give d(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m + 0*m)*(1 - 5 - 2)*(-27 + 23*m - 21 + 47).\nAnswer: -414*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/((-8)\/2) + (-51 - -10). Let z(x) = 27*x**2 + 111*x + 10. Let h be z(j). Round h to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/211680 and -67\/70000.\nAnswer: 26460000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6131.\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 2. Let m be h(2). Suppose 6*f - f + 3*s = 74, -40 = -3*f - 4*s. Let n be (-1)\/(3 + f\/(-5)). Solve m*a - n*a = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/4 - 473*p**3\/3 + 11853*p**2\/2 + 10*p - 6. Find the first derivative of c(b) wrt b.\nAnswer: -15*b**2 - 946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970 > 132418\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 18*a**5 + 114*a**4 - 16*a**3 - 368*a**2 - 352*a - 96 = 0.\nAnswer: -6, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d*(d\/d**(-3\/8))\/d))\/d)\/(d\/d**(4\/7)))**(-26\/5) assuming d is positive.\nAnswer: d**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360020 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -0.31. Let a = y - 2.3. Sort -1\/4, 3, a in ascending order.\nAnswer: a, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10182*o - 2878279. Determine z(-291).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 13, -69, 15, -2, 0 in descending order.\nAnswer: 15, 13, 3, 0, -2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let y be (20\/1)\/4 + -6. Let z(m) = 6*m. Let b(d) = y*z(d) + 5*q(d). What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551224230 (base 6) to base 5.\nAnswer: 10011113024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 75 + 67 + 11*g + 86 - 208 + 2*g**2 + 2*g. What is v(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4064 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11)\/((-148)\/6512)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -604 - 22?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 + 2*t + 15. Is w(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/10)\/((-4)\/10). Let g = 0.18 + -0.38. Which is the closest to 0? (a) t (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31713 * 14.\nAnswer: 443982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 143*s - 34. List the prime factors of r(2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 21\/10) + 98345704\/6640.\nAnswer: 3, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -6 - (5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*f**3*t - 2*a*f**2*t**2 - 35*a*t + 140*f**3*t**2 + f wrt t?\nAnswer: -4*a*f**2 + 280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14012510 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*n - 64*n - 521 - 59*n in the form t*n + c and give c.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/(4\/24). What is the units digit of 4\/16 + (-67)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 3. Suppose 0 = -2*s + f - 3 + 12, 33 = 5*s + f. Let x be 930\/18 + (-2)\/3. Let n(m) = -57 - x + 158 - 52 + 3*m. Calculate s*n(k) + 4*z(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 7*t**2 - t + 14. Give w(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1668, 3120, 4554, 5964, 7344, 8688?\nAnswer: 9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 1\/5, 2, -11, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -5342974.\nAnswer: -5342973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 - 30106*q - 30104 = 0.\nAnswer: -15052, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 107, -4, 4, 5, -1.\nAnswer: -4, -2, -1, 4, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 475806351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -16*k - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343))**2 + 2*(sqrt(7) + 2) + ((sqrt(1008) + 1)*6)**2.\nAnswer: 866*sqrt(7) + 36671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 3*c. Let p(q) = -31*q**3 + 93*q**2 - 429*q + 468. Let l(y) = -7*a(y) + p(y). Factor l(w).\nAnswer: -3*(w - 26)*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1053) + (sqrt(1053) - sqrt(1053)*-2) + -4 + 0 + 1*(-4 + (sqrt(1053) + (sqrt(1053) + sqrt(1053) + sqrt(1053)*1 - sqrt(1053))**2)*2) + -3.\nAnswer: 54*sqrt(13) + 8410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.40534 meters to nanometers.\nAnswer: 41405340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + 2*m)*(-4*m**3 + 0*m**3 - 2*m**2 + 0*m**3).\nAnswer: -16*m**4 - 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efvv when four letters picked without replacement from vvsfessssfvvesffses.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-6*3 + (sqrt(68) - (sqrt(68) - -3*sqrt(68)))**2 + -4.\nAnswer: -36*sqrt(17) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(0 + 5*2*(sqrt(1216) - sqrt(1216)*-1) + 0)*-6)**2.\nAnswer: 3939840000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/324)\/(30\/45) - 22\/(-176)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-7)\/(-2))*-8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihhh when four letters picked without replacement from ihhih.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 11*q + 5. Calculate h(17).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 80.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(1216) + -1)*-3)**2*1.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*l = 61 - 64, 5*x - 4 = 4*l. Let f(h) be the second derivative of -1\/6*h**4 - 3*h**2 - h**3 - 1\/90*h**5 + 3*h + x. Factor f(c).\nAnswer: -2*(c + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/11)*r*r\/r**(3\/2))\/(r**(-1\/11)\/r*r\/r**(-10)))**(16\/5) assuming r is positive.\nAnswer: r**(-1752\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -5, 3, 5, -1, -263270 in descending order.\nAnswer: 10, 5, 3, 1, -1, -5, -263270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181131162 to the nearest integer?\nAnswer: 13458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 - w**4\/3 + 5*w**2\/2 - 3*w. Let c be m(3). List the prime factors of (20\/15)\/(c\/(-66)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*w + 48, -2 + 26 = 2*w - 2*b. Let g = w + 0. Suppose 3*z = 6*z + g. Sort -2, z, 2 in ascending order.\nAnswer: z, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -30. Put 0.4, -0.3, a in decreasing order.\nAnswer: 0.4, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let u = -0.25 + 3.25. Let h = 3326 + -3327. Which is the nearest to q? (a) u (b) -1\/12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293044 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: Find v, given that -5*v**2 - 120*v + 125 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 15) in base 10?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 3*v**3 - 3*v**3)*(-38*v + 43*v + 83*v)*(-2 + 0*v - 4*v + 5).\nAnswer: 704*v**5 - 528*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 14*d**2 + 0 + 0*d**3 + 1\/12*d**4 + 0*d. Let s(l) = -12*l**2. What is s(b(h))?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 64 = -8*x. Which is bigger: 9 or x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 21*u = 23*u - 95, 89*k + 4*u = 84*k + 115 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2128 and 912.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3206 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 839, 2035, 3267, 4535, 5839, 7179, 8555?\n\"Answer: 18*f**2 + 1142*f - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 9*j + 4. Suppose 4 = j*p + 6. Let y(g) = -53*g**3 - g**2 - 3*g - 2. What are the prime factors of y(p)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 15\/(-4))*-4. Is 77 - (-2 - (k + -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13 = 5*y, 5*y = 5*z + 14 + 6. Is (1 - -1096) + y - (-5 - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20207)\/(-3) + (-728)\/156. Calculate the greatest common factor of f and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.89 - -3. Let f = o - 135.11. Let k = -148.6 - f. Round k to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -1.96. Let s = 3347 - 3347.3. Sort f, 3, s in descending order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99620149.\nAnswer: 99620149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 20*g + 5. What is the third smallest value in 3, 0.5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0.5 (c) -0.11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1 (c) 2\/180079 (d) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.021118751 * 0.4\nAnswer: 0.0084475004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -113.3 and -39567 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from addmdama. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 32 - 27)*((3 + 1 - 6)*(-2*p - p + 2*p) - 4*p + 0*p + 3*p + 5*p - 2*p - p)*(-4*p**4 - p**4 + 4*p**4).\nAnswer: -288*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*sqrt(102) + sqrt(102))*-5*4*-3)\/((sqrt(216) - (sqrt(216)*-1 - sqrt(216)))*2 + sqrt(216)*2*5)*-6.\nAnswer: -45*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68.15064072772 and 0.2.\nAnswer: -67.95064072772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-920)\/60 - -16) + (-2)\/21. Sort -3, n, -4, 21, 3 in decreasing order.\nAnswer: 21, 3, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(153) - sqrt(153))*2)\/(sqrt(324)*2*2).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 1\/7*(-60 + 143)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -18.146, -1.3, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 12. Suppose l*s - 16 = 4*s. Is (2 - (s + -1))*-5 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5951 - 185889 = -1744*x for x.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 at most -8049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -5, -2*o + 67 = 5*i. Suppose 5*q - o = 249. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94*10\/12)\/((-8)\/(-288)*12*5).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 57\/12. Let z be (-4)\/(-2) + -5 + 5. Suppose -2*h + 0*h = -z. Sort h, -1, y.\nAnswer: y, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 18*z**2 + 43*z + 2. What is q(20)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-319*t + 156*t - 2 + 111*t)*(2 + 1 - 2).\nAnswer: -52*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4731 is divided by 1167.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-665)\/(-225) + -3)\/(3\/30).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**3 + 47*b**2 + 5*b - 10. Let x be l(6). Put x, -5, -18 in decreasing order.\nAnswer: -5, x, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/60 + f**5\/20 + f**4\/8 + 71*f**2. Let b(x) = 6*x**3 - 10*x**2 - 10*x. Calculate -3*b(g) - 10*j(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**4\/24 - 2*m**2 - 3. Let j(v) be the second derivative of u(v). Let q(r) = -2*r**2 + r**2 + 4*r**2. Determine q(j(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -8*r**4 - 908*r**3 - 3892*r**2 + 3632*r + 15696 = 0?\nAnswer: -109, -9\/2, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 195*t**2 + 2983*t + 8012. Determine l(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 2:08 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 151?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.5 - -166.3. Let d = 36.8 - o. Let s = -155.999937 - d. Round s to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, -1, 1, -2\/17, 4\/9, 2\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.3, -0.5, -3, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 909aa (base 14) in base 7?\nAnswer: 2645403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03440252 rounded to four dps?\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.931 + 0.069. Let r = f - 52. Let x = 221 - 222. Put -0.1, x, r, 0.3 in ascending order.\nAnswer: x, -0.1, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l**3 - 12*l**2 + 26*l. Let y(r) = -7*r**3 + 4*r**2 - 9*r. Let a(h) = -6*q(h) - 17*y(h). Give a(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 6. Let k be w(-4). Suppose 4*z = 2*b - 0*b + 70, -5*b - 67 = -4*z. What are the prime factors of 184\/z - k\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i = 881718 + 213294. Let q = i + -10559. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*126.\nAnswer: 8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -54, -0.4, -0.5, -1, 4748, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783 greater than 3782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154049.\nAnswer: 3, 13, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110011002 + 23?\nAnswer: -110010313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 + 7*t. Let u(m) = 22*m**2 + 27*m**2 + 3*m - 48*m**2. Give -3*s(d) + 7*u(d).\nAnswer: -3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 106991236 divided by -4?\nAnswer: -26747809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - 2*l**2 + 2*l + 2. Suppose p - 7 = 4. Let a = 17 - p. What is the lowest common multiple of a and b(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:26 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3)*(-3*d - d + 3*d) + (-6 + 6 - 6*d)*(-12 + 13 - 30).\nAnswer: 169*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 3*q + 0*q)*(2 + 2 - 3 + (-1 - 3 + 3)*(4 - 3 - 3)) in the form n + s*q and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 5*j + 5. Let v be y(2). Calculate the greatest common divisor of 77 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/61, -3, -1.054, 2, 3 in ascending order.\nAnswer: -3, -1.054, 2\/61, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 + 7948*d - 118445070.\nAnswer: -2*(d - 29805)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhehtszjjzeeejezzehh. Give prob of sequence esj.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66346 is divided by 502?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1584) + 1.\nAnswer: -60*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {u: 4, z: 9, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 707\/(-63) - -11 - (-224)\/360. Factor -4\/5*j + n*j**2 + 0.\nAnswer: 2*j*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 0*p + 2 + 2\/5*p**2 - 2\/25*p**5 - 2\/3*p**3 + 2\/5*p**4. Determine a, given that z(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:38 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - 6 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.36, 5, 0.26 in increasing order.\nAnswer: -1.36, 0.26, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 57*h - 102. Calculate the smallest common multiple of f(-41) and 2.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403617114?\nAnswer: 2, 3, 19, 61, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -798 + 1133. What are the prime factors of l?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:46 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:27 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-11\/5))**(17\/4)\/(((h**(-2)\/h)\/h*h*h)**(1\/37))**(7\/9) assuming h is positive.\nAnswer: h**(-62131\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -148, 8, 236?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z + 3. Suppose -5*t - 3*r + 17 = 0, 4*r - 11 = -z*t - r. What is the smallest common multiple of t and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let n(s) = -1. Let b(k) = -5*k**2 + 6. Let h(j) = b(j) + 6*n(j). What is w(h(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 8, -8, -0.00447 in increasing order.\nAnswer: -8, -1, -0.00447, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157056 = -39*w - 15*w - 43332. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -l + 5*p, -24*l - 5*p - 1 = -22*l. List the prime factors of (1 - 3)*1 + (l - -564).\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 7*g**4\/4 + g**3\/3 + 35*g + 60. Find the third derivative of c(o) wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(2\/3 + -2). Suppose -16 = t*y, -18 = -q + y + 4*y. What is the remainder when 24 is divided by (12\/(-5) - q) + (-144)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*r - 15, 3 = 12*c - 13*c - 3*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 500\/35 - (-18)\/(-63)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 75968\nAnswer: -379840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103685 (base 16) in base 3?\nAnswer: 1222222112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101010001 (base 2) to base 8\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rsrsrsssss?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*((k\/k**(-6\/7))\/k)\/k)*k**(4\/5))**(-3\/5) assuming k is positive.\nAnswer: k**(-99\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6.99 (b) -48 (c) -14 (d) 3.5 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4729 - 4729 - 14123*b to the form h + s*b and give s.\nAnswer: -14123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b - 4. Let k be 4 + -3 + 5 + 0. Let q be z(k). Suppose -l + 34 = 3*o, -9 = -q*o - o. 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 eighth root of 2755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(17))*1 + 4 + (-2 + sqrt(17) - sqrt(17))*5 + sqrt(17) + (sqrt(2057) - (sqrt(2057) + -1))**2.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 730 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-126)*(7 + 1 - 4). Suppose 0*v + 0 + 2\/7*v**3 - d*v**5 - 4\/7*v**2 + 4\/7*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**25*r*r**3*r)\/(r\/(r**(-1\/5)\/r)*r**(22\/7)) assuming r is positive.\nAnswer: r**(898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k. Let y be t(2). Suppose 0 = -2*z + 6*j - j + 16, -4*z - 2*j + 8 = 0. Sort 0, y, z.\nAnswer: 0, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.32831kg to tonnes.\nAnswer: 0.02132831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32479, -32426, -32357, -32266, -32147, -31994, -31801, -31562?\nAnswer: -31271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10161814, -40647264, -91456356, -162589096, -254045490, -365825544, -497929264, -650356656?\nAnswer: -823107726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1773595, -1773591, -1773587?\n\"Answer: 4*z - 1773599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17023*p + 10 = 17027*p - 2*q, 5*q = -5*p + 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2496 (b) -63 (c) 0.1 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/5)*g*g)**(-11\/3)\/(g**(-2\/5)\/g)**(-4) assuming g is positive.\nAnswer: g**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a + 172*a + 240*a + 73*a - 9*a to the form s*a + m and give s.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4) + 3 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 7*v - 7. Let b be s(5). Suppose -5*c = -n + b + 10, 0 = -4*c - 20. Let w be n*3\/(0 + -9). Calculate the highest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -15420542?\nAnswer: -15420544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 15 + 57. Let y(z) = -z**2 + 10*z + 44. What is the tens digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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 sfd when three letters picked without replacement from {d: 2, r: 1, s: 1, x: 3, z: 2, f: 10}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l + 5*i - 15 = 0, -5*l - 4*i + 15 = 0. Factor 2\/9*p**l - 2\/9*p + 0 + 0*p**2.\nAnswer: 2*p*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a)**(1\/31)\/((a*a*a**(2\/5))\/(a\/(a\/(a\/a**(-3)*a)))) assuming a is positive.\nAnswer: a**(378\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 592635454456 and -0.6.\nAnswer: 592635454455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h + 8. Let k(p) = -5*p - 23. Let r(j) = -4*j - 19. Let c(g) = -5*k(g) + 6*r(g). Give 6*c(i) - d(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:16 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2884926 millilitres in litres?\nAnswer: 0.0002884926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 4*c. Let h(i) = i - 7*i**2 + c*i**2 - i. Let t(u) = -2*u**2. Give h(t(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -18 - (16 + -30 + 13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/((-13)\/1092). Suppose -3*s = m - 6*m + 56, 0 = 4*s - 4*m + 72. Let x = h - s. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 297, 450, 601, 750?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {g: 6, q: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*x**4 + 38*x**4 + 403*x**4)*(-x + 2*x - 3*x).\nAnswer: -716*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 + x + 11. Let u be q(5). Let k = 245 - u. What is the remainder when 206 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2 - g**2 + g**5 + 66*g - 34*g - 36*g wrt g?\nAnswer: 20*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6459 + -6459.4. What is the closest to 30 in 0.3, 0.07, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1077646?\nAnswer: 1077646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(m - 2*m - 6*m)*(3 - 49*m - 3).\nAnswer: -686*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) - 882\/495 - -2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 21. Give f(28).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75306 + -10392133\/138. Find the common denominator of a and 151\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -28, -39, -50, -61?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d - 4. Calculate the lowest common multiple of x(3) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918177 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/14 (b) 2 (c) -3 (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299*h**2 - h - 55 wrt h.\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204967*j - 204951*j - 192 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1306345?\nAnswer: -2\/1306345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-120)\/(-18)*(-3051)\/(-18) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11128079*r**2 - 26650095 wrt r.\nAnswer: -22256158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-45)\/144)\/((-5)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((9\/(-2))\/(-3))*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.1 (b) 3 (c) 1\/3 (d) 108 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220036567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205249 is divided by 277.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(2 + sqrt(162)) - ((sqrt(288) - (-3*sqrt(288))**2) + sqrt(2)*-2*1).\nAnswer: -118*sqrt(2) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {v: 1, i: 4, k: 1, a: 1, e: 2, u: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let r(z) = -3994*z. Determine h(r(i)).\nAnswer: 3994*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f - 4. What is h(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -2\/7 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*j - 30 = 1525*j + 65 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 64152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -8. Let f = 3 + s. Suppose -4*x + q = -64, f = -5*x - 3*q + q + 67. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 281*p**2 - 1612*p + 804. Calculate d(146).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025407 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 3\/2, 0.3, -5 in increasing order.\nAnswer: -5, 0.3, 3\/2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + h + 1. Let l(w) = 160*w**2 - 91*w + 2. Let m(j) = l(j) - r(j). What is the second derivative of m(g) wrt g?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o. Let x(k) = -84668*k - 20 + 84620*k + 20. Determine a(x(j)).\nAnswer: -144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118854 and 8060985?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 140 = c, -4*c - 45 = -3*g + 62. Calculate the remainder when 142 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-606)\/(-8) + (-12)\/(-51 + 3). What is the highest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618240 is divided by 265?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-6048)*48)\/(((-8)\/(-9))\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-6) + 6 + 3 + 1. Suppose -2*a - a + 3 = 0. What are the prime factors of (-46)\/d*(-5 + a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21311 - -132431?\nAnswer: 204242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264127.\nAnswer: 131, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26433, 5, -13.\nAnswer: -26433, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*y - 0*y + 104, z + y = -100. Let i = z + 98. Determine a, given that 8\/3*a**2 - 4\/3*a**3 + 0 - 14*a**4 + i*a + 15*a**5 = 0.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*m - 240, -3*m - 65 = -2*i + 71. Let g = -111 - -75. Let n = g + i. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q*q\/(q*q**(-2\/13))))\/q*q*q*q)\/(q**1\/q))\/(q**(-4)\/(q\/q**11)))**(3\/4))**31 assuming q is positive.\nAnswer: q**(-2511\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*q - 65*q + 4, 0 = -j + 12*q + 46 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 5 + 1\/(-1). Suppose 206 - 38 = 21*k. Solve -5*f = 5*d - 20, d - k = -5*f + j*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doodoododmmoddd. What is prob of sequence om?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + 3. Suppose -50*v + k*v = 36. Are v and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2. Let y(o) = 337*o. Determine y(r(w)).\nAnswer: -1685*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from newexn. Give prob of sequence nw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3822869 months to years.\nAnswer: 0.115190575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.386 * -692.58.\nAnswer: -267.33588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyusuzzhzyybyysbyyb. Give prob of picking 1 s, 1 h, and 2 z.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.3, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*-2 + 7. Let x be (h\/(-15))\/((-1)\/35). Solve 4*a - 31 = -3*y, -y - 3*a = a - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -12.03. Let w = -11.800063 - h. Round w to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 200.73, -4\/13, -2\/9?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4.3 (b) -415 (c) 1.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3498.63671 to the nearest ten.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x**3 - 6696470*x**2 - 111611840*x - 71431680 = 0. Calculate x.\nAnswer: -16, -2\/3, 446448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 4*q)*(-3*q + 4*q + q) - 4*q**2 - 3*q**2 + 2*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 5*h + 5*h)*(-2*h - 2*h + 2*h + (0 - 2 + 4)*(7 - 8 - 14)*(-8*h + 2*h + 0*h)) in the form c + m*h**2 + x*h and give m.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 83290963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 84341?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z + 52. Let j = z - -7. Let y = j - -11. What is the remainder when 14 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:51 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23780)\/(-2)*(44 + 956). What is c rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 7. Let y be (4 + -7)*1*6. Let x = y - -12. Determine p(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.0593, 0.2, 4 in descending order.\nAnswer: 6, 4, 0.2, -0.0593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 8*g - 6. Suppose 2*o - 249 = -263. Determine m(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355\/4064 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Let w = -6 - -4. Which is the nearest to s? (a) 3 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18396.95619 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 28. Suppose 2*t - 2*x - 6 = 3*t, 0 = 2*t - x + 27. Let q be l(t). Suppose 4*u = 11 - 3. Solve u*m - 4 = q*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4\/12 - 5*s**3\/3 - 4*s**2 + 8*s. Let i be m(11). Factor -1\/2*d - 1\/2*d**5 + d**i + 0*d**4 + 0*d**2 + 0.\nAnswer: -d*(d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952195 is divided by 650717.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from zzeuouzozzgouooggz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -18104\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwiy when four letters picked without replacement from yqwiuwmuy.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*8\/96*-66?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 892*z - 397832.\nAnswer: -(z - 892)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -383*z**3 + 6*z**2 + 13*z - 3. Let t(b) = 1148*b**3 - 16*b**2 - 36*b + 8. Determine -8*o(y) - 3*t(y).\nAnswer: -380*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/84 + -1 + 478\/420. Let w(q) be the third derivative of 0 + 0*q**3 - 1\/12*q**5 + 6*q**2 + 0*q - 1\/40*q**6 - 1\/24*q**4 + r*q**7. Factor w(l).\nAnswer: l*(l - 1)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*d**3 + 51*d**3 - 287*d**3.\nAnswer: -450*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let p be k(0). Which is the second biggest value? (a) p (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16722, -67351, -151882, -270309, -422626, -608827, -828906, -1082857?\nAnswer: -1370674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 70*i + 587. Give t(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2 + 5*z + z**2 - 21*z**2 + 21*z**2. What is m(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2453 + -2156. What is the highest common factor of a and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1981 - 3955\/2. Let p(y) be the first derivative of -1\/3*y**3 - 6*y - 23 + j*y**2. What is p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**2\/2 - 2*n. Let m(u) = 4*u - 7. Let r(b) = m(b) + 4*y(b). What is the first derivative of r(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9682*r + 3 - 9690*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0189 and -3268?\nAnswer: 61.7652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/2 - 264*v**3 + 8775*v**2\/2 - 19197*v = 0. What is v?\nAnswer: 0, 9, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/6 - 337*v**2 + 227138*v - 153091012\/3 = 0. Calculate v.\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20 - 43 + 19 + 4*a. Let h be o(1). Let r(t) = -t**3 - t**2 - t - 14. Give r(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, -340, -5, 4 in decreasing order.\nAnswer: 237, 4, -5, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2867 divided by -2677\nAnswer: -2867\/2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -475.26 + -135.74. Put 5, -4, i in decreasing order.\nAnswer: 5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 9*s**2 - 8*s + 5. Let r be c(8). Let f be (r\/3)\/((-10)\/(-12)). Let w(q) = -q**2 - 4*q + 3. Give w(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 + 8165*o + 292644 = 0.\nAnswer: -8129, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - 90 - (4 + (-1 - 1) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 16855222?\nAnswer: -16855238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12174472631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5679 and 17\/783.\nAnswer: 494073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6620004 = -2*f + c, -2*f = -f + c - 3309996. Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 6 = -2*i - 28*h, 3*h = 4*i. Put -8, i, 2 in descending order.\nAnswer: 2, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 17. Let y(l) = l**3 + 10*l**2 + 4*l - 11. Let m be y(v). Let x(s) = 8*s - 6. Let p be x(5). Calculate the greatest common divisor of p and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1800.515 - -1793. What is u rounded to one decimal place?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -621, -1587, -3203, -5475, -8409, -12011, -16287?\n\"Answer: -t**3 - 319*t**2 - 2*t - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.8 + -0.8. Let j = 21.015 - v. Let y = j - 0.01500106. What is y rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + 4 - sqrt(25)\/sqrt(80) - (sqrt(270)*6)\/sqrt(6))**2.\nAnswer: -138*sqrt(5) + 24061\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let y be i + 1 + (-9)\/4. Let d = 2 - -3. Sort d, y, 3 in decreasing order.\nAnswer: d, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**2 + 5*p - 5. Let w(d) = 6*d**2 + 2*d - 2. Let v(s) = 2*t(s) - 5*w(s). Let b(r) = 3*r**2. Determine b(v(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14) - 8736\/(-1911).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6668 and 737317434.\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - x - 5 = 0, 9*x = 2*l + 7*x - 10. Suppose l = -s - 246 + 262. Which is smaller: s or 82\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100\/9 + 191\/18. Which is the closest to z? (a) 5 (b) 0.1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 - 2*d + 1. Let c be h(1). Suppose 10*b = 7*b + 57. What is the remainder when b is divided by ((-5)\/(-4))\/(2\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28076337 is divided by 1110.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:37 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**5\/10 - t**4\/2 - 5*t**3\/6 - t**2\/2 + 7. Factor i(a).\nAnswer: -a*(a + 1)**2*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85457.\nAnswer: 97, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8593 and 7271.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0 - 13*p**2 - 11\/6*p**3 + 3\/40*p**5 + 0*p + 1\/24*p**4. Let q(a) be the first derivative of l(a). What is q(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let u(y) = -3*y - 6. Let t be u(8). Let k = t - -37. Calculate b(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(52\/65))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) - (sqrt(208) + -2)*-1))**2*-3 + 1 - -2*(3*(2 + 0 + sqrt(208)))**2)*6.\nAnswer: 2016*sqrt(13) + 19086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u*u*u\/((u*u**(2\/25)*u*u)\/u*u*u)*u)\/((u*u**(-1))\/u**(1\/2)) assuming u is positive.\nAnswer: u**(-179\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12610 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2030, 1719, 5468, 9217, 12966, 16715?\nAnswer: 20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 - 138*v**3 - 9999*v**2\/4 - 13089*v\/2 - 4182 = 0. Calculate v.\nAnswer: -164, -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 373 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 75*k**2 - k + 2. List the prime factors of v(1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-18)*-3*14. What is the highest common factor of 49 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 31. Let w(y) be the second derivative of -y**3\/6 + y**2\/2 - 3*y. What is w(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 355193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + 12.11. Let z = i - 7. What is the closest to -0.1 in 4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 104, 7 in increasing order.\nAnswer: -1\/4, 7, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.08 + -0.08. Let n = 14 + -15. What is the closest to n in 1\/4, 5, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e7b - 245?\nAnswer: 1c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -73*i + 439. Determine h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8736 (b) 32 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) -1\/4 (c) -8 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -125, -272, -479?\n\"Answer: -30*k**2 + 3*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (-22)\/(((-13)\/(-78))\/((-2)\/8)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from cccb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.32002885 + 1.32. What is x rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6145 is divided by 1225.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287655923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, h: 2, k: 2}. What is prob of sequence ky?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t - 5\/2*t**4 - 8\/5*t**5 + 0*t**2 - 3 - 4\/3*t**3 - 1\/3*t**6. Factor s(z).\nAnswer: -2*z**2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1268214 (base 9) to base 14\nAnswer: -141368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 5*d + 5. Let r be z(-5). Let o = r + -1. Suppose -o*h = -2*h - 14. What is the remainder when 12 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6584*d**2. Let a(u) = 16*u**2 + 5. Determine a(y(g)).\nAnswer: 693584896*g**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 10. Let b = 0 - t. What are the prime factors of -2 + 7 + 1 + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 + -9494.\nAnswer: -9493.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*4\/16*(-40 + 0). Suppose 2*n - 5*p + k - 138 = 0, -4*n = -2*p - 236. What is the remainder when n is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*6 + sqrt(6)\/sqrt(3)*5.\nAnswer: 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224293.\nAnswer: 211, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*8\/(-12))\/(4\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 172*f**3 + 3*f**2 - 3*f + 3. Let t(s) = -346*s**3 - 5*s**2 + 5*s - 5. Calculate -5*h(k) - 3*t(k).\nAnswer: 178*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-13 - -16) + (9812\/6 - 9\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 10*d**2 + 2*d - 16. Let w(l) = 10*l**2 + 2*l - 15. Let j(g) = -2*b(g) + 3*w(g). Let q be j(5). Put -5, 0, q, -1 in descending order.\nAnswer: 0, -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85013 divided by 1\nAnswer: 85013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 784*v**4 + 377*v**2.\nAnswer: 18816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -190 and -189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 + 11291738*z\/3 - 31875836765161\/3.\nAnswer: -(z - 5645869)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8235 by -27.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -62. Suppose l - f = -l. Solve 0 = 3*w + 12 - 3, -w - l = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 times -43.3106\nAnswer: 26.419466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -3364?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -20. Let v = 4.5 - 4. Let p be 0 - 1\/1 - 2. Which is the closest to t? (a) v (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - x**2 + 2 + 5*x**2 - x**2 - 3*x**2 + (1 - 1 + x)*(2*x + 2 - 2) - 3 + 3 + x**2)*(2*x**2 - x**2 + 0*x**2).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1697 + 1711. Solve -5*r - 2*a = -s, -r + 2*a + 18 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 42 = 12*l. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -d - 2*d, 3*w = -4*d + 19. Let y be 1*((w - -4) + 0\/(-6)). Suppose y*h - h - 928 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = r + 5*w - 442, -3*r - w + 766 = 0. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 133 times 0.1222\nAnswer: 16.2526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f**3 - 61*f**3 + 76*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164155912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6134.84 + -6124. Round t to 1 decimal place.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = d + 2*d - o, 5*o = 5*d - 30. Solve -17 = d*l + 4*c, 6 = -2*l - c - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.036 - 72.055. Let g = z + 0.019. Let x = g - -52.0000058. Round x to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09109419 + 0.010656?\nAnswer: -0.08043819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -634330 - 156?\nAnswer: -634516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -32.3. Let c = -0.036 + 2.336. Let t = n - c. Put -0.5, t, 2\/13 in decreasing order.\nAnswer: 2\/13, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 73 (c) 739\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3517441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -14*p + 484. What is the remainder when (p - 16)*(-61)\/(-3) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 21*s - 104. Let i be r(4). Let u(a) = 482*a**2 + 41*a + 20. Let d be u(i). Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2, 6\/5, -1\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*r + 3*r - 20*r**5 - 3*r wrt r.\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f - 4. Let l(c) = c - 1. Let y(t) = -k(t) + 3*l(t). Let b(j) = 7*j - 1. Let m(q) = 7*b(q) + 6*y(q). Calculate m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 14605 = -2*s + 14620, -c = 7*s - 66 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 5 (b) -8.6 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = -8*f + 528 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25587077?\nAnswer: 29, 882313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 14 + -20 + -23.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(844668\/(-790)))\/(5\/(-6)*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -4. Let s = -9 - n. What is the nearest to s in -5, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 4828523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.599 + -31.5. What is the nearest to -0.1 in p, -1\/3, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2662596, -5325187, -7987778, -10650369, -13312960?\n\"Answer: -2662591*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 7 + 9. Let i be -3 + 2 - (g + 3). Find the second derivative of 4*c - c**4 - 6*c**i + c**4 + 2*c**4 wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from {d: 7, g: 2, x: 2}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 329754, 329510, 329266?\n\"Answer: -244*b + 329998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ef - -4?\nAnswer: -5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2872 and 4.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3888175, -3888172, -3888169, -3888166, -3888163?\n\"Answer: 3*g - 3888178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.14936 to 3 dps.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002629747 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/306510946 and -49\/262723668.\nAnswer: 1839065676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkir. What is prob of picking 1 r and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 23 + (2 - -9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(136)\/sqrt(128))**2 - (-1 + (sqrt(85)\/sqrt(5))**2))*-4.\nAnswer: 239\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 4*k = 16, -5 = 2*f - 3*k. What is the smallest common multiple of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28388541.50501 + -70.49499. Let v = 28388617.0000027 + h. Let s = 5 - v. What is s rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n + 7. Let y be b(0). Suppose y = g + 1. Let s be g\/(0 - -1) - -2. Solve s*a - 3*a - 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose 4*m = -u + k, -5*m + 5*u = -28 - 2. Solve f + 2 = -m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:31 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233\/3 + -75. Let k be 5\/(105\/(-6)) - (-110)\/(-7). Let p be (12\/k)\/((-3)\/12). Is p bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 + 3011636*d**3 - 2267478814198*d**2 - 13604954199468*d - 20407471956369 = 0. Calculate d.\nAnswer: -3, 1505821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**3 - 5764*u**2 - 3395984*u + 20582544 = 0.\nAnswer: -454, 6, 1889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9578 is divided by 1351?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42024 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Suppose 2*l - 23 = -4*p + 5*l, 5*p = -4*l - 10. Let d(g) = 2*g + p*g - 5*g. What is d(j(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 4\/3, -6, -1, -66, -1629?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {w: 9, c: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i**1)**(-5) assuming i is positive.\nAnswer: i**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 + 346. Suppose b + 3*b - w = 0. Calculate the remainder when b is divided by 16 + 8\/(-32)*28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 69913358 - 27238937. Let q = y - -6724807. Round q to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724856.\nAnswer: 2, 353, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4499712 millilitres to litres.\nAnswer: 0.0004499712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 6*r**2 - 5*r - 14. Let h be s(7). Solve h*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111001100 (base 2) to base 11.\nAnswer: 112a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74902*i*m + 2*m + 30507 with respect to i.\nAnswer: 74902*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -127 (b) 8 (c) 4\/5 (d) -3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*r = 30, -w - 2*r + 169 = 159. Which is the nearest to 0? (a) -1\/6 (b) 0.4 (c) w (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 - 219. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/120 + s**5\/12 - s**4\/2 + 29*s**3\/6 - 99*s**2 + 1. What is the remainder when g(-7) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10798\/22779 or 0?\nAnswer: -10798\/22779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70316, 280668, 631054, 1121468, 1751904, 2522356, 3432818?\n\"Answer: -q**3 + 70023*q**2 + 290*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*n = -10, 20 = -2*c - n + 7. Let d(z) = 2*z**3 + 178*z**2 - 180*z + 4. Let t be d(-90). Sort c, t, 32 in ascending order.\nAnswer: c, t, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 410 - 229. Which is smaller: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-21) + 1 + -2 + 5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 3*z - 0*z, -3*x - 2*z + 23 = 0. Find the third derivative of 4*q**5 - 5*q**x + q**2 + 0*q**2 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 232*j**2 + 9*j - 125. Let s be n(-14). Suppose 0 = -2*l + 13*l - s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905754*g - 80 + 80.\nAnswer: -905754*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2 - 2*w + w)*(0*w + 3*w**2 + 0*w) + 5*w**3 + 2*w**3 - 6*w**3 + (-2 + 2 - 1)*(-4*w**3 - w**3 + 2*w**3).\nAnswer: 10*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1209 and 608825718.2?\nAnswer: 608825719.3209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 + 8*p**2 + 9*p + 8. Let c(o) = 3*o**3 - 5*o**2 - 6*o - 5. Calculate -8*c(s) - 5*y(s).\nAnswer: -4*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)*-1*3)**2*1 + -4*(sqrt(55)\/(-1*sqrt(5)) + (sqrt(132)\/(3*sqrt(12)) - sqrt(11))).\nAnswer: -3564 + 20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q - 35. What is g(9)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -116, -175?\n\"Answer: -59*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/7 - 32090*v**2 - 1572496*v\/7 - 192552 = 0. What is v?\nAnswer: -6, -1, 112322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 + 2*d + 4*d**3 + 19*d + 3 - 22*d**2 - 13*d**3. Let u be z(21). Suppose -u*n + 2 = -3*h - 4, -4*h - 4 = -3*n. Solve 4*l = h*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 285*w**2 + 5 - 5.\nAnswer: -10*w**3 - 285*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(5166\/(-889)) - (2 + (-4)\/8).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51294.\nAnswer: 2, 3, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405138 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 173?\nAnswer: 91\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*y + 5*c = 8, 4*y - 2*c - 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l + 0*l)*(l - 2*l + 3*l)*(16 + 39 - 4).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 652\/1764079 or 0?\nAnswer: 652\/1764079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*s + 65*s - 129*s + (-s + 0*s - 2*s)*(-34 - 34 + 80))*(0*s**3 - 2*s**3 + 2 + s**3).\nAnswer: 42*s**4 - 84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-14 + 2 + 11 + -19)) + -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1188)*-2)\/(-5*sqrt(11)*-3).\nAnswer: -4*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*(-2 - -7). Suppose -i*n - 6 = -26. Let u = n + -1. Solve 0 = 4*k + u*z + 20, 22 = -k - 5*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 2, x: 1, k: 1, z: 2}. What is prob of picking 2 j and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2101105292 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bujjzzbjbzijbujbb. What is prob of picking 1 u and 1 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**8\/42 + 11*a**4\/24 + 9*a**2. What is the second derivative of h(f) wrt f?\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)*((-1 - 6) + 7). What is the nearest to 0.2 in t, -2\/15, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -0.23563?\nAnswer: -0.0188504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*t - 6*t**3 + 3*t**4 - 28*t - t**3 + 7*t**2 - 33*t + 0*t**2 to g*t + s + f*t**4 + z*t**2 + b*t**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i - 2. Let q be l(6). Let f be q - 1*8402*-1. Round f to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let g = -14 - -18. Solve g*h = x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -59619377633.\nAnswer: -59619377627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*i + 4*i = -40, -4*v + 2*i = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 17*v**2 + 7*v + 26. Let g(q) = q**2 + q. Let t(o) = f(o) - 5*g(o). Let w be t(-12). Solve -l - 3 = w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 35*t + 36. Let w be m(34). Solve -w*d + 1 = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - j. Suppose 0 = -j*s - 26 + 106. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 35 = 4*q. Let f = 12 + q. Solve -k = 2*w + 4, -2*k + 7*k + f*w + 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208.62mg in nanograms?\nAnswer: 4208620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 0*s**2 - 3*s**2 + 3*s + 0*s**2 + 0*s. Let l = -9 + 2. Suppose 5 = 4*v - 7. Let f(m) = -2*m**3 - 7*m**2 + 7*m. Determine l*j(r) + v*f(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29705, 59381, 89043, 118685, 148301, 177885, 207431?\nAnswer: 236933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-446)\/(-8))\/((-8)\/(-224)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.7 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -29*i - 268. Determine x(8).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 0.117\nAnswer: -0.01521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 42 + -20 + (-11 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 25752*j**2 - 4*j + 6. Let k be g(4). Let l = k + 148978. What is l rounded to the nearest ten thousand?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(-1\/7)))*f**9)**(-3\/2)\/((f**2)**20\/(f**(2\/3))**(-1\/25)) assuming f is positive.\nAnswer: f**(-58003\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/288 + (-5951)\/(-198). Suppose 2 = -2*p + 4*d, -5*p + d + 22 = -0*p. What is the smallest value in p, 0, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1252 (base 6) to base 12\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-55)\/495)\/(1\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let t be o(12). Let h be 45\/50 + (-6)\/t. Let k be (51\/17*(-2)\/3)\/(-2). Sort k, 4, h, 5 in descending order.\nAnswer: 5, 4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -118386 to the nearest 1000.\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476425617 less than 21057?\nAnswer: -1476404560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 3. What is the derivative of -8 + 0 + 9 + t - 21*r**2 wrt r?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196\/171 - 26\/19. Let h = -5 + 3. Let w = -390.8 + 391. What is the biggest value in w, h, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 16\/75041.\nAnswer: 450246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -9. Let y(t) = -3*t**2 + t**2 + 9*t**h. Let u(m) = -2*m**2. Give u(y(a)).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a + 150. Let z be h(0). Let n = z + -59. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28270558.1 rounded to the nearest ten thousand?\nAnswer: 28270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 15*l**3 - 3*l - l**2 + 6*l to f + y*l**3 + v*l + w*l**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j - 228*j - 55924 = 973*j for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -50. Suppose 6*s - 2*s + 5*j = -1, 3*j + 7 = -4*s. Which is bigger: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + 1000112010101?\nAnswer: 1000112002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.1, -56, 3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhdafaahfafaaf. What is prob of picking 1 h and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2411191 by -1.\nAnswer: 2411191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 3. Suppose -y*f + 5458 = -f - s, 3*f = 4*s + 5443. What is the common denominator of f\/(-168) + 4\/(-14) and 71\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 45\/577?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -25*x**3. List the prime factors of u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 less than or equal to -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -372, -1, -47, 0, -8 in descending order.\nAnswer: 0, -1, -3, -8, -47, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2032510, -2032511, -2032512, -2032513, -2032514, -2032515?\n\"Answer: -w - 2032509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - (1 + -1). Suppose -2*j + 0*j = -4. Let m be j*-1*(7 - 6). Which is the closest to -1? (a) w (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/396 and -59\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 2405207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5288220 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(17))**2*-4.\nAnswer: -4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*h - 758 + 308 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7\/5)\/d*d*d)\/(d**(-10)\/d))**(6\/23) assuming d is positive.\nAnswer: d**(318\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-18)\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-342)\/(-4) + (-2)\/(-4). Suppose -5*r - 4*f = -213, -2*f = 5*r - 3*r - o. Let y(t) = -1035*t - 6195. What is the remainder when r is divided by y(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7299770, 7299771, 7299772, 7299773, 7299774, 7299775?\n\"Answer: x + 7299769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(36 + 4) + (-5)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2 + 2)*(-2*n + 3*n + 0*n) - n + 0*n**2 - 2*n**2 + 1 + 3*n**2 + 2*n**2 + 2 - 2.\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/394, -0.121, 1\/55, 0.2?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/632 and -18\/79.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40522*g**2 - 13504*g**2 - 13506*g**2 - 13511*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-69)*9*(442\/(-17))\/52.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1.22.\nAnswer: 0, 1, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v + 2*v - 385 + 365 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b - -a2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -3\/5 (c) 202668 (d) -0.26 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**5)\/s)**1*(s**3)**(3\/8) assuming s is positive.\nAnswer: s**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.4 + 127.6. Let u = x + -109. Which is the nearest to 0.1? (a) -5 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13896, 13861, 13822, 13779?\n\"Answer: -2*w**2 - 29*w + 13927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 3. Let p(w) be the second derivative of -w**4\/2 - 4205*w. Determine q(p(l)).\nAnswer: -6*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsz when three letters picked without replacement from zrfwzfzffsrw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7581 and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5+-1.3192\nAnswer: 3.6808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 3069.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104897978 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3407 + 3407.04514. What is t rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1973189 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0 + 0 + (1 + 1 - 4)*(0*p - p - p) - 1 - p + 1 + 3*p - p - 3*p - 7*p + 62 - 82 + 62.\nAnswer: -3*p + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11020 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 - 12*s - 13. Let k be d(-4). Solve 0 = 4*z - 4*c + 18 + 6, -2*z - 16 = -k*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -517, -517, -523, -541, -577, -637?\n\"Answer: -o**3 + 3*o**2 - 2*o - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 929 - 813. Calculate the remainder when n is divided by 65.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/(39\/6344). Let k = p - -12. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(22\/(-44)) - -26. Suppose l - r*l = -6630. What is the remainder when l is divided by 85?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u + 12. Let h(c) be the third derivative of -c**4\/6 + 2*c**3\/3 - 287*c**2. What is h(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (74 + -5 - 28) + -33?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1 - 10)\/1. Let t be ((-413)\/(-4))\/((-3)\/a). Suppose -4*o + 2*i = -t + 87, 5*i = -o + 98. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(35\/(-20)))\/(6\/21). Which is smaller: -37 or y?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/20*(-140)\/(-42)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15905 or 15906?\nAnswer: 15905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3800*a*u**3 - 1256852*a + 4815*u**4 + 297 wrt u.\nAnswer: 11400*a*u**2 + 19260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - -2236?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*b = 3*b - 3, t - 9 = 4*b. Let o be (t - -1) + 1 - (-6)\/2. Factor -4\/11*a - 2\/11*a**o - 2\/11.\nAnswer: -2*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000648601 to six decimal places.\nAnswer: -0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 42*f**2 + 119*f - 90. What is z(39)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -399 divided by -57\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/6*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 2649*t**2 - 172740*t - 175392 = 0. Calculate t.\nAnswer: -1, 72, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3047081343?\nAnswer: 3, 17, 59746693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 23. Let a be z(13). Suppose -3*x - 5*s = -20, x = 18*s - 13*s. Solve -5*q - x*b = 0, 2*b + a*b = -3*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 5. Suppose 4*v + 5*h - 31 = 0, -m*h + 27 = v + 2*v. Calculate the smallest common multiple of v and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let z(c) = c**3 + 6*c**2 - 21*c + 6. Is 12 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72258 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/4*(-29)\/174?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, m: 7, o: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77789 is divided by 38890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1489*r**3 - 2977*r**3 + 15*r + 1493*r**3 + 17*r**2 + 4*r**4 - 15*r**2 + 3 to w*r**2 + v + j*r + t*r**4 + s*r**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 33 + 31 = 0. Suppose 0 = -3*a - 2*c + 46, 5*c + 3 + h = 0. Suppose 557 = -a*f + 2717. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119437797 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_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: In base 2, what is 1001001001001100 + 111011?\nAnswer: 1001001010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427286, 853737, 1280188, 1706639, 2133090, 2559541?\nAnswer: 2985992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153500, 153632, 153770, 153914, 154064, 154220, 154382?\nAnswer: 154550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 - 275*m + 154. What is c(55)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-112)\/36 + (-518)\/(-126). Solve 0*z - z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10194*x + 9079*x - 6*x**2 + 1115*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35470345727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 42*o**2 + 22*o - 1001. Determine j(42).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4757703 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + (-225)\/21. Let l = z - -20. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*a - t - 8, -4*a + 5*t - 8 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 316721526?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15517, -15740, -16273, -17272, -18893, -21292, -24625?\nAnswer: -29048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((3 - (20 - 11)) + 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54. Suppose m = -4*h - 2 + 10. Let y(l) = -4*l**2 + 3*l**2 + 0*l**h - 1 - 4*l**2. Calculate y(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from {u: 2, h: 8, k: 2, n: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 169, 174, 179, 184, 189, 194?\n\"Answer: 5*n + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/259887708 and -37\/375696?\nAnswer: 1039550832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*a + 2232 = 271*a - 3774 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mys when three letters picked without replacement from ymqjjsm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 172. Let v = -110 + t. Determine l so that 4*l**3 + 16*l + 11*l**v + 8*l**2 + l**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/6 + 10*j**2 - 8*j. List the prime factors of f(17).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 4. Let q be v(3). Let m be -4 + (2 - 0 - -5). Let o(s) = -2*s**2 + 30*s - 90. Let l be o(11). Sort m, l, q, 0 in increasing order.\nAnswer: l, 0, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6468 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1057 (base 9) to base 16\nAnswer: 30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8173565 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/6 - 5*x**2\/2 - 29*x. What is b(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(6\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*4*sqrt(176)*-1*6*1 + -5.\nAnswer: -5 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1002?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35145497, -35145495, -35145493, -35145491?\n\"Answer: 2*o - 35145499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9351 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -7)\/(-9)*(-1 + 1). Solve t = 4*j - 7*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1011*-0.04\nAnswer: 0.044044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 947, 951, 955?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 20*m - 2*m**3 + 32*m + 10*m**4 - 12*m + 0*m**3 as u + s*m + t*m**3 + h*m**2 + x*m**4 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232216377?\nAnswer: 3, 271, 285629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 324?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 204*g**3 + 1340*g**2 + 26700*g + 77000 = 0. What is g?\nAnswer: -55, -5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:09 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v. Let g(c) = -c + 12. Let x be g(v). Let s(w) = w - 18. Let p be s(24). Calculate the greatest common divisor of x and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589 + 592. Solve 5*g - t + z + 1 = 0, 5 = -5*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*o + 2. Let m(j) = 411*j**2 - 38*j + 122. Let w be m(7). Suppose -o*k = -w - 17105. What is k rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p + z + 4, 4*z = -2*p + 18. Let b(o) = -95*o + 19. Let s(q) = 95*q - 27. Let m(h) = -3*b(h) - 2*s(h). What is the tens digit of m(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 - 108. Suppose 5*z - 4*j = k, 31 = 4*z - 4*j + 7. Solve 3 = -f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0886 - 0.4556. Let o = z - 0.033. Sort 1, -3\/7, o, 0 in increasing order.\nAnswer: -3\/7, o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -p, -4*c + p + 4 = -2*p. Let d(g) = 2*g + c + g - 6*g. Let o = -1741 + 1742. Let i(a) = a - 1. What is o*d(f) + 2*i(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 d when three letters picked without replacement from aaaadogvqaa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:19 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90683 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5425424858 to the nearest integer?\nAnswer: 73657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**5\/55 - 9*z**4\/11 - 186. Solve n(b) = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.137 - 21.137. Let t = 0.1572 - 21.0472. Let v = t - a. Sort -0.1, v, 1 in ascending order.\nAnswer: -0.1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Suppose -3*m - 4*x + 58 = x, -37 = -2*m - 3*x. Suppose 9 = u*w - m. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 3\/((-6)\/44). Let i = 29 - x. Let y be ((-13)\/(-741))\/((-2)\/i). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, 2\/5, -4, -1.114?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 13*r**2 - 12*r + 11. Let j be h(-12). Find the second derivative of 6*l**4 - j + 4 - 6*l + 7 wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(0\/1 - -2). Let j be (-172)\/(-20) - g\/10. Let x(n) = -n**3 + 9*n**2 - 7*n + 1. What is the units digit of x(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -1*sqrt(91))*-3)\/sqrt(7) - (-5 + sqrt(637) + -1) - 3*((1 + sqrt(1872) + (sqrt(13) - (sqrt(156)*-1)\/sqrt(12)))*-5)**2.\nAnswer: -191169 - 2107*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b89126 (base 13) in base 9?\nAnswer: -8133284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20210002200 (base 3) to base 8.\nAnswer: 404547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from lvuhyvllyvlhvyll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8*o = 15. Suppose 29 = 3*z + o. Solve -3*v + 5*p = -z*v - 45, 0 = -4*v + 5*p + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 4*k**2 - 2*k - 3. Let y be g(-4). Let q = 7\/8 - 51\/40. What is the nearest to q in -2, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h + 2. Let x be g(-5). Let i = x - 72. Let j(q) = 4*q - 4*q**2 + 15*q**2 - 4*q**2 + 7 - 8*q**2. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:28 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72.53782ml?\nAnswer: 0.07253782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 78. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 31.7464055868 and 0.1.\nAnswer: 31.8464055868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, o: 3, v: 3, p: 2, w: 3}. Give prob of picking 2 p.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -782, -1182, -1582, -1982, -2382?\nAnswer: -2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t = 0, 2*c - 18 = -4*t - 4. Let p(v) = 28*v**2 - 2*v - 2. Does 7 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 17 = -9. Let i = -873 - -874. What is the second biggest value in -2, s, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(704))*5)**2 - ((5*(sqrt(110) - ((sqrt(110) - sqrt(110)*-1) + sqrt(110) - sqrt(110))))\/sqrt(10) + -4).\nAnswer: 1205*sqrt(11) + 17829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2724.377 + -2709.9. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x - 1. Determine q(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 2}. Give prob of sequence nnaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - g**2 + 0*g**2)*(-17 + 7 - 9)*(0 + 1 - 2) to the form d*g**2 + o + q*g and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:41 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 4 + 7. Suppose -5*k = -2*k - j. Suppose -15 = -c - 4*f, 195 = 8*c - k*c - 4*f. What is the highest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 697430?\nAnswer: -697431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10988 - -11035. Solve 53 = -2*f + o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 + 2. Let w(l) = 4*l**3 + 9*l**2 + 12. Calculate 6*g(u) - w(u).\nAnswer: 2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h**2*q**3 - 135*h**2 - h*q**2 - 2*h*q - 4*q**3 wrt q.\nAnswer: 66*h**2*q - 2*h - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = t + 2, 3 = 3*t + 4*m + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 620*q**2 + 601*q - 19 = 0. Calculate q.\nAnswer: -1, 19\/620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - x - 13097 = 0, 5*x - 7869 = -3*g + 2*x. Suppose 0 = -25*f + 15*f + g. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360047549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 9*f - 32. Let b be j(-14). Suppose 0*u + 2*u + 2*p = 220, -2*p + 4 = 0. What is the common denominator of -109\/10 and (b\/u)\/(10\/(-6) + 2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 9 = 21*k - 24*k, -2*k = -5*c + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {i: 1, p: 1, r: 1, x: 1, e: 2, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 22. Suppose 2*m + 4*z + 8 = 0, -3*m = 8*z - 13*z - 21. Solve k = 2*l, f - m*l + 18 = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 4*q**2 + q**2)*(q**2 + 1 - 2*q**2 - 2*q - q**2).\nAnswer: 2*q**4 + 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 3. Let z(h) be the second derivative of -5*h**4\/6 - 259*h - 4. What is x(z(c))?\nAnswer: -60*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -23*o**3 + 10*o**2 + 14*o + 5. What is the lowest common multiple of 270 and c(-1)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*a**2 + 230*a**2 - 5 - 78*a**2 - 79*a**2 as g*a + n + q*a**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*t + 0*t = 4, -6 = -2*i + 3*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 + 544*o - 1650 = 0.\nAnswer: -275, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20102021020122 - -200?\nAnswer: 20102021021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 2. Let l be k(-2). Suppose -12*i + 204 + 36 = 0. Suppose 4*p + l*z + i = 0, -3*p + 7*z - 3*z = -13. Which is greater: 1\/9 or p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 4 - 4 + (-6 + 0*l**5 + 4 + l**5)*(3 - 1 - 3).\nAnswer: -3*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let d(x) = -3*x + 3 + x**2 - x + 5*x. What is d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -804 or -799?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5238*p = 5722*p + 8712 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**2 + 1. Suppose -2*t = 4*n + 6, 6*t + 12 = 2*t + 5*n. Let i be -5 - (12\/(-36))\/(t\/(-54)). What is p(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*t**3 + 8*t**3 - 170*t**3 - 501*t**3.\nAnswer: -589*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + ((sqrt(2) + sqrt(4)\/sqrt(2) + -4)**2 - sqrt(2)) + 1).\nAnswer: -34*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -681, -1332, -2243, -3414?\nAnswer: -4845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*k - 65 = 0, 4*r + 26*k - 27*k - 70 = 0. Let z(j) = j**2 - 13*j + 66. Calculate z(r).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 1, 5 in ascending order.\nAnswer: -4, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918133, 1836144, 2754157, 3672172, 4590189, 5508208?\nAnswer: 6426229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 948911.288 minus 134039?\nAnswer: 814872.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/24 + (-7)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/9 + 6880*i**4\/9 + 1958432*i**3\/3 - 71525344*i**2\/9 - 23501216*i\/9 + 95330432\/3 = 0. Calculate i.\nAnswer: -1726, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**2 + 0*t**3 - 2 + 4*t - 1\/2*t**4. What is the first derivative of k(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 + 731 - 384 - 123*p**3.\nAnswer: -123*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/2)\/(q\/((q\/q**(-2\/15))\/q)*q*q*q) assuming q is positive.\nAnswer: q**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121 - 13*z + 121)*(-z**2 - z**2 + 5*z**2) to s*z**2 + h*z**3 + a*z + q and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 * -12.\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 838 + 1 - (3 - 2). Is (n\/4)\/(4\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 6*h - 6*h + (0*h + 3*h - h)*(-4 + 1 + 2))*(0*h + 0*h - 2*h) to s + a*h + z*h**2 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.397 - 0.097. Let y(f) = -8*f. Let s be y(-1). Let t be (-8)\/21 + s\/(-28). Which is the closest to -4\/5? (a) p (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -49\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3205, -3043, -5 in ascending order.\nAnswer: -3205, -3043, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 66. Let c be (-378)\/(-28)*4\/t. Let w be (9\/c)\/(1\/(-8)). Solve -5*i = -0*i - q - w, 7 = 2*i + 5*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 6 - (92 + -25 + 15 - 23)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 + 2*i**3 - 20*i**2. Let r(w) = -w**2 + 6*w - 3. Let v = -4 - -8. Let l be r(v). Determine f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - -40) + (-8 - 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 285.5 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17309 + -15671. What is the highest common divisor of o and 1053?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 - (-14031072)\/(-4304). Suppose 22841 = 3*q - 10*q. Let o = q - w. Is 0 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110120, -110185, -110250, -110315, -110380, -110445?\nAnswer: -110510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 8. Let c = -30 + q. Solve n = c*t + 3*n + 19, -4*t + 2*n - 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 98*f - 1960. Let i be n(20). Solve -4*s + 8*s + 12 = i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/10*((-2)\/(-8))\/((-669)\/1784)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1847363\/186 + -9932. Calculate the common denominator of f and -31\/2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2242 (base 10) to base 11.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/84708 and 19\/54.\nAnswer: 254124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-165 + 160)*-3*(-4)\/(-30). Suppose 0 = 2*v - 7*v + 3*s + 26, s - 31 = -4*v. Solve w + l = v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 16*p**2 + 3. Let a be k(-16). Suppose -4*f = -a*f. Let y = 53 + -1063\/20. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690766.66 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 2104. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7729 and 0.24.\nAnswer: -1854.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12972 divided by 1081.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (185*(-2)\/2)\/(2\/(-22*(-8)\/220))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0 - 5\/12*r**4 + 0*r**3 + 8*r + 0*r**2. Let d(q) = 2*q - 2 + 2. Give w(d(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*f + 5*f + 3, 5*j + f = 11. Let x = -1 + j. Is 7 + 1 + 2\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -17*k**7\/840 - k**6\/120 - 8*k**3 + 8. Let d(r) be the third derivative of s(r). Find the third derivative of d(x) wrt x.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {d: 1, j: 4, s: 4, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*k - 122 = -17, 4*k = -20. Let w(g) be the first derivative of 12 + 19*g + g**2 - o*g. Let c(i) = 6*i. Calculate c(w(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 2439 - 20724. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 262, -1\/13?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 2. Let u(l) = 15*l + 33. What is -99*c(d) + 6*u(d)?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-305890)\/(-181))\/13)\/((-6)\/(-1))?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7814539 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0909*0.5\nAnswer: 0.04545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 - -2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/91)\/(2109\/54834))\/((30\/28)\/(-5))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -150776631 equal to -150776629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*w - 274 - 200 = 73*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = k, 4*z - 972 = 2*k. Suppose -14 + 4 = -2*l, -2*l = 5*j - z. What is the units digit of 4 - ((0 - j) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:45 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + 223?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/12 + 7*m**2 + 119*m. Let j(z) = -z + 3. Let q(d) = 4*d - 14. Let i(b) = -14*j(b) - 3*q(b). Give h(i(w)).\nAnswer: 4*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12462*o = -12430*o + 480 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 + -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*u, 11 = -b + u + 3. Find the common denominator of 37\/2 and 0\/(-13) - (-101)\/b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - 60)*(-4)\/5. Suppose -5*o + 0*o = -60. Let d = 26 - o. Calculate the greatest common divisor of s and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*v - 4*v. Suppose -3*a - v = -29. Solve -2*w - a = 2*w + 5*s, 0 = 2*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2690 and 2690 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354982*m + 16 - 2*m**3 - 1354982*m + 20.\nAnswer: -2*m**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204098\/13 - 15700. Suppose 0 = -3*g + 6 - 18. Let k = g + 7. Sort -8, c, k in increasing order.\nAnswer: -8, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let s(p) = 2*p + 12. Let l(n) = 8*b(n) + s(n). Suppose 0 = -3*w - 2*w - 20. Let d(h) = -2*h + 2*h + 3*h + 5. Calculate w*d(f) + 5*l(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:15 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + -5 - (-5 - 3 - -22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 955 * -135.\nAnswer: -128925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -490 < 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, -107, 5, -137 in ascending order.\nAnswer: -137, -107, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-9))\/z)**(-2\/33) assuming z is positive.\nAnswer: z**(14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 17. Calculate the remainder when 116 is divided by 32 - (-6)\/3 - t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/6*(-65 + 67). Let h be 63\/(-14)*(-4)\/9. What is the second biggest value in -0.3, -0.04, h, i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1134*k**2 - 510*k + 556 - 556 + 1231*k**2 - 902*k**2 wrt k?\nAnswer: 2926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t**2 + t**2 + (-3 + 3 + 1)*(-t**2 + 2*t**2 + t**2) + 19*t**2 + 9*t**2 + 10*t**2 + (4 - 4 - 2*t)*(-5*t + 5*t + 2*t).\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160983967 or 160983968?\nAnswer: 160983967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -459, -1030, -1829, -2856?\nAnswer: -4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*t**3 - 4*t**3 + t - 41*t**3 - 65*t wrt t.\nAnswer: -450*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 8352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:16 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momoheoeceheohq. What is prob of picking 3 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78344339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2034 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 5*n = 50*k - 15, -k = -5*n - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f + 16. Suppose -59 = -4*i - 3*m - 7, m + f = 2*i. Suppose 2*g + 15 = h, -8*g + i = -6*g + 4*h. What is the second biggest value in 1, -73, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8684024ns to hours.\nAnswer: 0.000000000001352334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/f**(-9\/4))*f)\/f))**(-31))**(-13\/2) assuming f is positive.\nAnswer: f**(5239\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 6. Suppose -10 = -g - 5. Suppose -3*c = g*u + 33, 5*c + 3 = 2*c. List the prime factors of b(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15292*q + 15292*q - 35972*q**2)*(2*q**2 - 3*q**2 + 2 - 4)*(0 - q + 0).\nAnswer: -35972*q**5 - 71944*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25c (base 13) in base 15?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 732, -3, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 19*c**2 + 5*c + 107. Give t(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 610*a - 17160.\nAnswer: -5*(a + 44)*(a + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49.1 - -7. Is x less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0152 + 0.0098. Round u to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165865, 2331747, 3497629, 4663511, 5829393, 6995275?\nAnswer: 8161157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:42 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-6) - 1)\/1. Solve -v - 2*l = 2*l + j, 0 = -3*v - 4*l + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 16*x + 270 = 0. Let t = x - -147. Solve 4*z + 0*z = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4231972 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 579 - -26?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 44402 = y, 4*y - y - 29594 = -2*w. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -16*h**2 + 4*h + 3. Determine v(-3).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y. Suppose 89*b + 126 = 71*b. Let t(j) = -8*j. Suppose -58 = -9*c - 4. Determine b*s(o) + c*t(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -9.9. Let i = o - 4.9. Let k = i - -5.5. What is the biggest value in 2\/5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115212847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 219*y - 215*y + 3*t - 11, -2*y = -4*y - 2*t + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**4 - 3245185*r**3 + 4429297*r - 1 wrt r.\nAnswer: 108*r**2 - 19471110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from kddddddddddddkdkdddk.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -1 (c) -2 (d) 5 (e) 4\/9 (f) -182\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -44, 0, -1.2, -7 in descending order.\nAnswer: 5\/2, 0, -1.2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351101 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14\/195?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -10232104?\nAnswer: 10232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4819, -19225, -43231, -76837?\nAnswer: -120043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5772 and 1443.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 - 2165*c**2 + 2165*c**2 - 5 + 5.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012368836 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -3.02. Let l = -0.93 + 1.93. What is the third smallest value in p, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 663\/13 - 2*-1. Suppose 0 = j + r - 0*r - m, -4*j - 2*r + 208 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*j + 3*c, -4*j + 0*c + 2*c + 136 = 0. Let u = j - 32. Let l = u + 6. Let i(n) = 2*n - 1. Give i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 13. Let d(u) = -u**3 - 5*u**2 + 7*u + 9. Let i be d(-6). Suppose 0 = -p*h + i*h + 5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6231 - 27\/(2 + 7).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/270 - 23*o**4\/54 + 529*o**3\/27 - o**2 - 19. Factor g(p).\nAnswer: 2*(p - 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -2\/11, -3.239, 0.4, 5?\nAnswer: -3.239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z + 1 = 28*z + 34*z. Which is the third biggest value? (a) 0.4 (b) -2\/13 (c) 2 (d) z (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 46. Let n be w(-15). Let b = n + 38. Put 4, 3, -2, b in ascending order.\nAnswer: b, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 118*w - 605. What are the prime factors of p(-88)?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 560319 - 7857975\/14. Let m = -964 - i. What is the common denominator of m and 61\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (27 + -176) - (-1 + -16).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1160 and 120.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 10. Suppose 0*s + 5*n = s - 13, -2*n = 5*s - 11. Let x = j - s. Solve -x*d + 10 = 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/(-210))\/(6\/5))\/(861\/(-20664))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 407.5 * 3.72419.\nAnswer: 1517.607425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -54. Let z = u + -62. Suppose -z*h - 9 = -7*h + b, -2*h + 5*b = 7. Solve -11 - h = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 4*m - 3*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166064883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 3253*o + 0*o**3 + 3*o**3 - 27*o**2 - 3283*o + 3.\nAnswer: 3*o*(o - 10)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -662 - -338. Let f = r - -426. What is f rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1112 + -1073. Calculate the remainder when 158 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3579 + -21409\/6. Let m = 16 + 16. Calculate the common denominator of m\/(-24)*62\/12 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 49. Let q be (-8)\/(-2) + (2 - n). Let z be 2 - 1\/(-2)*2. Solve -5*a + 7 = 2*x + 3, q*a + 1 = -z*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - f + 17 = 0, s - 3*f - 2 = -3. Differentiate 198*x**3 - s + 211*x**3 - 424*x**3 + 2*x + 0*x with respect to x.\nAnswer: -45*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 - 8*y - 8. Suppose -17*l = -19*l - 12. Let n be w(l). Solve 0 = -n*q - 2 + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/1330, 7, 3\/7 in descending order.\nAnswer: 7, 3\/7, -31\/1330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782429033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1025 at most 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2\/3, 0.24, 2\/21, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55401853*b + 55401853*b - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.76 + 47. Let k = -1.24 + v. Let x = k - 4. Which is the closest to 5? (a) -0.4 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3615231 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k - 4*p - 141, 114 = 4*k - 2*p. Suppose 2*c = c + k. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229100119 divided by -1957.\nAnswer: -117067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 87 = -2*v + 9, -s - 142 = -3*v. Let f = v + -7. Suppose -f*j + 37*j = -300000. What is j rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633023483 to the power of 1\/3, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.26964 nanograms to milligrams.\nAnswer: 0.00005326964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102296, -409186, -920670, -1636748, -2557420?\n\"Answer: -102297*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 11615 = 5*i, -5*i = 5*s - 1857 + 13482. Which is greater: i or -2319?\nAnswer: -2319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 1124*g - 315844.\nAnswer: -(g - 562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrphuugrpphhphhuupu. Give prob of sequence puvp.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:02 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 209 + 209 - 40*h**2.\nAnswer: 5*h**3 - 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49916511 a multiple of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -212, -225, -254, -305, -384, -497, -650?\n\"Answer: -m**3 - 2*m**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(5)*-4 + (-2*sqrt(5)*-1 - (sqrt(20) + -2 - sqrt(5))))**2 - ((2*sqrt(405) - sqrt(405))*2 + -3*sqrt(405) + 0).\nAnswer: -67*sqrt(5) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -915 - -913. Suppose u = -0*u - 360. Let b be (-2 - (h + u))*(-12)\/18. What is b rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**4 + 21017*l + 2*l**2 - 2*l**3 - 21026*l + 24*l**4 in the form s*l**4 + k*l**2 + q*l + a + m*l**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/900 and -35\/481256.\nAnswer: 108282600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/40 + (4 - 18\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10364625 by -3454875.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.16736, 54, 2\/13 in ascending order.\nAnswer: -0.5, 2\/13, 0.16736, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*x - 58. What is the second derivative of -991 - 2*d - x*d + 992 + 2*d**5 wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j**3 + 4*j**2 + 4*j - 4. Let r(g) = -141*g + 3385. Let f be r(24). Let c(z) = -z**2 - z + 1. Determine f*s(l) + 4*c(l).\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -430 divided by 1930925\nAnswer: -86\/386185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 5802*i**2 + 2905*i**2 + 2936*i**2.\nAnswer: 39*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 1 (b) 657 (c) -2\/7 (d) 0 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08388803 - -0.08384. What is c rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z = -6*y + 29*z + 111477, -2*y - 3*z = -37157. Does 78 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, 1, 1\/2, -232, 201636?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let x = -2 + h. Let v = x - -2.0000002. Round v to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*z - 166*z - 44 = -2*w + 160*z, 4*z = w + 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -25*r**3 + r**2 + 3*r + 2. What is b(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46666828319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 + 2*a + 10. Let b(z) = -6*z - 5. Let t be b(-2). Let h(y) = y**2 + 3*y + 4. Calculate the smallest common multiple of u(t) and h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.071 and -5921777.\nAnswer: -420446.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6 - 6. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**4 - i + i)*(-33 - 30 + 100) - 3*i + 3*i - i**4.\nAnswer: 221*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 29 = 3*n + 2*i, -5*n = -5*i + 35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 3555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 + 9*x - 14. Let d be v(-6). What is the third derivative of 52*z**2 + 52*z**4 - 49*z**2 - 17*z**d wrt z?\nAnswer: 840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1672 + 1671.9. Let z = -34.1 - -36. Let p = 1 - z. Is p bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {u: 3, p: 5, d: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5\/5 - 11793*z**4\/5 - 3092874*z**3\/5 - 21249582*z**2\/5 - 45262323*z\/5 - 5418765 = 0.\nAnswer: -3649, -275, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007324 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-24)*(-4)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 9906570*w - 4907006458245.\nAnswer: -5*(w - 990657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.5 (b) -1\/5 (c) 0.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/172 and 61\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z**2 + 1728*z + z**2 - 1729*z. Let w(p) = -4*p - 2. Give -2*r(d) + w(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmjmlllwllmllljwmw.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 68. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**2 - 38*n - 119 with respect to n.\nAnswer: 8*n - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -38 + 10 + 0 + -1 + 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509345?\nAnswer: 3, 5, 17, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11977 or 22?\nAnswer: -11977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:33 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235340, 470682, 706024, 941366, 1176708, 1412050?\nAnswer: 1647392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -495.649072 to one decimal place.\nAnswer: -495.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/21, -252, -52 in descending order.\nAnswer: 4\/21, -52, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -455028 + 304028. What is k rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33524 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 87 - 33 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 29 + 16. Let s = -70 + 58. Let k(w) = 2*w**2 + 27*w + 36. Let q be k(s). Solve c + 2*c + b = q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10705021 and 13642.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9547*o**2 + 35*o + 31. Is n(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = -3*o, 0 = 2*a + 4*o + 6. Let n = -46 - a. Let y = -6 - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*f - 17 = 0, -3*f - 2*f - 56 = -2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -314, 5, 3, 1 in descending order.\nAnswer: 21, 5, 4, 3, 1, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. Let p = 1 + m. Let o(r) = -4*r + 1. Does 13 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -194, -326, -546, -884, -1370?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*v - 154, -z + 3*v + 160 = v. Let r = 342 - z. What is the greatest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*x - 781*x + 3*s = -190, 7*x - 3*x - s = 152 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 75 - 85 - 26*u**2 + 31.\nAnswer: -26*u**2 + 8*u - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 25 = k. Calculate the remainder when 28\/((-60)\/(-10680)*(1*8 + 0)) is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -54, -59, -64?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 48875.\nAnswer: 439875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.84 + 0.24. Let d = z + 8.6. Let u = -8 - 22. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 2*q**2 + 136 + 4*q - 4*q.\nAnswer: 2*q**2 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 40*i - 126. Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/10 + (-4)\/20. Suppose m + c*g = -m + 10, g = -4*m + 14. Suppose 6 = w - 4*o, -m*w + 2*o + 9 = -o. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 93?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1095185594*k**3 + 11*k**2 + 10750265 wrt k.\nAnswer: 6571113564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) -5 (c) 40\/19 (d) -14\/13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 1, h: 3}. Give prob of sequence kkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 155313747 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9344071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133189765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/611 (b) 0.05 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18119604 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8855.851g to micrograms.\nAnswer: 8855851000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 48348336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-11))\/((-22)\/121). Factor -65*f**w + 837*f**2 - 801*f**2 + 8*f + 21*f**3.\nAnswer: -4*f*(f - 1)*(11*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*3*-2)))\/(-2*sqrt(33)\/sqrt(3)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 18\/42390607?\nAnswer: 18\/42390607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 120, 5, 1, -5, 202.\nAnswer: -5, -2, 1, 5, 120, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j**2 + 4*j + 4. Let k = 2 + -6. Let g be z(k). Suppose g*o**2 + 1 + 2*o + 8*o**4 - 1 - 14*o**3 = 0. What is o?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (166\/(-34) - -6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 + -294. Find the second derivative of 103*m + 4 + 60*m**2 + 60*m**2 + t*m - 4 wrt m.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 - -192. Solve p*w + 5*t = 9*w, t = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 51 - 40 - 29 as p + c*n and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615593767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3265, 6543, 9823, 13105, 16389?\nAnswer: 19675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/41))**(-46))**(-2\/19) assuming k is positive.\nAnswer: k**(-184\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21007?\nAnswer: 7, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(1539)*4 + -5 - (-3 + sqrt(1539) + 2 + 0 + -2 + sqrt(1539)))**2.\nAnswer: 936*sqrt(19) + 1040368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/1352*39\/8*4\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - f = 0, 9*k = 8*k + f. Solve 3*z + 6*z + 18 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/40400 and 53\/28280?\nAnswer: 282800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419.0046 - -0.0046. Let m = 419.05 + f. Put -3\/10, m, -4 in decreasing order.\nAnswer: m, -3\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1547 = -s - 4*s, 2*m - 6 = 0. Let c = -193 + s. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 90.1. Let k = -16 + l. Let y = k + -1.5. Which is the nearest to 0? (a) -0.03 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 11) to base 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 33870*y**3 - 4764171*y**2 + 168591204*y.\nAnswer: -3*y*(y - 11148)*(y - 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from sdbdpzhbbshhhdd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28792 and -0.9.\nAnswer: 28791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002695 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:48 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 22*j - 11. Give f(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4 + 8 + 9*b + 3. Let v(d) = -d + 5. Let j be v(7). Let i(l) = 4*l - 3 + 4 + 2. Give j*u(n) + 5*i(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h**2 + 1)*((4 + 2 - 4)*(-14*h + 3*h + 6*h + (0 - 1 + 0)*(2*h - h - 3*h) + 3*h + 2*h - 3*h - 2*h + 3*h - 2*h) + 0 + 0 + 3*h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313604 is divided by 297?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10ab6b (base 12) to base 2.\nAnswer: -1000001011000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575909 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 + 446*l**2 - 4810. Factor s(k).\nAnswer: -k*(k - 892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*b - 496*b + 555*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 812 = -130 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 13*y - 36. What is the least common multiple of z(-6) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/((3*(-2)\/(-50))\/(2080\/416))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5005046 and 1208.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13282074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/60 and 65\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -10 (c) -2 (d) -1 (e) -551\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let u = 2 - i. Suppose 5*b + 1 - 17 = -2*c, -4*c + u*b + 2 = 0. Solve -c = 3*a + 3*l, 0 = 2*a - l - 4 - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/22))**42 assuming u is positive.\nAnswer: u**(483\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 + h - 1. List the prime factors of z(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -17, 0.786, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 429)*(-56)\/84. Suppose c = 3, s = 11*c - 13*c + q. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*z**3 - 392*z**3 - 4*z + 194*z**3 + 0*z**4 - 4*z**4 + z + 11 - z**2 to the form l + j*z**2 + i*z + o*z**4 + n*z**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 + 7.051. Let s = -10 + f. Which is smaller: 2\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283508?\nAnswer: 2, 17, 33581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. Let f be s(2). Let p = -4 - -4. Suppose f = c - 4 - p. Which is bigger: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*z = -4*z + 30, -3*x = -2*z + 16. Let g(s) = -3*s**2 + 9*s. Let n(k) = -k**2 + k - 1. Let h(y) = x*n(y) + g(y). Does 6 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, g: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1.4, 11, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 850 divided by -15855\nAnswer: -170\/3171","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 221\/7980 and 31\/42?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 + 3440*h**4 + 125029*h**3 - 2995722*h**2 + 19466892*h - 40427640 = 0.\nAnswer: -3403, -55, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**2\/2 - 1. Let b(o) be the first derivative of -5\/2*o**2 + 246 + 0*o. Calculate y(b(u)).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17160*f*w**3 + 2151*w**3 wrt f.\nAnswer: -17160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:01 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5947 + 8573. Suppose -5*p + 229 + y = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602768.\nAnswer: 2, 101, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*v = 21*v. Let f(g) be the first derivative of v*g**3 + 0*g**4 - 3 - 4\/5*g**5 + 3*g**2 + 0*g. What is the second derivative of f(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 11*n - 10*n - n - 4*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17502501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377775 and 2555.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctttcvccmmccctj. Give prob of sequence cmm.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6482*q + 4*q**4 - 12*q**2 + 6484*q - 8*q**2 - 2*q**4 in the form k*q**4 + v + d*q**2 + f*q**3 + r*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 + 2771.\nAnswer: 2771.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5*d + 3)*(2 - 4 + 4) + d - 4*d + 2*d + (2 + 1 - 2)*(0*d + 3*d - d) + d - 2*d + 2*d as i*d + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108 = 4160*h - 52028 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -30, -26, -10, 24, 82, 170, 294?\n\"Answer: d**3 - 3*d**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2886 - -756\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12523*m**6 - 9*m**5 - 8537*m**2 + 1632*m?\nAnswer: 1502760*m**3 - 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 20217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-3)\/7 - (-1026)\/(-399)). Solve -31 = -4*f + k*d - 7, 0 = 3*f - 5*d - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49161\/8 - (-97)\/(-776) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/4, 3, -4 in decreasing order.\nAnswer: 19\/4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/3 - 155\/24. Let v = o + 1861\/360. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:04 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -44707 (base 9) to base 4\nAnswer: -13100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254610 divided by 84870.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.42 from -16.3.\nAnswer: -15.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 13. Let z be u(2). Which is the smallest value? (a) 0 (b) 0.7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 2991*i + 268714. Give u(-96).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llss when four letters picked without replacement from {q: 2, l: 6, s: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + x + 31 = -2*t, 0 = 4*x - 4. What is the units digit of (12\/t - 1)*188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = f - 10. Let k be (-51)\/12 - 2\/(-8). Let x = k - -10. Solve -2*m - 4*t - 22 = 0, t - 4*t = -f*m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/3)*q\/(((q\/(q\/(q*q**(-5)\/q)))\/q)\/q)*(q\/q**1*q*q)**(-46) assuming q is positive.\nAnswer: q**(-250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1a?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4446, 8891, 13336, 17781, 22226, 26671?\nAnswer: 31116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 260.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:15 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:36 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106631656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10403976 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*8\/(-6) - -2. Let h(d) = 3*d**3 + 6*d**2 + 10*d + 2. Let m be h(-1). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -2*q + 46 = -n*o, 2*o = -2*q + 6*o + 48. What is the units digit of 72\/q + 4\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 72925*d - 28432936 = 0.\nAnswer: 392, 72533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22547\/12 - 1871. What is the common denominator of 4\/(24\/(-245))*((-37)\/222 - 140\/(-975)) and o?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8383871 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/(w\/w**(1\/33))*w*w))))**41\/(w**14\/((w\/((w*w\/w**(-19)*w)\/w))\/w*w)) assuming w is positive.\nAnswer: w**(-2516\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, b: 6, g: 1, x: 1, r: 5}. Give prob of sequence xb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.8 + 1.2. Let g = 471\/2 - 233. Put l, 3, g in increasing order.\nAnswer: g, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:43 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 308424.\nAnswer: -5\/308424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-1160)*(-20)\/15\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t. Let d(b) = 15*b**2 + 14*b + 5. Let j(a) = d(a) - i(a). What is the remainder when j(-4) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 15. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 10*k**2 - 5*k + 5. Let i(v) = 3*v**3 - 11*v**2 + 5*v - 6. Let z(x) = -5*a(x) - 4*i(x). Suppose 3*g - 4 = 8. List the prime factors of z(g).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63135 and 129.\nAnswer: 2714805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) + (-71876)\/199320.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 6*r + 6. Let y(f) = f**2 - 1. Give -t(j) - 6*y(j).\nAnswer: -8*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(539) + 0 + -3)*-5 + -2*(sqrt(539)*-1 + -4).\nAnswer: -21*sqrt(11) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*h - 590*h - 3*y + 13 = 0, h - 2*y - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721972 by 907.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 35 = -u + 4*u, 3*q = -3*u + 27. What is the second derivative of u*n - 8*n**3 + 10*n**3 - 25*n**4 - 2*n**3 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = -f, -5*f - 5*o - 2 = -22. Suppose -21 = -2*p + f. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*g - 203 = 937 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -7. Solve g - 4 = -f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 + 12)\/((-2)\/2). Let s = -11.65 - -3.69. Let x = s - -8. Which is the nearest to n? (a) 5 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.6. Let g = -0.5 + z. Let r = -3.884 - 0.116. What is the biggest value in r, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 15.4, -5, 78.65, 3\/7?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {x: 3, o: 4, m: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 40 = 4*h - 386, 2*l + h - 229 = 0. Suppose 2*j - z = -2*z + 91, -3*z = -3*j + l. Calculate the remainder when 112 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6982191 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 greater than or equal to 1214033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10934 - -10986. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499207728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08737378719 and -610.\nAnswer: -609.91262621281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -763\/4 - -194. Let u(d) be the first derivative of 0*d**2 + 17 + 0*d**3 + 7*d + i*d**4. Differentiate u(z) with respect to z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.8914144 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(2\/7))**(-17)*x**(-3\/8)*x\/(x**(2\/3)*x))\/(((x**(2\/9)*x)\/x)**(-11))**(-25) assuming x is positive.\nAnswer: x**(-50909\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {u: 2, q: 10, a: 1, n: 2, t: 3, d: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1111, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34848720, -34848728, -34848736, -34848744, -34848752?\n\"Answer: -8*t - 34848712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 3, h: 2, t: 3, m: 4}. What is prob of picking 3 m?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 20. Let a(s) = -s + 7. Let t(w) = 3*w - 15. Let m be t(3). What is m*r(n) - 17*a(n)?\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cpcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -8*g + 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8\/7)\/z*z)**(10\/7)*z**(-14)*z\/(z\/z**(5\/4)*z*z)*z assuming z is positive.\nAnswer: z**(-3015\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 11:17 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14554 or 58213\/4?\nAnswer: 58213\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + 0 + 0)*(16*z**2 + 11*z**2 - 6*z**2) - 60*z**4 + 30*z**4 - 43*z**4 to the form u + n*z**4 + o*z + a*z**3 + m*z**2 and give n.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2526 - 2132. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14776086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (348\/24)\/(5\/10). Let k be (-2 + 1)*(-145)\/y. Solve k*d = 4*v + 1, 5*d = -v + 6 - 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12318 + 12323. Let f be (3 + -1)\/(-2 + 7). Which is the closest to -3? (a) n (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -221c74 (base 13) to base 3\nAnswer: -1111211220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 198. Let u = 1225 + g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -509, -1019, -1527, -2033, -2537, -3039?\n\"Answer: d**2 - 513*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 7*c - 2653. Let h(y) = -8*y**2 - 14*y - 5305. Let v(u) = 3*h(u) - 5*w(u). Let x be v(0). Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21863 divided by 211.\nAnswer: -21863\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 335543102 to the power of 1\/2, to the nearest integer?\nAnswer: 18318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-2\/25))\/p*p*p*p*p\/p**(-3)*p)\/((p*p**1)\/p)**(-3\/11)*((p\/(p\/((p*p**(-1\/4))\/p))*p)\/p**(-5))**(2\/103) assuming p is positive.\nAnswer: p**(536157\/56650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w + 2. Let a(h) = -h**2 + 7*h - 8. Let i be a(6). Let y = i - -3. Put y, w, -4 in increasing order.\nAnswer: -4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.70592 to 1 dp.\nAnswer: -167.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 12 = 87 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 1398.\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1179, -1594, -2315, -3354, -4723?\nAnswer: -6434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 4*c + 6*c)*(-6 + 5 - 4)*(-3 + 3 - 1).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -m - p, 4*m - 7*p = -3*p + 476. Let k = m + -110. Let i(d) = 7*d - 12. Is i(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - 6*j**2 + 3*j**2 + (3*j**2 + 0*j**2 + 0*j**2)*(0 + 0 - 2) + (0*j - 3*j + 4*j)*(-3*j + j + 4*j) to x*j + z*j**2 + m and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (3 + -7)) + 2. Let g = m - 8. Suppose g = -3*p + 380 + 949. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 12) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69741.9166 + -142.\nAnswer: -69883.9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 3, 9.782, -3\/8, 0.02 in descending order.\nAnswer: 9.782, 3, 4\/7, 0.02, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -7*l + 0*l**4 + 0*l**2 - 13\/42*l**7 + 1\/3*l**3 + 0*l**5 + 0 + 0*l**6. What is the second derivative of v(r) wrt r?\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*12\/(-693)*26\/(-52).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009879283956 rounded to seven dps?\nAnswer: 0.0000988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-3)))**(7\/4))**(-8) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa6 - -100?\nAnswer: ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54651289 divided by -3\nAnswer: -54651289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4746 - 38057\/8. Let w = -598 - -1113. What is the common denominator of (-2)\/(-7) - w\/(-84) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*c = 45, 4*u + 5*c - 18 = 6. Suppose -2*k = -k + u. Sort k, -2, 4.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 - 381196*g**3 - 381204*g**2 + 381196*g + 381200 = 0. What is g?\nAnswer: -1, 1, 95300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-2)\/(-8)). Suppose -10 = r - q - q, -50 = 2*r + v*q. Let m = -13 - r. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -612 or -7\/2?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 161.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/60 + q**4\/8 + q**3\/2 - 73*q**2. Let b(i) = 5*i**3 + 7*i + 7. Give -3*b(j) + 7*d(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*d = 402, d + 138 = 5*p - 369. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2693.9105 - -27.9322.\nAnswer: -2665.9783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 69194.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - w**3 + w**2 - 4*w**3 - 3*w**3 + 4*w**3 + (-2*w**2 + 0*w**2 - 2*w**2)*(-891 + 891 + 73*w).\nAnswer: -296*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904357.5 kilometers to centimeters.\nAnswer: 90435750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*r + 49 = 9*r, -55*r + 50*r + 33 = 2*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30224 greater than -2\/345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34964, 34950, 34936, 34922, 34908?\n\"Answer: -14*a + 34978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104743650 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146920.\nAnswer: 2, 5, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c - 3. Let s = -1 - -5. Let i be h(s). Let w(m) be the second derivative of m**4\/12 - 2*m**3\/3 - m**2 - 2*m. Give w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1484503771993\/235074264 - 3\/9794761. Let m = w + -6314. Calculate the common denominator of m and -41\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12723 by 13.\nAnswer: -12723\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 152*v + 3. Let m be f(-2). Let k = m - -307. Let x(p) = p**3 - 6*p**2 - p + 7. Determine x(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 0) + 6 + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 183414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*6*8\/16. Let b be (12\/165)\/(-6 + 93\/g). What is the third smallest value in 4\/5, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {r: 4, c: 6, q: 1, y: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*b - 5*b, 0*b - 8*b = -z - 3*b + 48 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-3)*m\/(m\/(m*m**(-17)*m)))\/(m*m*m**(1\/4))**(-44) assuming m is positive.\nAnswer: m**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3 - 6. Let w = -2 - -12. Suppose h*c = w + 20. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 0. Let n(c) = c**2 - 4 + 6 - 7*c + 4 + 1. Let x be n(7). Solve -5*j + x + 4 = 3*z, u = 5*z - 3*j + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 40*u - 200. Let f be (30 - 28)\/(2\/5). Let n be v(f). Solve 5 = -5*x - n*x - 5*d, 4*x + 12 = 4*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -3, -34 in ascending order.\nAnswer: -34, -11, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -2*x**4\/5 - 32*x**3\/15 + 19*x**2\/5 - 2*x + 4. Let c(g) = 0. What is g?\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = -40. Let l be (-1*5)\/((-3)\/(-18)). Let r = d - l. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 23*p - 4*g - 20 = 0, -p = -2*g - 14. Factor 1\/3*t - t**p - 1\/3*t**4 + 0 + t**3.\nAnswer: -t*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2*338\/(0 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (4 + 5)) + -1. Let i(p) = -22*p - 9. List the prime factors of i(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -21*m - 1192. Let o be q(-57). Which is the biggest value? (a) o (b) 0.3 (c) -1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84573045, 338292178, 761157401, 1353168714, 2114326117?\nAnswer: 3044629610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 3*i, -2*j + 2*i = -3 + 5. Suppose 12 = j*m + 2. Solve -g = 1, -m = 3*u - g + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.022293 and -436164978.1?\nAnswer: 436164978.077707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 4*n + 9*n**2 + 2*n + 6*n to c*n**2 + z + l*n and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + 5*o**3 - o**3 + 3*o**3 + 3*o**3 - 4*o**3 + (-4 + 0 + 3)*(0*o - o**3 + 0*o) - 2*o**3 + o - o + (-1 + 1 - 3*o**3)*(-4 - 1 + 3))*(-2 + 2 - 4).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 85. Let o(d) = -25*d**2 - 48*d**2 + u*d**2. Let q(s) = 3*s**2 + 2*s + 2. Let c(w) = 10*w**2 + 7*w + 7. Let l(i) = 2*c(i) - 7*q(i). Give l(o(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 20 - 4*i**2 + 2*i**2 + i**2.\nAnswer: -i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221*f**6 - 538*f**2?\nAnswer: -26520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.85 + 28.85. What is the nearest to i in 3\/7, 1, -2\/19, -53?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -1.57\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34998124*h**2*n**3 + 13*h**2*n**2 - h**2*n - h**2 - 5*h*n**2 - 1543*h + n wrt n.\nAnswer: 209988744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -0.6, -2, 7, -44854?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + g + 10*g = -3*r + 2*g - 3, -20 = -4*g for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69875158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8659715ml to litres.\nAnswer: 0.0008659715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.03 + -8. Let b = -2.97 - d. Let t = -16.1 - -16. What is the biggest value in t, b, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcc when four letters picked without replacement from rrcccccrk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l + 8*l + 8*l**2 - l**3 + l - 10*l. Calculate p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and 3.17.\nAnswer: 42.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115935 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -11. Let m be (4 + 11)*(-3 - x\/(-3)). Let p be 1\/(((-21)\/18)\/7). Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 2930?\nAnswer: 28a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 86*x - 2 + 898*x.\nAnswer: 984*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(240\/140) + ((-297)\/12)\/(-3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-3)\/3 + -1. Let h(g) = -g - b*g - 7 + 7. Let w(f) = 3*f. What is w(h(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iim when three letters picked without replacement from iimmmimmmm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860 by -2.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p. Suppose -d + 0*d + 8 = 3*w, -5*d + w + 40 = p. Solve d + 0 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(450) + 5*sqrt(450)*1 - (sqrt(450) - (sqrt(450) + -1*sqrt(450)*1)))\/(5*sqrt(441)*-1).\nAnswer: -5 - 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 1. What is v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**3\/33 + 52*a**2\/11 - 960*a\/11 + 4428. Determine b, given that h(b) = 0.\nAnswer: 12, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-60280)\/60 - -5)\/(2\/84). What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 23*l**2 + 23*l + 28*l**2 + 24*l + 23*l - 81*l as k + a*l**2 + j*l and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 526583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 13. Let c(g) be the first derivative of 2*g**3\/3 + 5*g**2\/2 + 6*g - 1. What is the lowest common multiple of c(-4) and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163877419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 854 - 418. Suppose 2 = 2*l, 2*p - 3*p + 4*l = -t. Let d = p - 235. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 10*q + 2. Let j be z(-8). Let u = 19 + j. Solve 5*o - 5*k = -5, -25 = -8*o + 3*o - u*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1943 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = 2. Find the third derivative of 1 + c*j**2 + 79*j**3 - 2 - 72*j**3 wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/((-4)\/(-120)). Let f = v + 15. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*56430\/(-5016)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(4*sqrt(12)*-4))\/((-1*sqrt(1440) + sqrt(1440) - sqrt(10)) + (-1*sqrt(10)*2 + sqrt(10) - sqrt(10))))**2.\nAnswer: 1\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h - 321. What is the remainder when p(23) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 2151 (c) -0.07 (d) 1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven fifths of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.722 - -34.7220145388. What is m rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 57. Let k = p + -40. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.53 - 18.83. Which is the closest to 1\/6? (a) 3\/4 (b) t (c) -0.1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15450 divided by -347.\nAnswer: 15450\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -3\/8, 16, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose -k*j + 8*j = 1855. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 29 = -239. Let t(d) = -28 - 3 + v. Let b(i) = -2*i**2 - 3*i - 1. What is b(y) - t(y)?\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*i + 8. Suppose 34 = 4*x - 0*z - 5*z, i*z = -3*x + 8. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1156 or 1200?\nAnswer: 1156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8201, -8140, -8081, -8024, -7969, -7916?\nAnswer: -7865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 17*i - 29. Give c(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 2.8 (c) 8\/11 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/47 - 66\/329. Which is the biggest value? (a) x (b) 0 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Which is the closest to 2\/5? (a) 2 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*4*5*-2*sqrt(70))\/(sqrt(360)*2 + sqrt(10) - 2*sqrt(360)) + 0)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2. Let f(c) = -2603 + 198*c**2 + 2603. Give s(f(w)).\nAnswer: 274428*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123097019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 10\/(-5))*-10. Let x be ((-1)\/(-4))\/(g\/(-32)). Let q = -0.2 + 0.3. What is the smallest value in q, -2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97157573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:43 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38765467 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/3)*v))\/v)**(5\/7) assuming v is positive.\nAnswer: v**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 7*w**6\/60 + w**5\/5 + 7*w**2\/2 + 11. Let q(n) be the second derivative of r(n). Find the third derivative of q(o) wrt o.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 6*v + 8. Suppose 25*j + 38 = 638. Suppose -m = -3*m + 8, 5*k - m + j = 0. What is a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d + 17. Suppose 7 = 2*w - 4*i - 1, w + 2*i = 8. Let p be g(w). Solve 5*k + 5*m + 27 = 3*m, p*k - 3*m + 22 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 27*q**2 + 34*q - 279. What is s(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6 + 47424\/52. Suppose r + o - 307 = 0, 4*o - i = -3*r + 2*o. What is the greatest common factor of r and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 70. Solve 4*o**2 - 2*o**w - 1 + 6*o**3 - 8*o + 1 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 + (-996)\/33. Let x = n + 54. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -7 + 0 + 9 + (-6 - -1) - -31?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + i = -71, -4*y - 2*i = -27 - 41. Suppose 5*p + 264 = 4*z, -4*z - p = 2177 - 2465. What is the remainder when z is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*n - 69*n - 7314 = 43*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3720761, 3720760, 3720759, 3720758?\n\"Answer: -l + 3720762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/24*(7 - 1). Let v = -22 + q. Let c be (-3)\/(-2) + (-3)\/v. Solve 2*s + 3 = -c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 1, c: 2, j: 4, n: 2}. What is prob of sequence fjij?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1205470?\nAnswer: -1205467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-8 + (-1 - -10) - 37) - -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -72\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 h when three letters picked without replacement from hxlmddlf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by -270499.\nAnswer: -169\/270499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74440922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11256169\/2145 + -78716\/15. Find the common denominator of 72\/455 and b.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3990, -3992, -4004, -4032, -4082, -4160, -4272, -4424?\nAnswer: -4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1027 + -961. Calculate the greatest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1)*(-57 + 59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 922 - 1008. What is the third smallest value in -1\/6, p, -2\/5, 1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 46 = -1524066*w + 1524061*w, -3*w - 5*x = 10 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20512223 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715009749.\nAnswer: 3, 17, 14019799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7456.582ms?\nAnswer: 7.456582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, 0 = -l - 4*l + 4*y - 54. Let p be l\/63 + 2360\/9. Suppose 4 - p = -3*m. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 24. Let b = a - -9. Sort -4, -2, b in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1222?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = o - 10. Suppose 2*i - 64 = -0*i - 4*r, 0 = -o*i - 5*r + 69. Suppose -i*b + 24*b = 12. Let h(v) = v**3 - 7*v**2 + 6*v + 6. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 0*l + 0*l)*(-109 + 27861*l - 27859*l - 130) to j*l + i + h*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let r = m + -2. Suppose -3*n + 3 = r, s + 0*s - n = 2. Let o(z) = -z**2 + 3*z - 2. Give o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1. Let l(z) = 3 + 2 - 7 + 3*z**2 + 0*z**2. Let a(i) = l(i) + 2*y(i). Let u(r) = -4*r. Calculate u(a(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 85 = -2*t + 96, -t + 8 = -2*i. Let c(l) = -4*l**3 - 9*l**2 + 5*l + 7. Let v(s) = -2*s**3 - 4*s**2 + 2*s + 3. Determine i*v(u) + 2*c(u).\nAnswer: 2*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1610 and 42?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j**3*m*q + 47464*j**3*m + j**2*m*q + 52*j*m*q + 6946*j*m + 2*q wrt j?\nAnswer: 126*j*m*q + 284784*j*m + 2*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1481, -3, 5, -5 in increasing order.\nAnswer: -5, -3, 5, 1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 116746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 894 - 962. Put 4, -5, o in decreasing order.\nAnswer: 4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:17 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*v = 560*v + 595 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638516.\nAnswer: 2, 159629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6174645 (base 8) to base 16.\nAnswer: -18f9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 + 25 = 19*j + 35 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 124*d = 60*d + 3024 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 50 + 34. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 986 divide 3199484389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518 by 6.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011701 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2. Let a(z) = 2624*z - 3. Give s(a(j)).\nAnswer: 6885376*j**2 - 15744*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuqquuquuuuuuuquu. Give prob of picking 3 u and 1 q.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -72*g**2. Let r(w) = -w**2 - 102*w + 14. Determine r(m(x)).\nAnswer: -5184*x**4 + 7344*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 51 = 25 - 45. Sort -2, 3, 101, -5, l.\nAnswer: -5, -2, l, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/2 + 148*w - 3014 = 0?\nAnswer: 22, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11234300 divided by 6?\nAnswer: 5617150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170115212?\nAnswer: 2, 103, 412901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - j + 5)*(0 - 3 + 4)*(8*j + 5*j - 5*j) in the form o*j**2 + t*j + d and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/(w\/(w*w**(-3)\/w*w)))\/(w\/w**(1\/2))**(-44))**(2\/23) assuming w is positive.\nAnswer: w**(26\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from zzeheuzuzzuuuuhbe.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.5391t in grams?\nAnswer: 143539100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*q - 677*q - 5*c - 3 = 0, 0 = -3*q + 4*c - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -5\/4 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 671383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.39209*0.4\nAnswer: 0.556836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1258 = 1253 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/c**(-1))\/c)*c\/(c*c*c**(-2\/13)*c)*c**(-2\/19)\/(c\/((c*c*c**9\/c)\/c))*(c**0\/c*c**(1\/6))\/(c\/c**(2\/3))**9 assuming c is positive.\nAnswer: c**(3283\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 496 + -473. Let b(n) = -2*n + 47. What is b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(95) - (sqrt(95) + (1*sqrt(95) + sqrt(95) - sqrt(95))*2))*-4)\/((-5*sqrt(640) + sqrt(40))\/((sqrt(56)*-2)\/sqrt(7))).\nAnswer: -48*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5169?\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8*u = -7*r - 92, -4*u + 40 = -4*r - 16 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*148\/5. Suppose -2*l + r = -0*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 3510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33546592, 134186387, 301919380, 536745571, 838664960, 1207677547?\n\"Answer: 33546599*z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.737824*0.4\nAnswer: -0.2951296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214336*u + 214338*u - 428681*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 - 3*q - 4. Let f be m(3). Let y(j) = 3*j - 74. Let p be y(24). Let k be 1\/p + 81\/6. Sort k, -3, f in increasing order.\nAnswer: f, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 72*z**3 - 59*z. Let l(t) = 143*t**3 - 119*t. Let f(q) = 13*g(q) - 6*l(q). Find the second derivative of f(p) wrt p.\nAnswer: 468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38544 and 7366722.\nAnswer: 58933776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/43587 and -97\/3570.\nAnswer: 51868530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 78 in decreasing order.\nAnswer: 78, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19164, -2\/25, 0, 0.06?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q + 2*q)*(-q - 2*q + 2*q)*(-q - 3*q + q) in the form l*q**3 + b*q + y*q**2 + h and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3162, -6180, -9204, -12234, -15270, -18312, -21360?\nAnswer: -24414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1852 - -1851.7. Is m < -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12351780 divided by -420\nAnswer: 29409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 40 = -k. Let d = 1 - k. Calculate the highest common divisor of d and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*d - 8*d - 3822 = -145*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8937 is divided by 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50445? (a) 1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-4 + (-16 - (-28 - -15)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -24144801 divided by -187169?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9555 and 37440?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 841987 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1181735 smaller than -1181749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21501 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/67)\/t**(-2\/35)*((t*t**(-23)*t)\/t)**(-11\/4) assuming t is positive.\nAnswer: t**(283943\/4690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 15 (c) -382 (d) -315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 4:01 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 14*h**2 - 20*h - 33. Let z be v(-14). Let p = -1731\/7 + z. What is the smallest value in 2, 3, p, 0.15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmrmrmrfmfr. What is prob of sequence ffrm?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -529*c**2*k**3 - c**2 - 1244*k**3 with respect to c.\nAnswer: -1058*c*k**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012211233 (base 4) to base 6.\nAnswer: 10110331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxe. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3 less than -1398738.465268?\nAnswer: -1398748.765268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 10*y**2 + 13*y - 21. Let g be w(9). Let i be 48\/10 + (-7)\/(-35). Let x be 20\/6 + ((-15)\/(-9) - 2). Sort g, i, x.\nAnswer: x, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-20) - -3)\/3*(-23 + (90 - -33)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6. Let l(q) = -7. Let a(r) = 6*b(r) + 5*l(r). Let i(z) = -z**2 - z + z - 2. What is -a(p) - i(p)?\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36)*6*(-6)\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 26*n**2. Let w(t) = 634*t**2 + t. Let f be w(-1). Let s(b) = -f + 633 - 2*b. Give s(q(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116891557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/77 and -26\/58975?\nAnswer: 648725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/48 + 2879*i**3\/12 - 8288641*i**2\/8 - 33*i + 43. Factor r(g).\nAnswer: -(g - 2879)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(14 - 0). Let i = v - -24. Sort 5, -1, i in ascending order.\nAnswer: -1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = c - 4*n, 6*c - 8*n = 2*c + 4*c - c - 54 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -61 - (-8 + -13 - 14)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from oobbi?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14282977 to the power of 1\/2, to the nearest integer?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 14, -23 in increasing order.\nAnswer: -23, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -516 and -0.4?\nAnswer: 206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 108*k + 10544. Give c(-44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1296867876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.6595 + -0.0405. Let j = x - -47. Let n = -0.07 - 0.93. What is the nearest to j in 1\/4, n, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 + 4*w**2 - 28112*w - 28114. What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3446, -6893, -10338, -13781, -17222, -20661?\n\"Answer: r**2 - 3450*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24908534 and 5144.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b**3 + 2*b**2 - 2*b**2.\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 10*o**2 + o - 10. Let v be (30\/9)\/((-3)\/(-9)). Let m be d(v). Let w = -793 + 24589\/31. Are w and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 - 175. Suppose 6*i + 3*i + f = 0. Let c(n) = -2*n - 14. Let x be c(0). Do i and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10160576, 10160505, 10160434, 10160363?\n\"Answer: -71*j + 10160647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1585638 - 241\nAnswer: -1585879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -155, -127, -101, -77?\n\"Answer: -g**2 + 31*g - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16454 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 5 (c) 1 (d) 807 (e) -0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7)*5*16\/(-40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1889 (b) 1 (c) -5 (d) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.01 * 0.4.\nAnswer: 10.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4333, -4305, -4277?\n\"Answer: 28*z - 4361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 10, e: 6}. Give prob of sequence gegg.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 37*h + 378 + 221 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-13)\/(-70) + 26\/(-91)). Let s(f) = p*f - 9148*f**2 + 0*f**3 + 9140*f**2 + f**3 - 16. What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:11 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49706163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3531 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212814 at most 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -79. Are p and -21 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*(-45)\/30. What is the third smallest value in -2, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) 2725\/6 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577220\/157180*87\/9?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 26. Let x be f(-7). Is x >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*3\/(-2). Suppose -4*r - h*d + 48 = -2, r - d - 16 = 0. What is the least common multiple of 12 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l + 12 = 66*l. Suppose 7*q = -l*q + 8244. List the prime factors of q.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 + -6 - (6 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-3)*(-17)\/(-2). Suppose -3 = -2*r + s. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37504 - 3525431\/94. Let o be ((-261)\/232)\/(6\/2440). Let z = o - -428. Find the common denominator of z and s.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 4*d - 14, 2 = -19*c + 22*c - 4*d for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtaar. What is prob of picking 1 d and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*s = 5, 29*o = 24*o - 4*s - 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3753665*r**4 + 2085771*r**2 wrt r?\nAnswer: -90087960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 898012527 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -38. Suppose 5*n - 4*v - 4 = 0, 2*n + 0 = -v - 1. Solve -4*i = -3*i - k*a - 2, n = -a - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/130 + 2*l. Factor r(m).\nAnswer: 2*m**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j**2 - 2*j - 5. Let o be p(5). Let c = o + -11. Let z = 51 + c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*i + 2*i - 3*s, 0 = -s - 2. Let y(o) = -18*o + 1. What is the units digit of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2413*-109072\nAnswer: -263190736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 280*d - 279*d - 9, -4*d + 14 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -4\/7, 2\/5, 182?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + (-22)\/27. Let u = m - -5\/54. Let x = -0.68 - -1.18. Which is the smallest value? (a) u (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 + 448*q + 1806. Determine o(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61080*f + 61107*f - 122189*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5 + 84\/(-10) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 22*z - 12. Calculate q(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1628906 and 17089?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*u**3 - 63*u**3 - 63*u**3 + 136*u**3 + 152*u**3 - 2*u**2.\nAnswer: 494*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (168\/35)\/((-2)\/(-1)). Is 2 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from yyyynxxnnynnyxrywnn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 5 + 1*sqrt(272) + -4*(sqrt(272) + 1) + sqrt(272) + 5*sqrt(272)*-1 + sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272)*2 + 4 + sqrt(272) + 2)**2*2.\nAnswer: -672*sqrt(17) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 9*a**2 - 4*a + 2. Let d be p(-8). Let m = d + 59. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + i. Let h(f) = 2*f**2 - 4*f - 3. Suppose 0 = -2*s - 3*r + 8, -8*s - 2*r = -4*s - 8. Determine s*h(l) + 4*a(l).\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5394, 10803, 16210, 21615, 27018, 32419, 37818?\nAnswer: 43215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 1. Let c be i(-2). Let o be 0\/1 - c\/(-42). Sort o, -5, 1 in decreasing order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/40 + 26\/10. Let k(c) = -7*c + 0*c + c**2 + b*c - 2. Suppose -5*s + 28 = 2*l, 2*s + 3*l = -0*l + 20. What is k(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0.24. Suppose 21*u + 20*u + 41 = 0. What is the smallest value in u, -1\/7, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 2. Let h = 2 + r. Suppose -2*t - 5 = -4*z + z, -3*z = -h*t - 3. Solve 0*s = z*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863580560?\nAnswer: 2, 5, 29, 251, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-5))\/((-6)\/(-20)). What is the third derivative of k**q + 8*k**2 - 5*k**2 - 5*k**4 + 5*k**4 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 - 6. Is 218\/b*(4 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*g + 47, 2*g + 81 - 13 = 3*q. Suppose -q = -6*y + 4*y. Suppose -n + 3*h - 3 = 0, 0 = 5*h - 36 + y. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 8*u**2 + 7*u + 2. Let s be b(7). Let h(o) = 69 - s*o - 69. Let w(t) = -5*t**2. Determine w(h(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8086 and 9.6?\nAnswer: 77625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)*r*r)\/(r**(-1)*r))\/(r**(1\/2))**17 assuming r is positive.\nAnswer: r**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, e: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1360 + 2*i + 1358 - 2720 + 201*i**2 in the form j*i**2 + g + t*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.7. Let p = -2\/3 - -2\/21. Which is the second smallest value? (a) i (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/13)*p*p\/(p*(p*p**10*p)\/p*p) assuming p is positive.\nAnswer: p**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5478 = 4*f - y, f - 2*y = 959 + 400. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 19*j**2 - 280*j + 2703. Give r(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021126507 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*d + 6, -48518*m = -48515*m + 5*d - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u**2. Let g(p) be the first derivative of 22 + 60*p - 60*p + 32 - 2*p**2. Determine z(g(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: -192 divided by -7\nAnswer: 192\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.62878 and 17347500.8?\nAnswer: 17347500.17122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/57, 2\/9, -1\/3, 16, -2 in decreasing order.\nAnswer: 16, 16\/57, 2\/9, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*z + 5*z + 2*r, 0 = 3*z - r - 15. Suppose 12 = -3*v + 3*p, 5*v + z*p - p = -4. Let q = -0.4 + 4.4. What is the smallest value in 3, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129984233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 120 in decreasing order.\nAnswer: 120, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.061 - -0.051. Do 0.28 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393499, 787237, 1180975?\nAnswer: 1574713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*g + 29*g + 28*g - 657*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 1. Let t be r(-2). Suppose -u - t = -4. Suppose 11*j - 18*j = -7. Calculate the remainder when j is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.578 - -2.64. What is the third smallest value in 1, -0.3, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + (sqrt(33)\/sqrt(3))**2 + 3 + -4*(sqrt(99))**2).\nAnswer: -5*sqrt(11) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let d(b) = -96*b**2 - 102*b**2 - b**3 + 199*b**2 + 2*b. Give d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v. Let w(r) = 3*r**2 - 4. Let a(n) = 5*n + 5 - 4*n**2 - 5*n. Let h(p) = -4*a(p) - 5*w(p). What is h(j(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - z + 458, 6*n - 3*z - 754 = n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1776 and 1221?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2*x + 629*w**2 + 152*w*x**4 - 2*w with respect to x.\nAnswer: 2*w**2 + 608*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -723a + 55?\nAnswer: -71e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 3*h**3 + 6*h + 2*h**3 - 6*h**2 - 2. Let y be v(5). What is the greatest common divisor of 12 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11470, 22956, 34454, 45970, 57510, 69080?\nAnswer: 80686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154 + 316 = 6*g. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 750? (a) -0.1 (b) -5\/2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 132594.\nAnswer: -66297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2485 times -6415\nAnswer: 15941275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.2, 2, -19.2, -49 in descending order.\nAnswer: 2, 0.2, -0.2, -19.2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8556 + 4?\nAnswer: 8561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69477 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.037 - -0.063. Put 11\/3, 1\/4, d, 5 in descending order.\nAnswer: 5, 11\/3, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2. Let p(f) = -5*f**2 - 16*f - 61. Let r(h) = 6*k(h) - p(h). Let x be r(19). Let z(i) = 12*i**2 + i + 1. What is the tens digit of z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 4*i - 1872, 3*i + 4*t = 1385. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)*4\/16. Let r be (-21)\/35 - (-2)\/(-5). Let h = 0.05 + -0.35. Which is the nearest to r? (a) f (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 47. Let b = d - 2. Let p = -255 - -258. Put b, -2, p in ascending order.\nAnswer: -2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (26 - (35 + -25))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 + -6)) + (3 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7972712392 plus -225?\nAnswer: -7972712617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7829, -15869, -23893, -31901, -39893?\nAnswer: -47869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 802813752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 13, -3\/41, 4, 2, -1 in descending order.\nAnswer: 13, 4, 2, 0.4, -3\/41, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*l - 27082, -4*l = -4*a - 2*l + 54164. Suppose -17138 = -11*u + a. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 11*o**2 - 20 + (-23*o + 8 - 18 + 12)*(-4*o + 0*o + o) + (-o - 1 + 1)*(-5*o + 4*o + 0*o) in the form l*o + a + g*o**2 and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6871140378 - 6871140378 - 300*q.\nAnswer: -300*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17523382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326 + 143 + 3172 + 25*i.\nAnswer: 25*i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 51017 - 664113 = -11*x. What are the prime factors of x?\nAnswer: 2, 5, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z + 19 - 16 + 8*z. Let u be c(3). Suppose -4*w + w = -s + 1330, u = 4*s + 3*w - 5395. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -667*w - 1057*w - 60410 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -5*i + 6*k, 2*i - 13*k + 22 = -11*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -188, -746, -1688, -3026, -4772, -6938, -9536, -12578?\n\"Answer: -2*i**3 - 180*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*q + 168 = -96, -c + 4*q + 48 = 0. Suppose 6*x - 51 = -3. What is the greatest common factor of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + (-423)\/(-36) + 2\/8. Suppose -7*a + 63 - 21 = m. Solve 4*p = p - a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 12*t + 28. Calculate o(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7\/8))\/n*n**(-5\/4)*(n*n*n**(-18)*n)\/n**(17\/5))**17 assuming n is positive.\nAnswer: n**(-13957\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224216021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1301290805 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 15*k**2 + 131*k + 1971. Determine z(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*o - 34 = -225*o. Solve o*w + 820 - 824 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*d + 90, 5*d = -3*u + 14 - 74. Which is greater: -16 or u?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 - -120. Put -0.2, j, 6 in decreasing order.\nAnswer: 6, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 11. Let a(o) = -o**2 - o**2 - 5*o**2 + y*o**2 + 1. What is a(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:19 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 92*y**2 - 1 - 181*y**2 + 90*y**2 + 1. Let f(c) = c**2 + c + 1. Let p(t) = -40*t**2 - 30*t - 30. Let v(g) = -30*f(g) - p(g). Determine v(w(a)).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 2*g + 3. Calculate q(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351\/8 + -44. Let y = -5651.4 + 5651.6. Put x, 3, y, 71 in increasing order.\nAnswer: x, y, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19) + 2 - (0 + sqrt(19) + 5) - (-3*(2 + sqrt(2299) - sqrt(2299)))**2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*y**6 + a**3*y**2 + 12*a**3 - 3340*a*y**6 + a*y**2 - 741*y**2 wrt y?\nAnswer: 360*a**3*y**3 - 400800*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 15 + 1, 4*t - 91 = -3*d. Solve d*s - 8 = 28*s - 2*k, -4*k = s - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:56 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5274 - -5277. What is the nearest to l in -1.87, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**4 - 2*d**2 - 2*d - 1. Let a(m) = -5*m**4 + 10*m**2 + 11*m + 6. Let n(u) = -2*a(u) - 11*w(u). Factor n(c).\nAnswer: -(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 + 2*f - 6. Calculate i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4794706 is divided by 399558?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let m(f) = -f**3 + 9*f**2. Let t be m(9). Let c(a) = -5*a + 0*a + t*a. Determine w(c(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17138 and 11853017.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.121 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, n: 1, o: 1, c: 10}. Give prob of sequence uz.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 plus -159?\nAnswer: -158.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 321\/9 - 2\/(-6) and (-1)\/((-14)\/(-196)) - -18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let y(m) = 2. Let b(v) = 11*v + 10. Let q(w) = b(w) - 5*y(w). Calculate t(q(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9 and 115\/36486?\nAnswer: 36486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**3 + 4*c**2 - 17. What is the tens digit of f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 3 - 1 - b**2 - 3*b + 1. Let d = -185 - -195. What is the smallest common multiple of s(4) and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -440715*o**4 - 204*o - 764 wrt o?\nAnswer: -5288580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.3. Let t = 556.4 + -515. Let s = -41 + t. Which is the smallest value? (a) s (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, b: 7}. Give prob of sequence bb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 - 1611 = -361*h + 2339 + 1570 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*f, f = z - 8. Let d = 9 - 5. Suppose 0 = -3*t + 2*g - 5 + 25, d*g + 32 = 4*t. Solve -t*s + s = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62\/4 + 42\/(-28) - (0 - -1). Solve 3*u - 5*x - w = 0, 0 = 5*x + 13 - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2 - 7 - 79*a**2 + 2*a + 5 - 87*a**2. Let d(t) = -2*t. What is d(k(j))?\nAnswer: 332*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 185 from -133526.\nAnswer: -133711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7449348 is divided by 1241519?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 32. Let o(t) = t**3 - 9*t**2 + 14*t - 20. Let v be o(k). Suppose -b - 4*i + v = 0, -1 = -2*i + 3. What is the remainder when 37 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3946279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-2\/11)\/n)\/n)*n**(-12))\/((n\/(n\/(n\/((n\/n**(-7\/3))\/n)*n)))\/(((n*n**(3\/5))\/n)\/n*n)))**(2\/35) assuming n is positive.\nAnswer: n**(-2602\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106995 divided by -15.\nAnswer: -7133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*c**2 - 170*c**2 + 3*c**3 - 4*c**3 + 81*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 16) to base 6.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(3\/(-15)))\/(1880\/(-19552)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 * -1239\nAnswer: 75.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18\/y)\/(y*y**(-12)*y*y*y) assuming y is positive.\nAnswer: y**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1350?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g. Let n(b) = 2*b**2 + 8*b - 10. Let p(o) = d(o) + n(o). Let u be p(-10). Solve 0 = -x - 4*x + 3*t + 35, u = -2*t - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 1. Let t be z(-5). Let n be -2 + 4\/(12\/t). What is the nearest to n in -2\/15, 0.02, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 60*s - 177. What is l(-27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -12) + -115 + 95 - (-13 + -5) - -102?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6354857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57651*c**2 - 1 - 57692*c**2 - 1 + 6 - 4.\nAnswer: -41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhqllqlllh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1024962 months?\nAnswer: 0.0000854135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}