diff --git "a/data/dm_maths/full_data_2/1506_11255.jsonl" "b/data/dm_maths/full_data_2/1506_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1506_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the smallest common multiple of 92 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 55. Let m = 1001 + -949. Calculate the remainder when m is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184666.\nAnswer: 2, 92333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2543 + 2094 + t**3 - 1472.\nAnswer: t**3 + 3165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4192 + -3970. Suppose 0 = -l + 3 + 4. Suppose s = -3*w + l*w + 3*g, 5*w = -3*g + 276. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from jjxbxxjjjxexhj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435 at most 4435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5087 + 3*n - 5087 - 3*n + 16*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617008123?\nAnswer: 2273, 271451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46.506387113196 from 2.\nAnswer: 48.506387113196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506194637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 71438*w - 1068. Let s be l(-3). Round s to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 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 589 minutes before 10:54 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {x: 3, l: 2, t: 12, o: 2, y: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.508 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*7.5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 34.01933ug?\nAnswer: 0.00000000003401933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -0.42.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (2 + 0) - -15. Let a be (-16)\/64 - (-186)\/8. Let p = a - d. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10 + (-11 - -20))*118\/48 and -85\/856?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 - 2*r**5\/5 - 9*r**4\/8 + 8*r**3 - 45*r**2. Let o be d(25). Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*d + 58*d + 390*d - 5321 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194761392, -194761395, -194761398?\n\"Answer: -3*m - 194761389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 1828\/11. Let q(j) = -j**3 + j**2 + 86. Let f be q(0). Let h = f + -256\/3. Which is the second smallest value? (a) 0.4 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021031 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -87, -74, 109?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780220.\nAnswer: 2, 5, 13, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 480.24 + -472. What is b rounded to 1 dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m\/((m**(-6)*m*m)\/m*m)))\/m*m\/m**(-10\/13)*(m\/((m\/(m*m*m**36))\/m))\/m**(-4\/9) assuming m is positive.\nAnswer: m**(4354\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 249.38?\nAnswer: -74.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4\/2 + 162*b**3 - 5661*b**2 + 57498*b + 455877\/2 = 0?\nAnswer: -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 3. Let q be w(5). Let o(j) = -5*j**3 - 2*j**2 + j. Let h be o(q). Suppose -h = 5*n - 75. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14664 = 3*j, -4*u + 2*j = u - 73255. Suppose 4*l + 3*x - 19530 = 0, 3*l = 2*x - 5*x + u. Suppose -318 = -3*a + l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -69. Suppose z - 19 = -2*k, -k = 4*z - 8*z + i. Is 13 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 165 + 2?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 5*z - z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 7. Let o = -6 - -23. Let q(r) = 6*r - 20. Determine o*b(u) - 6*q(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45.6 and -13372162145?\nAnswer: 13372162099.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 41. Let v = r - 65. Does 12 divide 10\/(-35) + (-499)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:01 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 117*u - 403. Let g be q(62). Solve 5*d - g = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 71*w**7\/210 - w**6\/60 - 467*w**5\/60 + 419*w**2. What is the third derivative of j(v) wrt v?\nAnswer: 1704*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347 or 0.445?\nAnswer: 0.445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -32. Let g = h + -4. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let s = -1 - -25. Let g = s - o. Solve -3*f + g + 3 = -3*y, 4*f = -3*y + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 - 211. Calculate the remainder when f is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -6, -v - 25 + 4 = q. Let p be (-30)\/154 - v\/63. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(15)\/sqrt(3) + -2 - sqrt(5)) + 1 + sqrt(125) + ((sqrt(75)\/sqrt(3))\/sqrt(5) - sqrt(180)*-2)))**2.\nAnswer: -324*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from tseesbsbs?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*l**3 + 1\/2*l**4 - 1\/2*l + 0 - 1\/2*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 147, -4, -46261, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 - q - 5. Let y be f(6). Suppose u - y = -4*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 13*w - 13. Let t be k(-11). Let b be (-22)\/(-5) - (-6)\/(-15). Solve 2*n + 8 = 4*p - t*p, -b*n = -4*p - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 12 = 0. Let a be 6\/(-4)*(-8)\/6. Suppose -n = -2*m + a. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104418704 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 44. Sort 2, 5, s in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 19*q + 8 = 22*q. Sort 10.5, 2, q, -7, -4 in descending order.\nAnswer: 10.5, 2, q, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 110*j + 4730. What is u(-40)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -34967*s + 909256. Calculate d(26).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/4 (c) -3\/7 (d) -817\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/7 - 684*u**3\/7 - 2778*u**2\/7 + 3460*u\/7 = 0 for u.\nAnswer: -5, 0, 1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 + 9*s + 7. Let b be x(-7). Which is smaller: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-12)*(-604)\/6. Let v = -161 + 66. Let x = v + z. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 174 = -170. Let l = z + -154. Which is bigger: l or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -3c?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 85?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 2 - 2 + 43*q + q**2.\nAnswer: 5*q**2 + 43*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/3 + 2970*h + 8913 = 0. Calculate h.\nAnswer: -3, 8913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121.8 + 111. Let h = a - -10.80000072. Round h to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46717112 + 62365.\nAnswer: 62364.53282888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1349b + -3?\nAnswer: -1349e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38278674?\nAnswer: 2, 3, 7, 461, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x - 7. What is the remainder when p(14) is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 11*j**2 + 16. Let v be x(-11). What are the prime factors of 3 + v + 0\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, r: 1, v: 1, s: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 260439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - 5*q - 1. Let r(i) = -3*i**2 - 6*i - 1. Let u(d) = -2*k(d) + 3*r(d). Suppose 19 = 2*f - f. What is the remainder when f is divided by u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.095 + -38. Round a to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g - 152*g = -3*n - 7, 3*n + 4 = 5*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/50 - m**4\/30 + m**3\/15 + m**2\/5 + 8*m. Factor d(j).\nAnswer: -2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12 and 85\/113789344?\nAnswer: 341368032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29258 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1147 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*r**2 - 13*r?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3*x**2 + 75*g**3 - 28*g**2 + 337*x**2 wrt x?\nAnswer: -6*g**3*x + 674*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -3\/5 (c) 3\/5 (d) 2\/87 (e) -0.07 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:19 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16 + 41 = 0. Calculate the least common multiple of 6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/13 + 219736*c + 2856570\/13 = 0. Calculate c.\nAnswer: -1, 1428285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(275) - (1 + sqrt(275))*-3 - sqrt(275) - -1*(sqrt(275) + -1)**2) + 6*(-2*-2*sqrt(275))**2.\nAnswer: 5*sqrt(11) + 26679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165456 is divided by 27402.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121 (base 4) to base 9.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 193710*x**2 + 1876178205*x.\nAnswer: 5*x*(x + 19371)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -151, -434, -869, -1462, -2219, -3146?\nAnswer: -4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 48*m**2 + 10*m - 9. Let z be 2 - 4\/2 - -4. Is v(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 23. Let r be k(-12). Let g = 18 - 17.7. Which is the closest to 4? (a) g (b) r (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -33) + (-42 - -32) + (-14 - -13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*w - 2718, 4*h + 2*w - 5436 = -w. Suppose 0 = d + 8*d - h. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + (-10)\/(-10). Let v(z) = 4*z**2 - 197*z - z**3 + 190*z + 5*z**h - 1. What are the prime factors of v(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -106. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**7\/2520 + c**6\/180 - c**5\/40 - c**4\/24 + 2*c**2. Let a(t) be the second derivative of p(t). Give a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377963?\nAnswer: 377963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635112.5 months in centuries?\nAnswer: 1362.59375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 4*r**2 + 2*r - 6. Let m be p(4). Let d be 0\/((m - 3)\/1). Factor o**3 + 3*o**2 - 3 + 4 + 3*o + d*o.\nAnswer: (o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*w - 184*w = -76*w - 586780. List the prime factors of w.\nAnswer: 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 4, q: 7, b: 2, f: 1}. Give prob of sequence qh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose 0 = -3*f - w*f + 12. Suppose 0 = -f*n + 77 + 295. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -331, -1365, -3105, -5557, -8727, -12621, -17245?\n\"Answer: -b**3 - 347*b**2 + 14*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 72*w**2 - 22*w + 3. Let j(t) = -2*t**3 - 77*t**2 - 20*t + 5. Give 3*c(f) - 2*j(f).\nAnswer: -2*f**3 - 62*f**2 - 26*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f**2 + 13711*f + 27452. Give s(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4989*i - 7115. Is g(36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 141*k - 299. Give n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Which is the closest to -1? (a) -5 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzu when three letters picked without replacement from zezzdzkuudzuud?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.874 + 9.8739938967. Round m to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 19*z**2 - 77*z**3 - 12*z**2 - 34*z**2 + 21*z**2 in the form k + r*z**2 + i*z**3 + t*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - ((8 - (-2 - (3 + -6))) + -51 + 51).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 + 89.6. Let t = -1.9 - h. What is the second smallest value in t, -0.2, 0, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, w: 1, y: 10}. What is prob of picking 3 j?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 18252478 - 36504944 + 11*s**2 + 6*s**2 + 18252466.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1185 - 1181. Put n, 2, 114 in increasing order.\nAnswer: 2, n, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -5. Let a = r - -5.6. Let j = 1.6 - a. What is the biggest value in 0.3, j, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68593 and 187411.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 30, -3, 3, 5, 6 in increasing order.\nAnswer: -3, 3, 5, 6, 20, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 + -341. Is r not equal to -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z - 2. Let s be l(2). Let t be 32452402\/s + 2\/7. Suppose -4*n = 1721971 + t. Round n to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 33*f**2 - 2*f + 721. Give g(35).\nAnswer: -1799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*(-11)\/3036 - (-579)\/(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*t + 21, -3935*t - 84 = 3927*t - 7859*t + 16*o for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t - 1. Let m be r(1). Suppose -s - m*s + 801 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**4 + 20*o**3 - 52*o**2 + 44*o - 16. Let y(x) = -x**3 - x. Let b(l) = -j(l) + 4*y(l). Factor b(d).\nAnswer: 4*(d - 2)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423548 less than -6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 - 3*d**2 + 22*d**3 - d + 0*d + 3*d + d**2. What is the units digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 9 = -24*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 79\/(8295\/180) - 2. Let c be ((-1)\/14)\/(2\/(-8)). What is the nearest to r in c, 4, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 275*y**5 - 12*y**5 + 41*y**5 + (2*y**3 + 2*y**3 - 6*y**3)*(2*y**2 - 7*y**2 + 3*y**2).\nAnswer: 308*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {o: 2, v: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -1\/3*p**3 - 5*p + 0 + 0*p**4 + 0*p**5 - 1\/30*p**6 + 0*p**2. What is the second derivative of m(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Solve 25 = -t*d - 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12406.41 - -0.5?\nAnswer: -12405.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**6 + c**4 + c**2. Let q(z) = -155*z**6 - 5*z**4 - 171*z**2. Let k(p) = -q(p) - 5*y(p). Find the third derivative of k(v) wrt v.\nAnswer: 19200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8379 to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 333\/41?\nAnswer: 333\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/114 - 252044\/1100138?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 4. Let q be n(6). Let y(o) = -o**3 - 2*o**2 - o - 3. Let u(m) = m**3 + 2*m**2 + m + 3. Let v(z) = q*y(z) - 3*u(z). What is v(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, b: 5}. Give prob of picking 3 s and 1 b.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2423 is divided by 144.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5198 or 5197?\nAnswer: 5197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:43 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 h, and 1 c when four letters picked without replacement from {z: 2, c: 2, h: 1, v: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -119*r**3 - 9*r**2 + 19*r + 200. Is c(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + 12*n + 2*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100284784 divided by -16.\nAnswer: -6267799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*k + 17, 2*v - 30 = -3*v + 903*k - 908*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2590626347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -256982 (base 10) in base 13?\nAnswer: -8cc7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -65, -103, -157, -233?\n\"Answer: -s**3 + s**2 - 24*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose x = -p - 3*a + 51, -111 = 4*p + 4*a - 339. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 + 61*m**2 - 178*m - 2553. Determine f(-22).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccfffccffff. Give prob of sequence cfcc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839884283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 236953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 - 14*n - 21. Let f be v(-5). Let q = f - -276. What is the remainder when q is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3961268890 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 4*i**2 - 5*i + 3. Let h be g(3). What is the units digit of (h\/75)\/((-1)\/70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**5 - 1\/3*j**6 - 4\/3*j**3 + 0*j + 0*j**2 + 6 + 0*j**4. What is the third derivative of u(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003817598 rounded to seven dps?\nAnswer: 0.0000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w - p + 243, 0 = 4*w - 2*p - 314. Let r = -85 + w. Which is the second smallest value? (a) 0.4 (b) r (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:06 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 21*q = -t, 5*t + 10 = -5*q. Solve 215 = -q*v + 219 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -6, -31, -74, -141, -238, -371?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*d + 105*d + 35846402 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295728 and 240?\nAnswer: 1478640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61775, 123548, 185317, 247082, 308843, 370600?\nAnswer: 432353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29908 is divided by 197?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51616.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -631503039 + 22\nAnswer: -631503017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.64001091 - -2.64. Round v to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*h**2 - 5098 + 5098)*(-2*h**2 - 3*h**2 + 4*h**2) - 2*h**4 - 3*h**4 + 7*h**4.\nAnswer: -62*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1. Let v be 6 + -3 + (-5 - -4). Suppose 4*b + 4*s = 372, -2*b + v*s = -s - 206. Let f(t) = 4*t + 100 - 2*t - b. What is f(h) - 5*p(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0156277 rounded to five dps?\nAnswer: -0.01563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 * 2537\nAnswer: -73.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**0*h))**(-1\/12)\/((h*h**(-3))\/h*h\/((h*h*h\/(h*h*h**(-1\/9)*h))\/h)))**(-15\/11) assuming h is positive.\nAnswer: h**(-115\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011 - 3?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6*f**4 - 3*f**2 + 15*f**3 + 19 + 12*f + 2*f**2 - 7*f - 14*f**3 as l*f**3 + o + z*f**2 + a*f + w*f**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + j - 1. Let g be o(-5). Find the common denominator of -1*(g\/3)\/((-4)\/(-15)) and -145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1748.\nAnswer: 5\/1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by ((-2)\/6)\/((-4)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.62506 rounded to one decimal place?\nAnswer: -300.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-18)\/(-405)*9.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7769828627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 33 = -10*q, 39*h - 28*h - 14*h - 2*q - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2)*6\/1. Suppose 0 = v - 29 - 2. Suppose 0 = -4*y - 7 + v. Calculate the highest common factor of y and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 37 = -13. Calculate the remainder when 23 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 249 = -3*n. Suppose 3*w = 5*z - n, -3*w = 2*z - 5*z + 75. Let v be 1 - -1 - (-48)\/w. Which is the third biggest value? (a) 4 (b) 1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/414 + -9\/46. Let k = -346 - -345.795. Let f = k + 0.505. Which is the closest to 2\/3? (a) f (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 50 = -2*a - 6*y, 0 = 5*y + 20. Suppose a*i - 6*i = 1160. Calculate the least common multiple of i and 95.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22575300 divided by 451506?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -69709*w - 1951870. Give u(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21313323023303 + 2?\nAnswer: -21313323023301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/16 - -4*7\/(-28)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3316 - -3319. Let f be (3 + 4)*(-3)\/(-4). Suppose 0*r**2 + 15\/4*r**4 + f*r**5 + 0*r + 0 - 3\/2*r**k = 0. What is r?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 + 10*u**2 + 2 - u**3 - 18*u**2. Calculate the lowest common multiple of 18 and b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 332*s + 6600.\nAnswer: 4*(s + 33)*(s + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 49.198995 milliseconds?\nAnswer: 0.0000005694328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 2 = 53*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7510 + -1211. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a8 (base 15) to base 9\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/116*20\/(-20). What is the nearest to i in 1, 5, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8372 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 - 1188*a + 203 + 348*a - 721*a)*(-3 + 1 + 4).\nAnswer: -3122*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/5, 12\/11, 1\/7 in decreasing order.\nAnswer: 3, 12\/11, 1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p - 3*b, 3*p - 4*b - 23 = 13. Suppose 2*s = 4*f - 70, 6*f - 4*f = 4*s + 44. Find the third derivative of -p*v**3 + 3*v**6 + f*v**3 - 11*v**2 wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 19. Let q be (-19)\/114 - -2*(-106)\/24. Let i be m(q). Is (i - 276)*(-1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -736071, -1472167, -2208263, -2944359, -3680455?\n\"Answer: -736096*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a + 21*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 1. Let d(y) = 6*y + 4. Give -d(j) + 2*m(j).\nAnswer: -8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/3 + a**3\/3.\nAnswer: -a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*((-55)\/(-35) - 1). Solve -3*h = h + 3*f - 19, 0 = 4*h - y*f + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4415 and 2283438.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -34*m + 2. Determine z(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4 - 90*n**2 + 1060 with respect to n.\nAnswer: -8*n**3 - 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36727200 and -133\/293817600.\nAnswer: 293817600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/139332 and -7\/204.\nAnswer: 139332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -111*d + 13. Let z(n) = -n - 3. Calculate -j(i) - 5*z(i).\nAnswer: 116*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 983820 to the power of 1\/2, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 1014?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 - -2892. What are the prime factors of s?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 5. Let j be o(-2). Let p = j - -1. Let l be (-54)\/(1 - 30\/12). What is the greatest common divisor of p and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 24 - 16 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 2*y - 2. Let p(v) = v + 5. Suppose -b = -5*k - 16 - 6, -2*b + 2*k + 4 = 0. Let g be p(b). Give n(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2571 and 0.0064.\nAnswer: 16.4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 8*i**3 - i**3 + i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 167, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*o + o. Suppose -s - 2*v + 10 = 0, 4*s + 2*v - 15 = 7. List the prime factors of s\/o + (-4775)\/(-55).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdzt when four letters picked without replacement from {f: 4, z: 4, d: 2, y: 6, h: 1, t: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29760, -29747, -29726, -29697, -29660, -29615?\nAnswer: -29562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 384163588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + -7268970.\nAnswer: -7268968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*t - 176 - 101*t + 26*t)*(0*t - t - t).\nAnswer: 2*t**2 + 352*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 0.03 (c) -0.5 (d) -6.3 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-5)\/105*(12\/(-38))\/(4\/(-76)).\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 2*c**3 + 6*c**3 + 4*c**3.\nAnswer: 8*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 2*w - 3. Let r = -25 + 15. Let h = -6 - r. What is the units digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.4865 rounded to 1 dp?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1003\/(-2))\/((-17)\/34). Suppose 13*b - 10025 = -k. What are the prime factors of b?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*b + 100 = 1192*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from hvyvyrhvnyh?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*2)\/sqrt(4))\/((sqrt(250) - (sqrt(250)*-1 + sqrt(250))) + sqrt(250)) + -2*(4 + (sqrt(245)*-2 - sqrt(5))))**2.\nAnswer: -2416*sqrt(5)\/5 + 23121\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 0.8, -184, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 23*k**2\/2 - 21*k + 33. Let p be g(24). Solve p = -0*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8342 divided by 18\nAnswer: 4171\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230781, 230773, 230763, 230757, 230761, 230781, 230823?\nAnswer: 230893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 - 1)*(-d + d + d) + 3*d - 2*d - 7*d)*(-1258*d + 734*d + 640*d) - 2*d**2 + 2*d**2 + 2*d**2 to f*d + i*d**2 + y and give i.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6609004667?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6827.28 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16169 is divided by 896.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = -17*c - 6*r - 15, -c = 3*r + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -129*b**2 - 3. Let z(a) = 63*a + 4. Calculate z(x(c)).\nAnswer: -8127*c**2 - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1430552391\nAnswer: -1430552388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/120)\/((-21)\/(-396)*4).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s + 169. Let u be v(17). Let j(b) = 2*b**2 - 2*b. Let t(i) = 2*i**2 - 3*i. Let x(k) = 3*j(k) - 2*t(k). Determine x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 186*j. Let r(d) = 5*d. Determine r(u(s)).\nAnswer: 930*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.357 + -0.227. Let i = -39.87 - -40. Let u = k - i. Put -6, u, -1\/5 in decreasing order.\nAnswer: u, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9798908*-19\nAnswer: -186179252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.96 - 3. Let d = -52252 + 52256. Sort l, d, -1\/3, 2 in ascending order.\nAnswer: -1\/3, l, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 4. Let h be u(-6). Let d be 4\/h - (-52)\/(-20). Let m = 12.2 + -12.7. Put 2, d, m in ascending order.\nAnswer: d, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.9536*-6.7\nAnswer: 53.28912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 925 (b) 1\/4 (c) -271 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 11) to base 4\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5 - 115. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 193968*o**4 + 11240871*o**3 - 52907046*o**2 + 82944468*o - 41084328 = 0. What is o?\nAnswer: 1, 2, 53, 64598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66 - 105 - 16 - 53*w**2 + 31 wrt w.\nAnswer: -106*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 15*k - 38. Determine q(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 - 11\/6*v**3 - 1\/20*v**5 + 19\/12*v**4 - 22*v**2 - 12*v. What are the prime factors of y(18)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 114. Calculate the remainder when 12 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354738023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 less than -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776385?\nAnswer: 5, 13, 27329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.4, -3, 5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2688 - -2688.5. What is the closest to -54 in 1, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times -60035\nAnswer: 96056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 22*j**2 + 26*j + 4. Let p(t) = 16*t**3 + 176*t**2 + 211*t + 34. Let w(a) = 2*p(a) - 17*u(a). Factor w(g).\nAnswer: -2*g*(g + 1)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 0.18.\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005618819 rounded to 5 decimal places?\nAnswer: -0.00562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*j + 66 = 0, 0 = o - 129*j + 131*j - 14. Let i(l) = 7*l**2 - 12*l - 237. List the prime factors of i(o).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.294466m in nanometers?\nAnswer: 8294466000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179*u**5 - 34*u + 77*u**2 + 1390*u**5 - 77*u**2 + 449*u wrt u.\nAnswer: 31380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 1\/3*q**4 + 0 + 1\/120*q**6 - 2\/15*q**5 + 0*q - 5*q**2 + 1\/3*q**3. Let o be a(7). Is o at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*g - 10, 20 = -5*m - 3*g - g. Suppose 2*o + 4 + m = 0. Is (1468\/(o - 2))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*q**3 + 32765*c**3 - 1616*c**2*q**4 wrt q.\nAnswer: 6*c**3*q**2 - 6464*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 23966721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 32, 0, 4 in decreasing order.\nAnswer: 32, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 5, b: 4}. Give prob of sequence pbnb.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**2 - 2 - 15*n**2 + 35*n**2 + 11 - n as g*n**2 + p + f*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4194 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 8*a**2)*(15*a**2 + 14*a**2 + 23*a**2)*(0 - 2 + 10).\nAnswer: -3328*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 658?\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1184 - 24\/(-5 + -1). Suppose 0 = 7*i - u - 506. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, d: 2, i: 1, t: 1, m: 1, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -23, -1.1, -39 in ascending order.\nAnswer: -39, -23, -1.1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v. Let f(l) = 120*l. Determine f(x(g)).\nAnswer: 1080*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 2*t**2 - t. Let o be c(-1). Let i = o + 5. Suppose -6 - 16 = -i*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 5*c - 2. Let u be d(-5). Let b be (-2 - u)\/((-6)\/3). Let f be (b - 1 - 1) + 2. Is f equal to -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378718 greater than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5084 is divided by 519.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -18*j - 2082. Suppose -5*o - 1 = 4, -4*o = 4*x + 80. Let c = 35 + x. What is the remainder when c is divided by a(-116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000165988093 to seven dps.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1) + 5 - (51 - 27 - 129)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + f + 11158 = 0, -55784 = -5*t + 5*f - 6*f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45925, -183684, -413279, -734710, -1147977?\n\"Answer: -45918*d**2 - 5*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*m + 5*n + 45, 0 = -3*n - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - -371. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215605.\nAnswer: 3, 5, 7, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83.10612 nanometers?\nAnswer: 0.00008310612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.06. Let g = 16.54 - u. Let q = 16.5999903 - g. What is q rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3)*(-9129960)\/463744?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) 5 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4 + 520*a**3 - 101400*a**2 + 8788000*a - 285610000 = 0?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 72*r - 29. What is the units digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - z = -11*g - 14*g - 6, 6 = 2*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*u + 232, -2*o = 7*u - 4*u - 170. Suppose -52*a = -u*a + 230. List the prime factors of a.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29+-164495.3\nAnswer: -164524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -657920 divided by -131584\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1407, -1409, -1411, -1413, -1415, -1417?\n\"Answer: -2*z - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.6853 - -7.91.\nAnswer: 60.5953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from {s: 3, z: 1, r: 1, w: 4, k: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(3 + -7) + 18\/(-4). Let b(q) = -3*q - 9. Let x be b(d). Is 15\/8 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 6. Let i(n) = n. Let t(d) = -5*i(d) - s(d). Let q(k) = 3*k**2 + 13*k - 12. Let a be q(-6). Suppose -7*b = -4*b - a. Give t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*c - c. Solve -c = -a + 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**2 + 118*p + 3235. Is 45 a factor of v(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*w)*(23 + 35 - 2) to the form d*w + k and give d.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -81. Which is the third smallest value? (a) q (b) -38 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3926, -7588, -10984, -14114, -16978, -19576, -21908?\n\"Answer: 133*m**2 - 4061*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*-1*5\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m - 3*m. Let s = 17 + m. Calculate the highest common divisor of s and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/5)*n)*n**(-4))\/((n*n**(-5\/2)*n)\/n**(-1)))**(-15) assuming n is positive.\nAnswer: n**(123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1836 and 1377?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 + 6*n - 10. What is o(4)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4 = -5*u - 1, 2 = -2*u + 5*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 2*b**2 - 2*b + b**3 - 2*b + 2*b**2 as l + m*b**2 + h*b + w*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6716472 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - -440.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 247\/585 + 2\/(-10). Let y = 3.8 + -4.2. What is the nearest to f in 6, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from hllllhlhllhhlllllll?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 0, 0 = -m + 2*z + 16 + 44. Calculate the lowest common multiple of 21 and m.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(2 + -7) - -19. What is the tens digit of ((-49)\/(-4))\/(65\/j - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1054\/(-93)*10\/(-24) and -151\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 53, 108, 179, 266, 369?\n\"Answer: 8*p**2 + 15*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12443451 (base 6) in base 2?\nAnswer: 1100100001011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.779 - -10.221. What is the smallest value in b, 5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(6\/17)*x)\/x*x)\/x)\/x**3 assuming x is positive.\nAnswer: x**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeqbqr. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 152 = 0. Suppose o*y = 42*y - 12. Determine s so that s**4 + 8*s**y + 1 - 4*s**3 - 4*s**3 - 2*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/12 - 31593\/18. Is h\/(-26) - (-1)\/2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 17, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1390 or 20834\/15?\nAnswer: 20834\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1900)*1)**2 + 0 + ((6*(sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171) + sqrt(171)*-2))))\/(sqrt(324)*1))**2)*3.\nAnswer: 240*sqrt(19) + 5748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*v - 9 = -4*l, 0 = -l - 2*v + 12. Let y be (4\/l)\/((-3)\/(-243)). Let m = 171 + y. Calculate the greatest common factor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 18. Let x(y) = 118*y**2. Determine s(x(q)).\nAnswer: 27848*q**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 1219 = -28*b + 581. Calculate the highest common factor of 1665 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3572 + 3538. Sort 2\/21, 3\/7, h in increasing order.\nAnswer: h, 2\/21, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22173440?\nAnswer: 2, 5, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8770, 10, -23, 5, 2, 0 in ascending order.\nAnswer: -8770, -23, 0, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2786 + 11007. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19876 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -433*r + 433*r + 620*r**2 to g*r**2 + i + h*r and give g.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -463a7c (base 15) in base 9?\nAnswer: -6271420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12817040 by 2563408.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -116765?\nAnswer: 116763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 2*a**2 - 4*a - 8. Let n be u(-3). Suppose 0 = 2*d - 4*d + n. Suppose -19 + d = 2*z. Calculate the least common multiple of 2 and z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a26 (base 15) in base 10?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*u + 61*u + 31*u + 44*u as c*u + l and give c.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20023695*z**3 + 13487594 wrt z.\nAnswer: -60071085*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149, -152, -167, -200, -257?\n\"Answer: -g**3 + 4*g - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: cb0 (base 14) to base 9\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 14. Let x(b) = 3*b**2 - 2*b - 1. Let o(h) = 7*h**2 - 5*h - 2. Let y(p) = -p**3 + 4*p**2 - 6*p + 5. Let s be y(3). What is k*x(i) + s*o(i)?\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24803*o = -24767*o + 792 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from {f: 1, e: 1, x: 17}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 59?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029954562 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-8\/3))**(-20\/9)\/((h*h*h**(-5)*h**6)\/(h**(-2\/5)*h**(-2\/15))) assuming h is positive.\nAnswer: h**(-3031\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*r**3 + 0 + 0*r**2 + 0*r - 1\/5*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 1 - 7*f**2 + 3 to the form v*f + x + l*f**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 2\/155895 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, p: 2, g: 3, m: 4, f: 1, x: 1}. Give prob of sequence mfq.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1564533 to the nearest one thousand.\nAnswer: 1565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-27)\/6 + 4)*0. Find the first derivative of -40 - 46*k + 173 - 20*k + z*k wrt k.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 13*j**2 + 10*j - 2. Suppose -c - 7 = -1. What is the tens digit of o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 232 = 5*l + 3*o, -185 = -3*l + 5*o. Are l and 60 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.899015l to millilitres.\nAnswer: 4899.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -15. Let l be m\/(4 - 2 - 3). Solve l*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 0*v + 9*v. Let h(i) be the first derivative of -2*i**2 + 2. What is a(h(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w + 4*w**2 + 2 - 2*w**3 + w**3 + 1 + 0. Determine s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1517, -1512, -1507, -1502, -1497, -1492?\n\"Answer: 5*b - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - o + 7 = 4*o, 4*o = 4. Sort 4, l, 5, -5 in increasing order.\nAnswer: -5, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + i - 20, -147*z = -149*z + 10*i - 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 121274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/217 - (-198)\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2512108, -2511958, -2511808, -2511658, -2511508?\nAnswer: -2511358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5792 and 1935614.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n**2 - 49*n**2 + 90*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 22. Let d(l) = 3*l**3 - 4*l**2 - 53*l + 213. What is the remainder when d(4) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-22) - (1090\/110 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6362*k*v**2 - 5*k*v - 251*k + 17393504*v**2 - v wrt k?\nAnswer: -6362*v**2 - 5*v - 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159889481 a multiple of 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 5 = 0. Let u(v) = -3*v - 4 + 5*v**2 - 3*v**2 - v**2. What is the units digit of u(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578205 is divided by 28909.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6446\/7618)\/((-1)\/(-13)). Suppose 5*n - 2*n = 24. Put -2, n, o, 1 in decreasing order.\nAnswer: o, n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a*a*a\/(a*a**(-10)))\/a))\/a)\/(a**12*a))\/((a\/(a\/(a*a\/(a\/(a\/a**6))))*a)\/a**(-3)))**11 assuming a is positive.\nAnswer: a**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 - (3 - (-18)\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1507 times 40910\nAnswer: -61651370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:14 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -3 (c) -4 (d) -3.2081 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + (0 - (1 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 1. Let c(t) = 7*t**3 + 9*t**2 - t - 12. Let i(a) = -c(a) - 4*f(a). Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-40)\/32 - 68\/(-48))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 18. Let b be d(-15). Let n = b - -55. Put n, 2, 3 in increasing order.\nAnswer: n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3608173 - -6?\nAnswer: -3608166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 736*k - 67712.\nAnswer: -2*(k - 184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2817, -2820, -2837, -2874, -2937, -3032?\n\"Answer: -o**3 - o**2 + 7*o - 2822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f + 6. Let x be w(-4). Which is bigger: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45682442 and 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/10 + 29\/30. Let q be (5 - 1) + (-1 - 0). Suppose 0 = -q*i - 15, -3*i - 15 = 2*j - j. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -1 (b) 2 (c) -518 (d) 0.3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6.018. Let v = c - -0.03. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67118, -133181, -199244, -265307?\n\"Answer: -66063*s - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732373.\nAnswer: 732373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 234264381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + s = -2*s + 27, 2*j - 2*s = 10. Let o(i) = -i + j + i**3 - 4 - 4*i**2 + 15*i**2. What is the tens digit of o(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154401 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1901\/1957 (b) -0.5 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (51 - 4) + 67 + -56 + -5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80198 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 21*q**2 - 12 - 6 + 9*q + 23. Let c(h) = 10*h**2 + 4*h + 3. Let z(b) = -9*c(b) + 4*v(b). Let p(i) = -i. Determine p(z(t)).\nAnswer: 6*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Let v be 9 + -2 - w\/4. Solve 9 = -3*r - 0*t - 2*t, 3*r + t = -v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 258*q**2 - 4974*q - 707. What is f(237)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 + 5*z**2 + 5*z**2 + 15*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28951129 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -3 - (4 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 9. Let z be p(-8). Suppose -322 + 338 = 8*f. Solve n - z = -f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 778.7911 - 775.07. Let q = k - 3.96821. Let v = q + 0.246. What is v rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {g: 9, d: 4, i: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19636 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 6*n + 3*n)*(5*n**3 - 5*n**3 - 8*n**3) to the form f*n**2 + i + z*n + a*n**3 + u*n**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2510.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 7*n - 21. Suppose 0 = q - 5*q - 408. Let j be q\/(-14) - (-2)\/n. Solve j*t - 4*t = 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8676*m**2 - 1422*m + 4 = 0.\nAnswer: -1\/6, 2\/723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2498 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-80) + (-28)\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*a, z - 6*a = -8*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-192))\/((-1)\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-966)\/(5\/(160\/(-48))) is divided by 127.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o - 3. Let i(d) = 30*d. Determine n(i(w)).\nAnswer: 630*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1419834947 to the nearest integer?\nAnswer: 37681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798 - 9\/3*(-21)\/21 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z - 8. Let v be j(9). Suppose -22 + 2 = 4*q. Let a = 7 + q. Solve 0 = -5*f + f + 12, -v = a*l + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373902 greater than or equal to 373901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**4 - 2*p**3*x**3 + 5*p**3*x - 89*p**2*x**3 wrt p.\nAnswer: 168*p - 12*x**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, 0.3, -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.5, -13 in decreasing order.\nAnswer: 3\/5, 0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 69. Let h(x) = -84*x + 8820. Let r(a) = -a + 108. Let i(f) = 6*h(f) - 490*r(f). Determine i(j(u)).\nAnswer: 56*u + 966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1105 or 18?\nAnswer: -1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - v + 40 - 37 + v**3 to x*v + s + b*v**2 + a*v**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32689, -130689, -293997, -522613, -816537, -1175769?\n\"Answer: -32654*s**2 - 38*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1899*j**2 + 1 - 30*j**2 - 165*j**2 + 1651*j**2. Let k(a) = a. What is k(z(o))?\nAnswer: 3355*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 337 - 5*x**2 - 4*x - 4*x + 449*x**3.\nAnswer: 449*x**3 - 5*x**2 - 8*x + 491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 7. Suppose 3*s - 2*u = 24, -5*s = 3*u - 19 - 2. Solve 0*h + 11 = -h + a*g, -g + s = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:19 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = -2. Let u be (-1 - 0) + (k - -10). Suppose 0*i + 16 = 2*i. Solve -u = 3*x + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -8*j - 930. Suppose -j*l - 10 = -98*l. Solve 4*m = -l*h - 2, 27 = h + 2*h - 4*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((41679\/(-12))\/(-11))\/(3\/32).\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -9\/2 (b) -1.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 62. Let g = x + 7. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*t + 1471*t**2 + 776*t - 393*t as f + b*t**2 + r*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031689751?\nAnswer: 3, 7, 13, 23, 491, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 675 - 657. Let r(c) = -c**2 - 9*c - m + 15*c - 7*c. Calculate r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*y = 8*y - 108, 5*y - 42 = -h + 62 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215 * -1019371.\nAnswer: 219164765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crqrarniaqqinqr. Give prob of picking 2 r and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2733160813 - 1\nAnswer: -2733160814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-31)\/(r\/(r\/(r\/(r\/r**21*r))))*r**(-19)\/(r*r*r*r**22))**(20\/7) assuming r is positive.\nAnswer: r**(-1900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.1. What is the nearest to -1\/4 in 0.2, z, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10818)\/(-306) + 150\/(-425)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 24*n - 61. Let y be m(21). Let v be 410*y\/24 + 10\/12. Solve 0 = 3*o - 4*u + v, -16 = 3*o + u - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, 0, 110, 274, 498, 788, 1150, 1590?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, 1093831, -7\/6, -1\/2?\nAnswer: 1093831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/15)\/(-4))\/((-40)\/(-100))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73533 + 0?\nAnswer: 73533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 45*w**2 - 20*w - 810. Let j(p) = 2*p**2 - p - 19. Calculate 20*j(l) - o(l).\nAnswer: -5*l**2 + 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300111 (base 6) in base 15?\nAnswer: 2488d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*z - 144, 19*u - 354 = -0*z - 8*z + 6*z + 262 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 195, -3 in descending order.\nAnswer: 195, 48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 50*s**2 + 626*s + 16. Determine u(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1400 and 18310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4204134 (base 5) to base 11.\nAnswer: 48075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/108 + (-7)\/(-6). Let u = -411\/7 - -59. Which is the third smallest value? (a) u (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, j: 3, n: 8}. Give prob of sequence nh.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = 3*y + 4, 3*b + 4*y + 13 = 0. Suppose -s = -h + 3, 0*s - 3*s = 4*h - 12. Suppose 0 = -n + 5*w + 2 - h, 0 = n - 4*w. Solve n*l - 13 = -b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127369 + 74028. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -1.0257?\nAnswer: -1.0257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 6\/5 (c) -138242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 662 = 4*m + 4*g, -2*g = -m + 163. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10686702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 191*u - 575. Let z be s(3). Let w = -7 - -18. Which is the nearest to z? (a) w (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h**2 + 9*h**2 - 11*h**2 + 0*h**2. Let j(l) = 2*l**2. Give j(d(x)).\nAnswer: 1152*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 39*z + 13. Determine m(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**4)\/y)\/((y**(-3\/4)*y*y)\/y))**(-6\/29)*(y**(4\/3)*y\/(y**(-1)\/y))**(2\/79) assuming y is positive.\nAnswer: y**(13595\/13746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -97. Let o = v + 5. Suppose -75*n + 131 = -678 - 166. What is the remainder when o is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 487482 and 1130.\nAnswer: 2437410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = x - 15, -348*y + 353*y + 30 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 12*n - 594 = 0. Let o = -49 - -111. What is the remainder when o is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -40*y**2 + 5*y - 100. Let q(k) = -119*k**2 + 14*k - 280. Let f(m) = -5*q(m) + 14*x(m). Let p(r) = -106*r**2. What is p(f(t))?\nAnswer: -129850*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21330 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g**2 - 3*g**2 - 4*g**2 + 2 - 2*g**2 - 2 + (-2 + 3 - 2)*(-3*g + 5*g**2 + 3*g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**5 + 2730*y**3 - 25666*y**2 wrt y.\nAnswer: -180*y**2 + 16380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5107246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 4. Let b be t(-3). Suppose b*o + d - 4985 = 0, -o + 1627 = d - 863. What is the first derivative of -o*c - 3*c**2 - 27 + 2495*c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11396 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -32?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*q - 175*q = v + 3*v - 12, -46 + 373 + 398 = -3*v + 185*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.3 - 54. Let p = 1.6 - l. Which is greater: p or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7250284.\nAnswer: 2, 1812571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4667658 and 124?\nAnswer: 289394796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -28*f**3 + 15*f**2 + 379*f + 19. Let o(m) = 13*m**3 - 7*m**2 - 193*m - 9. Determine 6*h(l) + 13*o(l).\nAnswer: l**3 - l**2 - 235*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**2 - 4 - 6*b - 12*b**2 - 3*b + b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137 + 113 - 8748*k + 46 + 8769*k - 76 wrt k?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 44*b**2 + 49*b + 88. What is u(-45)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 11) to base 3.\nAnswer: -21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 + 26*q - 17. Let y = 58 + -64. Let s(p) = -2*p**2 + 9*p - 6. What is y*g(n) + 17*s(n)?\nAnswer: 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87926.68 decades in millennia?\nAnswer: 879.2668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 7:19 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3751*z - 8192*z + 4496*z.\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5237832 - -5237831.1141123. Let k = -0.886 - y. What is k rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/10)\/2 - -25*108\/2250.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149975423.3 to the nearest one million.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845424.\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2561 is divided by 839.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1.1. Let s = -0.1 + r. Let t = -31.4 + 31. Which is the nearest to 2\/3? (a) s (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35264 minus 189.4?\nAnswer: -35453.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.086 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*v - 8*v + 35, v + 2*j = -2. Suppose -v = 31*g - 35*g. Suppose -536 = -g*m + 278. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - l**4 + 1 - 22*l**4 + 22*l**4 + 41*l**4 + (-l**2 - 3*l**2 + 6*l**2)*(0*l**2 + l**2 + 0*l**2) + (4 - 4 + 3*l)*(2*l**3 - 2*l**3 + 2*l**3).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4631\/30 + 572\/15. Let x = m - 189. Suppose -54*r - 70 + 340 = 0. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3655932 and 3133656?\nAnswer: 21935592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 11\/4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - r + 380 = 0, -2 + 0 = r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9507, 1 in decreasing order.\nAnswer: 1, 0, -9507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 19 = -5*f, f - 6*f = -4*r + 16. What is the tens digit of 20 - (1*f)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*b = -185*b - 20292. Let i(u) = u**3 + 10*u**2 + 6*u - 6. Calculate the remainder when b is divided by i(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2905 and 0.3.\nAnswer: 2905.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k + 254. Let a be t(-18). Solve 0 = a*j - 1 + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 150, 4, 4169 in descending order.\nAnswer: 4169, 150, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:40 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/7 - 133450*c**2\/7 - 19064*c = 0.\nAnswer: -66724, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 54885.\nAnswer: -54885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*p + w, -3*p - 5 = 3*w + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3 + 16*l**2 - 35*l + 18 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 18. Let d = i + 3. What is the tens digit of ((-4)\/3)\/(d\/(-882))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16581 = -11*m + 14*m, 16584 = 4*v + 4*m. What are the prime factors of v?\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15246 - 12408. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.06 + -15.96. Let p = -14 - -4. Which is the nearest to i? (a) p (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + (-1 - -3 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + (-17 + -1 - (281 - 280)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6521 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.54 + -5. Let r = f - 0.04. Let p = r + 0.5. Is p not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/900 - z**5\/50 + z**4\/180 + z**3\/5 - 5*z**2 - 27*z. Factor q(a).\nAnswer: -2*(a - 1)*(a + 1)*(a + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015186 rounded to 7 dps?\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6475\/6 - 4351\/4. Let u be (-25 + 21)\/(5\/(255\/6)). Calculate the common denominator of n and 460\/(-6)*u\/(-136).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let k(y) = -879113*y + 98. Calculate t(k(g)).\nAnswer: 1758226*g - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*x - 894 + 911 = 0, -4*j = 5*x - 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9347429cm to nanometers.\nAnswer: 9347429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31342 (base 5) to base 12\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60460, -241005, -541924, -963223, -1504908, -2166985, -2949460, -3852339?\nAnswer: -4875628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 12) to base 4.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**2\/3 + 1136590*c\/3 - 64591841405\/3 = 0.\nAnswer: 113659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + -3.2. Let h = s - -8. What is the second biggest value in 1, 0.5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 1b1a?\nAnswer: 1b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 10 in decreasing order.\nAnswer: 10, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - n - 7, 4*x = 2*n - 3*n - 31. Let b(c) = 5 - 819*c + 1591*c - 770*c. Give b(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*p**2 + p - 20*p**2 + 144*p**2.\nAnswer: 256*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489\/4 + -122. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.442096 + 13\nAnswer: 27.442096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-394)\/5)\/(5\/(-25)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -356*t**3 + 10*t**2 + 5*t - 3. Let d(m) = -178*m**3 + 6*m**2 + 3*m - 2. Calculate -5*d(c) + 3*h(c).\nAnswer: -178*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29500 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75381*l**2 + 16*l - 644667 wrt l.\nAnswer: 150762*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - -7) + (-60 - -41) + -81.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 10. Let c be k(8). Let x(i) = i - 1. Let j(m) = 2*m**2 - 4*m + 4. Give c*x(p) - j(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5604?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -80*t - 1. Let g be o(1). Let w = g - -134. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26314, -29033, -33566, -39913, -48074?\nAnswer: -58049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m - 9*m - 19*m - 33*m)*(-8*m + 14*m + m).\nAnswer: -329*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 4, -4, -68, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(0*o + o - 2*o) + 6 + 4*o - 6 + (-6 + 3*o + 6)*(17 + 4 - 4).\nAnswer: 58*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 5*t + 3. Let a be x(-6). Let u = -34 + a. Let j = 67 + u. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -223\/3094 - -4\/119. Suppose 3*w - 14 = -4*u - 2*w, u - w + 1 = 0. Is l >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101995996 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1851172, 1851164, 1851156, 1851148, 1851140?\n\"Answer: -8*r + 1851180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:54 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19954 = 2*q - 3*t, 39908 = 4*q + 24*t - 21*t. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0172818 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487 + 487. Solve 5*a - 5*k = a + 17, u = -5*a + 2*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (50\/(-15))\/(1\/(-36)). Let g(f) = -16*f**3 - f**2. Let o be g(-1). What is the greatest common divisor of b and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 + 8*b + 7. Calculate a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144629502 and 1656063.\nAnswer: 433888506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 356*o. Let u(i) = -107*i - 2. Give q(u(p)).\nAnswer: -38092*p - 712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -706646 (base 8) in base 4?\nAnswer: -320312212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -778\/885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 2*v - 3*v - 9*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(110)*-2)\/((sqrt(70)*-2)\/sqrt(7)) - 6*(0 + ((sqrt(110)*1)\/sqrt(10))**2).\nAnswer: -66 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-50)\/(-18) - -1. Let s = 5.8 - -20.9. Let g = -27.8 + s. Which is the third smallest value? (a) -5 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10 + 9*q**2 - 8 + 32*q - 5*q**2 + 28 - 5. What is the tens digit of g(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 7)*134\/(-2). Suppose 2*d + c - 72 = 3*c, -2*d + c = -l. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13520 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20829 - 20830. Sort 24, -115, h in increasing order.\nAnswer: -115, h, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - (1 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 < 34707\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220222 + -1021?\nAnswer: -22222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111058 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70786412?\nAnswer: 2, 17696603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -0*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*c*y - 5787620*a**2*c - 21*a*c*y + 274*a*c - 66*a*y - a wrt a?\nAnswer: -4*c*y - 11575240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7844 + -4301. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**0\/b)\/b)\/b)\/(b*(b**(-4\/3)\/b)\/b)*((b\/(b**(3\/8)\/b*b))\/b)\/(b**(-1)*b*b))**(-48) assuming b is positive.\nAnswer: b**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k**2 - 4*k**2 + (0*k + 3*k - k)*(2*k + 3*k - 2*k) + 2 + 2*k**2 - 2 - 3*k**2 - k**2 - 4*k**2 in the form b*k**2 + r*k + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5318 + 902 = -368*k. What is the highest common factor of 5196 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let x = -53 + 52.635. Let s = x - -0.065. Which is the nearest to v? (a) s (b) 4\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (39\/(-26))\/(72\/(-912)). What is the greatest common factor of 2584 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 1820 = b - 5*g, 0 = -b + g - 364. Is b at least as big as -364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + 156 - (14 + (1 - -2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 4, -3317 in increasing order.\nAnswer: -3317, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1596 divided by 12.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1120 and -161\/12964800.\nAnswer: 90753600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 21\/9. What is the nearest to 0 in -2, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 4*b + 6. Suppose 10 = 4*g + 3*u, 2*g - 4*u = -0*u + 16. What is m(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -27 + 54*t + 37\/2*t**2. What is the derivative of c(q) wrt q?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*l - 125 = 0, 0 = -5*j - 5*l + 108 + 32. Let q = j - 11. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1, 2\/13, 0.04, 6\/89?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10)\/((-3)\/(-2)). Put m, -2, -0.17 in ascending order.\nAnswer: -2, -0.17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363150 (base 7) to base 16.\nAnswer: 10194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 201, 203?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/2077, -4, -1\/3, -3, -2\/5, 1\/16?\nAnswer: 2\/2077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*o - 51*o - 43*o in the form b*o + d and give b.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2319 (c) -0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)*-3*-2. Suppose 0 = -5*d - 3*y + 167 - u, -3*y = -2*d + 56. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let g = -2 - 0. Let r be z(g). Let y = 1.9 - 2. Which is the biggest value? (a) y (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 1. Let o(l) = 11*l - 7 + 2 - 9*l - 10 + 16. Let k be 1 + -2 + (-9)\/(-3). Calculate k*o(n) + 3*y(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*j - 38, 3 = -d + 4*j - 3. Suppose -1 = 3*i - d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 57.52. Round a to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023 take away 11.8?\nAnswer: -2034.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:59 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*u - 184, -257 = -5*q - 2*u - u. Let c be (-2 - -4)\/((-6)\/(-9)). Suppose 4 = a - c. Calculate the greatest common factor of q and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128558455 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10030.96 rounded to the nearest 10?\nAnswer: -10030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 121 = -3*h, -2*h - 40 - 23 = -k. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/151 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 257954160 to the nearest 100000.\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 25 - 67 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.2 times 0.3?\nAnswer: 247.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-52 - -28) - 37.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/34*8\/20.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 126 = -2*u, -2*u + 3*u + 117 = 4*v. What is the least common multiple of v and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.9696769 to two decimal places.\nAnswer: 15.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.1508.\nAnswer: 0.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.1 (b) 3 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 7, d: 2, g: 5, h: 3, f: 1}. What is prob of picking 1 h and 1 f?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3020004 and -41\/6.\nAnswer: 3020004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b*b**(1\/16)\/b*b assuming b is positive.\nAnswer: b**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -i, 2*i - r - 3*r + 16 = 0. Let f = i + 8. Factor f*u**2 - 3*u + 0*u + 5*u.\nAnswer: 2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:50 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*f**3 - 410*f**3 - 497*f**3 + 1140*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 6*c = 0. Let v(z) = -z**2 - z - 5. Determine v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-28)*63\/54. Is 2 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0 (b) 0.065 (c) 961 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = -2*c, -3 = -2095*m + 2092*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*a + 13, 6*y - 5*a = 5*y - 2. Suppose -20 = 5*u, 1021 + 12231 = -2*b - y*u. Round b to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5179188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - (1 + -3 - 68)) + -2 - 1) + -8.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(9 + (-341)\/44). Solve 0 = -5*r + a - 17, a + 26 = -2*r + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 43. Let k(v) be the first derivative of 0*v**2 + 0*v - 2\/3*v**z - 3. Let p(h) = 3*h**2. What is k(p(o))?\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - u + 1. Suppose 20 = 8*q - 12*q - 4*g, -2*q = -2*g + 18. Let h(k) = -10*k**2 + 2*k - 2. What is q*d(l) - 3*h(l)?\nAnswer: -5*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k - 9\/8*k**2 - 3\/8*k**4 - 3\/2*k**3.\nAnswer: -3*k**2*(k + 1)*(k + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.052359 - 2.278\nAnswer: -2.225641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/42*(56\/(-22))\/1. Let k be (56\/(-4) - -6) + 5. Is j <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29671729*y**6 - 45069761*y**2 wrt y?\nAnswer: -3560607480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 10. Let l = 12 - s. Suppose 4*c + 4*q + 21 = 5*c, q - 6 = -c. What is the remainder when l is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (0 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.3 + -41.3137. What is c rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -18 - (-36 + -36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 0.4, -1\/6, 1, 314\/3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16980, -33971, -50962?\nAnswer: -67953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 - 4*u. Let v(a) = a**3 + 3*a**2 - a - 2. Let h be v(2). Let w(f) = -f**2 + 17*f + 19. Let y be w(h). Let s = y - 38. Determine j(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 12, -2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r + 0 + 1 = 155 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iih. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.09 - -94. Let w = 0.19 + x. Let n = w - -1.9075. Round n to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*p + 3, -5*p + 13*c - 8*c - 5 = 0. Let y be (4\/(-420))\/((-6)\/9). Are y and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from cnggbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*r + 67 - 57 = 0, -4*j - 2*r - 61*r = 150 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3573143, -3573138, -3573131, -3573122, -3573111, -3573098?\n\"Answer: s**2 + 2*s - 3573146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87479977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572865643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377379 (base 11) to base 12.\nAnswer: -248692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 - 752?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 139294133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*v**2 - 501*v**2 + 24*v - 14*v - 10*v + 1282*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*o - 14, -4*g - 2 = -7*g + o. Suppose -g = 7*s - 16. Solve 9 = 3*z - s*v, 5*v - 4 = 4*z - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 11*s - 3. List the prime factors of b(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/4))\/w*((w*w**(2\/13))\/w)\/w)**(2\/63)*(w\/(w\/(w\/(w**(-1\/3)*w))))\/(w*w**(-3))*w**2\/(w**(-2\/13)*w) assuming w is positive.\nAnswer: w**(439\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43595.2838 - 43611. Let d = z - -15.7. What is d rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2954, -5 in decreasing order.\nAnswer: -1, -5, -2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*f**3 + 253*f**2 - 253*f**2)*(549*f - 549*f + 32*f**2).\nAnswer: 1056*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -232*u + 9. Let f(p) be the third derivative of 29*p**4\/12 - p**3\/3 + 2*p**2 + 553. Give 9*f(v) + 2*o(v).\nAnswer: 58*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815?\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 258 = 10*c. Is 114\/17 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 447*r - 102. Is s(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.109 to three decimal places.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 12*u**3 - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 877*c**2 - 24*c - 43. What is the thousands digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 7. Solve 3*g = -l - 8, 0 = 3*m - g + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8067.996337 - 8068. Round z to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j*n**2 + j*n + j - 9156*n**2 + 23*n + 269 wrt n.\nAnswer: -24*j - 18312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 8*i**3 - 14*i**3 + 6*i**5 - 7*i**4.\nAnswer: 3*i**3*(i - 2)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**2. Let n(w) be the second derivative of w**6\/240 + 7*w**4\/3 - 21*w - 2. Let g(o) be the third derivative of n(o). What is g(q(t))?\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3894 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 782081177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 34 = -58 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-5 + sqrt(11) + (sqrt(22)*1)\/sqrt(2)) + (sqrt(4752) - 2*sqrt(4752) - sqrt(33))\/(sqrt(3) - (sqrt(243) + -2*sqrt(243))))**2.\nAnswer: -46799\/50 + 282*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 1178161.\nAnswer: 120\/1178161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129286135 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 2, -698, -0.5 in increasing order.\nAnswer: -698, -3, -2\/3, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Suppose q = -4*q + 10. Let u be (7\/14)\/(q\/24). Let r(h) = 8*h - 7. Determine u*m(s) - r(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -875257 or -875261?\nAnswer: -875261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.66 - -35. Let h = -8.34 + x. Is h at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*h**3 + 582*h**3 + 530*h**3 - 1679*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 8. Let l(z) = 15*z - 17. Let g(q) = -13*k(q) - 6*l(q). Let w be g(6). Solve 1 = 2*v - p, -3*p - 6 = -w*v - 5*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 118, 537, -3 in descending order.\nAnswer: 537, 118, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (1 + 2)) + -21 + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412462, 412450, 412430, 412402, 412366, 412322, 412270?\nAnswer: 412210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*3*100*64*143\/27456\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-3))\/(-4))\/(507\/3380).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4 = 4*v, 4*v - 4835*o + 4838*o - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3, 20 = -5*j + 3*i + 28 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s = 69*s + 4*k - 1776, s - 3*k - 868 = 0. Is s a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 3. Let b(z) = -7 - 2 + 15*z - 5. Let x(w) = 2*b(w) + 11*s(w). Suppose 4*g + g - 20 = 0. What is x(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9480, 9291, 9088, 8865, 8616?\nAnswer: 8335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 3*f + 10*q, 5199 - 5189 = -5*f + 2*q - 4*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -3179?\nAnswer: -3179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9810 and 68\/6867?\nAnswer: 68670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1.1. Let f = -8079 + 8079.4. Sort f, 3, b, -8.\nAnswer: -8, b, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - r = -12. Sort 4, 1, r in descending order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 1397, -2, 2, -11, -1 in descending order.\nAnswer: 1397, 11, 3, 2, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190953 and 763812?\nAnswer: 763812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 25. Let v be m(10). Suppose -t = -v*c - 4772356 - 32577644, -37350000 = 5*c - 2*t. What is c rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-3)\/(-6)*0. Suppose 1 = -2*n + w, 3*r + 4*n = 18. Suppose r*q = 5 - 3, 3*c - 26 = -2*q. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504\/882 + 2544\/7 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 + 8*b + 9. Let l be s(7). Suppose -15*t - 2 = -l*t. Suppose -2*c + 253 = -3*y, -3*c - 2*y + 405 = t*y. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -14, -8, -2?\n\"Answer: 6*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(2*sqrt(475) + sqrt(475) - sqrt(475)))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + b**2 - 2*b - 2. Let i be s(3). Let f = i - 54. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*c**2 + 3)*(c**2 - 46 + 46) + (-2 + 2*c + 2)*(-3*c**3 + c**3 + 4*c**3).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 3*v**3 + 52361535 - 52361535.\nAnswer: -3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 59*s**2 - 2. Suppose 0 = -3*p + 7 - 1. Let i be y(p). Let h = 341 - i. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 6.82353.\nAnswer: 4.82353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -39. Let i be (q*-3)\/((-30)\/20). Suppose -3*s = 5*t - 287, s - i = -2*t + 3*s. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22913430?\nAnswer: 2, 3, 5, 19, 61, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*p**5 - 5*p**4 - 4*p**2 - 1766*p - 5 wrt p.\nAnswer: 620*p**3 - 60*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + -3 - (9 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2497, -10618, -24349, -43678, -68593, -99082?\nAnswer: -135133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - -2?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1278.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.245? (a) -1\/2 (b) 4\/7 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*q + 5*v, 0*v - 13 = -2*q - 3*v. Is (1072\/q - -5)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 - 3*r**3)*(1 - 1 + 2*r) + 4*r**4 - 8*r**3 - 5*r**3 + 14*r**3.\nAnswer: 2*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3301 = 3233 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23214 is divided by 214.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 360617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31265 + -0.01265. Sort -2, 1, v, -3.9, -5.\nAnswer: -5, -3.9, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 3}. Give prob of picking 3 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = -25. Which is the closest to -1\/6? (a) 4\/5 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254316?\nAnswer: 2, 3, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 2:46 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -708.4 - -651. Let k = l - 2.6. Let w = 59.7 + k. Put w, -0.5, -2\/13, 4 in ascending order.\nAnswer: -0.5, w, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-430))\/((-3)\/4)*20\/20?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Let v(y) = -51 + 51 + y**u. Let s(i) = -17*i - 13. Let z(j) = -4*j - 3. Let n(d) = -6*s(d) + 26*z(d). What is n(v(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301303130 (base 4) in base 6?\nAnswer: -13554020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h - 7. Let q be i(-5). Suppose 18 + 12 = q*g. Suppose k - v + 4*v = 17, -5*k - v = -29. Solve 0*y + g = k*y + 5*f, -f + 4 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 355 = 125. Calculate the greatest common divisor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802 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: Evaluate (-8 - -16) + -4 - (-24 + (12 - 17)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36100 is divided by 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:02 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/616 and 81\/68744.\nAnswer: 5293288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/r**(-3\/2))\/(r**1)**(-33)*r\/(r*r\/(r*r**6)*r)*r**(2\/21)\/r*r*r*r**(-9)*r*r*r**(-1)*r assuming r is positive.\nAnswer: r**(1537\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**5 - 3*c**2 + c**2 - 4*c**5 + (-5*c + 3*c**3 + 5*c)*(0*c**2 + c**2 + c**2) - 2*c**5 + 1 - 1.\nAnswer: 6*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 164418*p - 164413. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 6*i - 30. Suppose 10*b + 73 = -57. Let g be j(b). Suppose 4*o = -2*h + 6*h + g, h = -o + 177. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 3*l + 4*l + 11*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from evvvvevveevvfvvvev.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 = z, 0*z - 3*z + 3*m = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4700 = -5*q, p + 5*q - 3*q = 935. Suppose -4*w - 3*h - 20 + p = 0, 0 = -5*h - 25. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 771434180 to the power of 1\/2, to the nearest integer?\nAnswer: 27775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/8*-1)\/1*-13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1.4, 0.1 in ascending order.\nAnswer: -19, -1.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 4, n: 4, l: 1}. Give prob of sequence lnn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o**4 + 21*o**3 + 0*o**5 + 0*o - 17\/20*o**6 + 4 + 11*o**2. Find the first derivative of d(s) wrt s.\nAnswer: -306*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2900 divided by -4.\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2457*z + 1417*z = 331*z + 558*z - 191040 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/4)\/(2\/8). Let m be (4\/3)\/((-6)\/q). Solve 0 = 5*l + 4*j, -l - m*j = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1031, 1030, 1029, 1028, 1027?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30 = 3*a. Let r be (8\/(-12))\/((-2)\/a). Is r <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 4*i**2 - i. Let h(j) be the second derivative of 0 + 0*j**2 - 5\/12*j**4 - 9*j + 1\/6*j**3 - 3\/20*j**5. Determine -4*h(f) - 5*y(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -57, 790, 3, -0.184, -0.1 in increasing order.\nAnswer: -57, -1, -0.184, -0.1, 3, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 5*c - c, -c - 5 = -3*m. Let n be c\/(-6) + (-4400)\/(-12). Suppose -4*b - b + n = 4*y, -5*b + 358 = 2*y. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:44 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**3 - 89*d**2 - 50*d - 239. Determine r(23).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 10 + 5 + 5.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(95) + 3*sqrt(95))*3)\/(sqrt(35)\/sqrt(343) - sqrt(5)) + 4.\nAnswer: -14*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deideieddddddedd. Give prob of sequence ee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 667590876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 352*d**2 - 82*d**2 - 29*d**3 - d - 189*d**2 - 85*d**2.\nAnswer: -29*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-7))\/((-15)\/(-140)). Let d = y - 17. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 0.75.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222002 + 250?\nAnswer: -221422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.505833\nAnswer: 2.023332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2089, -2177, -2251, -2305, -2333, -2329, -2287, -2201?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*l + 23 = -y, 4*y - 2*l = 4. What are the prime factors of (-1)\/(y*(-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - -1*((sqrt(108) - sqrt(108)*-4) + sqrt(108))))**2 - ((sqrt(132)\/(sqrt(33)\/sqrt(3)))\/sqrt(4))**2.\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let t(l) be the first derivative of -7*l**2 - 16. Determine t(w(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3))\/(128\/12 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2120 or 2122?\nAnswer: 2122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2427*z - 19407. Calculate m(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h**2 - 7*h - 11. Let d(i) = i**2 - 9 - 11*i + 26 + 2*i. Let f be d(5). What is the units digit of n(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((20\/36)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11214393, 11214399, 11214405, 11214411, 11214417?\nAnswer: 11214423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times 1965?\nAnswer: 137550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*z - g - 3*g, 0 = -3*z + 2*g - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l - 3. Let f(u) = u**2 - u + 2. Let y(t) = 4*f(t) + 3*j(t). Suppose 0*d - 2*d + 4 = 0, 0 = -5*q - 3*d + 1. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137114.068 rounded to the nearest 10?\nAnswer: -137110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2046*k**4\/5 + 589228*k**3\/15 + 6284672*k**2\/5 + 67022848*k\/5 - 131072\/3.\nAnswer: 2*(k + 32)**3*(3069*k - 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + -5 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -222 + 47. Suppose -3*k = k - 80. Suppose -a*b + k*b + 10 = 0. Solve b - 4 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5668 (b) 0.5 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**5\/5 + p**4\/2 - p**3 - 3*p**2 + 15*p - 3. Let l(r) = -r**3 - r**2 + r + 1. Determine 30*l(j) + 5*m(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + y**2 + 132 - 67 + 27781*y.\nAnswer: y**2 + 27781*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2844676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(76) + 1 - -6*(-1 + sqrt(76))) + -5)**2*-1 + -1.\nAnswer: -4001 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 608 * -3.\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + 3.84. Let g be (-3)\/(-18)*(-18)\/(-4). Which is the nearest to -2? (a) f (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17564 is divided by 2435.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 2*k**2 - k - 1. Let n be q(-2). What is the units digit of ((-2)\/(-4))\/(n\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -0.22 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - -8)*(-54 - 2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15*a**2 + 4*a + 4. Let r(q) = -56*q**2 + 47*q + 11. Let v(i) = 615*i**2 - 525*i - 120. Let o(b) = 45*r(b) + 4*v(b). Calculate -15*h(j) + 4*o(j).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25290, 25289, 25288?\nAnswer: 25287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1234*c**3 - 4*c + 8. Let m(g) = -41955*g**3 + 135*g - 270. Give -4*m(w) - 135*v(w).\nAnswer: 1230*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d**3*g - 2*d**3 + 6*d**2*g - 2*d**2 + 277*d*g + d + 2*g + 2 wrt d?\nAnswer: 54*d*g - 12*d + 12*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2\/27, 3, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3db (base 16) to base 5\nAnswer: -12422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 141875393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/12 + 34*l + 3. Let d(a) = 4*a**2 - 6*a**2 - 5*a**2. Calculate d(h(b)).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcee when four letters picked without replacement from {c: 2, e: 2, z: 1, k: 7}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k + 5. Let j be (1\/4)\/(6 + -1 + -4). What is the nearest to k in j, 2, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4099 * -73910\nAnswer: 302957090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2043 + -10?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*v**5\/9 + 41204*v**4\/3 - 31120*v**3\/3 - 649880*v**2\/9 - 175264*v\/3 - 10308 = 0 for v.\nAnswer: -7731\/7, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 - -0.5. Let u = 2 + v. Let b(j) = -45*j - 53. Let z be b(-1). Sort z, 0.5, u in decreasing order.\nAnswer: 0.5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9284, 18548, 27812, 37076?\nAnswer: 46340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + 4 - 3)*2. Suppose 3*a + m = -0*a + 24, -a = 5*m - b. Let h(n) = -n**2 + 8*n - 1. Calculate h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -869876422.84 from 2.2.\nAnswer: 869876425.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 4. Suppose -g + x - 67 = 2, 348 = -5*g + 2*x. Let f = -67 - g. Let w be (3 - 0) + (-1 - (-3)\/f). Give l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/6 + 15201*i**3\/2 + 638311*i**2\/6 + 987795*i\/2 + 2279450\/3 = 0?\nAnswer: -45589, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047197 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let q = 4.4 - s. Let i = q + -0.4. Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7*j + z + 17, 0 = 5*j - 3*z. Let s be (306\/12)\/(j\/(-32)). Calculate the highest common divisor of 34 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - (95 - -46) - -9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-20)*76\/(-95)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + (-16)\/2)\/(-2). Sort 2, -5, f.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*m + 150*m + 16 = 0. Solve -37 = -m*t - 5*i, -3*t = -2*i - 2*i + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + h**3 + 5*h**3 + 1 + h**4 - 7*h**3 - h**2 to z*h + n*h**4 + s + a*h**2 + x*h**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 686*((-3 + -3 - -2) + (-36)\/(-8)). Solve 7*n - x = -301 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 65.66193 decades?\nAnswer: 6.566193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1606\/23, 2\/15, -17, 58.\nAnswer: -17, 2\/15, 58, 1606\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 5*l**3 + 3*l**3 + (2*l + 0*l + 0*l)*(17*l - 17*l + 4*l**2) + l**3 + l**3 + 0*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(-4*sqrt(108) - sqrt(108))*-1)**2 + (sqrt(108)*-1 + sqrt(108) + sqrt(108))\/sqrt(9)*1).\nAnswer: -172800 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15437737*c + c**3 + 15437737*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7876*m**4 - 16068*m**3 + 3189254*m**2 + 4*m.\nAnswer: -189024*m - 96408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(288) + 0 - sqrt(288)))**2*-2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 58, 0, 9, -2, 4, 1.\nAnswer: -7, -2, 0, 1, 4, 9, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25108 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 148834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.5. Suppose 0 = l - 3*l. Suppose -5*g + v = 5, 5*g + 2*v = 6*v - 20. Which is the nearest to l? (a) n (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2642 rounded to 3 decimal places?\nAnswer: 0.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 7. Let x be r(9). What is the greatest common factor of x and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229289801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/4 - 2*f**3 + 2*f**2 + 37*f - 5515. Calculate b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2 + 14574*y - 13.\nAnswer: 14574*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**2 - 1. Let q = -12 - -4. Let w(b) be the third derivative of b**5\/60 + 7*b**4\/24 - 3*b**3\/2 - b**2 + 7*b. Let t be w(q). What is n(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*p + 2*p = -4, -5*p + 20 = 0. Suppose i*d - 162 = -9*d. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*-2*1. Suppose -3*q + i + 8 = 0, 0 = q + 3*i - 16 + 10. Suppose -q*y + 6*y = -12, -c*o + 106 = y. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1256535, 1256524, 1256513, 1256502, 1256491, 1256480?\nAnswer: 1256469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -35590 to the nearest one hundred.\nAnswer: -35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.3146 - -9.113. Let x = -6.2 - h. What is x rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 105. Which is the biggest value? (a) -2 (b) h (c) 2\/7 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/622 (b) 2 (c) 0.07 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 - 5*i + 5. Let s(u) = -2*u**2 - u + 1. Let k(z) = b(z) - 5*s(z). Let t(x) = -242*x. Give t(k(d)).\nAnswer: -726*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -1088, -1086, -1084, -1082, -1080?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1584) + 1)**2 - ((sqrt(11) + 0 + -5)**2 - (-4*sqrt(176) + sqrt(11))).\nAnswer: 91*sqrt(11) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/3*(3 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1692*u - 850*u - 849*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 988\/33 in -1, -10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 24*a + 96. Let x be q(-15). Let p(k) = -k + 6. Let d(w) = -3*w + 25. Let z(j) = -2*d(j) + 9*p(j). Calculate z(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 55042010 (base 6) to base 15\nAnswer: 22578c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-1)\/(4\/(-2176)). Let t = -320 + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128905 is divided by 20862.\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9488 = 4*t, 0*p - 3*t = 2*p - 4739. Suppose -5*m - p = o + 3303, m = -2*o - 1142. Let a = 644 + m. Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - (-3 + -4 + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37*a - 125. Calculate n(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 1. Let v(n) = -3*n**2 + 8*n + 4. Let f(q) = -2*t(q) - v(q). Let w be (-2)\/(-4) - 1791\/(-18). Let i be 1 - (w\/5)\/(-4). Calculate f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, r: 2, m: 2, t: 1, x: 2}. What is prob of picking 1 q and 1 r?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 - 2*z**3 + 18*z**2 + 906*z. What is l(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -175. Let z = 56 + p. Let f = 54 + z. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*k - 141, 5*p - 23 - 136 = 3*k. What is the remainder when 196 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 40545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 2*u**2 - 6 + 5*u + (u - 49 + 49)*(3*u - 7*u - 5*u) as a*u + d*u**2 + s and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l**2 - 13*l + 29. Let q(f) = -9*f**2 - 7*f + 15. What is -6*h(p) + 11*q(p)?\nAnswer: 3*p**2 + p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333260, -666585, -999922, -1333277, -1666656?\n\"Answer: -c**3 - 333318*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5 + 8448*f**4 + 635672*f**3 + 1856308*f**2 + 1839402*f + 610316 = 0?\nAnswer: -71, -1, 4298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2875533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*q + 3172, 3145 = 3*w - 2*q + 766. Round w to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1*(-3)\/(-12). Let a = -9 - -5. What are the prime factors of 15 + (-1 - (p + a))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 6*o - 4. What is the remainder when j(-6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -2535.\nAnswer: -98\/2535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/45, -146, 2\/5, 0.21, 0?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5442 and 456?\nAnswer: 413592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 0.01 (b) 4\/5 (c) -4361 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 70074656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27567*v = -2*t - 27573*v - 20, -2*v - 35 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 22 = 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 5*c**2 - c + 2. Suppose -5*o - 7 = 8. Calculate the least common multiple of 2 and t(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1927 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 138 = 3*i - 5*i, -2*t - 345 = -5*i. Let o = i + -63. Suppose -o*w = -8*w + 28. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 d, and 1 s when four letters picked without replacement from {v: 2, s: 1, m: 6, d: 4}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145821, 291597, 437373, 583149, 728925?\n\"Answer: 145776*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**5\/24 + 7*g**4\/24 - 7*g**3\/3 + 2. Let n(b) be the third derivative of f(b). Find the first derivative of n(p) wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3564) - (sqrt(1331) - (sqrt(1331) - (3 + sqrt(1331) + 5) - sqrt(1331))))**2.\nAnswer: -512*sqrt(11) + 11328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-1260)\/432)*4\/9.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29751 and 50851?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - 0.48. Let w = c + 1.946. Let t = w - 0.1733. Round t to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*c + 68 = 0, -41*c = -k - 46*c + 19. What is the closest to -0.1 in 0.3, k, 79, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 z when four letters picked without replacement from hhrhezhhehhzrrheh.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 99\/21 + (-2)\/(-7). Suppose 4 = 6*j - x*j. Suppose 6*c - c - 25 = -3*o, j*c - 23 = -3*o. Solve c*b + 8 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - ((sqrt(210)*-4 - sqrt(210)) + sqrt(210))\/sqrt(6))\/(sqrt(700)*-4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 - -253. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - (-35)\/(-21). Let w(u) = -15*u**3 - u**2 - 2*u - 1. Let j(z) = -z**3. Let l(v) = -4*j(v) + w(v). Determine l(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t**3 - 2 + 1 + 33*t + 2*t**3 + 0*t**4 + 13*t**3 + t**4 as p*t**2 + w*t**4 + j + k*t + u*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.58603l?\nAnswer: 12586.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/195*-2 - (-8)\/(-40).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:19 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 469307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:27 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + 339. Suppose 12*g - 50 = s. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 115 - 48*g - 7*g - 41 - 23*g + 7*g. Calculate s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41587064 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 33. Suppose -2 + 16 = -o*b. Let f be 9\/((-2)\/b) + -4. Calculate the greatest common divisor of f and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -679 - -685. Let z(g) = 2*g**3 - 9*g**2 + 3*g + 7. Calculate the remainder when z(q) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 152*g**2 - 292*g + 144 = 0 for g.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 673 and 3?\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l + 5. Let p(q) = -47*q**3 + q + 1. Calculate the remainder when p(-1) is divided by r(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) + (-605)\/112 and -1*2*56244\/105264.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300.675 + 10\nAnswer: 310.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5669619226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10407, 18347, 26289, 34233, 42179, 50127?\nAnswer: 58077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 205985, 208355, 210725, 213095, 215465?\n\"Answer: 2370*l + 203615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 13) to base 5\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 103 (b) 3\/8 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y = 74*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 117, 194, 273, 348, 413, 462?\n\"Answer: -w**3 + 10*w**2 + 46*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 85*m - 166. Give k(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000974485 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67824 + -5777. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 2*q + 3*q)*(3 + 4 - 5) - 6*q - q + 2*q - 2*q - 3 + 3 + (-2 + 2 + 3)*(3 - 3 + 2*q) + q - 2*q + 3*q to w + h*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/10, 1, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163 and 64304152.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -449*j**4*q**2 + 118646*j**4 + 3*j**2*q**2 + 2719398*j**2 + 7*q**2 wrt j?\nAnswer: -10776*j*q**2 + 2847504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-4\/15)*i)\/i)\/i)\/(i\/i**19))**(3\/35) assuming i is positive.\nAnswer: i**(289\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o\/(o\/(o**(-2\/13)*o)))\/o*o)*o*o)\/(o*o**(4\/7)) assuming o is positive.\nAnswer: o**(235\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/18616 and -69\/16?\nAnswer: 37232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**2\/11 - 44*d + 294\/11 = 0. What is d?\nAnswer: -49, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u. Let g be 2\/(-14)*36 - 1350\/1575. Let s = -3 + 5. Let l(z) = z**2 - 6*z + 3. Let i be l(s). Let d(q) = 8*q. Determine g*r(o) + i*d(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, m: 4}. Give prob of picking 2 d and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62 * 19115.\nAnswer: -11851.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 + 77272*o\/3 - 231814\/9 = 0.\nAnswer: 1, 115907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 369627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from {v: 6, x: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -33. Let v = -4 + w. Which is the smallest value? (a) v (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5313399.\nAnswer: 3, 7, 13, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 9857692\nAnswer: -1\/4928846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8 and -27\/1550090?\nAnswer: 6200360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*f**3 + 13*f**3 - 1 + 0*f**2 + 0*f**2.\nAnswer: 148*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1609062 = 52*q + 222*q + 529502. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*s - 47 = -3*q, 51 = 5*q - 4*s. Let m = 26 - q. What is the remainder when m is divided by -2 + 9 + (0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 1, d: 1, u: 1, s: 2, c: 1}. What is prob of sequence snuc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 328*l**2\/7 + 6753*l\/7 + 918.\nAnswer: (l + 1)*(l + 21)*(l + 306)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9927*x = -9926*x - 16178. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2\/1843?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 47. Let p(j) = -j**2 + 14*j - 141. Let f(n) = -6*p(n) - 17*q(n). Differentiate f(u) wrt u.\nAnswer: 12*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/7 + 140866982*u**2\/7 + 4960876795314060*u\/7 + 9921753027160200\/7 = 0.\nAnswer: -70433490, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)\/j**9)\/(j\/j**(-6\/11)*j*j\/(j\/j**(6\/25))) assuming j is positive.\nAnswer: j**(-10116\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -122?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a5 - 6?\nAnswer: 289c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-4*a**2 - 5*a**2 - 3*a**2).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 140?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 19965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010000011001111 (base 2) in base 10?\nAnswer: 1548495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*b - 2*b. Calculate the least common multiple of 2\/b + (-192)\/(-18) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - q. Suppose 7*a + 6 = 48. Let x = 7 + -5. Let t(g) = -8*g + 2 - 1 + 2*g**x + 6*g**2. Give a*j(l) - t(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002904483208 to 6 dps.\nAnswer: 0.002904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -2*f**3\/27 - 97*f**2\/9 - 380*f\/9 - 42. Factor g(o).\nAnswer: -2*(o + 2)*(o + 95)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 2. Give u(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 33 = -p, 3*o + 5*p = p + 44. Suppose 0 = -6*k + 4*k + o. Suppose 0 = j - 3*l + k - 0, -5*l + 46 = 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 532094 or 532093?\nAnswer: 532093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 322.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/2 - 13*p**3\/3 - 6*p**2 - 5*p + 3972. What is t(7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(5000) - -2*sqrt(5000)))\/(-2*sqrt(30)\/sqrt(12)) + -4.\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/8 (b) -5 (c) -0.3 (d) 1 (e) -0.01 (f) 1\/10 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*c - 19*c - c**3 + (1152*c**2 - 285*c**2 + 620*c**2)*(1 - 2*c - 1).\nAnswer: -2975*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 3, v: 1, k: 1, f: 1}. What is prob of sequence wf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 251771 - 7313?\nAnswer: 242456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 6*s. Suppose -3*y + 3*x + 8 = 5*x, -2*x = 5*y - 8. Suppose y*f = 5*f. Put -1, s, f in descending order.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 1)*(2 - 1 + 1) + 1 + 1 - 4 + 2 + 3 - 4)*(4*a + 2*a - 10*a) in the form o + h*a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*8\/(-384)*72?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -275\/7 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.846512 millennia to centuries.\nAnswer: 38.46512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 1 + 1 + (4*j - j - 5*j)*(2*j - j - 3*j) - 3*j**2 + 0*j**2 + 4*j**2 - j**2 + 5 - 5 + j - 3*j - 3*j**2 + j**2.\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 6*q**2 + 9*q - 14. Let m be h(5). Solve -5*u = -m*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 10*f + 49 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 + 36 - 5*n - 18 wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -11*p**6\/720 + p**5\/120 - 5*p**4\/24 + 2*p**2. Let k(x) be the second derivative of i(x). Determine k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2951 and 3513960?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 4995.\nAnswer: -349.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 1 s when three letters picked without replacement from mfhmqhs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1526*t + 1508*t - 576776 = 8464*t for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/95)\/((-1)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 - 18531885869.36.\nAnswer: -18531885867.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -0.1, -22, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111010011000001011011?\nAnswer: 1111010011000001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2232366?\nAnswer: 2232363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -168 - 146. Let h(p) = 4*p**2 + 22*p - 15. Let t be h(5). Suppose r + t = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44c7 + 27f7?\nAnswer: 6cbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 23 - 6)*(-13)\/(1118\/(-3)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 + 4*o + 15. Let f be x(6). Suppose -b = 2*k + 2*b - 1, 25 = 2*k - 5*b. Solve -2*u - 3*l - f = 0, 1 = -k*u + 2*l - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 3*k + 12 = 0, -5*c + k = 12. Let l = 0 + c. Let b = l + 4. Solve -b*v - v - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3764*q + 102*q - 12.\nAnswer: -3662*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 123904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4209 + -4194. Suppose -39 + 14 = -5*x. Solve r = -x*y - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*t + 4, j = -0*t - t + 1. Solve -5 = j*v - v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45551 or 45547?\nAnswer: 45551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -87, 322, 731, 1140, 1549?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -19*s + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/7 - 4148*f**2\/7 - 383214*f - 511148520\/7 = 0.\nAnswer: -867, -340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/53805 and -115\/5484?\nAnswer: 98355540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.4. Let h = -0.3 - -0.2. Let f = -20.644 - -19.944. Which is the closest to h? (a) f (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(0 + sqrt(52)\/sqrt(4) + 1 + sqrt(13)*2)*-3.\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/6*b**3 + 19 - 17\/2*b**2 + 0*b - 5\/24*b**4. Let s(j) be the second derivative of y(j). Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54646490 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.78182 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89605108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2488 = 320*t + 712 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**41 assuming t is positive.\nAnswer: t**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -101111000110010?\nAnswer: -101111000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6259143 to the power of 1\/2, to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195946 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18044399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 83613*y - 41826*y - 41832*y + 6.\nAnswer: -45*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 + 0?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(75))**2*4.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let j = 0.27 - 0.17. Let g = -0.3 + j. Which is the closest to 1? (a) g (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let f(d) = 2*d**2 - 3*d**2 - q*d**2. Let x(i) = 2*i**2 - 6*i. Let s(k) = 2*k**2 - 8*k. Let n(p) = -3*s(p) + 4*x(p). Give n(f(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 149013325367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65043189 and 122440?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6017541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*p**4 + 1769110*p**3 + 179801805?\nAnswer: 160*p**3 + 5307330*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1207 + (-11 - 176\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/18819 and 47\/131733.\nAnswer: 131733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.110022, -1\/8.\nAnswer: -1\/8, -0.110022, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 17*d - 2. Does 18 divide t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190704 is divided by 3123.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + sqrt(38)\/sqrt(2) + -3 - (sqrt(38)\/(sqrt(16)\/sqrt(8)) + sqrt(19))) - (-4 + 1*(1 + sqrt(475))**2*5).\nAnswer: -2385 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 403 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(16\/87)*5104\/1914.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -50333?\nAnswer: 50341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 190101913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:26 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73211 is divided by 71?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-43)*i**23)\/((i*i**49\/i)\/(i**(1\/66)*i)))**(2\/11) assuming i is positive.\nAnswer: i**(-4421\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 32*q**2 + 2*q - 2. Let n be j(8). Calculate the highest common factor of 112 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/13 - 19868*s\/13 - 3056 = 0 for s.\nAnswer: -9932, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48109390 or 48109394?\nAnswer: 48109390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m + 1 = -5*f, 2*m = 5*f - 7. Let i(j) = 2*j**2 - 7*j + 6. Let x be i(4). Let h be (-1*1)\/(2\/x). Put m, -1, h in ascending order.\nAnswer: h, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4806, 19164, 43106, 76644, 119790, 172556?\nAnswer: 234954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 45, 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 20*d - 133325 = 0. Is d\/(-15) + (-6)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b56 (base 16) to base 5\nAnswer: -441230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40414093 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1972*-0.350377.\nAnswer: -0.0690943444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 125 (b) -3 (c) 150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4317*q + 3943*q = 9090*q - 101260 for q.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*x + 3*x + 17*x. Suppose -3*j + 2 = 5*r - 0, 5*r + 26 = 4*j. Let z be x\/(-2 + r\/(-2)). Put 4, z, 13 in descending order.\nAnswer: 13, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, i: 2, z: 1, c: 2, m: 1, s: 1}. Give prob of sequence zisc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = 3*i + 4*m, -i - m + 676 = 183. Let w be (7\/42)\/(10\/i). Let g = w + -26\/3. Which is the biggest value? (a) g (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18316501 divided by 7?\nAnswer: 2616643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 19 - 2)*(48*p - 96*p - 14*p).\nAnswer: -806*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 8843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90125.\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/33)*d)**(-40)\/((((d**(-12)*d*d*d)\/d)\/d)\/d)**0 assuming d is positive.\nAnswer: d**(-1240\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:58 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, 145, 1068, 2859, 5806, 10197, 16320?\nAnswer: 24463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 - 1240*b + 40165 = 0.\nAnswer: -277, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-132)*(-6340)\/4755?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1739, -6571, -14623, -25889, -40363, -58039, -78911, -102973?\nAnswer: -130219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 2286361.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2194 = -7*o + 3*o - 3*y, -3*y - 1094 = 2*o. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**12\/x)\/x*x*x**16*x*x)\/(x\/(x**(-2\/3)*x*x)*x\/x**(1\/22)) assuming x is positive.\nAnswer: x**(1873\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 133*z**2 - 1912*z + 2391. Determine i(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5047*m + 2166*m - 3375*m - 6690*m in the form f + v*m and give v.\nAnswer: -12946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 0*z**5 + z**5 + z**5 - 2*z**5 - 3*z**5 + (-7*z**3 + z**3 - 5*z**3)*(-z**2 + 2*z**2 - 2*z**2).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 45*i + 10. Let d be z(5). Solve -d = -119*r + 128 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-5 + 3 + 4)*(-4 + 6 - 3)*(-1 + i + 1) to h*i + q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7 + 7 - 105*f - 23 + 109*f + 3. Let b(l) = 4*l - 5. Calculate -5*b(a) + 4*g(a).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 811350 divided by 1?\nAnswer: 811350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + o**2 - 3 - 3*o**2 + 35.\nAnswer: -2*o**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -734, -740, -746, -752?\n\"Answer: -6*u - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10024 + 0.1. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8152 = -17*l + 25*l. Let w = -407 - l. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*a**3 + 10 + a - 2*a**2 - 364*a**3 - a.\nAnswer: 286*a**3 - 2*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 - 10 = 0, 2*c = -5*m + 41. Let y = 19 - m. Solve 3*v - t = y, 2*v = -v - 3*t + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((6\/16)\/1)\/((-102)\/(-816)). Solve 16 = -c*f + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 - 15*h**4 + 39*h**3 + h**2 - 842*h + 3 wrt h?\nAnswer: 120*h**2 - 360*h + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.997 - 0.003. Let v = -65.9935 - p. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*w + 140 = 0, -5*w + 3 = -2*w. Which is the second biggest value? (a) 4 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.158, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.158, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 152582164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/(sqrt(10) + sqrt(40)\/sqrt(4)) - (sqrt(312)\/sqrt(8))\/sqrt(3))*-2)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145012 - 288179 = -65*r - 18*r - 144744 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-24))\/((-14)\/(-68)). Let p = z + -1\/14. Suppose 1\/3*t**4 + 0*t - p*t**3 + 0 + 0*t**2 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-412)\/721)\/(10\/7)*1780\/(-8).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29876551 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1884, -3800, -5760, -7782, -9884, -12084, -14400?\nAnswer: -16850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*9\/15*23. Suppose 2*v + s = 3*v. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9727 and -79\/18.\nAnswer: 175086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -109\/32, 2.\nAnswer: -109\/32, -3, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842226 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3354 at least as big as -23468\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-10) - (-2)\/10. Suppose 66 = r*g - 3*g. Calculate the greatest common divisor of g and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 3. Suppose -54 = 5*v - 8*v. Suppose q - v = -2*q. Is y(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943 and 1302283?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 165724954.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84234*a + 271 - 271 - 28130*a.\nAnswer: -112364*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 817635716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23304.77 micrograms to tonnes.\nAnswer: 0.00000002330477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 305479 (base 10) to base 14\nAnswer: 7d47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12 = -18. Let d = -5 - -3. Let z = -1 - d. Solve z = -2*x - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Suppose c - 6 = f*c, -c + 3 = 2*n. Suppose -y + n*l = -4*y + 171, -3*y = 2*l - 174. Calculate the highest common factor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16*k. Let o be s(-2). Suppose 4*i - o = 32. Suppose -16*m = -12*m - i. Solve -m*q - 4 = a + 8, -5*a + 12 = 2*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7461484?\nAnswer: 2, 1865371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/65)\/((444\/(-320))\/(-37))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 7*t + 10. Let a(c) = c**2 - c + 1. What is -6*a(p) + h(p)?\nAnswer: p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 107685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12120417*c*i**2 - 11184012*i**2 wrt c.\nAnswer: 12120417*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6791, 13581, 20371, 27161?\n\"Answer: 6790*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -107*i + 657. Let b be p(6). Suppose 9*k + 180 = 19*k. Solve 3 = k*o - b*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 3400714?\nAnswer: -68014.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - w - 592 = 1251, -f - 5*w + 466 = 0. What are the prime factors of f?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 7, -3, 6 in ascending order.\nAnswer: -113, -3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 11.980711449.\nAnswer: -12.120711449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*l - 197*l**5 - 205*l + 424*l - 1 - 2 wrt l?\nAnswer: -3940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 2*w**2 - 9*w**2)*(3 + 2*w - 3)*(-4 + 2 + 0).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/108*(1 - 85\/100)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 18994992*q - 22550607567504.\nAnswer: -4*(q - 2374374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -17. Suppose 0 = -11*f + 9*f + r. Solve -p**f + 8*p - 10 - 9 + 1 + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 0 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5366 - -2a50?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 10. Suppose b = -r + 4 - 20. Let j be r\/(-6)*(-177300)\/(-24). What is j rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 7136642.\nAnswer: 3996519520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 144 = 44*w + b - 2*b, -254*w = -250*w + 2*b - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgv when three letters picked without replacement from {v: 12, g: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-1*4)\/(-2*sqrt(121)\/(sqrt(11) + sqrt(22)\/sqrt(2))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4) + 1)*2. Sort t, 0, -2 in decreasing order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2267489404 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 603561215?\nAnswer: 603561217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 10*o**2 + 10*o + 13. Let r be n(11). Suppose 5*s - 921 = r*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3 + 5 + sqrt(192))**2.\nAnswer: -160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130035 or -130030?\nAnswer: -130035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7208)\/22*-1 - -1. Suppose 0 = 3*p - 5*i - 1000, -5*p + 0*i + 2*i = -1654. Let s = w - p. Find the common denominator of s and 2\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**3 + 13*v**3 - 42*v**3 + 70*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -67958.\nAnswer: 6116.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 7, s: 6}. What is prob of sequence bsba?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11499312 and 97\/1914.\nAnswer: 11499312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 501?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 91944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255465803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 6, i: 2, x: 1}. What is prob of sequence nl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) + (-62)\/3. Let d be (-3)\/12 + n\/(-4). Let m be (6\/3 - 1) + 0. Solve d*s + 5*l - 10 = 0, -m = -4*s - 2*l + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -326604*q**2 - 110*q - 81309186?\nAnswer: -653208*q - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 12*m - 24. Calculate d(-14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 5 + o + 15*o. Suppose 6*m - 3*m = 2*x + 7, 0 = 5*x - 4*m. Let s be c(x). Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - p)*(2 - 4 + 3)*(0*p + 0*p + p**2) + (5*p - 2*p - 4*p)*(894*p - 894*p - 11*p**2) in the form k*p**3 + n*p**2 + m*p + g and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046255 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -161? (a) 1 (b) -5 (c) -20.149 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13825576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(312\/32) - (-139900)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/3 - 4*t**3\/3 + 31*t**2\/2 + 8020*t. Determine m(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -8.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-112) + 10\/70. Let f = -6132 - -343401\/56. Let r = x - f. Which is the third smallest value? (a) 5\/3 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4\/5, 0.4, 352, 3, -5?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3*(-3)\/279). Suppose 3*p = -3*x - 285, 5*p + 3*x + 434 = -n. Let t be ((-4)\/(-3))\/((-40)\/p). Solve a - t = -y, -2*a + a = -5*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17108 and 8324?\nAnswer: 25432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 396.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let f(q) = 3*q**2 + 2*q + 3. Give f(v) + 6*p(v).\nAnswer: -3*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -9*b + 12*b + 2*c, -4 = -5*b - 2*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 - j + 11. Let d(l) = 9*l**2 + 2*l - 10. Let m(r) = 6*d(r) + 5*z(r). Is m(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143231 (base 5) to base 13\nAnswer: -29b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214911984*a + 58845448?\nAnswer: -214911984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*g**3*k**2 + 304*g**3 - 59202*g**2*k**2 - 252*g**2 - 4 wrt k.\nAnswer: -58*g**3*k - 118404*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-1 - 1 + 4)*(-4 + 4 + 3*c)*(8*c**2 + 0*c**2 + 4*c**2).\nAnswer: -144*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - a - 1. Let c(h) = -88*h**4 - 10*h**2 - 6*h + 1. Let b(f) = c(f) - 5*v(f). Find the second derivative of b(g) wrt g.\nAnswer: -1056*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278260, 1113122, 2504582, 4452640, 6957296, 10018550?\nAnswer: 13636402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 22 - 8)*(2*j - j + 2*j)*(0*j**3 + 3*j**3 - 2*j**3) to the form d*j + f*j**4 + p*j**3 + w + n*j**2 and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*u - 18 = 0, -32 = -2*i - 2*u - 8. Factor 19 + 13 + i*z**3 + 5*z**5 + 15*z**4 - 32.\nAnswer: 5*z**3*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -563 + 342. Let f = 44 - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.034, 1, 2\/3, -5 in increasing order.\nAnswer: -5, -1, 0.034, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1101?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3901608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345338 and 1439186?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 4*l + 2*l)*(5 + 2*l**2 - 5) + (-2*l**2 + 0 + 0)*(-1 - 3 + 3)*(2*l + l - 4*l) in the form m*l**2 + q*l + y + v*l**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2483 and 1170.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66970288 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 2.04. Let x = 2.2 + n. Which is the biggest value? (a) -1 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -0.2\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -3d1d?\nAnswer: -3d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22321245445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*o = 3*s, 4*s = -4*o - 12. Suppose 3*z + 4 = -n, -3*n - 4*z - 27 = -6*n. Let i = n + s. Solve 2 = i*t - 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2719*b + 1028 = -2789*b + 2918 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 + 21693*q\/5 - 43382\/5.\nAnswer: -(q - 21691)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*c**2*s**2 + 81*c*s**2 - 2*s**2 wrt c.\nAnswer: -376*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7186 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*v - 6, 2*d + 46 = 36*v - 34*v. Solve -3*x + 4*n - 26 = 0, 16*n - v*n - 8 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(2*c**3 - 5 + 5 + 4*c**3 + 2*c**3 - 5*c**3 + (0*c + c + c)*(-5*c**2 + 5*c**2 - c**2)).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:17 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 693.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1079 times -2583\nAnswer: 2787057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-5*h + 2*h + 4*h) + 2*h + 0*h - h + 6*h - 2*h - 7*h - 147*h - 6449 + 6449 + (0 + 0 + h)*(1 + 3 + 1).\nAnswer: -146*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*u - 34 - 10 + 59.\nAnswer: -724*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11 - 7*z - 1 + 9*z. Calculate p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 - m**2\/2 + 2*m - 77. Let r(p) = p**2 + p - 3. What is 2*d(x) - r(x)?\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2732.198 - 431.\nAnswer: -3163.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 - 922 + 303 + 538*w**3 + 306.\nAnswer: 538*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 2*d. Let p be z(-3). Solve -2*b + 5*o = p, 2*b - 7*b - 15 = -5*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210222048 is divided by 3969?\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmduxuududd. What is prob of picking 1 m and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -20*b + 19*b, 0 = 2*b + 4*m - 30. Solve -3*n - 2 = -5*n, b*s - 20 = -5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 34*g**2 + 60*g - 396. Calculate l(-36).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:39 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457225794.\nAnswer: 2, 3, 43, 487, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**7))\/(h\/(h\/h**(-2\/9))*h)*h**(1\/2)*h*h\/((h\/(h*h**(-2\/13)))\/h))\/((h*h*h\/h**(-6))\/(h*h\/(h**1*h)*h)*h*h\/h**1*h\/h**4) assuming h is positive.\nAnswer: h**(-2675\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 10. What is the third derivative of l**4 - f*l + 7*l - 2*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17455402 to the nearest integer?\nAnswer: 4178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dadi when four letters picked without replacement from daaidaiaaiadadaa?\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1171790, 1171789, 1171788, 1171787, 1171786?\n\"Answer: -z + 1171791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to -594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/(n*n\/n**(1\/2)))\/(n**(-5)\/((n**(-2\/3)\/n)\/n)) assuming n is positive.\nAnswer: n**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 - 134*y**2 - 180*y - 3757. What is n(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 5. Let x be t(-5). Suppose -4*d - x = -9*d. Suppose d*k - 6*k + 234 = 0. Calculate the greatest common divisor of k and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 952.67748519244.\nAnswer: -950.67748519244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20 and 29\/23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2\/45, -0.11?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -61 + 4 + 1 - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y + 127*y = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/3)*i**(4\/5)\/i)**(1\/21) assuming i is positive.\nAnswer: i**(-43\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 229633301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136627 and 371953?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 22 = 23*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.269 - 0.239. Let i = x + -5.03. Sort i, -1\/19, -2 in decreasing order.\nAnswer: -1\/19, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*g = 10*g - 1814135. What are the prime factors of g?\nAnswer: 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*c**3 - 2*c**2 + 2*c + 6455.\nAnswer: -99*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 10.3487 hours?\nAnswer: 37255320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d + 25. Let t(m) = m + 1. Let w = 100 + -113. Let p be t(w). Is 9 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1999, 3426, 4853, 6280, 7707?\n\"Answer: 1427*z + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3848 divided by -4\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/((-2)\/36). Let j be (z\/(-5))\/((-3)\/30). Suppose 2*l = -2*g + 24, 0 = -l - 3*l + 3*g + j. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*((-30)\/280)\/(3\/(-3)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35197 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 minutes after 8:12 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -14663 (base 9) in base 2?\nAnswer: -10011100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 5*w + w + 0*w + (-w**2 + 3*w**2 - w**2)*(-9*w + 73 - 57*w - 74).\nAnswer: -64*w**3 - w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 790269?\nAnswer: -79026.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 + 18*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-20))\/(2\/(-30)). Let s = o + -8. Let k = -309\/10 - -31. Which is the nearest to 2\/11? (a) -1\/2 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let o(q) = -6 - 4*q**2 - 10*q + 0*q**2 + 2*q**2 + 4. Let w(h) = -6*l(h) + o(h). Give w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 25, -s + 209 = 4*m. What is the greatest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109620.938 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -76750 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-24)*p*p**(-3\/16)*(p**(8\/9)*p)\/(p**(-17)*p) assuming p is positive.\nAnswer: p**(-619\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3\/113, 5, -132?\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 + 241*l**3 = 0. What is l?\nAnswer: 0, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 432 = 122. Suppose 0 = -10*s + 965 + v. Let b = s + -73. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/((j\/(j*j\/(j**(-2)\/j)))\/j)*j)))**(-50))**20\/((j\/j**(1\/2))**(6\/5)*j**(1\/8)*j*j*j**(-3\/8)*j) assuming j is positive.\nAnswer: j**(-140067\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 3, a: 3, o: 1}. What is prob of picking 1 a and 3 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/2 (c) -483\/8 (d) -5 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -12 + -2 - -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, 0, 15 in descending order.\nAnswer: 27, 15, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 + 17 = 0. Let t(p) = p**3 - 6*p**2 + 2. Let q be t(u). Suppose -y + 222 = q*y. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + (-4 - (-984)\/(-99)))\/((-1)\/(-21)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 672.1293 tonnes?\nAnswer: 672129.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 4*x + 1. Let m(v) = -2*v**2 - 7*v - 1. Let o(p) = 5*g(p) + 3*m(p). Let u be o(0). Is (-16)\/12*((-50)\/4 + u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40*c - 280. Let p be a(7). Solve 0 = -l - 2*w - 8 - p, 4*l + 4*w = -20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. What is the tens digit of y\/3*(-66)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 1131?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 4. Let q(s) = -s + 6. Let i be q(0). Let x(d) = 12*d**2 - 9*d + 3*d + 5 + 3 - i*d - d**3. Let z be x(11). Determine g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from xyyttttytettetetxt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.608 + -0.64. Let q = -2.132 - d. Let n = 0.37 - -0.03. Which is the nearest to 0? (a) -0.3 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -23. Let x(a) = 2*a + 2. What is the units digit of x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 18 = -64*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:54 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(1053) + -1 + sqrt(1053) - (-3 + sqrt(1053)*-1) - -1*(2*sqrt(1053) + 5))**2.\nAnswer: 540*sqrt(13) + 26360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1219528 divided by -7\nAnswer: -1219528\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4587*i + 270624. What is o(-59)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347400 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3477.3133 rounded to zero dps?\nAnswer: -3477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**6\/120 + 2*p**5\/15 - p**4\/6 + p**3\/6 - 11*p**2. Let g be ((-54)\/(-12))\/((-3)\/(-4)). What are the prime factors of m(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/13)\/(6\/(-422)). Let g = z + 71. What is w in -8\/3 - 8\/3*w - g*w**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.483 - -72.249. What is w rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30657\/4, -1\/4, -21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 85*m - 39*m - 38*m - 105.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/23))*h)\/h**(-11)*(h*h**(-2\/5))\/(h\/(h\/(h*h\/(h**(-17\/2)*h*h*h)))) assuming h is positive.\nAnswer: h**(1163\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126795 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 739850 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(11628\/(-2204)) - 598\/(-22).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -393549 divided by -393549\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (512\/48)\/16*(90\/95)\/(-6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - 86 - (4 - 17 - (-124 - -110)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101 + -1111111?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769578 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-6)*32\/60*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-330)\/45 + 49\/21. Let s be 1\/4 - (-9)\/(-4). Is 149\/(-2)*(f - s - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s - 247. Let v be y(-27). Suppose 0 = -2*w - 39 - 33. Let i be 9*(40\/w)\/(-5). Sort 4, i, v in increasing order.\nAnswer: v, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 divided by 6.\nAnswer: 247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + 2*i + 2*u, 0 = 2*i - u - 5. Let b be 1 + i - (3 - 0). Solve 5*p + 3*g - 30 = b, -4*p - 3 = -0*p - 3*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a - 2*a**2 + 3*a**2 + 2*a**2 - 4*a**2 + (2 + 0 - 4)*(0 + 0 + a**2) - 365*a**2 - 403*a**2 + 525*a**2.\nAnswer: -246*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31417931.88 rounded to the nearest 10000?\nAnswer: -31420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26 times 55?\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*a**2 + 2*a**3 + 128*a**2 + 107*a**2 + 137*a**2 + 5 + 12.\nAnswer: 2*a**3 - 25*a**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10974*s - 78*s**2 + 10974*s - 79*s**2 - 40*s**2.\nAnswer: -197*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50810 (base 9) to base 12\nAnswer: 17446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 13 = -3*m, -355 = -3*m - 5*s - 354 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 1 + 4*p**2 - 5*p**2 + 33*p**3 - 30*p**3 + 0*p**4 - 2*p**4 to the form g*p + d*p**3 + j*p**2 + x + z*p**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-8))\/(21\/42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173354, -346972, -520590, -694208, -867826?\nAnswer: -1041444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 321 = 4*o - 7*o, -8 = -4*o. Let l = 156 + b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 + 2 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*t**3 + 5*t**3 - 2 + (-2*t - 2*t + t)*(-2 + 2 + t**2) - t**3 + 0 + 0 + t - t - t**3 + (t**2 - 3*t**2 + 0*t**2)*(0*t - 2*t - 2*t).\nAnswer: 4*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7613 - 2929 = -753*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven fifths of a hour?\nAnswer: 48240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21376\/896 - 29)\/((-6)\/63).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 21 = 2*i. Suppose o - i = -2. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 242*s**2 + 1127 - 485 - 242*s**2 - 642.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 32. Let b = t - -12. Suppose 3*w = -b*w. Sort -5, 2\/17, w in decreasing order.\nAnswer: 2\/17, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2 - 5*g**2 - 2*g - 4*g**2 + 3 + 3*g. Let j(p) be the first derivative of -p**4\/4 - 7*p**3\/3 - 3*p**2 - p - 3. Let m be j(-6). What is v(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 4*d**3 - 5*d**3 - 2*d + 7*d**2 - d**2 - 4. What is the units digit of c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33379\/8 - -4162. Let t = -4682 + 42203\/9. Find the common denominator of p and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184 divided by 6.\nAnswer: 592\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g. Suppose -3*i - 4 = -5*s - g*i, 4*i + 10 = 2*s. Let k = s + 1. Solve k = -4*j - j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -17386, 4, 77 in descending order.\nAnswer: 77, 4, -9, -17386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110110010 (base 2) to base 7\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96553790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**6\/6 - 27*t**5\/10 + 83*t**4\/8 + 21*t**3\/2 - 49*t**2\/4 + 1780. Suppose a(q) = 0. Calculate q.\nAnswer: -1, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211.64 + -3.36.\nAnswer: 208.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 10*r**2 + 2891*r - 5201. Calculate m(48).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54723\/3100 less than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - w**2 - 2*w + 1 + 2*w + 0*w. Let p be q(1). Let a be p\/(-4)*4 + -1. Which is bigger: 9\/4 or a?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 34 - 38 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0\/5) + (-30)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3 - 1878. Let o(g) = 8*g - 2. Give d(o(z)).\nAnswer: -192*z**2 + 96*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 1888968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/3 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 + (-168)\/(-60). Let q(v) be the second derivative of 0*v**2 + 0 - 1\/12*v**4 + 0*v**s + v - 1\/40*v**5. Determine z, given that q(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 7, w: 3}. Give prob of picking 1 f and 1 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/1*(-91)\/(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26*406.539\nAnswer: -10570.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/37 (b) -3 (c) 1\/4 (d) -0.45 (e) -4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Suppose -i + 2*k + 8 = 3*i, 4*i - 3*k = 10. What is the smallest common multiple of v and 6\/(-4)*(-13 + i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.405833 rounded to three decimal places?\nAnswer: -0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 + 62*v - 34. List the prime factors of x(20).\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**5*w - 322*h**4*w**2 + 2*h*w**2 + 3*w**2 + 50*w wrt h.\nAnswer: 340*h**3*w - 3864*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1.7 (c) 4\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 48*t - 45. Determine r(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.3373\nAnswer: -0.10119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 718*n*y**2 - 79*n + 4 wrt y.\nAnswer: 1436*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n + 8. Let d = -25192 + 25189. Determine l(d).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3690036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((4\/6)\/((-2127)\/531 - -4))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 bigger than 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and 699486754?\nAnswer: 699486756.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 greater than -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -11, -0.9, 1, -1\/27 in increasing order.\nAnswer: -11, -6, -0.9, -1\/27, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-22 - (-1)\/(-1)). Suppose 13 = 2*z - a + 2*a, 0 = -4*z - 5*a + l. Let d be z*1 - (6 + -7). What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/2 - 3*c**2\/4 - 3. Let t(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(5\/12)*n*n*n**7*n*n**6\/n*(n**(-2)*n*n**5)\/((n*n*n**2*n)\/(n*(n\/(n*n*n\/n**(-1\/4)))\/n*n)) assuming n is positive.\nAnswer: n**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**3 - 2*r**3 - 4*r**3)*(-8390 - 2*r**2 + 8548 + 3*r**2).\nAnswer: r**5 + 158*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from {z: 1, v: 5, t: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose j = b - 4*b. Find f such that 1\/3*f**2 - 1\/3*f - 1\/3*f**4 + 1\/3*f**3 + b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.7509 + 57.5508952. Let z = 0.8 - j. What is z rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let m be c(4). Suppose -m = d - 8. Let x(r) = r**3 - 5*r**2 + 5*r - 2. Determine x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 e when four letters picked without replacement from eeeebeuub?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -19\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25483 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/15*53\/(-106).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*-6*((1*(sqrt(112) + 1) - (-2*1*sqrt(112) - sqrt(112)))**2 - (5 + 6*(sqrt(112) + 0))**2).\nAnswer: 3744*sqrt(7) + 40752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-1232)*(-57)\/190 + 1\/11\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 6 - 80229*t**3 - 9.\nAnswer: -80229*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 32*h + 177. Calculate the highest common divisor of 1121 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 20. Let a = -42.2 + m. Let k = a + -1.80124. Round k to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160201 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2\/4 + 510*o = 0.\nAnswer: -408, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 16. Sort -3, h, -0.4 in decreasing order.\nAnswer: h, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10540, 10366, 10192?\nAnswer: 10018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172139 - -0.05.\nAnswer: -172138.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 105454*y - 6. Let m(l) = -l**3 - 8*l**2 - 4*l + 10. Let k be m(-7). Let g be c(k). Round g to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -54, -86?\n\"Answer: -32*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 18, 0.\nAnswer: -5, -2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*o**2 - 684*o**2 - 15*o**2 - 17*o**2.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/(-110) - 2\/11. Let o = 2 - 5. Let v = -2.8 - o. What is the closest to l in v, -0.4, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/66*16\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23030 and 490.\nAnswer: 23030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 134*u**2\/9 + 1060*u\/9 - 928\/9.\nAnswer: 2*(u - 58)*(u - 8)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w**3 - w + 51*w**3 - 1 + w**2 - 25*w**3. Calculate p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (161 - 25\/(-5)) + -1 + 0. Suppose -d - 66 = -3*d + 5*p, -4*p = d - 33. What is the highest common factor of n and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, j: 1, n: 2, d: 3, i: 7}. Give prob of picking 2 i.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/3*(-15)\/(-2). Let m(y) = -y**3 - 19*y**2 + 8*y - 19. What are the prime factors of m(w)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1791537 and 125354?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 21*h - 4. What is the remainder when 39 is divided by c(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t*(t\/(t\/(t\/(((t*t**8*t)\/t*t)\/t))))\/t))\/((t*t*t*t\/(t*t**(-9))*t)\/t**(3\/8)) assuming t is positive.\nAnswer: t**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7))**(-1\/12) assuming f is positive.\nAnswer: f**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -38, -20, 2, 28, 58, 92?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 0*w**3 - w**3 + (-w**2 - 1 + 1)*(w + 1 - 1) - w**3 - 4*w + 4*w + w**3 + 0*w**3 - 2*w**3 - w**2 + 3*w**3 + w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64052164.\nAnswer: 2, 11, 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438915173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**3 + 0*h**2 - 10*h**3 + 0*h**2.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -4, 2, 4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4829*p**2 + 103*p - 13.\nAnswer: 9658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 - 83*y - 4. Let a(x) = -4*x**2 + 80*x + 3. Calculate 3*a(d) + 2*z(d).\nAnswer: -2*d**2 + 74*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-261))\/((-1)\/(-12))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.8 - 16. Let d = -3 - z. Let p be 24\/20*5\/(-2). What is the closest to 1 in 2, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857.\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -30.8. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(2) + sqrt(8))**2 + sqrt(20)\/(sqrt(70)\/sqrt(112)).\nAnswer: 4*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5050 + 23510 = 714*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 + 216.3. Let x = o - 15.6. Round x to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 19 + -41 - 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -616, -615?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a + 33*a - 84*a + 312 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 4.9, -3\/5, -158.\nAnswer: -158, -3\/5, 4.9, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 6*j = -90, 171*o + 45 = 175*o + 3*j for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*h + 12 = -1565*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 8. Let d be v(7). Solve 2*b - d = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 83. Suppose 0 = -y*z + 613 - 129. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 9*b - 4. Let a be n(9). Let x be -2 - (5 - 3) - -1. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.165285 minus -0.53775?\nAnswer: 10.703035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1424351mg in micrograms?\nAnswer: 142.4351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -973\/410 - 26\/205. Which is the nearest to -130.2? (a) -2\/7 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40961969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77896\/10 + (-6)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7990 + -7843. Solve 0 = f*j - 143*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-77)\/(-11) + (1 - -1). Let d(n) = -n + 13. Calculate d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 32 = -3*z, 3*z - 3*x = -2*x + 38. Suppose -q - 5*j - z = -0*q, 3*q + j = 34. Let a = 22 - q. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 3 - (6 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 i, and 1 u when four letters picked without replacement from cucurccrcuuccicc?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15*(-3 - (-4 + -24)). Factor -1\/3*j**t + 0*j + 0 + 0*j**2 + 1\/3*j**3 + 0*j**4.\nAnswer: -j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805650*u**3 - 698445*u**3 + 348330*u**3.\nAnswer: -1155765*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 4. Let o be g(6). Suppose 21 = 3*f - 4*t - 8, -4*t = 3*f + 11. Suppose -f*x - x = 4. Is o less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 0.1. Let h = -5 + f. Let i = -846.7 - -847. Which is the smallest value? (a) i (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187 = 3*c + 1827. Let r = 912 - c. Suppose r = -3*a - 0*a. Round a to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 1 - 21\/((-882)\/(-140)). Let r be (-2)\/9 + (-1)\/(-3). What is the smallest value in c, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2\/5)))**(13\/6)*(w**(-2)*w)**4*((w**(-4\/7)*w)\/(w**1*w))**(-48) assuming w is positive.\nAnswer: w**(7409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhddhhddhddhdhdddd. What is prob of picking 3 d and 1 h?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6125 and 80951675?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.8 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 73198480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*h + 9. Suppose 2*l - 3*p - 243 = 0, 3*p - 162 = h*l - 639. What is the highest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.34 + -0.34. Let n = -24 + k. Put 6, 0, n in descending order.\nAnswer: 6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*(-3)\/9*8\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*l + 3 + (-l - 4*l + 3*l)*(-2 + 4 - 3) + 4*l - 6*l - 4*l + (4*l - 5*l - l)*(-1 + 3 + 2) in the form z*l + o and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/767280 and -49\/4140.\nAnswer: 2301840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/12 (b) -1755 (c) 7\/5 (d) 16 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 46*r + 371. Let z = -421 + 413. Let p be h(z). Solve 0 + 2\/11*f + 0*f**2 - 2\/11*f**p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 + 4*q - 7. Let s be k(-6). Let h be 603\/(-45) - (-2)\/5. Let f = h + 18. Solve 25 - s = f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let o(l) = 1. Let s(k) = k**2 - 3*k + 1. Let t be s(3). Let y(q) = -q - 1. Let f(h) = t*y(h) + o(h). Determine x(f(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12947943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 7 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -1\/2 (c) 0.09 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, l: 1}. Give prob of sequence fl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 24*a. Suppose 3*w = a, 3*w + 4 = -4*r + 5*r. Suppose 0 = -3*v + 8 + r. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.252 greater than or equal to -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 273338709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12.9*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 17 = 6*t + i, 0 = -3*t + 5*i - 37 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 76. Let c be (6 - x\/1)*4. What is the greatest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -0.022.\nAnswer: -1, -0.022, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 24 = 3450*m - 3456*m, 5*q - m - 4 = 0. Suppose -3*n = 2*d + 4 - 10, -3*n = 6. Solve 6*v = -q*v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3718, -4303, -4888, -5473, -6058, -6643?\n\"Answer: -585*c - 3133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let v(q) = 28*q - 1. Give -d(t) - v(t).\nAnswer: -29*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*p - 689, -885 = -3*p - 2*p - v. Let o = -83 + p. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 703 - 705.6. Put 0, 2\/5, -0.3, w in increasing order.\nAnswer: w, -0.3, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**23\/d*d**(2\/15)*d**(-8\/7)*d*d*(d\/((d\/(d*d*d**13*d)*d)\/d))\/d)**(-2\/59) assuming d is positive.\nAnswer: d**(-7978\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:32 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4*(-1)\/8). Let m(b) = -2160*b**3 - 2*b**2 - 2*b - 3. Is m(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + 5 + -48 - (-14 - -2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**50\/(((d\/(d*(d**0*d)\/d*d))\/d)\/d*d*(d\/(d\/(((d**(-3\/4)\/d)\/d)\/d)))\/d)*((d\/d**2*d)**(-29))**19 assuming d is positive.\nAnswer: d**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 - 624*w**2 - 12501*w + 700920 = 0.\nAnswer: -177, -55, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:49 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - 254. Let k = m - -317\/4. What is the smallest value in -2\/9, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 1, y: 2, f: 1}. Give prob of sequence fxc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2 + 0 - 1. Let b(o) = -5*o**2 + 4. Suppose 77*g - 78*g + 4*u + 15 = 0, 2*g + 6 = -u. What is g*b(a) + 3*h(a)?\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 + 39*v**3 + 424*v**2 + 1392*v + 1408.\nAnswer: -(v - 88)*(v + 2)*(v + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02923 + -0.029. What is q rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(17) + -3).\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.6, 1, 0.2, 5.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 - p - 1. Let w(y) be the first derivative of -2*y**3 + 4*y**2 + 8*y + 12040. Calculate 8*d(z) + w(z).\nAnswer: 8*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -13\/47 (c) 4\/5 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-920)\/30*(-10008)\/6394?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -27 - 9\/10*j**4 + 2\/5*j**3 + 0*j**2 + 0*j - 24\/25*j**5. Determine k so that x(k) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -237, -1357, -3245, -5919, -9397, -13697, -18837?\n\"Answer: -3*t**3 - 366*t**2 - t + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4731 (base 10) to base 15.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 + 3*i**3\/2 + 22*i**2. What is c(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2573958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-189 - -187) + -1 + (1 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -296 + 337. Solve -5*r + 16 = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-17\/2))\/p*p)*p*p**(-3\/13)*p)\/(p**(-1\/30)*p**(4\/3)) assuming p is positive.\nAnswer: p**(-522\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 122100*r - 122096 = 0. Calculate r.\nAnswer: 1, 30524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 25 = -3*f, -f = 2*y - 2*f + 15. Let u = -53 - -83. Let l be u\/(-45)*(-3)\/(-5). Which is the closest to l? (a) y (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62213209.\nAnswer: 223, 227, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 2, w: 1, r: 1, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -67. Let q be ((-4)\/o - 3848\/(-12))*2. Suppose 4*y = -4*b + 520, -5*b - y - y = -q. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = -7. Sort h, 2, -20, 4 in descending order.\nAnswer: 4, 2, h, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from {b: 6, p: 12}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(5\/(-20) + (-9)\/12). Let x be ((-70)\/(-15))\/(6\/m) + 1. Let z(r) = -x*r + 7*r - 2*r + 1. Determine z(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-24)*(-6)\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -122.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006463 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -70*n + 55*n + 44 + 88. Determine v(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.06, 3\/8, 1, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5610\/44*16\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609435167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 8*g + 15. Let w be t(-5). Suppose -3*a - 3 = -3*o - 21, w = a - 3*o - 14. Let k(f) = 51*f - 10. Is 22 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 87*v + 894. Give m(9).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 10. Let k(h) = -h**2 - 9*h + 7. Let a be 4 + 2 - (4 + -4). Let v(m) = -m**2 - 8*m + 6. Calculate a*k(z) + t*v(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59563435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*o - 18 = 22 - 30, -2*z = -7*o - 60 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100120000 (base 3) to base 12.\nAnswer: -4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226142, 226124, 226106, 226088?\nAnswer: 226070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.3 (c) 9.6 (d) 3 (e) 36\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let f be q(-3). Suppose 0 = -2*z - f*z + 12. Suppose -4*m = 0, z*m + 11 = 2*b - 57. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyvywh. Give prob of picking 1 w, 1 v, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8 + 5*p - 5*p + 7*p**2 - p**3. What is the lowest common multiple of 1 and u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:33 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 1008 = 0. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqllllqqlvlvv. Give prob of picking 1 v and 1 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-8))\/(3\/82)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 2 + 2)*(c + 0*c + 0*c) + 209 - 209 - 18*c**2 as p*c + q + b*c**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 20712 + 20712.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55085435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4b (base 13) to base 8.\nAnswer: -4053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.1 (c) -18\/7 (d) 4162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*o + 16, 3*v + 3 = -2*o - 2*o. Let a = -170130 + 170128. Sort o, a, -38 in ascending order.\nAnswer: -38, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6\/5. Let g(n) = -54*n + 3139. Let k be g(58). Sort k, i, -5 in ascending order.\nAnswer: -5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (13 + (38 - 23) + -23).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u - 70*u**5 + 2*u + 76*u**5 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*f = 20, 2*f - 6*f = -x - 15. Let n(s) = 139*s - 25. What is the hundreds digit of n(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {f: 3, j: 3, m: 12}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2 + 3*r + 1 + r**2 - 2*r**2 - 2*r. Let p(v) = -v**2 + 2*v - 2. Let j(d) = 2*g(d) - p(d). Let y(u) = -5*u**2. What is j(y(m))?\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aukkeebebapbap. Give prob of picking 2 k, 1 a, and 1 u.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/129 and 12\/(-28) - (-4 + 209\/(-210))?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(1053) + sqrt(1053) + (1*sqrt(1053) - sqrt(1053)))*-5 - 4*(-1 + sqrt(1053) + sqrt(1053)) - (sqrt(1053)*1 + -3)*6) + 0)*1.\nAnswer: -22 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105978 = 1737*r + 1380*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 o, and 1 e when four letters picked without replacement from yyyyloflfffefylof?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-8))\/(12\/(-4)*(-2)\/4).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3314227 and 2793.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111232)\/5056 - 1*49\/(-3).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 1. Let p be f(2). Let j(z) = 4*z**3 + 19*z**2 - 2*z + 6. Let s(y) = -3*y**3 - 13*y**2 + y - 4. Let g(k) = 5*j(k) + 7*s(k). Determine g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)*-1*-2)\/((sqrt(42)\/sqrt(3))\/sqrt(7))*-2*3)**2*-1.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2549*w**2 - 919*w + 920. What is the remainder when o(1) is divided by 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-6*(sqrt(119) + -2*sqrt(119)))\/(sqrt(448) + -1*sqrt(448) - sqrt(35)\/sqrt(5)*5))**2 + 4.\nAnswer: 9892\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2160\/32)\/(-9)*3\/(-30)*16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - j**3 + 6*j**3 + j**3 + 0*j**2 + 0*j**2 + (0*j + j - 2*j)*(j**2 - 3*j**2 + j**2) in the form u*j**2 + b*j**3 + d*j + q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42422 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 27908*q.\nAnswer: 2*q*(q - 13954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2301741548914050 + 7436616209432543695211\/3230865. Let m = 273189\/2354 - j. Let x = -58\/305 + m. What is the common denominator of x and 41\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. What are the prime factors of (180\/8)\/v*2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-2 - -1) - 1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/8*(13 + -1). Let t be (-69)\/189 - 4\/o. Let g = -0.74 + 2.74. Which is the closest to g? (a) t (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 49813*x. Let k(i) = 4*i**2. Give k(w(n)).\nAnswer: 9925339876*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 106296*f + 106292.\nAnswer: 4*(f - 26573)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:21 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -88*j. Let v(q) = -7*q - 3*q + 8*q. Let p(f) = 2*f. Let n(t) = 3*p(t) + 2*v(t). Calculate x(n(k)).\nAnswer: -176*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pffiai. What is prob of picking 1 a and 2 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(sqrt(63)*-2 + sqrt(63)))\/(sqrt(45)\/(sqrt(125) + sqrt(5))))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297374817 to the power of 1\/3, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59431 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4730?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 668394304 + -1890219040085\/2828. Let f = -4\/707 + w. Calculate the common denominator of -47\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/8 of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81985 or -81986?\nAnswer: -81986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j + 2. Let w be c(-2). Suppose -30 = -5*p + w. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.338 from 6.426.\nAnswer: -2.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 + (-1)\/2. Let m = u + 5. Suppose -q = 2, m*t + 2*q = q + 86. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:48 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let q = -0.26 - -0.76. Sort q, -1\/7, r in descending order.\nAnswer: r, q, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3, -q - 20 = -2*l - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Let l = d + 1. Solve r = l*g - r + 6, -5*g + 3*r = 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 2 - (-5 + -12 + 4) - -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/17)\/x**2 assuming x is positive.\nAnswer: x**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.6 - 71. What is the third biggest value in -4, 6, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58184.705 take away -840?\nAnswer: -57344.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d16 + -2?\nAnswer: -1d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152660300 by 76330150.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-16) + (-86)\/(-8). Suppose 3*z + 1 = o. Suppose b + 7 = 2*b + 2*g, z*g = 12. Is b at most as big as -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11 - (-11789272)\/2662 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 + 20*m**3\/7 + 66*m**2\/7 + 80*m\/7 + 32\/7 = 0 for m.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 - -148. Let i be -3 + (-20)\/j - (-6)\/9. Which is the closest to 0.1? (a) -1\/5 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4721257 - -2?\nAnswer: 4721261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/67608 and -95\/107672?\nAnswer: 2907144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 6*f**2 + 2*f - 6. Let z(k) = -k + 21. Let r be z(13). Suppose 3*u - r*u + 140 = 0. Suppose -2*v - 2*t - 14 = -5*v, 2*t = -4*v + u. Give s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 4:53 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -132503150 divided by 247?\nAnswer: -536450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7619065.\nAnswer: 68571585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24202 and 344.\nAnswer: 4162744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-15)*(-106)\/53?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518 + 41*m**2 + 335 - 35*m**2.\nAnswer: 6*m**2 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 14 + 4. Suppose -3*d = -5*k - 27 + 4, 0 = -d - 3*k + 3. What is the third derivative of -6*u**2 - 14*u**2 + 4*u**2 + d*u**2 - l*u**3 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/3 + 88*s**4\/3 + 319*s**3 + 2240*s**2\/3 + 1372*s\/3 = 0.\nAnswer: -7, -2, -1, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2740)\/(-240))\/(-137).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 361 = -x + 463, 0 = -4*x - l + 3387. What is the smallest common multiple of x and 455?\nAnswer: 5915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1008 - 984. Solve 33*x - z*x = 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 32*y + 127. Let x(u) = -2*u**3 + 20*u**2 + 4*u - 21. Let b be x(10). What is the hundreds digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-q + 2*q - 2*q) + (0 - 4 + 6)*(2*q - 2*q + 4*q)*(-11 - 3 - 8).\nAnswer: -174*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 + o - 3. Let d(z) = -z**2 + 13*z - 20. Let n be d(11). Let j(b) = b**2 - b + 1. What is n*j(u) + 2*x(u)?\nAnswer: -2*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = z - j, -4*j = 3*z - 12. Solve -5*f - z - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/35)\/(24\/(-126)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/20*(-288)\/180*5\/(-4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1 = -s, 0 = 2*s - 2*z - 2*z - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60639572*-0.2\nAnswer: 12127914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001 (base 2) in base 4?\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b - 40. Let g be l(-6). Sort g, 3, 2 in descending order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1119+-57.547\nAnswer: -1176.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6 = 4, -19 = 5*q - 2*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y*y*y**(-6)*(y*y**(1\/3))**30 assuming y is positive.\nAnswer: y**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -1 - (-1953)\/1953.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-171)\/(-14))\/((-2727)\/(-315) - 9)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 take away 4?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -235+4121435403\nAnswer: 4121435168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5894160918?\nAnswer: 2, 3, 23, 42711311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = n + 3*p, 4*p = -3*n + 5 + 13. Suppose 0 = 3*l + n*m - 13, 0 + 18 = 2*l - m. Solve 5*x - 29 = 4*s, -s - 3*x = -l - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Suppose -12*r = 22 + 122. Let o = 998 - 997. What is the fourth smallest value in o, r, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.41509.\nAnswer: -0.51509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3. Suppose -2*p + 4 + 2 = 0. Let x be m(p). Let s = x - -45. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 611 - 14?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7535, 30169, 67899, 120731, 188671, 271725, 369899?\nAnswer: 483199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**3 - 3*n. Let j(b) = 11*b**3 - 4*b. Let z = 92 - 64. Suppose 0 = 34*i - z*i - 18. Determine i*j(k) - 4*q(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422852764?\nAnswer: 2, 17, 59, 105397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -6, 5\/3, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(31500\/(-81))*-10*6\/36\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443258741 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000537 rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 - 4 - 43*q**2 + 6 - 3 as s*q + i*q**2 + g and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11274)\/2610 + 4 - ((-36)\/(-30))\/(-3). Do 1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242 - -531. What is the common denominator of 41\/28 and w\/12 + 7\/(-23 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - -11.7. Which is the second smallest value? (a) 5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b - 11 + 8*b - 10*b. Let h(p) = -3*p - 3 - 2*p + p. Let v(x) = -5*x - 19. Let d be v(-5). Calculate d*l(n) - 22*h(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.327 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {z: 5, p: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430060872 a multiple of 11699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:53 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -276603 smaller than -276596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0809 take away -33848249.3769?\nAnswer: 33848249.4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 4*d - d)*(2*d**3 - 2*d**3 - 2*d**3) + 0*d**4 - 25*d**4 + 14*d**4 - 14*d.\nAnswer: -7*d**4 - 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1593 - 874. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -373*x + 9700. What is the smallest common multiple of 408 and p(24)?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 98, -129, -0.3, 1\/2?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 8, v: 5}. Give prob of sequence uuvu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/(-102))\/((-1)\/3) + 3. Suppose 3*a - 5*h + 15 = 0, 4*a - h + 6 = h. Let o = a - 0. Solve -k*v + 3*v = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + 0.25. Let o = 0.81 - 1.51. Let a = o + y. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose 32*o = 29*o - 24. Calculate the lowest common multiple of ((-90 + o)\/(-7))\/(1*2) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 93403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150 + -216?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6*m = m + 89, 3252*m - 3257*m = 55 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*s - 136*s = 99*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 482, 1753, 3864, 6809, 10582?\n\"Answer: -j**3 + 426*j**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 27 = -4*w, -x + 2*x = -3*w + 27. Suppose -4760 = x*l - 31*l. Is l a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-12)\/54*5\/((-70)\/12).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19*m**(-17)\/m assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332155.\nAnswer: 5, 66431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -1 - (3 - 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c = -55*c - 20. Let y(h) = -h**3 + 5*h**2 - 2*h + 7. Let p be y(5). Put p, c, -1 in descending order.\nAnswer: -1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 41*n**2 + 35 + n - 2*n**2 + 2*n**2 + n**2 + (n - n - n)*(-n + 3*n - 4*n) to s*n**2 + i*n + w and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*n + 98*u - 97*u, -4*n + 35 = -3*u. Solve -5*i - 6 = -3*c, 3*i - 3 = n*c - 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 114 = 509. Let m = 132 - f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h + 7*d - 3*d, 2*h = -d + 3. Calculate the highest common divisor of h and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4885.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 317, 475, 633, 791?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -14708?\nAnswer: -29416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 363*p + 16124. Let q be o(40). Find f such that 4\/5*f + 6\/5*f**2 - 2\/5*f**3 - 6\/5*f**q + 0 - 2\/5*f**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 - 193. Let r be (-58400)\/(a - -2)*8500\/(-8). What is r rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 0*a**2 - a**3 + (-3 + a + 3)*(-6*a**2 + 4*a**2 + 0*a**2) + (88 + 25 - 29)*(a**3 + 0*a + 0*a) in the form f*a**2 + m + n*a + i*a**3 and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11972 and 48764?\nAnswer: 1999324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*f + 34 = 0, -z + 6*f - 3*f = 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutuuuuuuttutu. What is prob of picking 1 t and 2 u?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:59 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 4*m = -16, -12 = -3*w - 3*m. Let g be (3 + 0)\/3 + w. Let f be 13 + -9 - (-43 - g). Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c**(-10)*c)\/c))**(1\/44)*(c\/(c\/c**(-2)*c))**(-13\/6) assuming c is positive.\nAnswer: c**(74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128) + -3 - sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: -18 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 150\/22 + -7 - (-24)\/(-110)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 6\/5, -2\/7, 12, 1\/7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - 1?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1091 - -1794. Let q be (-2)\/14 - y\/(-1295). Suppose -2*s + 1 = -2*o + 9, -s = o. Which is the nearest to q? (a) o (b) -0.4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Suppose 2*h + 2 = 5*b - 11, b + 13 = f*h. Suppose -h*o + 64 = -2*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-4 + -3 + 4). Let i(d) be the second derivative of 3*d - 5\/42*d**4 + 1\/70*d**k + 0 - 4\/7*d**2 + 8\/21*d**3. Factor i(n).\nAnswer: 2*(n - 2)**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*z - 92*z + 20872. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12866 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/72162 and -49\/1881?\nAnswer: 793782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 17093 = 17*j - 16437. List the prime factors of j.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-738)\/(-48) - (-30)\/(-60).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.9 (b) -4 (c) 3\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.0926 micrometers to nanometers.\nAnswer: 224092.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-4))\/((-324)\/(-9504)) is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = -n, -5*s - 1383*n = -1388*n + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/27 (c) -27016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/20 + 13*w**4\/12 + 11*w**3\/6 - 5*w**2 + w. Let b be j(-12). Solve -m = b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 6*j - 3. Let h be n(-5). Let g be h*(-2 - (-2)\/(-4)). Which is the fourth biggest value? (a) 4 (b) -0.5 (c) 1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.12, 1270, 4\/5, 0.04, 1\/3 in ascending order.\nAnswer: -0.12, 0.04, 1\/3, 4\/5, 2, 1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(75) + 0)*-6 - (sqrt(75) - (sqrt(75) + 5 + (-2*sqrt(75))**2))*4) + -4.\nAnswer: -30*sqrt(3) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 24. Suppose 18*h - t*h = -420. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71346 + 71346.0000042303. What is k rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5070?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1439?\nAnswer: 3\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 14) to base 11\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 56 = -4*q, 1716574*s + 4*q - 2 = 1716578*s - 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.47947.\nAnswer: 0.191788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/7)\/((-885)\/7434)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.124 - 0.864. Let m = -3.26 + o. Let x be ((-22)\/10)\/(1 - 0). What is the second biggest value in m, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*n - 4*m, 5*n - 5*m - 267 - 93 = 0. Which is the third biggest value? (a) 1\/6 (b) 5 (c) n (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -1. Let n = g - -15. Let c = n + -9. What is the closest to -1 in 0.5, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-8)*(-67 + 22363\/321) + 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 36 - 42 = -84 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1103 or -14?\nAnswer: -2\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186073.5 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2840 and 194824.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 354*p + 2847. Determine a(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2004 - -3645. List the prime factors of j.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9082 and 46474.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2.1.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - r + 15, -2*g - 6 = -4*r. Sort -2, -7, -1, g.\nAnswer: g, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7709+649\nAnswer: 648.2291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3719*j**5 - 3412*j**3 - 69428*j**2 - 1550*j wrt j.\nAnswer: 223140*j**2 - 20472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1709, -650, 1111, 3574, 6739?\n\"Answer: 351*g**2 + 6*g - 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:24 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -8 - ((7 - 7) + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.5. Let v = -3.685 - 0.165. Let n = -0.85 - v. Which is the second biggest value? (a) -2 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7692 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10190, -14612, -19020, -23408, -27770, -32100, -36392, -40640?\nAnswer: -44838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4122.18 + -4164. Let a = -0.18 + d. Let o = -45.6 - a. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5656844 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, -8\/3, 4.3, -11 in descending order.\nAnswer: 4.3, 1, -0.4, -8\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 489, 431, 301, 69, -295, -821, -1539?\n\"Answer: -5*l**3 - 6*l**2 - 5*l + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s - 16. Let q be o(-8). Let f = -959 + 963. Solve q = 3*y + 8 + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5 = -c, 117*o = 122*o - 5*c + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.285 + 0.4. Round o to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331.4 times -3.318\nAnswer: 1099.5852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3\/3 + 5*o**2\/2 + 6*o + 5. Let w be i(-5). Suppose -w*a + a = -590. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-2))\/(-4)*(-45)\/(1350\/60)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.038+-10\nAnswer: -10.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 4*x**2 - x**2)*(-x - 2*x + 2*x) - 4*x**3 + 5*x**3 - 5*x**3 + (-1 + 2*x + 1)*(x - x - 2*x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t = 4*w - 24, 3*t - 24 = w. Let v(i) = -i**3 + 7*i**2 + 14*i - 6. Let q(h) = h**3 - 5*h**2 - 9*h + 4. Determine t*q(f) + 5*v(f).\nAnswer: 3*f**3 - 5*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*q = 100 - 19, 5*q = g - 87. Suppose 100*x - g = 96*x. Let o(i) = -i**3 + 1. Let k(s) = -12*s**3 + s**2 + 9. Give x*o(d) - 2*k(d).\nAnswer: 6*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)\/((-4)\/(-10)). Suppose 3*s - 3*g - 162 = 0, -142 = 3*s - 6*s - 2*g. Suppose -116 + s = -33*y. Solve 9 = i*f - y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15507?\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 383374975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. Let w be (-8)\/20 - 33998\/p. Round w to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/6 (b) -1 (c) -1\/4 (d) -890\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-14\/3) assuming u is positive.\nAnswer: u**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 239. Let n(t) be the second derivative of -19*t**3\/6 + 3423*t. What is k(n(x))?\nAnswer: -361*x**2 - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = 154. Suppose 6*v = 4*v + w. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((38\/8)\/(6645\/1772))\/((-1)\/(-3)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/10*(-108)\/(-63)*(-1)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 15. Let q be d(4). Suppose -2*c + c = q*c. Let n be (-2)\/7*(c + (-42)\/24). Put n, 1\/8, 0.4 in ascending order.\nAnswer: 1\/8, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -631176 + 631176 - 76*l + l**2 as k*l**2 + w*l + v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 3357.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 99*k**2 + 91*k**2 - 288*k**2 + 95*k**2 to g*k**2 + m*k + n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t**2)*(1280 - 1280 - 35*t**3)*(-62 + 24 + 77).\nAnswer: 2730*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000343409 rounded to 7 decimal places?\nAnswer: 0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 14. Suppose -4*w + 5*f - 23 = 0, -w + 0*f = -5*f + 2. Let u be g(w). Suppose -4*d = 3*n - 0*n - 32, 3*d + 5*n = 35. Solve u*t - d*t = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196165933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 157712 - 1484. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 5. Let h(r) = r**2 - 7*r + 2. Let l be h(5). Let k be v(l). Let w(d) = -d - d**2 + k*d + 2*d**2 - 3*d. What is w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 2, m: 9}. What is prob of sequence ham?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -21 + 5 + 7 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -209*j + 63. Is q(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15 - 70*w + 75*w + 5. Let v(z) = 4*z - 9. Let s(r) = 2*a(r) - 3*v(r). Calculate s(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*t - 283*t - 10107*t**3 - 296*t.\nAnswer: -10107*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**2*z**6 - 10*a**2*z**3 - 380*a**2*z**2 - 2*z**2 wrt z.\nAnswer: -720*a**2*z**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7869 and 14277843?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 7*f**6\/20 + f**5\/30 + 10*f**2 + 9. Let b be g(1). Calculate the greatest common factor of 88 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 628136 (base 13) to base 3\nAnswer: 11022222200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*j - 43, 2*s - j - 1 = -2*j. Let c(u) = -11*u**3 + 3*u + 4. Let k(o) = 12*o**3 - 4*o - 4. Give s*k(p) - 4*c(p).\nAnswer: 8*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9\/7)*h*h\/h**(1\/5))\/(h**8)**(-44))**49 assuming h is positive.\nAnswer: h**(86366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18)\/sqrt(8))\/(-2*sqrt(6)\/(sqrt(2) + sqrt(2) + sqrt(32))).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/13)\/70 + 224\/(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 w when three letters picked without replacement from izkikuuuawukkikikki?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/9 + 223*c\/9 - 11050\/3.\nAnswer: (c - 102)*(c + 325)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*x = 21, 193*x + 57 = f + 132*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -481*j + 27. Let h(w) = w + 1. Let y be h(-9). Let r be x(y). Let g = r - 2738. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75873789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-8)*(2*1)\/(-2). Solve 0 = l + l - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92.4 - 91. Which is smaller: 6\/7 or k?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46135 divided by -5\nAnswer: -9227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y. Let z(m) = -153*m - 1. Give o(z(h)).\nAnswer: -2448*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -1\/2, -56?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let t(x) = 4. Let g(y) = -5. Let m(w) = 5*g(w) + 6*t(w). Calculate 3*l(f) - 3*m(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*z + 12874, 2*z + 4491 = 4*m - 21225. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351455169 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715248628 to the power of 1\/2, to the nearest integer?\nAnswer: 26744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 107.95 and -0.2.\nAnswer: 107.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31d (base 16) to base 5\nAnswer: 11142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1818 * 4571\nAnswer: 8310078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m - 6. Let s be z(-3). Let d = s + -3. Suppose d*g - 15 = 0, 2*l + 2*l + 10 = -2*g. Let a(u) = -u. What is a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 - 104\/18. Let n(j) = -j**3 - 5*j**2 - 5*j - 9. Let c be n(m). What is the smallest common multiple of 36 and c\/9 - 3\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211275 and 275?\nAnswer: 2324025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11094558*a**5 + 12428349*a**2.\nAnswer: 665673480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 27. Let a = 67 + h. Sort 4\/3, 4\/7, a in decreasing order.\nAnswer: 4\/3, 4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -3 (c) -0.1 (d) 32164 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555 (base 12) to base 9.\nAnswer: -1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 27*w - 57*w + 30*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*i + 2 = -2*i, l - 2*i = -6. Suppose l*s + 2*s = 44. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691889486?\nAnswer: 2, 345944743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -89, -198, -351, -548?\n\"Answer: -22*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-40) - 230\/100.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58591548\/7 - 58298511937\/6965. Let d = n + -9\/199. Which is bigger: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/((c*c\/(c*c*c**(-3\/7))*c)\/c))**22*(c*c**(-3\/5)*c**2)**14 assuming c is positive.\nAnswer: c**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 30\/(-8)*(-48)\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 643805169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5252 - 5217. Calculate the least common multiple of l and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40 from -10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*p - p = -23, 4*p - 16 = 0. Let r = u - -116. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2*-1*(-1)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 27*s - 45. Calculate m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463990?\nAnswer: 2, 5, 46399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12270 (base 14) to base 12\nAnswer: 21836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. What is the third derivative of 5*k**5 - 260*k**z - k**5 + 266*k**2 wrt k?\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from szzszszzsszzzz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -149. Which is smaller: -26\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 68. Let k be i(-21). Suppose o - l - 3 = -5*l, -4*o - k = -l. Let v = -3.08 - -0.08. Sort 3\/4, v, o.\nAnswer: v, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1098c (base 15) to base 5\nAnswer: 3142112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2695) + sqrt(55))\/(1*sqrt(405) + sqrt(5)))**2.\nAnswer: 3179\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.388752+-0.014\nAnswer: 1.374752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/3 + 1198144\/(-15440).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311580 by 15.\nAnswer: 20772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -9)*(-10)\/6. Suppose s = -2*c + 37, 36 = -o*c - s + 136. Let h = 26 - c. Solve 2*t - 2 = h*p - 6, 2*p + 2 = -t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 175, 539, 2\/9 in increasing order.\nAnswer: 2\/9, 3, 175, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227 - 215. Let x(p) = p**3 - 6*p**2 + 4*p + 6. Let k be x(5). Differentiate -15 + k + z*s**2 + 2 + 1 with respect to s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - (4 - 8)) + -74 + -18?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14.84 or 2?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c + v, 105*c - v + 5 = 106*c. Let i = 2.3 + -2.1. Let d be -2 + (-4 + 2 - -3). Sort i, d, c in decreasing order.\nAnswer: c, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13902 divided by 1\nAnswer: -13902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 18*g + 21. Calculate the remainder when r(14) is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96713342 or 676993388\/7?\nAnswer: 676993388\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 28*m**2 + 6*m + 21. Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/11 + 16\/11*h - 2\/11*h**2.\nAnswer: -2*(h - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 34*y - 40. What is x(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2 = -3*x - 4*w, 2*x - 5*w = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 163\/6*y**3 + 12*y - 10 + 169\/2*y**2. Find the first derivative of c(m) wrt m.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*g - 464*g + 2 = 0. What is the closest to -1\/3 in 2, -2\/11, g, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64120 - -13423. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1132738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 8:52 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207815715 - 145*b**3 - 207815715.\nAnswer: -145*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*v + 3*v - 7, -19 = y + 3*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2739 = 124*h - 507 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 - 5*c - 47. Let u be b(-5). Let m(w) = 2*w**3 - 5*w**2 + 2*w + 3. Let r be m(u). Sort 2, 4, r.\nAnswer: 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + 2\/7. Let h(z) = -3*z**3 - 5*z**2 + 451. Let q(g) = -2*g**3 - 3*g**2 + 226. Let m(j) = 3*h(j) - 5*q(j). Is m(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139480.189 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (-7 - -3) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*q**2 + 663816*q + 28187507?\nAnswer: 22*q + 663816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 7*b**2 + 6. Let d be k(7). Let j be d\/(-8) - (-182)\/8. Let c = j + 4. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s + 27. Let n be c(-5). Let y be 50*(-2 + n\/(-20)). What is the tens digit of 498\/8 - 1\/y*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (-48)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 7*w + 9. Let g be 15*w\/(15\/20). What is g rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/838440 and -59\/22.\nAnswer: 9222840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*394 - (34 + -39). What is t rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230001400 (base 5) in base 13?\nAnswer: 7cc4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 1. Let z be g(-1). Suppose 3*w - 29 = -5*a, 0*a - 3*w + 21 = z*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170\/3 + -57. Which is smaller: s or 44?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335644?\nAnswer: 2, 83911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 5908052 and 5908038 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 401?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*x + 999*x - 9270 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1315 - 120501?\nAnswer: -116153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 172*y**2 - 16*y - 37. List the prime factors of i(-5).\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153091 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 + 9*u\/4 - 19\/8.\nAnswer: (u - 1)*(u + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -35. Let f be t\/(-5)*50\/30. Let z be 0 + -3 + 1 + -1. Put 0.4, z, f in ascending order.\nAnswer: z, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 496 + 161?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - v**2 + 9*v - 14*v + (-4*v - 3*v + 18*v)*(-2*v + 0*v + v) as j*v**2 + u + r*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 8, b: 1, g: 2, q: 5}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -25288204 + 1555204. What is y rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -2d0406?\nAnswer: 2d03e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*s, 4*m + 4*s = -m + 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 7*n - 57. Calculate t(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 34 - (1922 + -1749)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d. Let n be 2 - 0\/1 - 0. Let m(g) = -2 + 3*g**3 - 2*g**3 - n. What is m(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3103\/970 + 1\/970. Let d be (-1460)\/(-73) + ((-98)\/(-5))\/(-1). Find h such that -d*h + 8\/5 - v*h**2 + 8\/5*h**4 - 2\/5*h**5 + 4\/5*h**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*q + 458, 2*q - 180 = j - 3*j. Sort j, 5, -4, 4 in ascending order.\nAnswer: -4, 4, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 11 = 2*s + h, 0 = 5*s - 5*h + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-4))\/((-141064)\/(-29312))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 - 6228*o**3 - 6236*o**2 + 6228*o + 6232 = 0.\nAnswer: -1, 1, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, k: 5}. Give prob of sequence bk.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 84 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445902841?\nAnswer: 2251, 198091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -5*o - 4*y, 4*o - 43 = 3*o + 5*y. Suppose -52 = n - o. Let u(m) = 15*m. What is the least common multiple of u(2) and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1183)\/2366)\/((-65)\/(-200))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202 + 199 - (6 - 7)\/((-3)\/171)) + -5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 4*2\/(-4). Find the third derivative of -57*b**4 + 61*b**4 + b**2 - 2*b**o wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 + -2 + 3)) + (333 - 307)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + -4*18\/(-27). Let n be (0 + -25)*(t + -1 + -3). What is the highest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 + r**3*s**2 + 19981*r**3 + 5*r**2*s**2 - 42*r*s**2 - 3*r*s - 4*s wrt r.\nAnswer: 48*r + 6*s**2 + 119886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 1, q: 1, e: 1, s: 1}. What is prob of sequence sb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6234369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 - 250. Calculate the remainder when 75 is divided by d\/(-4) - (-2)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 371*x**3*y**2 + 1123*x**3*y + x**3 + 2*x**2 - 1295430 wrt y?\nAnswer: 742*x**3*y + 1123*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 84 = -231. Let p be h\/(-455) + 4\/26. Put p, 19, -0.3, 0.4 in descending order.\nAnswer: 19, 0.4, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)*(23 + -6). Solve 5*r = x + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/40*(-234)\/(-7020)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnnr. Give prob of sequence nrnr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1976 (b) 6 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672863.\nAnswer: 19, 140677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 43. Calculate the remainder when v(-31) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -30*b**2 + 25. Let k(z) = 5*z**2 - 4. Give 4*g(f) + 25*k(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - 0 - (26 - 19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + 4*g + (-2*g + 0*g - g)*(3 + 1 - 2))*(-10 - 3 - 7)*(-3 - 1 + 6)*(3*g**2 - 3 + 3).\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -495*y + 2*y**2 - 488*y - 490*y + 1478*y - y**2 + 5. Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4 - 60*n**3 - 3*n**2 + 60*n = 0.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3923, -3925, -3929, -3935, -3943?\n\"Answer: -c**2 + c - 3923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 6*j - 2. Let b be w(7). Suppose b*s - y - 188 = -3*y, 0 = s + y - 40. Let o be (5 - 7) + s\/21. Is 1 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-22664)\/(-8499)*82\/4.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, f: 1, b: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 337, 8\/21, 3\/26?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * -0.0712798.\nAnswer: 0.0031363112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9)*3)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 837134\/7830195 + -2\/23235. Find the common denominator of b and 2\/7.\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -7 in descending order.\nAnswer: 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2393 and 746196.\nAnswer: 743803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {c: 2, h: 2, i: 11, j: 4}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-4)\/(-16)*0)\/(-1))\/(-2). Let m(h) be the third derivative of 0*h**3 + g - 1\/15*h**6 - 2\/105*h**7 + 0*h**5 + 0*h**4 + 0*h + h**2. Factor m(a).\nAnswer: -4*a**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 564.386 or -28?\nAnswer: 564.386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 6811*c\/2 + 174981.\nAnswer: -(c - 6862)*(c + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-524)\/(-6) - (-6)\/(-18).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -1, 7, -450 in ascending order.\nAnswer: -450, -2, -1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2*f = -2*q - 14, 5*f = 2*q - 25. Suppose 0 = 2*c + 2. Let b = c + q. Solve b*x + x - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 2*d + 3*d**2 - 2*d - 2 - 3. Let t be x(-7). Suppose -2*v = -t + 18. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*p - 15190 = 0, -3*r - 4673 + 13809 = 2*p. Let z = 8561 - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 178*w**2 - 258*w - 3262. Does 107 divide m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**5 - 99*q**4 + 9499*q**3 - 85960629*q**2.\nAnswer: 540*q**2 - 2376*q + 56994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 338974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 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: Suppose 45 - 13 = k. Suppose -2*f = -1 - 23. Suppose -k = -u - 5*i, -5*i + 8 = -f. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*f + 30 = 0, 30 = 3*c - 0*c + f. Solve -j - j = -c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13040555758338 + 0.6.\nAnswer: -13040555758337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45240 divided by 40\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3*i + 3)*(2 - 6 + 1) + 0*i + 2*i - 3*i)*(-1 + 2*i + 1)*(0 + 1 + 1).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*r = 205, -3 = 5*r - 6*r. Calculate the highest common factor of w and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 - c**3\/3 + 75*c - 19. What is the units digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -3.1.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - b**5 - 1 - 3*b**5 - 2*b**5 + 3*b**5 + (1 - 6 + 3)*(-4*b**5 + 3*b**5 + 3*b**5) + 311*b**5 - 4 + 2 - 310*b**5.\nAnswer: -6*b**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - (0 + sqrt(108)))**2)*2.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 48*u**2 - 11 + 16*u**2 - 72*u**2 - u.\nAnswer: -104*u**2 - u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -0.3, -23.457, 4, 0 in descending order.\nAnswer: 17, 4, 0, -0.3, -23.457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d + 3, 0 = 4*p + 2*d - 204. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 15 + (2 - 21) + 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 25 + 29 - 3*y + 29 + 16*y - 111.\nAnswer: 13*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2926, -2882, -2756, -2506, -2090, -1466, -592, 574?\n\"Answer: 7*p**3 - p**2 - 2*p - 2930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170.5 + 170. Let p = l + 0.4. Let y = -0.06 - 0.44. What is the second biggest value in -5\/2, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-51)\/7650*70.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or -201287\/102?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 2.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:59 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112122000 (base 3) in base 12?\nAnswer: 6209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - 3) + -8 - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 5. Let d be r(-8). Suppose -149 = -d*z + 232. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 + -183.99084. Round n to four decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 7. Let v = -0.7 + -0.1. Let f = v + 0.7. Which is the nearest to 0.3? (a) f (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = 3. Suppose 3*w + 40 = 4*h, b*w = -5*h - 22 + 72. Suppose -2 + h = 2*m. Solve -8 = 4*a - k - 2*k, m*a - 2*k = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 - 23104*r**2\/5 - 184736*r\/5 - 369408\/5 = 0. Calculate r.\nAnswer: -11544, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075600153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/14691 and 32\/4897.\nAnswer: 14691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 3*c + 2*c + (-9 + 10 - 8)*(c + c - c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.2259 to two decimal places.\nAnswer: -9.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 + 6*n - 10. Let s be l(8). Calculate the highest common divisor of 54 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - 3 - 3. Let p be 6*1\/(-10)*m. Suppose 11 = p*c + 2*v, 2*c = 3*c - v - 7. Solve -l = -c*s + 2*l + 11, 5*l = s + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 e when four letters picked without replacement from {m: 2, e: 3, u: 2, g: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -29. Let l = k - -34. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 2 (c) -0.4 (d) -2\/11 (e) -29970\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:43 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 373810939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(-8 + 8*p + 14 - 6).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*i - 4*l, 24 = 5*i - 1349*l + 1351*l. Let b(v) = -v**2 - 6*v - 5. Let s be b(-5). Let g = s + 4. Solve g = -0*f - i*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-21) - -2 - (-140 - -139).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 9*c**2 + 15*c - 38. Let v be d(12). Calculate the greatest common divisor of 50 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.72 to the nearest integer.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 12 - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 527 or 90332\/171?\nAnswer: 90332\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 395*b - 1592. Calculate f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-42))\/(-3*2\/(-42)). Let m(f) = f**2 + f - 2. What is m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, 24 in ascending order.\nAnswer: -1, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b + 4. Let w(m) = -390*m - 91. What is -91*u(r) - 4*w(r)?\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-105)\/(-9))\/((-13)\/3 - -4). Let w = 39 + d. Solve 3*k + 5*y = 3, 5*k + 5*y - w*y = -17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzz when three letters picked without replacement from {o: 3, n: 1, z: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/7 (b) 3 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61741, -123517, -185297, -247081?\nAnswer: -308869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2283808 divided by -46\nAnswer: -49648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 105176\nAnswer: -5\/105176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 500*d**2 - 1006*d + 504.\nAnswer: 2*(d - 1)**2*(d + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**3*y**2 - 9*j**2*y + 67*j*y**2 + 6*j*y wrt j.\nAnswer: -42*j*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/290525889 and -7\/6.\nAnswer: 581051778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*d**2*r*u**2 + 2*d**2*u + 2*r*u wrt u?\nAnswer: -104*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743, -6610, -14965, -23322, -31681, -40042, -48405?\nAnswer: -56770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 41*g + 3. Let u(s) be the third derivative of s**5\/60 - 9*s**4\/8 - s**3\/3 + 10268*s**2. Give -5*b(v) - 8*u(v).\nAnswer: 2*v**2 + 11*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8336 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 161667 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 47 = 5*w, 2*w - 10 = -3*s + s. Suppose -31 = -s*f + 33. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l\/((l**(-1\/5)\/l)\/l)*l)**12\/(l\/(l*l\/l**7)*l**(-1)*l**(-5)\/(((l\/(l*l**(2\/15)\/l*l))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(779\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**4 - 1324*g**3 - 18756*g**2 + 7276*g + 12792 = 0.\nAnswer: -13, -2\/3, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:12 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -153 - 1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 10*w**2 + 9*w + 6. Let c be p(-9). Let m = 4 - c. Let g = m + 7. Solve -g*d + 11 = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/10228 <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3\/45*-1). Let m(w) = -2*w**2 + 10*w - 8. Let f be m(6). Let a = f - v. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4 + 9 + 152. Suppose d = 5*c + 402. Let s = c - -53. Solve 1 = -3*k + s, -4*k = 5*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*l, -w - 2*l + 20 = 3*w. Solve 5*s + 5*u = 0, -u - 68 = w*s - 65 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -62.12\nAnswer: -4.9696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -179091 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 23155.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.817525m in centimeters?\nAnswer: 581.7525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91908, 735192, 2481220, 5881356, 11486964, 19849408, 31520052, 47050260?\n\"Answer: 91894*d**3 + 8*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose l = b - 0*b. Let g = -43 - -128\/3. Is b equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 0 - 10\/3*k**4 + 5\/6*k**5 - 10\/3*k**2 + 5\/6*k + 5*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/86744 and -83\/56?\nAnswer: 86744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -1 - 11. Let w be 1\/(m\/(14*3)). Is -7*w*(-4)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -785745806 or 1?\nAnswer: -785745806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216629.62 rounded to the nearest 100?\nAnswer: -1216600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-16) + (-255)\/136. Let k = 4.9 + -7.8. Let y = -3 - k. Which is the closest to 0? (a) h (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 284 = 5*w + v, -2*w + v = -124. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 92, 140, 188?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6814 + -6746. Solve -3*x + 3*q = 27, l = -5*x - q + 53 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(10) - (5*sqrt(160) + sqrt(10)))\/(-2*sqrt(242) + sqrt(242) - sqrt(242) - ((sqrt(2) - sqrt(96)\/sqrt(3)) + sqrt(2))).\nAnswer: 17*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -20 (c) -269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w - 2. Let v be w + 0 + 0 + 7\/7. Suppose -3 = 3*l, 5*n + 0*n - v*l - 17 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -683, -7 in ascending order.\nAnswer: -683, -7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 13*k - 19. Give h(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26130 and 380055.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 130*w - 188. Is 50 a factor of r(122)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.066 and -2?\nAnswer: 2.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*a**2 - 105*a**2 - 93*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -2.52, 11, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 170. Let p = -26 + t. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6095789 - -5.7526.\nAnswer: -6095783.2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a - 3. Let k be r(-3). Let q be 4\/k*6\/4. Suppose 3*f + 0*y + 6 = q*y, 2*y - 10 = 4*f. What is the closest to 0.2 in -1\/4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 154572772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -138 - 138 + 277. Let k(c) = 2*c + 2. Determine 5*f(m) - k(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:55 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 32. Calculate the lowest common multiple of 11 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 28*n - 58. What is the hundreds digit of c(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4768915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/565 and 62\/12655.\nAnswer: 1430015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(3\/12)\/((-12)\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(-3\/8)\/b)*b)*b)\/(b**(3\/5)*b))\/((b*b\/((b**2\/b*b)\/b)*b*b)\/b)**(2\/79))**(-48) assuming b is positive.\nAnswer: b**(57366\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/5 + 46*n + 6588\/5 = 0.\nAnswer: -61, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16*s**2 + 9*s**2 - 23*s**2 - 3*s**2. Let g(h) be the third derivative of -h**4\/24 + 4*h**2. Determine g(o(r)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.99 - -0.01. Let g = w - 27. Let m = 0.41 + -0.01. Which is the biggest value? (a) 1 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*x + 161 = 491*x - 757 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/9, -10, -3.024, 0, -2, 0.1, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -85612236 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16111740077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1581 divided by -6?\nAnswer: 527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 5365250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2668451 to the nearest integer?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 12*x - 8*x**3 + 14*x**2 - 3*x**2 + 31. Let f(w) = -4*w**3 + 6*w**2 + 6*w + 16. Let t(h) = -6*d(h) + 11*f(h). Differentiate t(i) wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 11*a - 15*a = -16, 3*x + 5*a - 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 419 = 2*p, 4*p - 11 - 246 = -3*b. Suppose -f + 5*v + 23 = 0, 3*f - b = v - 0*v. Suppose 3*w = 7*w - f. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -63, -91, -107, -105, -79, -23?\n\"Answer: t**3 - 3*t**2 - 32*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:13 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -458, -465, -468, -467, -462, -453?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1.556 (c) -2.6 (d) 25 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/14 + 18\/(-567)*-9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1321, -5302, -11937, -21226, -33169, -47766?\n\"Answer: -1327*p**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/((-2400)\/45))\/(2\/4))\/(189\/216)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 117\nAnswer: -81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8394, 31442, 69846, 123600, 192698?\n\"Answer: -h**3 + 7684*h**2 + 3*h + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/132 and -155\/1392.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 - 1275392*b\/5 + 101664047104\/5 = 0.\nAnswer: 159424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 4*q**2 + 4*q + 3. Let h(n) = 3*n**3 + 5*n**2 - 5*n - 4. What is 4*h(u) + 5*p(u)?\nAnswer: -8*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 372130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/5 + 131*u**3 - 5438*u**2 - 17228*u - 58296\/5 = 0. What is u?\nAnswer: -694, -2, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8133 = -5*h - 2915, 0 = 2*h + 4*c - 2096. What is the highest common divisor of 144 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + 303?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 50*w**2 - 4 + 2 + 9*w - 53*w**2 - 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 17 = 4*t + t, 0 = 2*t + 2*h - 2. Let q = -3 - -3. Suppose q = 3*a + t*j + j + 4, -3 = 2*a + 3*j. Let m(o) = o**3 - 6. Determine m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1\/19)*c*c**13\/c*c**12*c\/((c*(c\/(c**(-2\/9)*c))\/c)\/c)*c)**(-45) assuming c is positive.\nAnswer: c**(-25505\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, 14, -4, 3.\nAnswer: -24, -4, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -40. Suppose z*t - 4*t - 4*x + 64 = 0, -5*x = -5*t + 30. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2371050 - 43428950. What is a rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0632 + 0.2632. Which is the closest to -2? (a) h (b) -2 (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Which is the closest to -2\/9? (a) 4 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -b - 13, 2*b - 4*j = 6*b - 28. Suppose 3*n = -5*k - 24 + 4, 0 = 5*n + 3*k + 28. Let t = 41 - n. Calculate the remainder when t is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4997389 + -4997389.03999993. Let a = l - -0.04. Round a to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45230917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74088437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 5. Let f be -8 + (-4)\/(-1) - -1*2. Let o(u) = 7*u - 9. Calculate f*o(q) - 5*j(q).\nAnswer: q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 1468?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*u + 14753422 + 2890534. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -68*v**2 + 14*v + 7. Let n(f) = -58*f**2 + 14*f + 6. Let s(h) = -7*n(h) + 6*t(h). Find b, given that s(b) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6215166 is divided by 725?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 - -0.2. Let n = l - -3.01. Put 1\/2, n, 4 in ascending order.\nAnswer: 1\/2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 240\/180*68190\/4 - (-6)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10 + 70 = 0. Suppose 8*d - m = 4*d. Let q be ((-10)\/(-4))\/(d\/20). Calculate the greatest common divisor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 45\/14, -1\/2, 5, 4 in decreasing order.\nAnswer: 5, 4, 45\/14, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w + 12. Let j be p(0). Let v(u) = -6*u**2 - 1299*u + 667. Let y be v(-217). What is the greatest common divisor of j and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 50*y**4\/3 + 8230*y**3\/3 - 37568*y**2\/3 - 37239016*y\/3 - 24754240 = 0?\nAnswer: -120, -514\/5, -2, 301\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2960)\/(-1110)*((-2079)\/(-484))\/(-9)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2721, 5446, 8169, 10890?\nAnswer: 13609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Suppose 8*d - 14 - 2 = 0. Let i(t) = -d*t + 3*t - t - t. Give i(l(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.035 greater than 1413931.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u - 2*u - 2*u + u - u + 2*u - 2*u - u + 4*u + (-u - u + u)*(-6 + 1 + 3) + 0*u + 5*u - 3*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -244 and 1154.562.\nAnswer: -281713.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 + 16*i - 10. Let b be a(7). List the prime factors of (3\/2)\/(b\/112).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 35 = -203 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*p**3 + 99*p**2 + p.\nAnswer: p*(p + 1)*(98*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 5*d**2 - 30*d - 70. What is j(-6)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 7*z - 4. Let h be j(6). Suppose 0 = -3*b + 9, -3*b = -i - 6*b + 2. Is 14 a factor of (-23)\/h*14\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*c**3 + 14\/3*c - 16\/3*c**2.\nAnswer: 2*c*(c - 7)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.4 times -16\nAnswer: 326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4101 and 6?\nAnswer: 8202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -2. Suppose -7*x = -4*x - d. Solve 4*m = -2*t + x, -4*m - 1 = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30285 is divided by 14177?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - -0.2. Let j be (-4)\/(-8) - (-9)\/(-24). Which is the third biggest value? (a) f (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14030787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 718, 5, -5, -4 in decreasing order.\nAnswer: 718, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 206993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:37 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 861010 + -520151. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3, 0.1, 1628, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2*u - 5*u**2 - 2*u) + (u + 3*u - 2*u + (-4*u - u + 3*u)*(-2 + 3 + 1))*(-2 - 18*u - 19*u + 40*u).\nAnswer: -11*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10358 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329597 + 329592. Let o = -0.1 + 0.6. What is the third biggest value in -4, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*-68\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, -3\/4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Let a be 4 + (-350)\/85 - 172\/(-17). Give g(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593560000 rounded to the nearest 1000000?\nAnswer: -594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 8?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r - 16*r - 40 - 2*r**3 + 14*r as t*r + y + a*r**3 + p*r**2 and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.25 - 1.75. Let n = 342 + -3423\/10. Sort x, n, 2\/3 in decreasing order.\nAnswer: 2\/3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1865 and 5.1.\nAnswer: 0.95115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135031 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28 - -2 - -5)\/(-3). Suppose q*k + 123 = -101. Is 4\/(k\/(-5466)) + 9\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*i + 1429*i - 5*q + 30 = 0, 46 = -3*i + 5*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/2819759 and 55\/101919.\nAnswer: 8459277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2. Suppose -k + 3*k - 4 = 0. Let z(l) = 0 - 2 + k - 2*l. What is s(z(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -262*m + 257*m + 10595. List the prime factors of m.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8) - (-19)\/4)\/(153\/(-918)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/834 and -49\/60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**2 + 357484*u - 178740.\nAnswer: -4*(u - 44685)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 1553677?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -10, 8*c + 3*w = 3*c + 5. Let v be 153 - 1\/c*-2. Let m = 36 + -17. What is the highest common factor of v and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*p**5 - 2*c*p**3 - 12*c*p**2 + 3*c + 1900263*p**4 + 39530 wrt p?\nAnswer: 120*c*p**2 - 12*c + 45606312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/9345448 and -143\/838296.\nAnswer: 252327096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 14 + 4*q**2 - 8*q**4 - 16 + q**3 as f*q**4 + y*q + u*q**2 + t*q**3 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 68733, -2 in decreasing order.\nAnswer: 68733, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (209\/38)\/(2\/692). Suppose d - 163 = 2*w + 472, -4*w - o = -3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*i**2*v**3 + 3546*i**2*v + 2*i*v + 90*v**4 wrt v.\nAnswer: 2094*i**2*v + 1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.8249 and 5.\nAnswer: 6.8249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5801*u + 3882*u - 1501*u + 2485*u in the form s + g*u and give g.\nAnswer: 10667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -21\/2*b**2 - 1\/12*b**4 - 4\/3*b**3 - 47*b + 0. What is l(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*i = 30, -2*p - i = -3*i - 26. Solve 0 = d + 2*d - 2*f, -p = -d - 3*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-18) - 24\/(-9). Let o be -1*(-1)\/(-2)*-402. Suppose 5*t - g*j - 263 = 0, -5*t + 5*j + o = -59. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1\/6, 73, -6\/89?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4299748 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 150247*c. Let g(z) = -z. What is g(a(k))?\nAnswer: -150247*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12202222 (base 3) to base 12.\nAnswer: -252b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 6, t: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpcqcrrcpcccctqcpcr. Give prob of picking 1 c, 1 q, and 1 r.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2 + 4*o + 12. Determine n(12).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -298, -334, -384, -448?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12) - (-10)\/(-3). Let w = 37 + -36.55. Let p = 5.55 + w. Sort -5, p, o.\nAnswer: -5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n**2 - 6*n + 6. List the prime factors of k(-5).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1060 divided by 530\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 59*l - 24, 106*q - 107*q - 6 = l for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j + 6*j - 10*j + 14*j. Let w(s) = 8*s**2. Determine w(t(d)).\nAnswer: 6728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154122*l + 1473799 wrt l?\nAnswer: -154122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251748 or -251741?\nAnswer: -251748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 7. Let h be 16\/12 - (-4)\/6. Is h > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -291 - 10?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -440, -656, -872, -1088?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*x**3 - 226 + 226.\nAnswer: 926*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 24*h. Let u be m(24). Suppose -5*a + 1 + 4 = u. Let k be 1\/(-1*(12\/(-10) + a)). Solve -2*s + k = g, -5*g + 2*s - 4 - 19 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let q = 37 - 16. Let u = -14 + q. Let f(z) = -4*z - z + u*z. What is f(o(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1540\/(-33)*210\/25. Let p = y + 423. Let t(x) = 5*x - 3. What is the remainder when p is divided by t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 + 14*j**3 + 9 + 9*j - 13*j**3 - 4*j. Let z be o(6). Solve -4*r - 2 = -0*i + 3*i, -3*i = -z*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 38. Let f(s) = 2*s - 18. Let q be f(12). Let g be z(q). Solve -p**2 - p**3 + 0 - 1\/3*p - 1\/3*p**g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 46*r = -47*r - 74, s = -3*r + 18. Solve 0 = -3*j - o - s, 6 - 16 = 2*j + 4*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 3*f**6\/5 + 4*f**2 - f. Find the first derivative of w(l) wrt l.\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37152798.\nAnswer: 2, 3, 6192133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + l + 3*l + 48 = 0, l - 1 = 0. Let b be 23\/5 + (w\/5 - -2). Let d(y) be the third derivative of -y**5\/60 + y**4\/8 + 5*y**3\/6 - 10*y**2. What is d(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shhh when four letters picked without replacement from hvvhsvhvsv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1205 divided by 241\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*-35*172\/67725.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12456777?\nAnswer: 3, 23, 180533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (-20)\/12. Suppose o - p = -b + 5, -2*b + 16 = 4*o. What is the greatest common factor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geaageyaegaeavvgakea. What is prob of picking 1 g, 1 y, and 1 k?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4689 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 5778?\nAnswer: 40446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 29\/412?\nAnswer: 29\/412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 0.05368 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28611386 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f + 1. Let b(q) = q. Let t(p) = 5*b(p) + z(p). Let m(o) be the first derivative of o**2\/2 - 3. What is 5*m(i) + t(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3313 (base 7) to base 13\nAnswer: -703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12, 3*f - 203 = -3*n + 184. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13389 = -611*r + 558 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 110 + 15. Let j = -50 - v. Let u be j\/27 - (-2)\/9. Let n(r) = 2*r**2 - 3*r. Let k(o) = 5*o**2 - 5*o. What is u*k(a) - 5*n(a)?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 0.1746 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:25 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-26 - -25 - (15 - (-3 - -1))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n + 6*n + 5*n in the form m*n + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18*z**3 + 2 + 11*z**3.\nAnswer: -7*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.46 and 1.94.\nAnswer: -20.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, 0.4, 4449, -1, -0.1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*b = 2 - 150, -41 = -l - b. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 3. Let g(b) = -b**2 - 5*b + 5. Let r be 7\/(-1) - (4 + -6). Let q(x) = r*w(x) - 3*g(x). Let s(l) = 7*l. What is s(q(p))?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.207 minus -196?\nAnswer: 197.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1 (c) -1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -91. Differentiate -4 - 3 + 32*q - g*q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/(5\/90). Is 8 a factor of w\/10*(-10)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*t + 842 = -2370 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -14*7\/602*((-139)\/3892)\/(2\/16)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3526 + 5250. List the prime factors of z.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102937 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 6*n + 9. Suppose 0 = -2*r - 3 - 11. Let q be f(r). Solve 1\/3*o**q - 1\/3*o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1026334 + -2106334. What is i rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.94 + 36.16. Let m = l + 10.85. Let i = m - 30. Which is the smallest value? (a) 0.1 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**3 + 7*q**2\/3 - 4*q\/3 - 3. Factor g(u).\nAnswer: 2*(u + 1)*(9*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, 1, 10, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 36, 61, 120, 225, 388, 621?\n\"Answer: 2*s**3 - s**2 - 8*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxljljlxljjljl. What is prob of picking 2 x and 1 j?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*w**2 - 115*w**2 + 0*w**4 + 0*w**4 + 13*w**6 wrt w.\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -555 - -555.261. What is d rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-2*sqrt(3)) + sqrt(5) + 1.\nAnswer: 1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -1 (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/77 (b) 1\/4 (c) 2\/3 (d) 3 (e) -3 (f) -5 (g) 19\/137\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 13. Let y(m) = -4*m + 6. Let q(k) = 6*s(k) + 14*y(k). Let r be q(-4). Let x = r + -10. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 + 3*f - 14. Suppose -28*c = -31*c + 18. Let k be n(c). What is the smallest value in k, 0.2, 4.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qsoizbi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 23*d + 200. Let z(v) = 13*v + 100. Let l(k) = -4*f(k) + 7*z(k). What is the first derivative of l(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11718856.35 rounded to the nearest 1000?\nAnswer: -11719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5504 + -2.4496. Which is the nearest to 1? (a) 2\/3 (b) -1\/5 (c) -89\/6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.103 + 0.007. Which is the biggest value? (a) o (b) 2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 1, j: 2, w: 4}. What is prob of picking 1 e and 2 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -5 - (25 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6)\/((5 - -8)\/(-26))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*t - 483*t = 4963090. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 - 1. Let c(p) = 4*p**2 + p + 3. Let o(j) = -c(j) - 3*v(j). Let h be o(-1). Factor 0 - 2\/5*r**2 - 4\/5*r**h + 4\/5*r + 2\/5*r**4.\nAnswer: 2*r*(r - 2)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496795 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2011530*a**2 - 2. Let z(r) = r. Determine z(n(o)).\nAnswer: -2011530*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 347 + -0.049\nAnswer: 346.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54681057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 2. Let u be q(-11). Let k = u + -10. What is the common denominator of (k - 4)*15\/10 and -68\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10 and 109\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h. Suppose 6*w + 2 = 7*w. Let p(a) be the third derivative of 0*a + w*a**2 + 0 + 1\/60*a**5 + 0*a**4 + 0*a**3. Determine k(p(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5*x**(-5)*(x*(x*x*(x*x**4*x)\/x*x)\/x)\/x**(-1\/2) assuming x is positive.\nAnswer: x**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 54*k**3 - 3*k)*(k + 0 + 0).\nAnswer: 54*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:37 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 806400?\nAnswer: 1\/67200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/70 - 174328\/(-1960) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t. Let h(u) = 2*u**2 + 540. What is h(m(i))?\nAnswer: 1058*i**2 + 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 8 - (20 - (30 + -16)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 3*w**2 - w - 1. Let y be h(-3). Let f = 5 + -3. Find the second derivative of -6*a**f - y*a - a + 9*a wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/784)\/(2664\/189). Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b + 439. Let i be l(31). Solve -184 = i*v - 189 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. What is the second derivative of i*r**2 - 3*r**2 - 4*r**2 + 2*r + 5*r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/359 - 367\/1436. What is the nearest to p in 0.3, 0.11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.8 - 18.8. What is the closest to 3 in i, -2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 20*x + 46. Let g be d(-20). Suppose 45*s - g*s + 5 = 0. Suppose -1 - s = -l. Solve -5*c - y = -l*y + 50, -25 = 2*c - 3*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3521955 divided by -31?\nAnswer: 3521955\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26029.00045 + 26025. Let y = v + 4. What is y rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 14. Let d be z(-3). Let v(n) = 21*n**2 + 102*n + 2. Let g be v(d). Do 29 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*w - 14290, 4*w - 64*l - 19065 = -59*l. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.829324 - 21.830404. Let m = -21 - v. What is m rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 - 11) - (-30 + -20)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p + 13. Let z = 55 - 55. Let q(t) = 3*t + 2 + z + 3 - 1. Calculate -2*j(m) + 7*q(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q**2 + 8 + 100*q**2 - 22*q**2 - 24*q**2 - 29*q**2. Let b(z) = 4*z - 10*z + 2*z - 2*z + 3*z. Give i(b(m)).\nAnswer: 27*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -8. Let h be (40\/(-15))\/(2\/s). List the prime factors of 2\/h - 17\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 23*h**2 - 15*h + 38. Let z be d(12). Suppose -175*k**3 + 1 - 1 + 4*k**5 + 168*k**3 - 2*k**z - 4*k**4 = 0. Calculate k.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/(-6))\/(2\/6). Let l be ((-1)\/(-2))\/((-2)\/u). Let q(c) = -10*c - 4. Let f(d) = 3*d + 1. Let k(j) = 7*f(j) + 2*q(j). Calculate k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1609 - 1600. Let t(j) = -5*j + 41. Determine t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 1)*(-3)\/9. Let b = -14 - i. Round b to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -5 + (sqrt(1573) - (sqrt(1573) + sqrt(1573) + 4*sqrt(1573) + -4) - ((-6*(sqrt(1573) + -2))**2 + sqrt(1573))).\nAnswer: -56771 + 1518*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28449519, 28449520, 28449521, 28449522, 28449523?\nAnswer: 28449524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340*v + 89208 + 50301 = -36031 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 360 (c) 7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 15*l + 60. Let n be o(18). Let m be ((-14)\/n - -1)*-3. What is the second derivative of 23*f - m - 49*f + 4 + 32*f**2 wrt f?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8411 is divided by 2279.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:22 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4004)\/(-65))\/(-14) - (-1 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 168 + 158 = 5*q + 330, 0 = -q + 3*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12*j - 12 = -10*j, 3*d = 5*j - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 12, 7\/5, -4\/5, -47?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 10*o**2\/9 + 22*o\/9 - 8 = 0?\nAnswer: -4, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + s = 10, -2*o - 96*s + 38 = -75*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-12)*(-3)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijpjjjppjipjipjj. Give prob of sequence ipp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*s**2 + 456*s**2 - 233*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 11 - -18) + (-2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.372641 + -9?\nAnswer: 19.372641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 27*i - 48. Let n be a(-9). Let z = 249 - n. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naansaaaasvaaaawan. Give prob of picking 1 w and 2 a.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x - 72 = 18. Sort 11, -2, x, -4 in ascending order.\nAnswer: -4, x, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12481 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let g be p(-4). Let t = -15 - -16.3. Let i = t + -0.8. Sort g, -0.3, i.\nAnswer: g, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1581\/50 - 812\/25. What is the common denominator of i and -3\/11?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 3. Let j be m(2). Factor -r + 3*r - 3*r + j*r**3 + r**2 - 3*r**4 - r - r**3.\nAnswer: -r*(r - 1)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4 - 4*r - r**2 - r + 3. Let y(p) = -p**2 + p + 1. Let x(k) = a(k) - 4*y(k). What is the units digit of x(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.01. Let v = -0.29 - m. Let o = 0.08 - -0.22. What is the closest to -1 in 2\/3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 191184261, 191184259, 191184257, 191184255?\n\"Answer: -2*j + 191184263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-42*u + 87*u - 10 - 55*u).\nAnswer: -20*u - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -393822 - 189?\nAnswer: -394011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 671094.\nAnswer: 7\/37283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-192)\/(-8))\/(10\/65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000 (base 2) in base 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g\/g**0))\/g))**(-16))**(-16) assuming g is positive.\nAnswer: g**512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 45 - 93090*q - 96.\nAnswer: -93090*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.72 - -0.42. Let v = 4 + b. Round v to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1489 divided by -14.\nAnswer: -1489\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -1\/5 (d) 1 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 45*x**2 + 11*x - 3016. Give q(46).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 5648 - 8446 = 0. Suppose -9*q + 5319 = n. What is q rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 319*j**3 + 3*j - 7*j + 2*j + 2. Is n(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7*j - 5*c - 1037, 2*c + 1022 = 4*j. What is the least common multiple of j and 69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 23344 = -2*g + 17934, -4*g + d = -82577. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4722*n**3 + 88*n**2 - 3*n - 2 wrt n?\nAnswer: -28332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**4\/2 - 31*p**3\/3 - 120*p + 47. Let k(a) be the first derivative of v(a). Find the second derivative of k(c) wrt c.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/2 + 17*a**2 - 93*a\/2 = 0.\nAnswer: 0, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - q - 322 = 101, q + 255 = 3*m. Let i(p) = -2*p + 35. Let h be i(16). Suppose m = -h*s + 7*s. Solve 3*j + 37 = 5*o, 3*j - 3*o = -s - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14201320 (base 8) to base 5.\nAnswer: -1310240414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/6*p**3 + p**2 + 11*p + 0. What is y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -42*l - 41*l + 87*l. Let m(n) = -n + 3*n + n + 0*n. Calculate m(y(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2369904 is divided by 264.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1563771*w + 4303637 wrt w.\nAnswer: -1563771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-7 - -6 - -7) + -4 - -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w - 2*w + 0*w)*(4 - 4 - w) - 74*w**2 - 59*w**2 - 123*w**2)*(-w + w + w).\nAnswer: -254*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**5*(b*b**(1\/7))**(-42) assuming b is positive.\nAnswer: b**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 322720 * -0.1\nAnswer: -32272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -425354 smaller than -423691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 208, 207, 206, 205, 204?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyyququyyyyyyuuu. What is prob of sequence uu?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, 1 c, and 1 m when four letters picked without replacement from gghbygmmyyycygg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71639457 rounded to the nearest ten thousand?\nAnswer: 71640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 155, -2\/15, 1\/12995?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 0 - -42 - (10 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10287744 is divided by 435.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42174 (base 8) in base 9?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004846222 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010969010?\nAnswer: 2, 3, 5, 499, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 7*b - 1. Let k(i) = -3*i**2 - 11*i - 2. Let g(v) = 5*k(v) - 8*s(v). Give g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + i, -c + 457*i - 456*i = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(405) + 4*(-5*sqrt(405) + sqrt(405)))**2 + 5 + 3.\nAnswer: 1080*sqrt(5) + 91149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-603)\/804)\/(10 + ((-1510)\/80 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 0 + (-2 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54.4008 litres?\nAnswer: 54400.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10660650 and 1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 6*y + 9. Let g be l(7). Suppose 0*p - 14 = -2*p + 2*d, -12 = -g*p + d. Calculate the highest common divisor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*a**2 - 108712*a + 5056.\nAnswer: 4*(a - 632)*(43*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 2, m: 2, o: 2, a: 1, g: 1}. Give prob of sequence sm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 18*p**2 + 2*p - 14. Let t be l(9). Let q = 16 + -1. Suppose -3*m - q = -6*m. Solve m*r - t = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*133\/65 + -28?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d*d\/(d\/(d**13\/d)))\/d)\/d))\/(d*d**32)*d*d**16*d**(-47)\/d assuming d is positive.\nAnswer: d**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*n + 24 = 0, 12 = 2*n + 4. Let f be ((-6)\/8)\/((-1)\/k). Let y = 0.17 + -0.47. What is the smallest value in y, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227959, 456284, 684611, 912940, 1141271?\nAnswer: 1369604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*t - 5*v, -t + 3*v = 4*t + 130. Let d = t + 18. Let z(g) = -17 - 7 - 5*g**2 + 3*g - g**3 + 31 + g + g**2. Calculate z(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1826 - -1775?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {d: 1, s: 1, p: 1, x: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q - 5*q - 8*q**3 + 2 - 3*q**2 + 4*q**2 - q**2 in the form p + z*q + j*q**2 + g*q**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -34*q + 543. What are the prime factors of f(-65)?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1746 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284850?\nAnswer: 2, 5, 45697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/66 + ((-904)\/(-1243))\/((-11)\/(121\/(-6)))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 2, q: 6, r: 2, c: 1}. What is prob of picking 3 c and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(3*(2*sqrt(114) - sqrt(114))*2)\/((sqrt(6) - ((sqrt(96)\/sqrt(4))\/sqrt(4) + sqrt(6))) + (sqrt(294) - -2*sqrt(294)))*3)**2.\nAnswer: 1239\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o - 7. Let u(g) = -7*g - 7 - 1 - 6*g + 3*g. Suppose -5*i + 25*m - 35 = 29*m, 4*m = 0. Determine i*y(x) + 6*u(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnpownamp. Give prob of picking 1 m and 2 w.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7*5\/(-40)*40\/5*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70224834 divided by 11704139.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/6 - 4\/8. Suppose -w = -4*b + 3*b. Suppose -4*h = -5*f - 35, -6*h + h = b*f - 10. Which is greater: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 560 - 557. Let q be (-10)\/24 - 4\/(-6). Which is the fourth smallest value? (a) q (b) 5 (c) z (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*h**5 - 22*h**5 - 19*h**5 - 16*h - 67*h**5 - 4 wrt h.\nAnswer: -2800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 + (84 - 11) + 39\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 - ((-7 - -2) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 2 - 9 + 7 to the form t + v*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y = 29*y - 258. Let m = -255 - y. Solve 5*o + 10 = -2*b, b - m = -2*b - 3*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 752, -0.3498, 0.5, -0.02, 1, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3120.8 and -0.173 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -235901.0544 rounded to the nearest ten?\nAnswer: -235900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/16*4. Solve -u = n - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 145\/10)*2. Suppose -q*x = -22*x - 675. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(10\/7)\/b**(-3\/5))\/(b**(-8\/5)*b\/(b**(1\/29)\/b)))**(-15) assuming b is positive.\nAnswer: b**(-5064\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 2, o: 2, k: 1}. What is prob of sequence kxo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z - 101*z = 6 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242760920 a multiple of 4418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.367 - -0.667. Let j = 2.1 - 2. What is the nearest to j in c, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -37, 852.\nAnswer: -38, -37, 852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/(2\/40*5). Let b(h) = 57*h + 16. Let g be b(s). Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84, -293, -516, -753, -1004?\n\"Answer: -7*c**2 - 188*c + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42b79 (base 16) to base 5.\nAnswer: -32221043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i. Let s = 30 + -28. Let h(r) = 2*r + 1 + s*r + 0*r - 6*r + 5*r**2. Calculate -h(b) + 3*w(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2. Let h(r) = -2*r**2 - 3. Let v(x) = 7 + 4*x**2 + 0*x**2 + 1 - 1. Let k(f) = 14*h(f) + 6*v(f). What is u(k(t))?\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 + 2*w**2 + 151*w - 1213. Determine t(7).\nAnswer: 2343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:39 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-27)\/(-5). Let q = 130 + -128. Sort 1, l, q in decreasing order.\nAnswer: q, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndl when three letters picked without replacement from ddnddofndfld?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1 - 8 + 10 + v**2 - v**3. Let s(u) = -5*u**3 + 4*u**2 + 7. Let f(i) = -6*r(i) + s(i). Is f(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 153 = -49. Solve 0 = -l*y + 11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194495 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -1645, -4269, -8067, -13027, -19137, -26385?\nAnswer: -34759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61592 plus 5?\nAnswer: 61597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 3926275.\nAnswer: 3926279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(171) - (-4*sqrt(171) + -1 + sqrt(171))) + 0 + (sqrt(171) - (sqrt(171) - -1*sqrt(171))))*-6)**2.\nAnswer: 2592*sqrt(19) + 221760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10*z + 912 = 0. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**2 + 124*r - 55. Determine h(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let o(i) be the second derivative of -5*i**3\/6 - 571*i**2\/2 + 2*i - 6652. What is l(o(h))?\nAnswer: -10*h - 1142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.105 + 13.105. Sort -3\/7, p, -0.097, -5\/3 in increasing order.\nAnswer: -5\/3, -3\/7, -0.097, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6*11\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 7*r = -14*r + 8*r. Solve r = -6*m + 87 - 99 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -197 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221222201 + 112112?\nAnswer: -221110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189 - -0.069?\nAnswer: 3189.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.009999222 + -0.00997. Round v to seven dps.\nAnswer: 0.0000292","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1574 - -802. Calculate the highest common divisor of q and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274514*i**5 + 38*i + 10010.\nAnswer: -5490280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287112.\nAnswer: 2, 3, 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-70716)\/(-355)*5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-10))\/((-14)\/(-35)). Let y be 4\/(-1 + k\/3). Calculate the greatest common divisor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waga when four letters picked without replacement from {r: 1, i: 1, w: 2, a: 2, v: 4, g: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 3*u**2\/2 - 19*u - 23. Let y be w(7). Let a(k) = -y - 3 + 2 - 2*k + 4. Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 5. Let d(o) be the first derivative of -o**4\/12 - 28*o + 80. Let w(g) be the first derivative of d(g). What is w(r(j))?\nAnswer: -4*j**2 - 20*j - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(1\/(-6)). Let j(a) = a**2 - a - 4. Let x be j(m). Let y be 6*((-1)\/x)\/(-1). Solve t + 2*t = -y*q, 4*q + 16 = 4*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115.119 * -1.928\nAnswer: -221.949432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 2, c: 6, t: 3, h: 2}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/4*-1)\/((-15)\/(-3090)).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 + 3451\/3828. Let q(z) be the second derivative of 1\/11*z**5 + 2*z + 1\/11*z**2 + 0 + j*z**3 + 1\/231*z**7 + 1\/33*z**6 + 5\/33*z**4. Factor q(r).\nAnswer: 2*(r + 1)**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1154\/5984 - 112\/616. Is 0 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 55.04. Let m = u + -1.04. Which is the biggest value? (a) 3 (b) -1\/8 (c) -1\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/9 + 68972*y**2\/3 = 0.\nAnswer: 0, 103458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1091 + -1091.2. Which is the nearest to -2? (a) p (b) 14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-4\/9)\/(d*d\/d**(-2\/17)*d*d**(-10)) assuming d is positive.\nAnswer: d**(917\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9105457631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31103?\nAnswer: 19, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/7*20\/(-44). Let f = c + -24\/11. Let y = -2 - -1. Are y and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a**3 + 0 + 0*a + 1\/24*a**4 + 39*a**2. Let f(j) = -10*j. Calculate i(f(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let v be p - (-3 + -3 + 1). Is v greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1425*a**2 - 8573*a + 126. Give p(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6)\/((-3)\/8). Put -8, -4, o in descending order.\nAnswer: o, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = -4*m - 517, 0 = m + 1. Let k = 240 - v. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*(5712\/9)\/(-7)*1041\/694?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(162)\/sqrt(3))\/sqrt(9))\/(2*2*sqrt(192)).\nAnswer: -5*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8168533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 499. Let w(x) = x - 509. Determine 3*b(u) - 4*w(u).\nAnswer: 2*u + 539","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 125. Let c be h(0). Suppose 5*l + 2*s - c = -0*s, 3*l - 5*s = 44. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -11*z**2\/2 + 1. Let b(i) = 668*i - 1262*i + 588*i. Determine b(a(g)).\nAnswer: 66*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4. Let w be 140\/15 - a\/3. Suppose -3*k = -w*k + 545. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5634*f + 99. Let y(v) = -278*v + 5. Determine 4*h(t) - 81*y(t).\nAnswer: -18*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5406?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 3, y: 4}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u + 1. Let g(n) = -2*n**2 - 3*n - 1. Let d be g(-2). Let f be y(d). Solve -5*r - 5*l - 15 = -0*l, 2*r + f*l = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 921*k - 4530.\nAnswer: -3*(k - 302)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 2*f. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -88887?\nAnswer: -35554.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 - (-90)\/8)*1044. Calculate the highest common factor of u and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 1, d: 3, h: 1, c: 2}. Give prob of picking 2 j and 2 c.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*j + 150*j + 161*j - 46 + 2498*j**4 + 2*j**2 - 478*j wrt j.\nAnswer: 29976*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005724291 rounded to 5 decimal places?\nAnswer: 0.00572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = -610. What is the remainder when 418 is divided by s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1 - 2*j**2 + 16*j - 23 + 3*j**2 - 9. Let k be g(-23). Let q = 221 - k. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*r + 11 = 0, -5*q = -r + 25 - 48 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/48 - ((-10400)\/(-384) - 27).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 3}. What is prob of picking 3 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 25473244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9366 + -9366. Let u(i) be the first derivative of -14 - 11\/2*i**2 + o*i + 17\/3*i**3. What is the second derivative of u(c) wrt c?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29 - (0\/(-1))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1. Let n(x) = -7*x - 11. Let d be n(-5). Let w be (18\/d)\/(6\/2). What is the third biggest value in w, 4, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 628 + 110. Suppose -u*n + 745*n = 17486. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/225)\/((-1)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 13}. Give prob of picking 1 b and 1 w.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 23*q + 0*q + 4 + 21*q. Give l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*h = -176*h - 5*d - 5, -5*d = -4*h + 5. Find r, given that 0*r**3 + h*r - 1\/5 + 2\/5*r**2 - 1\/5*r**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - 94. What is the remainder when 41 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 10*m = -0*m - 4*s - 21, 0 = -2*m - 15*s - 62 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -11\/2*d**2 + 0 + 1\/12*d**4 + 7\/3*d**3 - 3*d. What are the prime factors of o(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 223*v**2 + 1418*v + 10076. Determine i(-229).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2814, -2457, -2100, -1743?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + -6 - -59 - -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/12)\/(-8*(-10)\/(-952)) and 89\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -178051, -178030, -178009, -177988, -177967?\n\"Answer: 21*t - 178072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105.2 - -129.1. Put -2, 4, u in descending order.\nAnswer: u, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l = 125*l - 30*l + 14382 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6480 - 6480.28. Which is the nearest to 12? (a) 0 (b) -3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - x - 29 = 0, o - x = 7. Let b be (-2)\/(-10) + (-286)\/5. Let j be b\/(-5) + (-8)\/20. What is the greatest common divisor of o and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.21909166 and 3.26.\nAnswer: 4.47909166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 4451000*z + 990570050000.\nAnswer: 5*(z - 445100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 363, 1 in descending order.\nAnswer: 363, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-12))\/((-4)\/(-18)). Suppose -v*a + 2 = 17. Calculate the lowest common multiple of 3\/a - 8\/(-5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3 + 1504*d**2 + 137*d - 13191321 with respect to d.\nAnswer: -3*d**2 + 3008*d + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*v = 4323 + 2276 + 11995 + 7614 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20408771 > -20408773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.882 times -0.017?\nAnswer: -0.048994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154302\/25 - 6172. What is the second smallest value in -0.1, -18, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4237 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 57*i - 816. Determine j(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(130) - (sqrt(130) + sqrt(130)*-2)*-3)\/(-1*(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 0. Let a = -0.02 + x. Sort a, 0, -0.3 in increasing order.\nAnswer: -0.3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67052, -67584, -68116, -68648, -69180, -69712?\nAnswer: -70244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 627 + -626. Is -1\/198 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 21. Let d = 11 + h. Suppose -7*u + 98 = -2*u + 4*m, d*m + 53 = 2*u. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22204 - 23440.1. What is i rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 179 = -8*l - 4*p, 15 = -8*p + 3*p for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.4 (c) 182 (d) -8 (e) -5 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 131, 200, 281, 380, 503, 656, 845?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4633 + 0?\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 222, 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323952 and 323952?\nAnswer: 323952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*11\/(55\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + x = 28282, 4*x + 27481 - 126471 = -7*k. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-268)\/4958 + (-79)\/(-777))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235 + 277. Calculate the remainder when 71 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, k: 2, p: 1, z: 1, r: 1}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - y = -9*j + 82566, 0 = 24*j + 3*y - 660429. What are the prime factors of j?\nAnswer: 3, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -307, -2, -0.5, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 94 = t + 2*a, -5*a + 102 = 2*t + 158 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -100111201200202?\nAnswer: -100111201200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240678 is divided by 1612?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 206*i - 3179. What is the ten thousands digit of r(100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 118 = 46. Let k be (-7)\/c - 40\/(-60). Solve -2*v + l - k = 0, 5*l = v - 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.881*-3.\nAnswer: -2.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.095, 5\/84, -0.4?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 2*c - 13*c + 32*c - 2*c**2 - 73 + 30*c. Determine t(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/13 (c) -1\/7 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2*(5 + -3). Suppose 0*l - y*a = -3*l + 36, -4*l + 48 = -2*a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5431\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7*s - 135 - 235 = -s - 5*d, 20*d = -3*s - 199 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/4 + 2*n**3\/3 + n**2\/2 + 2*n - 1. Suppose -2*d + 3*x = 11, -2*x = 2*d + 2*x - 24. What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1\/2 (b) 0 (c) 6 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.00097 + 25. What is b rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8414 and 699190779?\nAnswer: 4207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 1.8003429.\nAnswer: -68.4130302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -442? (a) -1 (b) -6\/13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2*q**2 - 86*q + 10\/39*q**3 + 7\/156*q**4 + 0 + 1\/390*q**5. Factor h(c).\nAnswer: 2*(c + 2)*(c + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 424864236 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233323 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 762 by 762.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 15. Let l be (11\/3)\/(1\/3). Calculate the lowest common multiple of 4 and c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506960719.\nAnswer: 506960719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 5*v**4\/2 + 86*v**3\/3 + 52*v**2 - 56*v + 129. Solve x(z) = 0.\nAnswer: -7, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a + 1. Let q be x(-3). Suppose -5*k - q = -18. Let r be (-6 + 2 + 6)*(5 + -7). Put r, k, 1 in decreasing order.\nAnswer: 1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27579 and -0.42.\nAnswer: 11583.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3\/(-210)*((-20)\/(-22))\/((-5715)\/(-4191))?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 1207436924?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 7. Let n(f) = -2*f + 8. Determine 3*g(a) + 2*n(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5481 and 15802101.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - 97\/(9506\/(-6468))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 11*g**2 + 3*g + 15. Let m be k(11). Suppose d - 5*d + m = 0. Suppose 4*v - d = v. Solve -4*b = v + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 times -3\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5396?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23741.6366*-0.5.\nAnswer: -11870.8183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(-24) assuming n is positive.\nAnswer: n**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 3425307285060?\nAnswer: 3425307285059.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4 - 15) + -10 + -27?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61488 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 4816 = 30*i. Round i to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*v + w, 3*v - 8*w - 4*w = -10*w - 57 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a + 1. Let h(f) = 2*f**2 + 6*f + 224. Give -h(g) + 3*v(g).\nAnswer: g**2 - 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -371*w + 5105. Is h(-112) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52203 is divided by 13043?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 292462382 a multiple of 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = -4*m, -3*j - 3 = 4*m + 2*j. Let u be ((-2)\/3)\/(m\/(-30)). What are the prime factors of 0 - (0 + u\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o + 27*o**3 + 35*o + 25*o**3.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1340002?\nAnswer: -1335554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - 2*a**5 + 2*a**5 + (3 - 2 - 4)*(3*a**5 + 2*a**5 - 6*a**5) + 0*a**5 + 3*a**5 - a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:59 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = 3*c, 4*c - 6*c - 7 = -3*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, 1183, 4777, 11791, 23365, 40639?\nAnswer: 64753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d - 12*d - 16*d - 1 + 37*d. Let w be p(-4). Let 0*x - 2*x**4 + x - w*x**3 + 31*x**2 - 31*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2956 - 2024. What are the prime factors of p?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -7. Which is bigger: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*t - 12, -w + 4 - 20 = 4*t. Sort -1\/8, 2\/9, w in descending order.\nAnswer: 2\/9, w, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**2 - q + q + (0 + 2 - 1)*(629*q + 116*q**2 - 629*q) to the form r + c*q**2 + z*q and give c.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus 866?\nAnswer: -866.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 17 = -x + 6*x, 22 = 2*r - 4*x. Calculate the remainder when 17 is divided by (-1 - -6) + (4 - r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/606 and 99\/14.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.05 - 92.15. What is the nearest to -5\/4 in 1, j, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 6, -173 = -4*c + 3*a. Let g = 4 - -7. Calculate the remainder when c is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - w**3 + 3*w + 4*w - 16*w**3 - 2*w**4 - 5*w to c*w + a*w**3 + l + z*w**2 + m*w**4 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {l: 4, q: 1, t: 2, k: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021233021 (base 4) in base 5?\nAnswer: -121023134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26745510 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 409076*s**2 - 408813*s**2 in the form k + m*s + h*s**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b**2 + 4*b + 11. Calculate the remainder when l(7) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1686283*k**2 + 6*k + 131031784?\nAnswer: 3372566*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z - 9 = -3*q, 0 = -5*q - z + 27. Let i(h) = -h - 2. Let r be i(-5). Suppose 0 = 2*m - r*m + 2. What is the remainder when q is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.371, 1\/6, 2, 1 in decreasing order.\nAnswer: 2, 1, 1\/6, -2.371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -4. Suppose -4*g + y = -16. Suppose 4 = -f - 5*q - g, -3*f = 2*q - 3. Solve -4 + 13 = f*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - r - 2. Let m be z(2). Let x = -1182 - -1353. Suppose 3*u - 3*k - x = 0, -2*u - k + 117 = -m*k. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(396)))**2.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2651107 to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**2 - 17*y**2 + 4 - y**3 - 4*y**2. Let z be t(-5). Suppose -3*r - 8 = z*i, 0*i + 6 = -2*r - 3*i. Solve -u + r*u = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 80*p - 5 = -4*w, w - 4*p - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 11*g. Suppose g = -2*i + 1 + 7. Solve -5*l = -3*j + 24, i*j - 15 = l - 0*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-20)*((-80)\/175)\/(-4))\/(30\/21).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*x**2 - 19*x**2 + 22*x**2 - 2*x**2 - x**2 + 4*x**2 + (-3 + 2 + 0)*(1 + 2*x**2 - 1).\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 77 + 29 = 4*w, 5 = 5*w. Let r = 60 - b. Suppose 0 = a - 3*a + r. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-85)\/238*(-4)\/3.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 20 - (-1 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.828365 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - -1.4. Let t = x + -2. Let i = 59\/3 - 109\/6. Sort t, 1\/4, i in descending order.\nAnswer: i, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37899 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 37*m + 3528 = 21*m. Solve -63*x = -m*x - 105 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*i**5 - 4*i**5 + i**5 + 5*i**5 + (-3*i - i + 6*i)*(-2*i**4 + 3*i**4 + i**4) + (2*i**4 - 4*i**4 + 4*i**4)*(-4*i + 5*i + i).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose -u - 821 + 879 = 5*j, 0 = 3*j - u - 30. What is the remainder when j is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/7344 and 19\/1572.\nAnswer: 962064","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930*w + 3867*w - 1922*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2773.97 plus -25?\nAnswer: -2798.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 66. Let l be u(-9). Let g = l + 105. Put g, -5, 2, -1 in increasing order.\nAnswer: g, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4324 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40*(8\/(-4))\/(2\/(-12)). Let q be g\/48*(-4)\/(-10). Solve 2*o = -q*a + 16, -2 = 5*o - 2*a + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 22. Let j be p(-24). Let f be 5 - 6 - (-1 + j). Let r = 10120\/21 - 482. Which is the closest to -0.07? (a) r (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15116*y**3 + 3*y**2 + 19*y - 56. Let s be q(3). Suppose 1432640 = 3*r - s. Round r to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*o + 3, o = 5*x - 1 - 0. Let w be x + 2 + -9404 + 2. Round w to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.38383725 - -821.61578575. Let m = t - 822. What is m rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:20 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/8*((-70)\/(-15) + -4). Suppose 4*v = -g + 2*v + 2, -3*g + 5*v + 6 = 0. Solve 8*c**2 + 8*c - 7*c**2 + o*c**g = 0 for c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31316038.2593 + 31313138. Let i = b + 2900. What is i rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (235\/(-50) - -5) + 542\/(-1540). Which is smaller: -0.07 or c?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*q + 458 = 0, 4*u - 3*q = -325 - 36. Let o = -95 - u. Which is the closest to 0.1? (a) 1 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 6*z**2 - 5*z - 2. Let g(d) = -d**2 + d. Suppose -51*m - 42 = -44*m. Give m*g(i) - p(i).\nAnswer: i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.392 - -2.608. Suppose 2*t - x = 0, 2*t = 2*x - 7*x + 24. What is the smallest value in -1\/3, h, t, 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 5*z**4\/12 - 5*z**3\/6 + 5*z**2\/2 + 45*z. Let u(w) = -w**2 + w - 1. What is m(c) + 6*u(c)?\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 559, 143, -257, -641, -1009, -1361?\n\"Answer: 8*i**2 - 440*i + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 28*u**2 - 35*u - 14. Determine l(-27).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) 3.77 (d) 325\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyvv when four letters picked without replacement from {y: 2, v: 4, l: 2, d: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*v + 15, 5*r - 2*v = -v + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*g - 88*g - 10806 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -2*s, 4*x - 3 = -4*s + 13. Let h = -32 + 55. Suppose -96 = 6*j - 138. Solve -h = -x*m - j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445\/8 greater than 2432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-5)*(3920\/42)\/56.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3429)\/(-21) - (-3 + 69\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-141*h + 44*h - 74*h)*(33*h + 671 - 671) in the form l + n*h + c*h**2 and give c.\nAnswer: -5643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -177924, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2313 in -4\/9, 6, 0.05, -1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s**2 - 3*s + 5. Let m(w) = -8*w**2 - w + 2. Let b(f) = 5*m(f) - 2*p(f). Find the second derivative of b(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782*b + 14715 = -147*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 335400, 335412, 335436, 335478, 335544, 335640, 335772?\n\"Answer: i**3 + 5*i + 335394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven halves of a kilometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6950, 14505, 27096, 44723?\n\"Answer: 2518*c**2 + c + 4431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-2\/19)*n))\/n**(-1\/7))\/(n*n**1)**(7\/9) assuming n is positive.\nAnswer: n**(-368\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2424 and 395240472.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjjajagchc. Give prob of picking 2 a and 1 j.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*q + 31, 22 = -6*q - 2. Solve 5*p + 46*c - 5 = 50*c, 2*p + 21 = -f*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*p + 124*p + y - 271437 = 0, 0 = -p - 4*y + 271461. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -35*b - 120. Calculate the remainder when 1434 is divided by t(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from jzsjzjzsszsszzsszz.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -15) + -4 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:39 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 2*a - 2*a - 23*a**2 + 25*a**2 - 3*a to k*a**3 + n*a**2 + t*a + v and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -94 - 238. Suppose 4*v + 5*b - m = 0, -2*v + b + 40 = 5*b. Let w = -13 + v. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*j + 2 + 2*j + j - j + (2 - 5 + 1)*(-2 + 2 - j) - 3*j + j + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -51. Suppose -5*g = m + u*m - 1191, 3*m - 4*g = 1164. What is the highest common divisor of m and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4135247 rounded to three decimal places?\nAnswer: 0.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 23) + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - (1 + 1 + 12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -31. Let r = 75 - 67. Calculate the remainder when b is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19902\/5 - -59711\/15. Which is the biggest value? (a) -6\/5 (b) 4 (c) -3 (d) g (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985956 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/9 + (-2)\/6. Suppose h + 70 = 6*h - u*z, -38 = -3*h + 2*z. Solve -h*q - 34 = 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 686 or 2\/3?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4551*t - 218457. What is r(-48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*i - 22 - 2, 0 = -3*v + 5*i + 31. Let q be 52\/(-39)*(-3)\/v. Solve -b - 3*d = -11, 0 = q*b - 2*d - 3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*r = 0, 19324*q - 19326*q - 5*r + 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 46. What is the closest to 2\/7 in n, -4, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900478169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 3*p**2 + 5*p - 6. What is the tens digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -130*k**7\/7 + 8*k**3\/3 - 9*k + 147. Find the third derivative of t(q) wrt q.\nAnswer: -15600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10491)\/3766*(4 - -10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 1793?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -65. Suppose -19*m - 48 = -n*m. What is the third derivative of -m*x**3 + 2 - 2 - 13*x**2 wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -57*5\/90)\/((-9)\/(-216)). Let n(m) = m**3 - 21*m**2 + 28*m - 151. Calculate n(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*m**3 + 82*m - 82*m + (1 - 1 - 2*m)*(2*m**2 - 3 + 3) - m**3 - m**3 + 0*m**3 + 2*m**3 - m**3 + 0*m**3 as r*m + x*m**2 + g + y*m**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(425) - (-3 + 3 + sqrt(425))) + sqrt(425) + 4 + -3 + -3*(sqrt(425) + 4) + 2)**2.\nAnswer: 240*sqrt(17) + 1844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 2*6\/(-4). Let y(d) = d**3 + 9*d**2 - 11*d - 7. Let t be y(-10). Suppose 5*f - 7 = s - t*s, s - 9 = p*f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*y = -308*y - 1924 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*6\/(0 - 3). Suppose -u*x = -w - 12, -2*w = w + 5*x - 32. Suppose -3*c - 2*p = p - 132, -w*p + 32 = c. What is the remainder when c is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002012221 (base 3) in base 5?\nAnswer: 1140201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. Find the second derivative of 9*p**4 + p - 3*p**r + 3*p - 9*p**4 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 238314*a - 76 - 238317*a - 273 as i*a + m and give m.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - ((-102)\/(-30) + -4)*5. Let w be 24\/(-42)*-2*z. Solve 30 = w*p - 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/19 + -262\/57. What is the common denominator of 37\/2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*f - 10, -6 - 9 = -3*f + 3*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 45*w + 2. Let y(f) = -2*f**2. Determine i(y(t)).\nAnswer: -90*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)\/sqrt(10)*-4*1)**2 + (sqrt(68) + sqrt(68) + -1 + sqrt(17) - (sqrt(17) + sqrt(153) + 3))**2 + 5.\nAnswer: -8*sqrt(17) + 2486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**5 - v**5 + 2*v**5)*((-1 - 2 + 0)*(3 - 4 + 0) + 2 + 3 - 3).\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*k + 3392 = 2*p, -p = -3*k - 860. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = 2*p - 24, 0 = 2*p + k - 15. Suppose p - 6 = a. Calculate the remainder when 33 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1586439023.99999943 - -1586439035. Let s = -11 + g. What is s rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j - 97\/2*j**2 + 57 - 37\/3*j**3. Find the second derivative of p(s) wrt s.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 24 = 6*h. Let z(b) = b**3 - 2*b**2 - 4*b + 4. Let u be z(4). Suppose 5*j - u = -5. Calculate the remainder when h is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 83*p**2 + 368*p + 1730. What is o(-87)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2+0.592\nAnswer: -1.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 10*y + 8. Let u be x(-9). Let s = 5 - u. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 + l**2 + 2*l + 4. What is g(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-8))\/m)**(3\/10) assuming m is positive.\nAnswer: m**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from lwwllvwvlwuulwlwlwvp?\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9332718336 plus -778?\nAnswer: 9332717558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 2*p + 17, -5*t - 3*p + 106 = 0. Let l = t + -6. Suppose -15 - 6 = -3*f - 3*s, 5*f - 55 = 5*s. Calculate the remainder when l is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 1253 - 1732 + 2117 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immhhgmxgmddgg. Give prob of sequence dhhi.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/7 - (352 + -354). Put -1, 1\/6, v, -0.2 in ascending order.\nAnswer: -1, v, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 5 - (-5 + -7 - -4). Let t = 71 - -28. Calculate the highest common divisor of c and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 6. Let b(f) = 4*f + 3. Let o(p) = -13*b(p) - 6*d(p). Let q be o(-2). Solve 0 = 4*a + y, -3*a + 0*a = 5*y + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 46 + 24 = -2*h, 5*h = 9*x + 49 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4135002 (base 7) to base 12\nAnswer: -1bb283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 7. Let p = 0 + -19. Let r be m(p). What is the greatest common divisor of 48 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 28*s + 129. What is the remainder when l(-4) is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/11)*o*o**0*o*o*(o*o**2)**2)**46 assuming o is positive.\nAnswer: o**(5152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2981*q**4\/4 + 461*q**2 + 3587. Find the second derivative of u(c) wrt c.\nAnswer: -17886*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -12, 4, -4 in increasing order.\nAnswer: -12, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 39779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1 + 52*s**2 - 54*s**2 + 1. Let n(o) be the third derivative of -7*o**4\/24 + 41*o**2. Calculate h(n(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*d + 1447 + 1421 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571.872 rounded to zero dps?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 + -73. Solve 0 = k*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13546, 54447, 122612, 218035, 340710, 490631?\n\"Answer: -s**3 + 13638*s**2 - 6*s - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*80\/340)\/((-28)\/259).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:07 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*x - 2. Is 3 a factor of (x\/(-5))\/(-4 + 177\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*d = -n + 267, 4*n = 2*d + 530. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.074 (c) -9\/5 (d) 2\/7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*v - 41 = 0, -3*u - 7*v + 2*v = 4. Calculate the remainder when 0\/2 + 273\/u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m + 316*m + 387*m.\nAnswer: 652*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8\/7, -0.5, -303, 10, -3\/5 in decreasing order.\nAnswer: 10, 6, -0.5, -3\/5, -8\/7, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64947, -65043, -65203, -65427?\nAnswer: -65715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**7\/1680 - b**6\/360 + b**5\/240 + b**4\/24 + 67*b**3\/6 + 7*b. Let l(u) be the second derivative of w(u). Factor l(s).\nAnswer: -(s - 1)*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 79. Suppose 763 = 7*h - j*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 - 354*i + 8*i**2 + 354*i wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -36*v. Let z(l) = -71*l. Let r(m) = -10*c(m) + 5*z(m). Let a(f) = 46*f**2. Calculate r(a(x)).\nAnswer: 230*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18981218 is divided by 746.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let f(s) = s**d + 7 - s + 9*s + s**2. Is f(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:17 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -89. Let o = -33 - q. Solve o = -b - h - 2, -b - 4 - 8 = -4*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2065.946784636156 + -2270.92205900797. Let y = x - 0.024727458186. Let c = 205 + y. Round c to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 10*l + 5. Let p be u(0). Which is the second smallest value? (a) p (b) -0.1 (c) 2 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6)*-33)\/2. Solve -4*g - 5 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 30, 25, 20, 15, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/12 + 11*d**3\/6 - 4*d**2 - 5*d. Let s be j(-9). Let n = -86 + 82. What is the biggest value in n, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 30\/(-15)*1\/2. Let c(u) = 13*u**3 - u**2 + 2*u - 2. Let g(d) = -d**3 - 1. Let o(x) = i*c(x) + 4*g(x). What is the units digit of o(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = -4*i + 7, 3*h - i = 17. Suppose -h*q = 4*n - 28, n + 5*q = 23 - 1. Suppose 2*u = u + 4*v + 69, 235 = 3*u + n*v. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/10 - 2*b**3\/15 + 14*b**2\/5 + 48*b\/5 - 120. Let w(v) = 0. Calculate v.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99134 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 11*d + 4*k = -1472, 0 = -4*d + 5*k - 1508. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18795 is divided by 357.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2 - 4*w - 3*w - 2*w. Suppose 3 = -4*y - 5. List the prime factors of j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/3*k**3 - 1\/2*k**2 + 2*k + 0. Calculate the remainder when 81 is divided by y(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 24, 252572?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 3. Let s(x) = -8*x**3 + 14*x**2 + 6*x - 4. Let g be s(2). Suppose 90*j - 77*j - 156 = g. What is the smallest common multiple of j and p(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (5 + -25) - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*h + 13 = -4*a, 5*h = -4*a - 11. Let u = 2 - 0. Suppose 3*f + 2 = -4*n - 6, 4 = 3*f - u*n. Is a at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 24 = -6. Suppose 37*c - 35*c - 10 = 0. Put -1, f, c in increasing order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*c - 297*c + 155*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvqvvqqvvqvqvvv. What is prob of picking 2 v?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62.8 - 62.8. What is the fourth biggest value in y, 0.2, 3\/19, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/7140*8*(-100)\/(-40)*2\/2?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66750016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2010?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-2 - 0). Suppose -l + 2*l - 10 = -z, -3*z + 15 = -2*l. Does 9 divide z - -5 - p\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 3*t - 6. Suppose -3*g = -2 + 17. Calculate l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 481 - 477. Let t be 0 - -1 - (-2 + -235). Suppose -v + 5*v - m = t, 4*m = c*v - 232. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1552404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 12*d + 19 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 1412 = -290*q - 3292 + 693 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, x: 2, u: 3, p: 5, b: 7}. Give prob of sequence bb.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - y - y**2 - 5 + 3 + 0*y**2 + y**4 as s*y**4 + t*y**2 + x*y + z + g*y**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*m - 9. Let r = m - 5. Solve -5 = r*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1079 + -1076. Suppose -2*w**c - 4\/3 + 2*w + 2\/3*w**4 + 2\/3*w**2 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 306 in 47, 0, 0.7?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 26*l + 59*b - 58*b - 141, -l + 54 = -l + 9*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwfwsrrffww. What is prob of sequence wrs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 13 + l**2 + 13.\nAnswer: -l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1354, 4, 1, -4, 0, 6 in decreasing order.\nAnswer: 1354, 6, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 23*t + 55. List the prime factors of o(-17).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-22))\/((-20)\/(-8) + -3) + -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 9. Let x(d) = d - 19. Let f(u) = -9*j(u) - 4*x(u). Is 4 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*g - 6 - 15 = 0, 0 = -5*g - 20. Suppose -8*j + 57 = -5*j. Suppose 11 = -2*h + j. Solve h*o - q = 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 14*q + 2. Let h(t) = 401*t + 2. Let p(j) = 668*j + 3. Let z(n) = -5*h(n) + 3*p(n). Calculate v(d) + 2*z(d).\nAnswer: -d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*f**3 + (42 - 42 - 4*f)*(-3*f**2 - 2*f**2 + 4*f**2).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 79*c - 3*f = -443, 2*c = 3*f + 461. What is the remainder when c is divided by 80?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 - 6*b + 3. Let w(n) = -n - 1. Let u(f) = -r(f) + 5*w(f). Let c be u(0). Let o = c - -15. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -141. Solve 0 = l*u + 8 - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(sqrt(72)\/sqrt(3)*3 - sqrt(24))\/((-4*sqrt(64))\/sqrt(8)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2315 - -1673. What are the prime factors of d?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 23\/4)*32\/(-12). Let a(l) = -l**3 - 16*l**2 + 19*l + 35. What is the tens digit of a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -53. Let h = -18 + q. Suppose h*u - 53 = -2*z + 59, z = -4. Calculate the least common multiple of u and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 1030504 = -48*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 1109 = -5*p - 1206, 0 = -p - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*i + 12*i**3 - 1203*i - 1584*i.\nAnswer: 12*i**3 - 2637*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146696, 146685, 146674, 146663, 146652?\nAnswer: 146641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0.5 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -1361?\nAnswer: -1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w**2 - 12*w - 12. Determine k(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23668 is divided by 572.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20920 = -49*f + 46*f, 2*f - j - 13955 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m. Let o = 15 + -11. Suppose o*t - 3*y = -7, 4 = 3*t - y + 3. Let s(w) = -2*w**2 + 4*w**t - w**2. What is s(z(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from {x: 3, z: 4, a: 10, r: 1}?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 60129*m + 420902. Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 2)*(5*v - 6*v + 2*v)*(-1 + 5 + 3) - v + 3*v + 7*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 23*t - 95. Calculate z(-21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7532309 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7*17\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17163541543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*m - 433, -3*m - 341 = -3*o - 2*m. What is the remainder when o is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932464.1l in millilitres?\nAnswer: 932464100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 941\/4. Let h = 0.1 + 0.9. Let p = h + -2. Put p, t, 0.04 in descending order.\nAnswer: t, 0.04, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2242.99 - -2255. What is x rounded to 1 decimal place?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 18 + 36. Let t be 8 + (x - (-2)\/2). Solve 0 = -3*f - q + 10 + 2, t*f + 3*q - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 45*y = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - ((-2)\/(-4))\/((-5)\/820). Let d be (-2 - l)*(-4 + 18\/4). Let a = 86 + d. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g + 9. Give z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1523 + -951. Let w = g - 581.304. Let t = 0.104 + w. What is t rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 4*b**2 + 0*b**2)*(-11*b + 4*b + 5*b - 5*b**2) + 1054*b**3 - 1054*b**3 + 19*b**4 to z*b + p*b**4 + c + s*b**3 + o*b**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 510053 minus -0.00313?\nAnswer: 510053.00313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -15*d + 745. Let p(i) = 2*i - 1. What is -o(x) - 6*p(x)?\nAnswer: 3*x - 739","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -17*a - 6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 414271.3ns?\nAnswer: 414.2713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(2)*3)\/(-1*sqrt(3)*-2).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 14?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + l + 3. Let n(b) = b**2 - 6*b - 24. Let y be n(9). What is h(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1 + 4 + -6. Let q = l + 0. Let b = -23 - -20. Put q, b, -4 in descending order.\nAnswer: q, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-3 + 8))\/(-1). Put -142, -27, q in decreasing order.\nAnswer: q, -27, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*(o\/(o\/((o\/o**1)\/o)))\/o*o))\/o)**(2\/43)*(o**(6\/5))**(-5\/2) assuming o is positive.\nAnswer: o**(-127\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 43. Let j = 5 + 0. Suppose 0 = -j*y - 3*l + g, 5*y - l - 24 = 3*l. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w)*(52 + 34 + 7 + 27).\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 l when four letters picked without replacement from {p: 5, m: 4, r: 4, k: 1, l: 5}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19671619 + 19671428.00174. Let k = -191 - t. Round k to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2710, -2713, -2718, -2725, -2734?\n\"Answer: -c**2 - 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let o(j) = -4*j - j + 0*j. Give k(o(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/(5 - 7\/2). Suppose -5*o + 37 + 7 = c, 4*c - l = o. What is the greatest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15 - (198 - 192).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose -2*i - 2*c + 8 + 6 = 0, 0 = 4*i + c - 19. Suppose 0*t - n*a + 20 = i*t, -10 = 5*a. Solve 2*f = -1 + t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184 and 3248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15544?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-460)\/(-38) + 66\/(-627). Let u(o) = -o**3 + 5*o**2 + 2. Suppose 3*l = -2*l + 25. Let x be u(l). Calculate the greatest common divisor of x and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -14. Let j be (-267)\/30*242\/m. Let i = 796\/5 - j. What is the common denominator of 149\/6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -0.06. Let x = -0.343 - -0.043. Which is the second smallest value? (a) -0.5 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -19. Let w be (2 - l) + (5 - 5). Suppose -i - 2*c + 183 = 0, 0 = w*i + i - c - 959. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (43 - 60 - (-29 - -6))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2*3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3536 and 2101931.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -23. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k*n**5 - 2*k*n**3 - 3*k*n**2 - k + 11*n**3 - 20*n**2 wrt n.\nAnswer: -180*k*n**2 - 12*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 - 3*a - 1. Let p(h) be the second derivative of 1\/6*h**3 + 0 - h - 13\/2*h**2. Let b be p(9). What is c(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5249641 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 337. Let n(i) = 3*i + 338. Calculate -5*d(w) + 6*n(w).\nAnswer: -2*w + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44110 and 12.\nAnswer: 264660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 49*j**2 + 54*j + 5. Let h be k(-1). Let y = 0 + 5. Solve 0 = h*t - y*c - 14, -2*t + 17 = -4*c + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*z**4 - 3*z**2 - 26*z.\nAnswer: 3288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-6) - 6\/(-36). What is the units digit of (-33)\/(-4) - y\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 426, 333, 176, -51, -354, -739, -1212?\n\"Answer: -w**3 - 26*w**2 - 8*w + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/10 + 20*6\/150\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3768?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) -1\/7 (c) 12 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 120*x**2 - 136. Let q(v) = 24*v**2 - 27. Suppose 8 = -16*a + 12*a. Let r(g) = a*j(g) + 11*q(g). Differentiate r(c) with respect to c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -3 + sqrt(17) + (sqrt(17) - sqrt(85)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 393 = 1483. Let k = d + -50182\/107. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700)*-4)**2 - 1*(2 + sqrt(7) + 1)) + 1.\nAnswer: -67202 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 127, 302, 551?\n\"Answer: 37*a**2 - 10*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:30 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96809768 or 290429308\/3?\nAnswer: 290429308\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w - 1. Let q(r) = -2*r**2 - 6*r + 12. Let d(i) = -3*l(i) - q(i). What is the remainder when d(4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -m*k = -6*k + 3*d + 3531, 0 = -3*d - 3. Suppose 7*r - k = -r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1685158 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-30) + 34\/(-3). Suppose -5*j = 13 - 278. Let l = j - v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 110, -21633 in descending order.\nAnswer: 110, 23, -21633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -16 - (-2 + 7 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**29)**22\/(j\/j**(-1\/7))**45 assuming j is positive.\nAnswer: j**(4106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(75))*-6 + sqrt(33)\/sqrt(11)*-6 + 0.\nAnswer: -36*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(114)*-1 + sqrt(114)) - sqrt(114) - sqrt(114) - (sqrt(114)*1*3 + sqrt(114)))\/(-2*sqrt(486) + (sqrt(60) - -2*sqrt(60))\/sqrt(10)) + 0)**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854387356 is divided by 94931928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26581.\nAnswer: 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67839 and 3?\nAnswer: -203517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 36057\nAnswer: 1\/36057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*2 + -2.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10505 + -1?\nAnswer: -10506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3641, -3644, -3647, -3650?\n\"Answer: -3*z - 3638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (12 + 10 + -56)) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/105)\/(10*(-9)\/(-600))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (930*y - 1818*y - 1540*y - 454*y)*(2*y**4 - y**4 - 2*y**4).\nAnswer: 2882*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzu. Give prob of sequence uz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/5 + 23\/30. Let g be (28\/(-42))\/(4\/6). Is r at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2 - 171*w + 699. Calculate the smallest common multiple of k(4) and 24.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p + 488. Let f be (3\/((-9)\/34))\/((-4)\/36). Let u = f + p. What is u rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxi when four letters picked without replacement from xxixixeiexxiexix.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8866 and 6149.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = k, -4*k + 0*k - 16 = -4*n. Let a = -7 + 10. Let v be ((-120)\/(-2))\/a - 3. Solve n*j + 2*h + v = -18, -2*h = 2*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o - 10. Let r be b(5). Suppose z = -3*i + 20, r = -0*z + z - 4*i + 15. Solve 5*d + 3*t - 16 = 9, d - z*t + 23 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 70 = 185. Is q smaller than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -8*t**3\/5 + 154*t**2 - 18624*t\/5 + 4608\/5 = 0.\nAnswer: 1\/4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:23 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16757*s + 17355 - 8674 - 8681.\nAnswer: -16757*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11515 - -11516. Let v(r) = -1. Let g(p) = p + 5. Give l*v(y) + g(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Suppose 4*h + 4 = -2*x - 2, x = 2*h - 7. Let j be ((-1)\/2)\/((-1)\/(-6)). Sort j, h, t.\nAnswer: j, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwwmymmppydydpwm. What is prob of sequence muy?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10438*d*v**2 - 15*d wrt v.\nAnswer: -20876*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 4. Suppose -v*q + 6*q = -60. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.5806 millilitres in litres?\nAnswer: 0.3655806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**3 - 2*n**2 + 3*n - 2. Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0 - (3 + -27)) + 20?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**2 + y**2 - y**2)*(7*y - y - 3*y) - 2*y**3 - 2 + 2 in the form w + d*y + i*y**3 + l*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304744752, -609489505, -914234258, -1218979011?\nAnswer: -1523723764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 minutes after 1:46 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -234 - -11330?\nAnswer: 11085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -833 - -1067. Suppose 0 = o + 2*k - 3 + 8, -k = 5. Suppose -o*v + p = -0*q - 4*q, 38 = v - 3*q. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 301\/(-21) - (-2)\/6. Let d(n) = n + 9. Let j be d(r). Let x(a) = -a**3 - 4*a**2 + 3*a + 9. What is the remainder when 75 is divided by x(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74890.01ug to kilograms.\nAnswer: 0.00007489001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 8*p + 5. Let g be o(8). Suppose -2*z + 5*k = 10 - 30, -5*k - 35 = -5*z. Suppose q + q + 234 = g*f, -z*q = 3*f - 128. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 times -0.058?\nAnswer: 15.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14066 - -1148.5817\nAnswer: -12917.4183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1518*h**3 - 231*h**2 + 231*h. Let k(s) = -s**3 + 40*s**2 + 33*s + 97. Let b be k(41). Let w(c) = 33*c**3 + 5*c**2 - 5*c. Give b*w(j) - 5*n(j).\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 4. Let i be s(-3). Suppose i*h = -h + 15. Solve -h*d - 3 = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/4 + 3*x**2\/2 + 13*x. Factor a(u).\nAnswer: -3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**3 + 8*d**2 - 2*d*h + 732*h with respect to d.\nAnswer: -9*d**2 + 16*d - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1198*j + 2542*j - 154*j - 1204*j + 1 - 1.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316\/5 + 63. Let k = 0.5515 - 0.1515. Let x = -1.3 + 0.3. What is the third biggest value in m, -1\/2, k, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1261 = 2*y - 3*x, 3*y - 799 - 1125 = -2*x. List the prime factors of y.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 869.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 81658371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 - y**3\/15 - 2*y**2 + 4*y\/5 + 31. Factor w(m).\nAnswer: (m - 2)*(m + 2)*(5*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9 + 7 - 101*c + 102*c. What is the smallest common multiple of w(-10) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, 0.5, -48, 40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, 0, 3, 9, -259\/12 in descending order.\nAnswer: 9, 3, 0, -0.4, -6, -259\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - k + k + (2 + 3 - 4)*(-4*k - k + 2*k))*(4*k + k - 6*k + (35*k + 17377 - 17377)*(-4 + 1 + 1)) in the form u + t*k**2 + h*k and give t.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 445a1 + -54?\nAnswer: 4454b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-473)\/(-2) - 1\/((-4)\/(-6)). Let u be m\/(-700) - (-6)\/21. Let h = 0 + -1. Are h and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5\/89, -21, 0.1, 2\/7, -2, -10.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 21230\/5 - 11?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 75 = -3*q, 4*q + 68 = 5*g - 7. Suppose 5*u + 350 = g*u. Suppose -3*h = -49 - u. What is the least common multiple of 12 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -31 - (0\/(-1) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 6*z - 12)*(-z + 0*z + 2*z) - 3*z + 3*z - z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*l + 2 - 4)*(39*l**3 - 39*l**3 - 12*l**4).\nAnswer: 24*l**5 - 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/((-8)\/(-12)*1*15\/(-5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33\/2, -0.3, -1, -2\/11?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6414 or 7076?\nAnswer: 6414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 121*i = 846 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o - 15. Let r be p(-12). Let y(m) = 15 + 25 - r - 14*m. What is the tens digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 7*o**2 - 611*o + 5543. Let c be h(9). Solve 7*y - c = -192 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 1. Let x be p(-3). Let b(i) = 4*i + 8. Let t be b(-6). Let y be (-1)\/(-4) - (-4)\/t. Solve y*g = 2*g + x*l, -2*l = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5249 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - r + 4*r. Let s(o) = -o - o + o + 0. Calculate v(s(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240113033?\nAnswer: 1277, 188029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:13 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-29)*g*g*g\/(g\/g**30))**(1\/11) assuming g is positive.\nAnswer: g**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by (((-7)\/(-28))\/(16\/(-64)))\/(1\/(-50))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + p - 2. Let s(q) = 23*q**2 + 3*q - 6. What is 8*h(y) - 3*s(y)?\nAnswer: -5*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = 3*t - h, 4*h = -3*t + 12. What is the tens digit of -3 - (-227 - t\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -88*h. Let z(v) = 2*v**2 - 1. Let a(g) = -3*g**2 + 3*g**2 + 4 - 6 + 3*g**2. Let o(k) = -2*a(k) + 4*z(k). Calculate o(b(q)).\nAnswer: 15488*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 - 3 = 0. Suppose 3*g - c = -0*c + 705, o*g = 4*c + 480. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (10 - (20 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let n(a) be the second derivative of -a**5\/30 + 2*a**3\/3 + 5*a. Let j(q) be the second derivative of n(q). Determine k(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) -10.8 (c) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4 + 164\/120. Which is the second smallest value? (a) 2 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (68\/(-6))\/((-2)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let a(u) be the second derivative of -1\/3*u**3 + 2*u + 0*u**2 + 0. Calculate o(a(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at least as big as 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4176867 and 839?\nAnswer: 3504391413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 883*t + 94826. Determine m(257).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 22, 0.38, -4, -14, 0, 0.5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2029740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/10*-1). Let u be o\/15*1\/(2\/6). Determine k, given that 0*k**3 - 4\/7*k**u + 4\/7*k**4 + 0 + 2\/7*k**5 - 2\/7*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1820434 and 5\/21.\nAnswer: 5461302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49111870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 2583720*v - 77516100.\nAnswer: 5*(v - 516774)*(v + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 70 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = g + 2, -4*g + 25 = 3*r. Suppose 2*v + 2*o - 64 = g*v, 0 = o - 5. Let i be ((-2)\/6)\/((-3)\/v). Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879782851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*t + 70*t + 69*t - 273*t - 48 + 64*t.\nAnswer: 8*t - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40033370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 11*j**2 + 13*j - 7. Let p be g(10). Suppose -47 = -2*v + 3*w, 4*v - 61 - p = 4*w. What is the least common multiple of v and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859895193 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x - 1. Let a(i) = 2*i**3 + i**2 - 2*i + 3. Calculate 2*a(r) + 5*c(r).\nAnswer: -r**3 + 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - a - 5 = 5, -5*t + a + 30 = 0. Let m(i) be the second derivative of i**3\/2 + i**2\/2 - i. What is the smallest common multiple of 20 and m(t)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 10*n**2 + 2*n**3 + 0*n**2.\nAnswer: n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 685\/(-4110) - 107\/6. Let w(o) = o**3 + 16*o**2 - 36*o - 4. Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79, 18, -41, -98, -153, -206?\n\"Answer: h**2 - 64*h + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 2. Let m be l(-5). Suppose m*d - 7*d = -x - 32, 0 = 5*d - 3*x - 40. Let t(r) = -r**2 + 2. Let s(c) = -2*c**2 + 6. Calculate d*t(g) - 3*s(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14347, -57474, -129361, -230008, -359415, -517582?\n\"Answer: -14380*x**2 + 13*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -759.9855 + -0.0145. Let m = -751.94 - s. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9 + 50. Let k = b - 20. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 4 = 0. Suppose 2*q - f = 8. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*l - 11*l - 23*l)*(5 + 4 - 1 + 6 - 2 - 2 + (-1 + 0 + 2)*(-1 - 2 - 1))*(2 + 1 - 1) to n + d*l and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*i + 17 = -0*i, 34 = 2*m - 3*i. Let j = m + -15. Calculate the smallest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195100 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1759455, 3518901, 5278331, 7037739, 8797119, 10556465, 12315771, 14075031?\n\"Answer: -d**3 - 2*d**2 + 1759459*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2408, -2409, -2410, -2411?\n\"Answer: -z - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n - i = 20*n + 159, 23*i = 5*n + 19*i + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 187534*c**2 - 2*c - 187663*c**2 - 2*c**3 in the form l*c**3 + z*c + r*c**2 + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*j + 29, 41*b - 2 = 42*b + 6*j - 11*j for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005855 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(21\/(-58)) + 10\/(-2). Suppose -d + 27 = 4*q - q, -z = -5*q + d. Let c(b) = -b + 13. Calculate the lowest common multiple of c(9) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = l + 3*l, -d - l = -3. Let h(g) = -g**3 + 2*g**2 + 3*g - 2. Let a be h(d). Let r(i) = -i**2 + 6*i - 4. Determine r(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/5 - o**4\/5 + 23*o**3\/5 - 39*o**2\/5 + 18*o\/5 = 0.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10570 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 818*d**2 - 542*d + 28. What are the prime factors of r(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623302312?\nAnswer: 2, 77912789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*d**2 + 23*d**2 - 93*d**3 - 80*d**2 + 89*d**3 to the form x*d + q*d**3 + n*d**2 + i and give n.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 696 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*a = a - 6, -4*c = -a + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1492992*0.5.\nAnswer: 746496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 3*v - 1. Let p(h) = h**3 - 7*h**2 + 7*h + 7. Let j be p(6). Suppose 0*t + t - 5*i = 19, 2*t = 5*i + j. Is z(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7144999?\nAnswer: 7144999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 23 - 2*c**3 + 0*c - 2*c**4 - 27 to x + f*c + b*c**2 + v*c**4 + y*c**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5165.053 minutes in microseconds?\nAnswer: 309903180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 60 = 12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -81 - (-1 - -14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-30))\/(2\/10). Solve 3*y + 1 = -u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287312.01 months in years?\nAnswer: 23942.6675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*q**2 + 45*q**2 + 67*q**2 + 2*q as h*q**2 + i*q + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-15))\/((-1)\/5235). Let v = p - -2687. What are the prime factors of v?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.22 + -0.22. Suppose 0 = 4*w - 8*w - 16. Which is the second biggest value? (a) w (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -709\/7. Sort -4\/3, 2\/13, 1\/8, t.\nAnswer: -4\/3, 1\/8, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 12*d + 143. Suppose -10 = 3*j - 4*j. Calculate the smallest common multiple of j and p(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3*r**2 + (-3*r**2 + r**2 - 2*r**2)*(-2 + 0 - 5) + (1 - 4 + 2)*(-4*r**2 - 3*r**2 + 5*r**2) to the form y*r + x + q*r**2 and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3110 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0610269 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 713. Let f = t + -474. Calculate the remainder when f is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1873325 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 3, v: 1, w: 3, p: 1}. What is prob of picking 2 w, 1 p, and 1 d?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*(-11)\/((-55)\/(-6)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.92 - -0.90581.\nAnswer: -0.01419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 182 in 2, -0.07, 30\/287?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68757 + 68757. Let z = 61843\/19 + -3254. Let i = z - 1. Sort c, i, 0.3 in descending order.\nAnswer: 0.3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-2))\/((-21)\/28). Let d be (-2)\/1 - (c + -1). Let k be (16\/6)\/((-5)\/30*4). Sort k, 1, d in decreasing order.\nAnswer: d, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7500 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 228 = -458 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**3 - 11*n. Let t(g) = -4*g**3 + 4*g. Let p(s) = -s**2 - 10*s - 9. Let y be p(-9). Let r be -14 + y + (7 - 10). Calculate r*t(f) - 6*j(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**2 + 97536*z + 303565?\nAnswer: 4*z + 97536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 14. Suppose 0 = 4*d - 5*q - 53, 2*d + c = -2*q + 4. What is the highest common factor of 56 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/(72\/(-720)). Solve -3*t = g + 10, 2*t = -g - g - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:48 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 + 2. Let f = 0.1 - l. Let t be 2 + 1\/(-1) + 1. Which is the closest to -1\/3? (a) t (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 2*o + 3. Give x(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p + 2. Suppose -4*u = 2*o + 22, 5*u - u - 4*o = -4. Let k be f(u). Let y(j) = -2*j**3 - j**k + j**3 + 6 + 0*j**3 + j. Determine y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065*i = -2663 + 11183 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15199\/4 + 3800. What is the third smallest value in z, 1, 0.2, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*p - 6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-18 + (23 - (13 + 0)) - -51).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 v when four letters picked without replacement from {w: 1, y: 1, v: 1, p: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - 10*t - 17. Let x be (4\/(-10))\/(1\/20). Let h be r(x). Let s be (-3)\/2*16\/36. What is the nearest to h in -3\/5, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 8. Let u(x) = -11 - x + t. Let c(r) = 8*r**2. What is c(u(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 201780 divided by 20\nAnswer: 10089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5109.5 + -5954. What is j rounded to the nearest ten?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b - b)*((3 - 5 + 3)*(-2 + 2 - 1) - 4 - 3 - 4)*(-19*b + 21*b + 8*b).\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 - -83. Let r be (-1044)\/q + (-1)\/5. Solve -6*i + i - 2*y + r = 0, -4*i + y = -8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3153 - -3186. Let t be (2 + -79)*(-12)\/7. What is the greatest common divisor of a and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -13 (c) 2\/2055 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jee when three letters picked without replacement from {e: 9, j: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 3. Let g(q) = -q**3 - 5*q**2 - q. Let x = -23 - -18. Let c be g(x). List the prime factors of y(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(130)\/(sqrt(40)\/sqrt(4)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 5.6. Let k = 2.8 + l. Which is the biggest value? (a) -1\/3 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5893 - -0.3893. What is the closest to -2\/239 in 1\/2, 1\/6, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 103, 102, 77, 28, -45, -142?\n\"Answer: -12*g**2 + 59*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -83835.\nAnswer: -76\/83835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from ngngng.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 5. Let d be x(-9). Suppose -d*r = -27*r. Solve -l - l - 4 = r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3661*r**2 - 16*r. Let y(q) = -4*q. Give y(o(z)).\nAnswer: 14644*z**2 + 64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 1\/2, -27, -0.103, 0.2, -1.59?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.5. Suppose -3*l - 2*q + 2 = 0, 0*q + 12 = 2*l + 4*q. Which is the nearest to 0? (a) l (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 3*m - 14. What are the prime factors of z(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 50 = 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -427 + 479. Let m be 2*(-3)\/18 + v\/84. Find x, given that 2\/7*x**5 + 0*x - 4\/7*x**4 + 0 + m*x**3 + 0*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + o**4 + 0*o + 3*o**4 - 2*o**4 + o**4 + (-1 + 1 - 2*o)*(-3*o**2 + 3*o**2 - 2*o**3) - 4*o**2 - o**4 + 4*o**2 - 11 - 7*o**4 + 11.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 + 5*a + 3. Let l be u(-3). Suppose -3*o = -0*o - l. Let -5*k**4 + 2*k**3 + 0*k**4 - o*k**5 + 0*k**5 + 2*k**2 + 3*k**4 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/320)\/(1*(-4)\/4 - -3)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30834877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-100387)\/(-84) + 2*7\/(-168)?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18381, -37622, -56867, -76116, -95369, -114626?\nAnswer: -133887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 10*n**2 - n - 7. Let v be a(-10). Let f be 3*(-3)\/(-9)*v. Solve 4*m - f*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128948 or -128956?\nAnswer: -128948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 562\/10 - ((-126)\/(-30) + -4). Let s = 50 - 104. Let v = s + q. Solve -5 = v*c - 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20.023981748 and 0.3?\nAnswer: 19.723981748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1342 * -0.4.\nAnswer: 536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 - 7715438*k - 23146312\/3 = 0. What is k?\nAnswer: -11573156, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 15, -1, -4, 0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10052590 rounded to the nearest one hundred thousand?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20432275 to the power of 1\/2, to the nearest integer?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 + 1.71. Which is the closest to -1\/4? (a) w (b) -0.2 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 11*r**2 - 9*r + 12. Let t be i(-12). Let y be 13\/3 + 32\/t. Factor -2*o**y + 3*o**3 + 2*o - 4*o**3 + o**3 - 2*o**4 + 2*o**2.\nAnswer: -2*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j. Let d(n) = -24*n**2. What is d(x(p))?\nAnswer: -4704*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(20) + (1 + sqrt(720))**2)*2.\nAnswer: 52*sqrt(5) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22*a**2 + 9*a + 46. Let w(t) = 44*t**2 - 21*t - 107. Let r(u) = -7*k(u) - 3*w(u). Give r(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 v when three letters picked without replacement from {n: 1, v: 1, x: 2, z: 2, l: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7818*u**2 + 79*u - 561. Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + k**5 - 2*k**5 - 7*k**5 - 4*k**5 + 9*k**5 + (3 - 1 + 0)*(3*k**5 + 1 - 1) + 4*k**3 - 4*k**3 - k**5 + 0*k**2 - 2*k**2 + 6*k**2 - 2*k**5.\nAnswer: -k**5 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16886, -67444, -151714, -269702, -421414, -606856, -826034, -1078954?\n\"Answer: -x**3 - 16850*x**2 - x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72629046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 412565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 4, -1867*u = -1865*u - 5*l + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.5 + 1.5. Let h = -8.93 + q. What is the third biggest value in -0.1, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2882393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11595159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 - 37*b - 163)*(-4 + 3 - 2)*(2*b**2 - 3*b**2 + 3*b**2).\nAnswer: 222*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28896.934 rounded to the nearest 100?\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1*1)\/(14\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8*24\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 22. Let p(q) = q**2 + 8*q + 13. Let y be p(-7). Suppose y*i + 2*i = 144. Give b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/(-3)) - 45\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 - 111?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + 2*s - 1. Let r = 57 - 49. What is the remainder when g(-2) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s**3 - 17. Let l(g) = 7*g**3 - 6. Let z(m) = 34 + 39 + 28 - 29 + 49*m + 9. Let k be z(-2). Determine k*l(r) + 6*n(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2905 in descending order.\nAnswer: 3, 1, -2905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waatwtatwbwww. What is prob of picking 1 t, 1 w, and 1 b?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**3 - 365*a**2 + 1140*a - 180.\nAnswer: 5*(a - 6)**2*(6*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 12*t + 1. Does 4 divide g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1888, 1886, 1882, 1876?\n\"Answer: -a**2 + a + 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*o = 24, 5*i - o + 3*o - 24 = 0. Solve -i = -0*g + 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198517 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/230)\/((-4)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25330 + -10358. Are m and 14973 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose 5*w - u*f = -15, -5*f + 25 = -w + 4*w. Suppose -3*b = c - w*c - 13, -4*c + 4 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfxx when four letters picked without replacement from {x: 5, f: 1, n: 1, j: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*a**3*b**3*r**3 + 39*a**3*b**3 + 17*a**3*b*r**3 - 163*a**3*r**2 wrt r?\nAnswer: 282*a**3*b**3 + 102*a**3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*s - 552 = 177*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzjjziiozzjozjzii. What is prob of sequence oz?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40471 - 11823 = 631*g - 13683 - 43485 for g.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 + 4. Let w(c) be the third derivative of -c**5\/60 + c**3\/6 + 3*c**2 + 8*c. Suppose b - 5*b - 16 = 0. What is b*w(q) + u(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - n - 3. Let r be v(5). Let j = r + -15. Suppose -g + 66 = j*g. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192481 + 0.1.\nAnswer: 192481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22566208 is divided by 626839.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 3750*g + 15016.\nAnswer: -(g - 4)*(g + 3754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2963 - 1200. Let m = 3327 - y. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.02 * 16052\nAnswer: 32425.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 97.7168934 nanoseconds?\nAnswer: 0.0000000000001615689375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(4\/10). Suppose -q*g + 3 = -1. Let u be 19\/(-38) - 1\/((-2)\/1). Solve g*t + 5 - 1 = u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 72. Let t = 25 - s. Let k = -57 - -56.9. Sort 2\/9, k, t in decreasing order.\nAnswer: t, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 - 13*h**2 - 43*h - 219. Determine m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1.8, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/(-6)*2\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 181 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.014 + -0.286. Which is the fourth smallest value? (a) u (b) 10 (c) 1\/7 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586 by -7567.\nAnswer: -586\/7567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**2 + 104*q**3 + 29*q - 200*q**3 + 94*q**3 as a*q**2 + y*q + p + h*q**3 and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 32*y - 32. Let i be v(-17). Solve 4*b + t - 5 = 0, 4*b + 2*t + 0 - i = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 19*f**3 + 95*f**2 - 2168*f wrt f.\nAnswer: 40*f**3 + 114*f + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256257*n + 768768*n + 4*n**2 - 256255*n - 2*n**2 - 256256*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5100326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - 4. Suppose -t*u + 0*u = -388. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 897?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 8*c + 5*c - 12*c in the form j + q*c and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/2 - (5 - 5). Let s = k + 4. Is 3 + -3 + s\/(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/1)\/1)\/((-403)\/(-806)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 4*c**2 + 2*c + 1. Let k(r) = -r**2 + r. Give k(x) - u(x).\nAnswer: 2*x**3 + 3*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 47*a - 51. Let o be c(-45). What is the greatest common divisor of o and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3168*f**2 + 605*f**2 + 1077*f**2 as w*f + u*f**2 + i and give u.\nAnswer: -1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5892.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 389 + -134 + -334 + (0 - 13)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/((-6)\/(-1839)). Let i = 123 - o. Let x = 25739 + -25738. What is the nearest to -2 in x, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 0*h - 3*h)*(70*h + 28*h - 37*h + (2 - 4 + 1)*(-3*h + 3*h + 2*h) + 2 - 2 - 2*h - 4*h + 2*h + h).\nAnswer: 112*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2464, -10424, -23904, -42910, -67448, -97524, -133144?\nAnswer: -174314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -74. Let i be -4*5\/10 - t. Let 0*g + i - 3\/2*g**2 - 3\/2*g**3 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 80 = 8*l - 9*l. Let o(s) = -s - 2. Let w(q) = 2*q + 5. Calculate l*o(v) + 3*w(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrnrrsrsrrrrrbrrrr. Give prob of sequence rr.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p**4 - 130*p**3 + 125*p**2 - 20*p = 0.\nAnswer: 0, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 1628?\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211\/3 - -71. Let q = 4 + -7. Which is the closest to -0.2? (a) q (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 - 6 = 2*h, 2*h - 2*j = 2. Let n be (2 + -1)*(-2)\/(-5). Which is the biggest value? (a) n (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*r + 2*l + l - 4603 = -520*r, 4*r + 55*l - 4 = 51*l - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4488*v + 11. What is p(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -7, -65, 5 in decreasing order.\nAnswer: 14, 5, -7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, -16, -5, -197, 10 in decreasing order.\nAnswer: 10, -5, -16, -159, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 15*x + 55. Let i be a(-5). Suppose 0 = n + 4*d - 426, -n - i*d = -436 + 13. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.3. Let h = 0.6 - b. Let o = h + -0.3. What is the nearest to o in 5, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 8*d - 6. Let x be i(-3). Suppose -5*h - v + 9 = 0, 5*h - 5*v - 3 - 12 = 0. Solve 4*o - 4*g = -x*o - 16, -h*o - g = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*0.09\nAnswer: -0.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4769 and 3765?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(4 + -3 + 1). Suppose 3*o = -d*y + 10, 4*y = 6 + 2. Solve 0 = o*v - 5*i + 14, 3*v - i = -2*i + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74566815 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 - 15*h + 328 - 10*h + 330 - 5*h + 29*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7952 + 7982. Calculate the lowest common multiple of 222 and b.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 2*(-222)\/(-12) - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*t**2 - 8*t + 10*t - 641*t**5 - 185*t**5 wrt t.\nAnswer: -49560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56408, -112794, -169174, -225548, -281916, -338278, -394634?\nAnswer: -450984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose 3*n - 11 = 1. Solve n*t + g*t - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 27?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817534 is divided by 937.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/23 and -63.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301372 = 2*v - 22*v + 123368. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011010010001 (base 2) to base 16\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 7*s + 32. Let z = -22 + 32. Let o be q(z). Solve 0 + 4 = o*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*z + 56*z. Suppose z = -p - 5*a - 12, -4 = 7*a - 5*a. Sort -3, p, 1\/11 in increasing order.\nAnswer: -3, p, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 7 (c) 196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j + 44 = 0. Suppose j - 16 = 4*f. Let y(q) = 2*q**2. Let d be y(f). What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -18 - 3\/(-3). Suppose -120 = -11*k + 23*k. Is k at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 14*f**2 - 17*f + 19. Let b be u(15). Let t = 13 + b. Solve 5*h + t*v + v = -29, 2*h + 4*v + 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97413, 97407, 97401, 97395, 97389?\nAnswer: 97383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80743484*s**3*u + 733003*s**2*u - 47*s*u wrt s.\nAnswer: 484460904*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 15 - 5 - 7 to the form z*q**2 + k*q + m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w - 3*w)*(-w**2 + w**2 + w**2)*(-4*w + w + 2*w).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 765631 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54314, 54329, 54370, 54449, 54578?\nAnswer: 54769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.107, 39\/4 in decreasing order.\nAnswer: 39\/4, 0.107, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11283*k**2*l**2 - 33*k**2*l - 99*k**2 + 88*k*l**2 + 4*k - 4 wrt l.\nAnswer: -22566*k**2 + 176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2 - 145*f - 305. Calculate w(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhjh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 9849647.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 48171, -638, -1 in ascending order.\nAnswer: -638, -1, 0, 48171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12232\/56712)\/((-22)\/(-48))\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.03, -0.02, 31\/5, -1, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0549 + -323.0549. Let n = 290 + a. Put 0.3, n, 1 in descending order.\nAnswer: 1, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26456, 26458, 26460, 26462?\nAnswer: 26464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/67)*o*o**25 assuming o is positive.\nAnswer: o**(1740\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -6. Suppose 0 = -3*p - p - f. Let m be p + (-20)\/(-4) - -10. Solve -4*r = -8*r + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 2)*(1 + 9 + 0)*(-v**2 - v**2 - v**2) + (-2*v + 2*v - 2*v)*(-2*v + 0*v + 5*v) in the form y + l*v + m*v**2 and give m.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/4 - (-1 - 18). Let a = -13 + j. Factor -3 - 8 + a*b - 3*b**2 + b**2 + 3.\nAnswer: -2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 3*f + 11498, -2*z + 4*f + 22998 = 0. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352600494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2987.3 - -2986.3. Which is smaller: 376.7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-49)*11\/((-66)\/(-21)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y**2 + 21*y + 115. Calculate the remainder when w(-6) is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309090 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1780, 6137, 13474, 23791, 37088, 53365, 72622?\n\"Answer: 1490*g**2 - 113*g + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/450 and -69\/250.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-9) + 4 + 4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 310.839 - 311. Let d = a + 0.161513. Round d to 5 dps.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 - 2\/(-1). Suppose -26 = -5*r - 11. Find the third derivative of 2*i**s + 4*i**3 - 2*i**2 - 4*i**r wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1200729.727 + -1201412. Let f = k + 682. What is f rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -947 - -972.65. Let v = -25 + m. Round v to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zzzezdvzevzd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 5*q**2 - 2*q**2 + (3*q + 3*q - 5*q)*(3*q - 6*q - 8*q) + 0*q**2 - 3*q**2 + 5*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -6. Let w = 4\/1155 - -2\/231. Let u = w - -491\/330. Which is the nearest to -2? (a) 4\/9 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 1150.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -2321 (c) 3 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 73177*y**2\/2.\nAnswer: -y**2*(y + 73177)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.779328 plus -646?\nAnswer: -645.220672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - (-5 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -40 + -6 - 75.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/4, -2, 22 in ascending order.\nAnswer: -2, -0.3, 1\/4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 42 = -28. Solve -3*g - 15 = 0, -4*k - k = 5*g + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 169, 692, 1565, 2788, 4361, 6284?\n\"Answer: 175*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 432402?\nAnswer: -432405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -17 + 5 - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 0, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440302005 by 7579.\nAnswer: 58095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -38116*b**2. Let a(s) = s. Calculate v(a(l)).\nAnswer: -38116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17157655 is divided by 296.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/147 or -1?\nAnswer: -8\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc11 - -28?\nAnswer: bc39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66947194*p**3 + 10392220*p**2.\nAnswer: 401683164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/896 and 8*(-202)\/1232 + 2\/1.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3 (c) 41.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 + 438. Calculate the remainder when 42 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**5\/60 + l**3\/3 - 132*l**2. Let i be (-7 - (-1 - 2)) + 1. What is s(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 + -4.18221619621.\nAnswer: -5.34221619621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20854*n**2 + 20879*n**2 - 8*n**3 + 7*n - 7*n + 20887*n**2 - 62620*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 + a + 32. Let b(q) = q**2 - q + 1. Let x(f) = b(f) + o(f). Find the first derivative of x(t) wrt t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262689106 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - h - 2 = -3, -7 = -4*h + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.14007 centuries to years.\nAnswer: 314.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s - 39. Let t be (8\/3)\/(116\/(-87)). Determine m(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*3*(-152)\/114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150810537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25201873 to the nearest integer?\nAnswer: 5020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*(r**(11\/4)*r*r*r)\/r*r*r)*r*r**14*r assuming r is positive.\nAnswer: r**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3\/3 + 55*g**2\/3 + 40*g - 60 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 1, f: 2, r: 1}. Give prob of sequence rf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 - 236*q**4 - 4776*q**3 - 35416*q**2 - 41876*q + 82308 = 0.\nAnswer: -19, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 18*f = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8693278 plus -2202904?\nAnswer: -10896182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*q + 2, 0 = -q - 4*v + 1 - 2. Find the common denominator of 101\/16 and q + (-1)\/(6\/(-125)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**3 - x**2 - x - 1. Calculate t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from liff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 2. Let g(y) be the third derivative of -y**4\/3 + y**3 + 21*y**2. Let p(w) = -8*w + 6. Let d(k) = 4*g(k) - 3*p(k). Calculate 4*d(f) - 11*h(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -0*c - 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32333 and 0.488?\nAnswer: -15778.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745325435 by -5.\nAnswer: 149065087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7*(840\/21396)\/10. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.2 (b) -3\/2 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:58 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 4:40 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -97*k + 75. Let g = 341 - 349. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 0*x + 28*x**3 - x + 3 + x**2 - 1. Is l(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.131 (b) -2\/15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436 divided by 4.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 + 5. Let x be h(2). Suppose -3*p + 4*s - 16 = -3, -x*p = 5*s + 10. Let v(b) = 19*b**2. Let j(c) = 9*c**2. Give p*v(g) + 7*j(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -209*16.3\nAnswer: -3406.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -284*b - 4477. What is p(-22)?\nAnswer: 1771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -g - 38, 2*g - s + 58 = -0*s. Is 12\/g + (-920)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*i - 847*i + 2699 = 5*v, 2*v - 52 = -4*i - 44 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1370673229647?\nAnswer: 1370673229642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.2 + 702.\nAnswer: 663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211322025 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlccvfqqlqqffqc. What is prob of picking 1 f and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 18. Let m(k) = -1. Let q(l) = -h(l) + m(l). Let x be q(10). Let u be (9\/6)\/x*2. Solve 0 = 4*g + u*v - 7, -4*g + v = -v + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 3, h: 5, i: 1}. Give prob of picking 2 t, 1 d, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 a factor of 224970019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -472149, 1\/12, -5, -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m + 9. Let p be m\/(-7) - 45\/(-105). Suppose -6*b + 5*b + 5*b = p. Solve -a + 5*a = b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 - 9?\nAnswer: -8.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0781731l?\nAnswer: 78.1731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442600 or -442603?\nAnswer: -442603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/7*(9 + 5 - (-32340)\/(-495))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -24.476?\nAnswer: 27.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(20 - (-2526)\/(-126))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a33 - 864b7?\nAnswer: -85684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 37 - 3 = -5*v, 0 = -3*v + 2*y + 22. Suppose -v*b = b. Factor 1\/2*k**2 + 0*k + b - 1\/2*k**3.\nAnswer: -k**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12015402 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121 - -134) + (7 - (-2 + 44)) - -122?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.47 + -9.47. Which is the closest to 0? (a) -46 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and 190\/57 + 101\/(-72).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h**(1\/8)\/h)\/h*h\/((h\/(h**(-10)\/h)*h)\/h))\/((h*h**(-19)*h*h)\/h**18) assuming h is positive.\nAnswer: h**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 4841?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Suppose q*r - 145 = -5*u, -3*r - 2 = 4. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let z = 8 - d. Suppose z*n - 36 - 9 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 + -97 - (-10 + -17))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a - a**2 + 5\/6*a**3 - 11\/24*a**4 + 0. Let t be r(-6). Round t to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8027*z**2 + 24064*z**2 - 8022*z**2 - 8016*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 77, 108, 123, 116, 81, 12, -97?\n\"Answer: -a**3 + a**2 + 45*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20012210012202200 - 110?\nAnswer: 20012210012202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 379*u**3 - u**2 + 7*u + 3. Let k be o(7). Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**6\/480 + o**5\/96 - o**4\/48 + 2*o**3\/3 + 5*o. Let f(j) be the second derivative of u(j). Suppose f(n) = 0. Calculate n.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112320167 less than 8.5?\nAnswer: 8.4887679833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 3}. What is prob of picking 2 x and 1 g?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 0*v + 2*v = 0. Suppose -10*s + 4 + 536 = v. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2. Suppose -5*c = 4*j + 4, -2*c + 29 + 3 = -4*j. Let r be o(j). Suppose -3*f + 1 + 8 = r. Solve -f*a + 15 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*g + 24 + 11 = 0, -5*i + 3*g = -63. What is the first derivative of -11 - i*h**4 + 1881*h - 9*h**4 - 1881*h wrt h?\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10.1. Let s = 7.2 + -5.4. Let x = f + s. What is x rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9224.151 to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*z**6 + 670*z**5 - 147255*z**2?\nAnswer: 16800*z**3 + 40200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123036276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5414650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682711.\nAnswer: 43, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - s + 960 = 0. Let u = s - 82. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 2*l + 582, 434 = -3*r - l. Suppose -3*x - 194 = -x. Let d = x - r. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28893 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1880764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*t**2 - 5*t**2 - 15*t**2)*(1 - 2*t - 1)*(37 - 6 - 11) to the form p + y*t + j*t**2 + a*t**3 and give a.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 5. Let o(u) = -2*u - 9. Let m(q) = 11*j(q) - 6*o(q). Let z(r) = 5*r - 4. Determine 2*m(l) - z(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13637219.8126+719\nAnswer: -13636500.8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 168821478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtqttzztqtqqt. What is prob of picking 2 z and 1 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/9 + 13472*l**3\/9 + 22686848*l**2\/3 + 152818608128*l\/9 - 6868. Find m such that d(m) = 0.\nAnswer: -3368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/8 + -5)*(8 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -v - 3*v. Let s = v - -87. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(700)*1 + 4.\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 23. Let g be o(0). Suppose g - 55 = -8*b. Solve b*v - 6 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z**9)**(2\/53)\/((z\/((z*(z\/((z*z*z*((z*z**1\/z)\/z)\/z*z)\/z))\/z)\/z))**(2\/3))**(1\/14) assuming z is positive.\nAnswer: z**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:04 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from gogttyt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -1424?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**3 - 90*p**3 + 281*p**2 + 35*p**3 wrt p.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + 4*f)*(-164*f + 78*f + 118*f).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n**2 - 747*n + 48. Let b be d(33). Solve 0 = 87*j - 13*j + b for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:02 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -62389 divided by 57?\nAnswer: -62389\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0874, 17, -2\/5, 1\/4, 0.09 in decreasing order.\nAnswer: 17, 1\/4, 0.09, 0.0874, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(1872)) - (sqrt(1872) + (sqrt(1872)*3)**2*-2) - (-1 + sqrt(117) + -4 + ((1 + sqrt(13))*6 - (sqrt(208)*3)**2)).\nAnswer: -45*sqrt(13) + 35563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqqj when four letters picked without replacement from {q: 12, j: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - a + 5. Let o be s(5). Find the first derivative of o - p**2 + 8*p**2 - 157 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 178303902158?\nAnswer: -178303902159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 49501135429?\nAnswer: -49501135428.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 99439948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d**(3\/8)*d**(-4)*d**(-6)\/d*(d*d**(-8)*d*d**(-1\/18))\/((d\/d**3)\/(d*d\/(d**(-3\/5)\/d))) assuming d is positive.\nAnswer: d**(-4979\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1180 divided by -4\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450429.\nAnswer: 3, 7, 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:49 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 + 2 = 0. Let v = 34 - 34.3. Let k = 0 - 1. Which is the closest to k? (a) o (b) 3\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 + -96. Let w(s) be the second derivative of -s**4\/12 + 4*s**3\/3 + 17*s**2\/2 - 13*s. Let a be w(8). Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*i + 10, i + 21 = 5*b - 34. Which is smaller: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, a: 5, e: 2, y: 1, d: 1, z: 1}. What is prob of picking 1 y, 1 z, and 2 a?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 4, j: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 403359290 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.96148 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 34*o + 170. What is i(6)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let q = -5 + 9. Suppose 2*d = -q*l - 2 + 10, -4 = -2*l + 5*d. Let i(v) = -3*v**2 + v**2 + 0*v**l. Calculate z(i(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 + 2*j - 2*j - 18*j**2. Let r(n) = 7*n. Calculate r(t(b)).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352\/6*375\/50.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**7\/840 - u**6\/60 - 3*u**5\/40 + 5*u**4\/24 - 2*u**3 + 15*u**2. Let v(h) be the first derivative of j(h). Give v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907792 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -345482 (b) 0.057 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*q)*(76*q - 169*q + 42*q) to the form f*q**2 + y + m*q and give f.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:44 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((306\/85)\/(-9))\/(((-36)\/10)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 28. Let y(h) = h + 33. Let r(p) = 6*k(p) - 5*y(p). Let m(g) = -15*g**2. Calculate m(r(w)).\nAnswer: -15*w**2 - 90*w - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/3 - 232*s. Let b(q) = 111*q. Calculate f(b(l)).\nAnswer: -49284*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 2380009.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**9\/70560 + k**8\/35280 + k**7\/17640 + k**5\/30 - 3*k**2. Let z(w) be the third derivative of m(w). Let z(n) = 0. What is n?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -c + 4*q + 12132, -48567 = -4*c + 3*q. Suppose 0 = -38*n + 15*n + c. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68\/61 + 11939\/915. Let r = o + -37\/3. Let n = 0.12 - -0.08. Which is the closest to n? (a) r (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i - 4. Let v be a(3). Suppose 4*z = 17 - 1. Differentiate 14*q**2 - z*q**2 - 3 - 8*q**v with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 430*a**2 + 3.\nAnswer: -430*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 + -220. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 7*d - 75. Let w = d + -12. Solve 2*q = 2*a - w - 12, -5*a + 15 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489557 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01296 and -1?\nAnswer: 0.01296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 574 + -570. Suppose r*o + 10200 = 24*o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = 410*z - 372*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/172*2\/3)\/(19\/10)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/40 and (-470)\/(-640)*(-44)\/110.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - 30. Let h be a(5). Let y(f) = f**2 - f + 11. What is y(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30713?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 11:46 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a)**(-13)\/(a*a**(-3)*a)**(38\/3) assuming a is positive.\nAnswer: a**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*p**2 + 5*p**2 - 5*p**5 - 2*p**5 + 0*p**2 wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {m: 2, q: 2, k: 3, h: 2, e: 3, p: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/((-6)\/(-4)))\/(-1). Suppose 0 = -9*q + 3*q. Calculate the remainder when 5 is divided by 12\/3 + x + q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + (-1 - 8) + 136 + -102 + 19).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s**3 - 2*s**2 + 3*s + 4. What are the prime factors of p(-2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1290 - -1282.37. Let w = 8 + l. What is w rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*f + 64*f + 9 = 0. Suppose -2*v + 3*l = -4, f*v - 9 = -l + 19. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -1b?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*t*w**3 + 13*t + 4*w**3 - 6*w**2 wrt w?\nAnswer: -132*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 32361081.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 121139. Let z(y) = 17*y. What is o(z(x))?\nAnswer: -34*x - 121139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -886786 = -2*g + 1546292. Let x be (1493078\/(-2) + 0)\/1. Let m = g + x. What is m rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:54 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133521?\nAnswer: 3, 44507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.201 - 0.401. What is the closest to -11 in -1, 2\/3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 83*i**2 + 1040*i - 1467. Calculate n(68).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 3*s - 5. Let g be w(8). Let o = -60 + g. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26183 + -26185. Sort b, -11, 44, 3, 1.\nAnswer: -11, b, 1, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 16) + 85\/(-6).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 46234?\nAnswer: -46233.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2749646866 and 4?\nAnswer: 2749646870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*v**2 + 3773 - 258*v - 7*v**3 - 3773 = 0.\nAnswer: -129, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-5 + (3 - -4) + -8)) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*l = -0*r - 13233008, 4*r + l = 17643998. What is r rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386 + 347 - 733 - 9398*l to the form q + o*l and give o.\nAnswer: -9398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*d = -3*d - 3427, -y - 2*d + 675 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 288*l**2 - 23*l - 39. What are the prime factors of g(-2)?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -23 + 7 - 43 - (17 - (1 + -2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 888 - -26?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9955 is divided by 68.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -9*y + 962. Calculate the highest common factor of y and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u. Let h(s) = 56*s**2 + 2917*s. Calculate n(h(r)).\nAnswer: 280*r**2 + 14585*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36807 + 7058?\nAnswer: 44866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v - 1. Let o(r) = -6*r**2 + 6*r - 6. Determine 16*b(t) - 3*o(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14014412 - -2?\nAnswer: -14014410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -16*d + 58. Let f = d - -37. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 11*b**2 - 4*b - 1. Let p be l(5). Suppose h + p*h = 10, 2*h = -3*j + 14101. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 - -219.51. Let o = -149 + t. Let w = o + -73.81. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/44 and -41\/366.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.033, -523, 0.1, -0.2 in increasing order.\nAnswer: -523, -4, -0.2, 0.033, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40175358 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1096.54, -0.1, 0.07 in ascending order.\nAnswer: -1096.54, -0.1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123887 + -123886.9. Suppose k + 3*k = 20. Let y be 1\/(((-50)\/4)\/k). Which is the closest to x? (a) 0.5 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*i - i - 41, 4*i - 13 = -n. Solve -n = 4*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:40 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1394, -195.\nAnswer: -195, -4, 3, 1394","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round -281.4 to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 3*n**2. Let y = 2683 - 2679. Let m(g) = 3*g**3 - 10*g**2 + g. Suppose -4*s - 4*l = -48, 5*s - l = 2*l + 76. Calculate s*x(t) + y*m(t).\nAnswer: -2*t**3 + 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -2767252.\nAnswer: 8301756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 349?\nAnswer: -35e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376288 take away -24.15?\nAnswer: 376312.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 8. Let r be b(8). Find the first derivative of 7*f**3 + r*f**3 - 12 + 8 wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41021 or 41022?\nAnswer: 41022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 72\/(-15))\/((-102)\/(-170))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6273970.846 - 0.13?\nAnswer: -6273970.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cldc when four letters picked without replacement from {l: 7, c: 7, d: 4}.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1, -3\/7, 2, -3, 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 46*z + 0 - 136*z + 44*z + 48*z to the form a + p*z and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 192822 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 50. Let j = s + 20. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.2334 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from {d: 2, c: 5, s: 6}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -42?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4022732 * 4\nAnswer: -16090928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*w - w - 150. Solve 2*c + w*q = -3*c - 19, 4*c + 2 = 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5829\/17 + -343. What is the closest to 0.2 in 0.4, h, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20840000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212464*r + 7792*r + 51203*r + 194389*r.\nAnswer: 465848*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let z(a) = -53*a**2 + 3. What is z(v(l))?\nAnswer: -212*l**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -1120509.\nAnswer: 31\/1120509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -4778, -3, 0, 21 in increasing order.\nAnswer: -4778, -3, 0, 1, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17194257 and 358272.\nAnswer: 2799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -69. Let i(z) = z**3 + 8*z**2 + 6*z - 2. Let c be i(-7). Suppose 7 = c*n - 18. Solve p*k - n = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 0, -5*r + 32*s - 34*s = -20645. What is the highest common factor of 561 and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*g - 6*p = -139*g - 169, -3*g + 3*p - 90 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.983002291 + -2.983. What is j rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195563 + 817*o - 195563 to the form t + a*o and give a.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*w - 11 - 27 - 40*w + (2 - 1 - 3)*(w - w + 2*w) + 3*w + 0*w - 2*w - w - 2*w + w + 2*w - w - 3*w - 2*w + 2*w - w + (-44*w - 5 + 5)*(-1 + 3 - 4).\nAnswer: 79*w - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 343.8, -10, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/5)\/(17\/(255\/(-6))). What is the third derivative of -176*a**3 + 2*a**6 - 2*a**2 + 169*a**3 - d*a**2 + 0*a**6 wrt a?\nAnswer: 240*a**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 51*j - 98.\nAnswer: -(j - 49)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 - 8*k**2 - 5*k + 6. Let w(d) = d + 5*d**3 + 8*d**2 + 3*d - 32 + 27. Let s(z) = 3*l(z) + 4*w(z). Factor s(i).\nAnswer: (i + 1)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -12. Solve -3*p = p + u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3315940 is divided by 59213?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4 + 82*v**3 - 708?\nAnswer: 4*v**3 + 246*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17 and -141931?\nAnswer: 141948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 260 = 4*f, 2*f = -8*d + 12*d - 128. Let j be (-1)\/8 - (f\/16 + 0). Solve 2*m + 6 = -j*c - m, 12 = -2*c + 3*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/20*g**5 - 5*g**2 + 0*g**3 + 4\/3*g**4 - 14*g + 0. Let k(s) = 3*s**2 - 2. Give -11*k(u) + 2*t(u).\nAnswer: -2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 63457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 + -75. Find the third derivative of -144*n**2 + v*n**2 - 61*n**3 + 26*n**2 wrt n.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88147*g**2*m**2 - 4069*g*m**2 - 15 wrt g?\nAnswer: -176294*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.2 and 122159.\nAnswer: 122161.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -308*h*l**3 + 105*h*l + 3799955*h - 12*l**3 with respect to l.\nAnswer: -924*h*l**2 + 105*h - 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 20354?\nAnswer: -20403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/108 - 13*p**3\/27 - 35*p**2\/2 + 4633*p. Factor q(r).\nAnswer: (r - 35)*(r + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose 4*b = -0*b - 2*s, s = h. Which is bigger: b or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 25192 = 408. What is h rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/w*w*w**(-2))\/(w**(-1\/3)\/w*w*w*w**(-2\/7)*w*w)*(w**(-2))**(4\/5)*(w*w**(1\/5))\/(w\/(w\/(w**(-1\/4)*w))*w) assuming w is positive.\nAnswer: w**(-1483\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyyfjjyyfjj. Give prob of picking 1 f, 2 j, and 1 y.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (7 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 9, 0, 13896.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -918*m + 921*m + 4 + 1, 2*o + 0 = -2*m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 501 and ((-28)\/(-12))\/(28\/72)?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, l: 2, m: 2, s: 1}. What is prob of sequence al?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.04 - -0.04. Let h = j - -19.4. Let w = 1.7 - 6.7. What is the second biggest value in w, -2\/21, h?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.158528762 to 4 decimal places.\nAnswer: -0.1585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231052 (base 6) in base 4?\nAnswer: -123211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16460 = 4*o - b, 27*b - 23*b - 4098 = -o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4 + (-77)\/(-14). Which is the closest to 3\/2? (a) 3 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) - 590\/(-18). Let x = a - 16. Let y = x - 7. Calculate the remainder when 119 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 14240.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50d - 3?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:34 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**8\/1428 - t**7\/595 + t**6\/1020 - 14*t**2. Solve f(n) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89292986 rounded to the nearest 10000?\nAnswer: -89290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(4*w**2 + w**2 - 6*w**2 + 2*w**2 + w**2 - 6*w**2 + (3 + 0 - 4)*(0*w + 0*w - w**2)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(3 + (-3*sqrt(3))**2).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6871*p**4*t**3 + 359*p**3*t**3 - 4*p**2*t**2 + 51*p**2 + p*t**3 - 2*t**3 + 581*t wrt p?\nAnswer: 164904*p*t**3 + 2154*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 177, 223, 289, 381, 505?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/(2\/(-40)). Suppose 4*f - 20 = 0, -2*x + 5*f - 43 = -5*x. Let o be (-5*2)\/((-4)\/x). Calculate the highest common factor of o and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*29\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11740 + -11741. Let d = 21.946 - -0.054. Let l = 42 - d. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/23, 0.063, -3 in descending order.\nAnswer: 2, 0.063, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n. Let t(s) be the first derivative of 121*s**2\/2 + 182. What is h(t(u))?\nAnswer: 484*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-12)\/8)*34. Let l = 19 + u. Solve 3*q - l*q - n = 1, 0 = -4*q - n + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - (-1 + (-3 - -3)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1522 + 6*l - 1547 + 2957 - 3*l + 7*l - 2*l + l - 1 + 1 + 1 - 1 - 2*l + (-1 + 2*l + 1)*(0 + 2 - 4) + 0*l + l + 0*l + 2*l - 2*l + l + 0*l + 2*l - 4*l.\nAnswer: 3*l - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*(-1375)\/(-825)*3\/225?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -242\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 7 = -2*n, -66*r + 69*r + 10 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1284\/(-9)*(-90)\/3. Suppose m = 2*k + 3*k + v, 2*k - 1729 = 3*v. Suppose 0 = -d + g + 212, 0 = -4*d - g - 4*g + k. List the prime factors of d.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*u + 18 = -0*u, -21 = -2*z - 5*u. Let o = 6 - z. What is the derivative of 0 + d**o + 1 - 2*d**3 wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18*o + 2. Calculate h(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from ffdgdgggggfgffdfd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/41)\/p)\/(p\/(p\/(p\/((p*p*p**30*p)\/p))))*p\/((p**(3\/2)*p)\/p)*p*p**(1\/6)\/p*p assuming p is positive.\nAnswer: p**(3778\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 17. Let a(b) = -2*b + 3. Let w be a(4). Let o(s) = -s - 11. Let d(c) = w*i(c) - 8*o(c). Is 8 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-294))\/((-1)\/3*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*g + 3*g**2 - 43 + 8*g**2 - 2 - 6*g**2.\nAnswer: 5*(g - 9)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 27*m**6\/200 - 9*m**5\/50 + m**4\/10 + m**3 - 1. Let s(j) be the third derivative of d(j). Factor s(h).\nAnswer: 3*(9*h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -250\/1606379 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/120 + b**5\/60 - 9*b**2. Calculate t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 16. Let q be m(-15). Let o be 6\/(-15) + (-24)\/(-10). Let f(i) = i**2 - 3*i + 4. Let k(v) = v - 1. Give o*k(j) + q*f(j).\nAnswer: j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484825.\nAnswer: 5, 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 138*o = 40*o + 3276 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611095977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.69 - -3.09. Let b = -47.3 - o. Put -1\/4, b, 21 in ascending order.\nAnswer: -1\/4, b, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 20*y**2 + 28*y + 29. What is o(14)?\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8230 is divided by 514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*u - 2*u. Let q = u - 95. Let d = 55 + q. What is the highest common factor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*z. Let s(d) = 0 - z*d + 7 - 4*d + 7*d. What is s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(288)).\nAnswer: 6 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let v(r) = 5*r**2 + r. Let g be v(-1). Sort -0.3, p, g in ascending order.\nAnswer: -0.3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4915236?\nAnswer: 2, 3, 31, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*y + 609 = 1737*y - 371 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 138. Does 2 divide a(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 314\/26733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(8\/(-7)) + -1 + 3. Suppose -z - z - 14 = -3*k, 4*z - 4*k = -20. Sort z, -3, h, 2 in ascending order.\nAnswer: h, -3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 613, 613, 615, 619, 625, 633, 643?\n\"Answer: n**2 - 3*n + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687*0.27.\nAnswer: -185.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762210 (base 8) to base 9.\nAnswer: 427847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1893132 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 454*u**2\/7 - 12048*u\/7.\nAnswer: 2*u*(u - 251)*(u + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6633, 1\/2, -0.1 in descending order.\nAnswer: 6633, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*v**4 + 4*v + 268*v**2 + 11*v**4 - 204*v**2 in the form q*v**2 + z*v**3 + r*v**4 + t + n*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 26*p - 157. Let r be i(16). Suppose -r*q = -k + 2648998, 0 = 23*k - 20*k + 6. Round q to the nearest 10000.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 239*s - 76*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v. Let w(z) = 25*z. Let q(h) = -18*t(h) - 4*w(h). Let f(d) be the third derivative of d**5\/60 - 2*d**2. What is q(f(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.19, -0.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7 less than -7594007805?\nAnswer: -7594007821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8835*v**4 - 35*v**3 - 253*v - 3672 wrt v.\nAnswer: -106020*v**2 - 210*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**5 + 3*d**4 + 48*d**2 - 122*d - 24?\nAnswer: 280*d**3 + 36*d**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257 or -13176?\nAnswer: -13176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30503352 is divided by 608.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, 10 in decreasing order.\nAnswer: 10, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t)*(1 - t**2 - 1)*(-2*t + t + 2*t)*(2*t + 2*t - 6*t).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (80\/(-25))\/(3\/(585\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*c + 15, 0*g = -4*g. Suppose -5*j - c = 4*k, 3*k + 24 = 2*j + j. Let p(v) = -v**2 - 4*v + 3. What is p(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. Is 15 a factor of 3*9 + (-4 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.66 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(1\/15)\/(j**(-14)\/(j**(10\/3)\/j*j)))**(4\/5) assuming j is positive.\nAnswer: j**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-11 + -7 + 3)) + -1. Solve 2*z - m + 7 = 3*j, -5*z = -j - 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(136) - -2*(sqrt(136) - 4*sqrt(136) - sqrt(136)))\/((sqrt(8) + sqrt(512))*6).\nAnswer: -7*sqrt(17)\/54 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + sqrt(49)\/sqrt(7) + 2) + (sqrt(7) - (sqrt(21)*2)\/sqrt(3)) + (sqrt(21)\/(-2*sqrt(3)))**2.\nAnswer: -11*sqrt(7) - 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 407095093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100338 divided by 33446?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 9658 and 9657 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231324 (base 5) in base 15?\nAnswer: -bae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64900 and 3875828.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -35. Let t(g) = 186*g - 25. Is t(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 4*q + 8. What is the units digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1652 = 101*n - 1046 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82451 = 95*j + 24311. Does 63 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 4*r - 2*b, 236 = -25*r + 27*r + 4*b. Suppose 7*q - 2*q = 70. Calculate the greatest common divisor of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -107, -291, -557, -911, -1359?\n\"Answer: -g**3 - 32*g**2 - 5*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-60)\/(-120))\/((-6)\/26).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 5:21 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from hlhluwhzhlhk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**6 + 15*x**2 - 11*x**6 - 40*x**2 wrt x.\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -59*y - 47. Does 18 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20463277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-13)\/455)\/((-3)\/(-5))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - u, 0*u - 4 = 5*l + 2*u. Let w(t) be the second derivative of -1\/3*t**3 + 0 - 2*t + l*t**2. Let d(f) = 3*f**2. Determine w(d(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*a - 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fos when three letters picked without replacement from sfijisjipoojosijoso.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4703 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7*y + 399 = -4*y, -142 = -f + 2*y. Calculate the remainder when f is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -97, -111, -125?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.85449695235 - -475.85449789835. Let k = x - 472. Round k to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*m - 5 = 5, x - 5*m = 30. Let j = 7 - 16. Let i = -5 - j. What is the lowest common multiple of x and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 30, 87, 178, 309, 486, 715?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1835262 minutes to nanoseconds.\nAnswer: 11011572000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from wwwbawrwbwbawvwwha?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-850)\/(-12) - (-10)\/60. Let d = -63 + l. Let y(h) = -3 + h - 1 + 2. Calculate y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 32*x**2 - 30*x**2 + 0.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = -n, 7*n - 8 = 3*n + 4*y. Let l be (3 - n\/((-2)\/(-8))) + 6. Solve 5*p - 5*b + 10 = 0, p + 3*p + 10 = l*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 + 10*d - 21. Let u be i(2). Let k be ((-7)\/2)\/(2\/(-24)). Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1563260.72 rounded to the nearest one hundred?\nAnswer: -1563300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*d = 20, 3*t + 14 = 7*t - 3*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 27. Let t be m*(8\/(-12))\/((-4)\/6). Which is the nearest to 0? (a) -3 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 18) + 2 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -141581, -140054, -138527?\n\"Answer: 1527*v - 143108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 505674 and 786604.\nAnswer: 7079436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 4*v = 29*v - 9121503. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shstqsshttsghhh. What is prob of sequence qt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3*-3)\/(5\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 9*h**2 - 16*h - 6. Let w be m(4). Solve w*v = 4*v - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947750.\nAnswer: 2, 5, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-615) - 11040\/(-428040).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.053, 4, 1, -700, -4\/3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3 - 540*a**2 + 7*a - 15881 with respect to a.\nAnswer: 6*a**2 - 1080*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 2645*c + 1356832. Determine u(395).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 0, -3*g + 9 = -2*q + 5*q. Suppose -3*r + 6 = -q. Is 12\/5 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.032842\nAnswer: 0.032842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002274957 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiriiirii. What is prob of picking 2 i?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - p**2 - 10*p**2 + (-3 + 2 + 2)*(-2*p**2 - 2*p**2 + 2*p**2).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -18 - -1*(-147)\/33?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - h + 1. Let x be d(0). Let k(f) = -11*f**3 + f - 7. Let n(b) = 10*b**3 - b + 6. Let p(t) = -6*k(t) - 7*n(t). Determine p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 + 8*d**3 + 15*d**2\/2 - 52*d + 68. What are the prime factors of q(-23)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**5\/5 - 5*v + 13. What is the derivative of s(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 13. Let m be v(13). Suppose 2*k = 4*f - 8 - 50, m = -3*f + 2*k + 44. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 7. Let y be r(-2). Suppose 24*j = y*j + 3143. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301121 (base 5) to base 9\nAnswer: -14065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/57984 and -103\/115968.\nAnswer: 115968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.1, -0.4, -34, 2\/3, 8.489, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1344 and 96.\nAnswer: 12.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/7 - 95178*c\/7 - 11656368\/7 = 0. What is c?\nAnswer: -122, 31848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1033 - -1048. Which is the nearest to 0? (a) 2 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 973019 bigger than 973019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2. Suppose -5 - 13 = -3*s. What is the remainder when -1*(o - 10\/1) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-196))\/((-1)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.3 - 11.3. What is the third biggest value in -3, w, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by -5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 6, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 1. Let j be (p\/(-42))\/(3\/(-9)). Which is the nearest to -2\/5? (a) -2 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 16, 0 = -5*p - 0*p + 5*m. Suppose -2*j - 6 = 0, 5*u + 3*j - p*j = 3. Solve -4*i + 0*q = -5*q - 14, -i + q + 3 = u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57 = 9. Let v = 3 - u. Let w = -10 - v. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5.55, 5, 4\/5, 1\/3, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68\/8551000269 + -5412506679710369\/1034243482535550. Let h = w + -2\/60475. What is the common denominator of h and 55\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 51*h - 31. Determine g(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 3\/5, -353, 26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 134*g + 1871. Let b(q) = 62*q + 935. Give -13*b(k) + 6*x(k).\nAnswer: -2*k - 929","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 - -38. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48648*c + 51 = -48651*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100011111 + 10011000?\nAnswer: -100010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38421 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 480\/67, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 20. Let l(p) = 3*p**3 - 2*p**2 + 14*p - 1. Is l(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -19. Let p = g + 47. Let i = p + -13. What is the greatest common factor of 20 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + c5?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*((k\/(k**(-6\/19)\/k))\/k)\/k*(k**(-6)*k*k)\/k*k**(7\/9)\/(k\/k**(-15)) assuming k is positive.\nAnswer: k**(-3233\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13611705.4 rounded to the nearest 100000?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 1 (c) 8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 695 - 865. Let h be (-92)\/m + (-1)\/(-5). Let f = -71 + 66. What is the closest to 0 in 0.3, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4160*a + 2957. Let x(v) = 8323*v - 5912. Let h(f) = -11*k(f) - 6*x(f). Differentiate h(n) wrt n.\nAnswer: -4178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r\/(r\/(r*r**(-7)*r)))*r)*r**2\/r*r)**(-2\/79))**8 assuming r is positive.\nAnswer: r**(32\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28112 divided by 129.\nAnswer: 28112\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c**36*c*c)\/c)\/c)\/((c*c**(1\/21))\/c*c))**45 assuming c is positive.\nAnswer: c**(11325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 206176752 divided by 25119\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - -62. Let y be j\/4 - 1\/4. Calculate the highest common divisor of 36 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**(2\/21) assuming m is positive.\nAnswer: m**(4\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*(-285)\/76.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7091, -28321, -63689, -113195, -176839, -254621, -346541?\nAnswer: -452599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -1 - ((2 - (11 - 1)) + 22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 1875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -284140*b**4 + 166540 wrt b?\nAnswer: -1136560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. Let o = -93 - -52. Let y = o - -45. What is the remainder when d is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2\/7, 709 in descending order.\nAnswer: 709, 4\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**8\/840 + x**5\/20 - 3*x**3 - 30. Let c(q) be the third derivative of k(q). Find the second derivative of c(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*v + 20 = 3*v, 0 = -2*g - v + 8. Suppose -4*i - g*m + 72 = 0, -i + 27 + 3 = -5*m. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 65. Suppose -a - 381 = 28*j - 30*j, -s*a + 5 = 0. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.71 in -215, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o**(-3\/7)\/o))\/o))\/(o*o*o*o**(-1\/5)*o*o))\/(o**(-1))**(-3\/8) assuming o is positive.\nAnswer: o**(-1569\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131 in -0.05, 2, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.94 - 4.64. What is the nearest to 0.1 in 7, d, 5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 + 47. Let n be 0\/302 - ((0 - 2) + -2). Solve -m = -n*w - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18378 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 greatest common factor of 41 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1434, -2861, -4284, -5703, -7118, -8529?\n\"Answer: 2*d**2 - 1433*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - ((-26 - -53) + -31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85077, -170375, -255673?\nAnswer: -340971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 20081760\nAnswer: 140572320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 2170 = -2250 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {i: 3, l: 1, e: 2, b: 6, q: 2, j: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1755 and 0.5.\nAnswer: -0.6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -39664 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393331240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3188\/(-817722)*729\/(-18)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7069*h**2*i**2*y**2 + 158*h**2*i*y + 587*h*i**2*y**3 + 185*h*i*y**3 + 3*h*i*y wrt i.\nAnswer: -14138*h**2*y**2 + 1174*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 194 + 390. Is z\/12*(-30)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 11, 0.3, 19\/5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 89*k - 884. Give t(8).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2. Let x(y) = 4*y**2. Let a(h) = -3*b(h) + 2*x(h). Let t = -2 + 2. Let i(s) = t*s + 2*s + 0*s - s. What is i(a(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 11*t**2 - 6*t + 2. Let x be d(-5). Let j(h) = -h + 2. Give j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*1 + sqrt(77) + (sqrt(77) - sqrt(77)*-2*-5))\/(3*sqrt(176)*1*-6).\nAnswer: 11*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171046.\nAnswer: 2, 85523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*d - 6 = 6*d, -40 = 4*v + 5*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257 - 24 + 17)*(0 + g + 0).\nAnswer: -264*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -195*128\/890240*2\/3.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 5*v**2 - 17*v**2 + (0 - 1 + 3)*(-4*v**2 + 3*v**2 - v**2) + (8*v - v - 3*v)*(v - 4 - 6*v + 3).\nAnswer: -40*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1326373, 1326390, 1326409, 1326430?\n\"Answer: y**2 + 14*y + 1326358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 4, j: 2}. Give prob of sequence vjv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**2 + 19 - 17 + t**4 + 3*t + 11*t**2 in the form z + a*t**2 + y*t + v*t**4 + w*t**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3158 - 18997\/6. Calculate the common denominator of 93\/916 and u.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/7 - 159367*a**3\/7 + a**2 + 1115563*a\/7 - 956202\/7 = 0. Calculate a.\nAnswer: -159367, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 231 - 3*f + 232.\nAnswer: -3*f + 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 1331, -1\/7, 3, 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25687 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 8) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.196 - -0.004. Suppose 7 = j + 1. What is the smallest value in a, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -25 + 81\/(-18)*6\/(-27). Let c(n) = n**2 + 7*n + 102. List the prime factors of c(y).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/120 - w**4\/24 + w**3 + w**2. Is s(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**3 - 66*k**2 + 199. What is y(-11)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 - 5*a - 6. Calculate k(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 + 1523\/7. Suppose 14 - 58 = 4*g. Calculate the common denominator of (g\/12)\/(4\/(-18)) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 36. Suppose -4*w = -2*a + 32, -2*w + 5*a = a + t. Does 39 divide 34\/w*(9 + -30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 16}. What is prob of picking 3 m and 1 z?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1070 - -8481\/8. Calculate the common denominator of h and (-11)\/2*(-3)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-36)*((-48)\/(-33))\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 449, 579, 833, 1253, 1881, 2759, 3929?\nAnswer: 5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 736*v + 10. Let m(q) = 20*q + 1. Determine -j(h) + 6*m(h).\nAnswer: -616*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -741757 (base 11) in base 14?\nAnswer: -22d009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5103489 and -1.4708216.\nAnswer: 5103487.5291784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293610393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Suppose k = -3 + 1. Let j(b) = b**3 + 1. Let g(a) = -5*a**3 + a**2 - 2*a - 8. Let u(p) = -g(p) - 6*j(p). Let h be u(k). Calculate f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 2*w**2 + 9073*w**3 + 8426*w**3.\nAnswer: 17499*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3918*k**2 + 193*k**3 + 3918*k**2 - 8*k)*(4*k**2 - 5*k**2 + 3*k**2).\nAnswer: 386*k**5 - 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.096 in 9, 3, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10032, -59 in descending order.\nAnswer: 0, -59, -10032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 385 = 5*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61a (base 12) to base 9.\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.016 + 4.016. Which is the nearest to -2? (a) -2\/9 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17820 + 17820 + 121*o)*(2*o - 3*o - o).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*w + 17*w**3 - 14*w**3 + 2*w**2 + 3*w**4 + 66*w as m*w**4 + i + f*w**3 + d*w**2 + h*w and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -40*w**2 + 429*w - 23. Give a(10).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 242 + 226 - 466 - 84*i + 2*i - 5*i + 4*i + (-1 - i + 1)*(4 - 2 + 0).\nAnswer: -85*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44506961677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(3 + -7). Suppose 0 = -f - 5*d + 17, 4 + 2 = -2*f - y*d. Let g(z) = -z + 8. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17236474501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*b**4 + 82*b**4 - 147*b**4)*(1 - 1 + 1)*(-1 - 2 + 1) in the form u*b**2 + k*b**3 + d + c*b**4 + i*b and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-22)*(-7*(-24)\/280)\/((-12)\/300)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 14 = -11*w, -125 = -3*j - 5*w - 27 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1481540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 11.8, -1, 0.2, 11, 1?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 113*y - 2726. Determine l(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.215 + -0.685. What is the nearest to f in -2\/3, 2\/7, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214 - 102 = -220*t + 4. Let r(a) = -3 - 77*a + 3 - 143*a**2. Let b(k) = -11*k**2 - 6*k. Calculate t*r(q) - 77*b(q).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -51831 and -52088 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {v: 1, b: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 142.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 12. Suppose -2*f - 14 = 3*f + 3*l, 4*f + 16 = -4*l. Let c(r) = 1. Calculate f*k(j) + 12*c(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y**2 + 545*y - 8. Let p be w(32). Suppose k - 4*b = -17 - 4, 2*b + 33 = -k. Let q = k + p. Let u(t) = t**2 + 5*t + 2. Calculate u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -2\/19 (b) -1\/4 (c) -1\/3 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f + 2*k + 52 = 0, -2*f + 4*k = 16. Let l(r) = 3*r**2 - 5*r + 13. Let h(c) = 2*c**2 - 6*c + 12. Let j(z) = 4*h(z) - 3*l(z). Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((10*2\/12)\/(435\/1044))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9627, -19258, -28889, -38520, -48151?\n\"Answer: -9631*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5453407 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2. Let o be s(2). Let t be (20\/(-25))\/(2 - 24\/15). Let a be (-24)\/(-6) - -214 - t. Calculate the highest common divisor of o and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058*t + 2065*t - 18 - 4119*t.\nAnswer: 4*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*c**4 + 56*c**4 - 2*c**3 - c + 2 + 25*c**4 + c**2 to k*c**2 + j + m*c**3 + z*c**4 + v*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*f - 206, -3*n - 137 - 26 = 2*f. Let g = -36 - n. What is the remainder when 502\/10 + 2\/(-10) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let j(r) = -r**2 - 40266. What is n(j(b))?\nAnswer: b**4 + 80532*b**2 + 1621350756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhdhidddiddddddddd. What is prob of picking 2 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*1\/1 + -70. Let f be (-3)\/(-2) + n\/(-4). What is the highest common factor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -57. Let g be (-6)\/w + (-12)\/(-7). Solve g*q + 0 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*6 + 3. Let f(q) = 1 - 4*q + 6*q + 0*q - 3*q. Let d be f(-1). Solve -2*b - 10 + d = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*n**3*q**3 - 4*n**2*q**3 - 6*n**2*q**2 wrt n?\nAnswer: -1704*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12306 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7171 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 1*(-2 + sqrt(891) + -1 + 2*(sqrt(891) + -2)))**2*2.\nAnswer: -324*sqrt(11) + 16051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-492891)\/(-105) + (-3)\/15.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*146.\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-3*d**5 + 3*d**5 + d**5) + (3*d**4 - d**4 + 0*d**4)*(4*d - 3*d + 0*d) + 19*d**5 - 4*d**5 + 5*d**5.\nAnswer: 21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/15 + i**4\/12 + 13*i**3\/6 + 32*i**2. Let g be m(4). What is the highest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u**2 + 7\/12*u**4 - 4*u + 0 + 2\/3*u**3. What is the tens digit of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 + 6*p + 2. Let y = 120 + -119. Let n(r) = 2*r**2 - r**2 + 7*r - 6*r. Calculate y*h(j) - 5*n(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:01 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 581, 6, -1, 14, -5, -29 in decreasing order.\nAnswer: 581, 14, 6, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 21. Let f(u) = 12*u + 11. Let y(o) = o - 1. Let p(c) = -f(c) + 3*y(c). Let m be p(i). What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -377 + 376.98255. Round t to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - l + 17, -3*l = -f + 37 - 44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 112 (c) -3 (d) 1 (e) -0.053\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/17 - 3205866*i\/17 + 6411724\/17.\nAnswer: 2*(i - 1602931)*(i - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11703 in 0.09, 2, -27\/5, 5\/6?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.88 + 44. Let i = -0.12 + f. What is the smallest value in i, -0.01, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/1 + (-308)\/42.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*r**2 - 38*r**2 - 80*r**3 + 45114 - 45111 to a*r + w + q*r**2 + h*r**3 and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318 - 2*j**2 + 315 - 3*j**3 + 12*j**4 - 9*j**4 to the form w*j + h*j**4 + x*j**2 + l*j**3 + c and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 119. Sort -2, p, 1, 2.\nAnswer: -2, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -5 + 0 + 15 + -21 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 3522*u + 1934933. Determine f(-681).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - (1 + 151)\/8) + 8. Solve a = -3*f + 30 - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 4*o + 1. Suppose -56 = -5*n - 16. Let c be (20\/n)\/(1\/2). Suppose -3*b + 4*j + c = 0, -3*j - 4 = -7*j. Determine s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -2\/19 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k**4\/11 - 288*k**3\/11 - 128*k**2\/11 = 0 for k.\nAnswer: -8\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 15*b**2 + 17*b - 1. Let j be t(16). Suppose -4*g = m - 9, 3*g - 3*m - j = g. Solve 3*o = o - 2*n - 6, -2*n + g = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 208. Let z = 75 + r. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -28549.2.\nAnswer: 17129.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -1\/2*s**3 + 0 + 1\/12*s**4 - 7*s + 1\/2*s**2. What is the units digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(500) + 0) - 5*sqrt(500)*2)*-1 + (sqrt(500) + 2)*-2 + (sqrt(500) + sqrt(500) + sqrt(500)*-3)*1 + sqrt(500) + sqrt(500))**2.\nAnswer: -480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdrrrrdrrrdhrhhrdhd. Give prob of picking 3 h.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2999, -9, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -21*r**2. Let i(f) = 1278*f**2 - 14. Determine i(h(o)).\nAnswer: 563598*o**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 66*i - 123. Give b(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i. Let l(d) = -60 - 29 - 266 + 2*d**2. Calculate l(g(m)).\nAnswer: 72*m**2 - 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14235 - -14230. Suppose -25 = 5*y - 5. What is the third smallest value in f, -1, -1\/12, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-63)\/1575).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 42. Let t be p(0). Suppose -3*k - 45 = -t. Let h = 11 + k. Solve 3*m + 2*m - 3*z = -25, 0 = -2*m + 5*z - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-13 + (-6 - -8))) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2)\/(-1) + 6. Let y(j) = 3*j**2 - 2*j - 32. Let t be y(-6). Calculate the highest common factor of t and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32.4 and 72347560852?\nAnswer: 72347560819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1914614.\nAnswer: 2, 3, 1914614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = -26. Suppose 0 = 8*o - d*o + 422. Let t = -62 - o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 29915, -5, -1\/9, 5, -2 in descending order.\nAnswer: 29915, 5, 0.2, -1\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 244889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 1. Let i(z) = -7*z**2 + 5. Suppose 0 = 36*o + 14 + 4 + 18. Determine o*i(g) + 6*q(g).\nAnswer: g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2504 * 59.11\nAnswer: -148011.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 9, 1, -21, -63?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {f: 4, x: 1, p: 6, u: 1, g: 4, k: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -6*r. Is (r - (13 - 3))\/3*-6 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 2 - (128 + -86)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euue when four letters picked without replacement from {u: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 45*s - 25. Let a be r(-7). Solve -10*u = -a*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20*f. Let z(d) = d**2 + 2*d + 2. Let p(m) = 5*m**2 + 9*m + 9. Let v(b) = -2*p(b) + 9*z(b). Determine v(t(i)).\nAnswer: -400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = 6*v + 7*v + 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 16, -3*u + 2*z + 104 = -0*u. Let n = -36 + u. What is the nearest to -0.1 in -0.8, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -147278, -144989, -142710, -140447, -138206, -135993?\n\"Answer: -c**3 + c**2 + 2293*c - 149571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8793 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 16991*i**2 + 16991*i**2 - 2*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 4*c**3 + c**4 + (-c**2 - 3*c**2 + 3*c**2)*(-2*c**2 + 4*c**2 - 4*c**2) in the form m*c**4 + f*c + r*c**3 + b*c**2 + v and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14599 - -686172\/47. Find the common denominator of 64\/45 and n.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2072399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -420*i + 415*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -16. Suppose -2*i + i = t. Differentiate 2 - 2 + i + 2*b - 3 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2. Let t(f) = -2*f + 2. Let k be t(r). Let m = -251\/80 + -1\/16. Is k not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/8)\/((-141)\/1128).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1. Let w(g) = 2*g - 9. Let j(f) = 3*t(f) + w(f). Let z(a) = -a + 12. Let i be z(5). What is the units digit of j(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, -5, 1, 183.\nAnswer: -5, -1, 1, 2, 4, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -10*1\/(-2). Is (l - 2)*(-60)\/(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 + 176*k - 3872 = 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1044 + 1043.547. Let l = g + 0.053. Let y(a) = 2*a**2 + 32*a - 38. Let f be y(-17). Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 3, w: 2}. Give prob of picking 2 w, 1 i, and 1 x.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/4563?\nAnswer: 2\/4563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -134861446 minus 1?\nAnswer: -134861447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g + 16*g + g**2 - 29*g as p*g + d*g**2 + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210182867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1486*s**2 - 5 - 5 + 18*s**3 - 1485*s**2 + 5*s**4 to u + c*s + i*s**3 + d*s**4 + a*s**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 10*j**2 + j - 7. Let o be w(10). Suppose 0*u - 6312 = -u - y, 0 = o*y. Suppose u = -4*i + 12*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67387 - 4621\nAnswer: -72008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + l = 5*l - 13, -4*l + 12 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 6*u + 13. Let l(w) = w**3 + 3*w**2 - 19*w - 3. Let s be l(-6). Let d(a) = 7*a**2 - 4*a + 15. Let x(m) = s*g(m) - 2*d(m). Calculate x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 14. Let u(n) = n**3 - 6*n**2 + n + 1. Let g be u(6). Suppose w - i + g = 0. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 2. Let f be h(0). Let n(j) = 3*j**2 - 3*j**2 + j**f. Let k(t) = -t**2. Give n(k(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696063597.\nAnswer: 3, 29, 103, 173, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2. Let a(w) = -95*w**2 + 4 + 7*w**2 - 34*w**2 - 4. Determine l(a(v)).\nAnswer: 44652*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -10. Suppose -v = 4*m, 2*s + 0*m + 8 = -3*m. What is the second derivative of -12*b - 15*b**3 + 28*b**2 - 28*b**s wrt b?\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26634 is divided by 329?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2\/(-8))*150\/(-175).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = 4*b - 0*b, -4*b - 8 = -3*a. Solve a = h - d + 5*d - 18, -4*h = -d - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 3*d - 4. Let b(z) = 4*z**2 - 2*z + 5. Let p(q) = -q**3 + 3. Let l be p(0). Let f(w) = l*i(w) + 2*b(w). Let k = -340 + 343. Give f(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a factor of 68206050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by 1.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1\/8, 3, 4, 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m + 336 = 84*m. Find o such that 13*o - 64*o**4 - 5*o**5 + m*o**2 - 7*o**5 + 33*o + 40*o - 56*o**3 - 18*o + 16 = 0.\nAnswer: -4, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 11 + 37. Suppose -5*t + 631 = -f. Let o = t + -60. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 504, 507, 512, 519, 528?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 855737997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/42909 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 20. Let j = -51 + 46. Calculate the remainder when b is divided by (-1)\/(-4) + ((-35)\/4)\/j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18631579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, g: 6, m: 7}. Give prob of picking 1 g and 2 m.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -4, 46, -14, 0 in increasing order.\nAnswer: -14, -4, -3, 0, 15, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 4*r. Let z be v(4). Let c(f) = 3*f**2 + 3 + 2*f + z*f**2 + 0*f - 4*f**2. Let b be c(-2). What is the smallest value in b, -0.3, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 21*w - 2. Let h be j(-11). Solve 29 = -5*x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16*p*p)**(-1\/21) assuming p is positive.\nAnswer: p**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35654494.\nAnswer: 2, 1913, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287 + -4307\/15. Let l = -33578.1 - -33578. Let o = 13 - 8. Put o, y, l, 1\/3 in decreasing order.\nAnswer: o, 1\/3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 5)*(8 + 70*n + 78*n - 228*n) to h*n + w and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 - 426*d - 8404 = 0.\nAnswer: -191, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffiffffff. Give prob of sequence ff.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 52. Calculate h(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -l + 5, -2*l + 6 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 709.9357um?\nAnswer: 0.0007099357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 - -23.3. Let h = 31 - r. Let a = 4.7 + -0.7. What is the closest to 0 in h, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhe when four letters picked without replacement from {h: 9, d: 2, n: 1, m: 1, t: 1, e: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyjllfjyyjjdjv. What is prob of picking 1 l and 1 j?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2408711 and 61?\nAnswer: 146931371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/9)\/((-1075)\/(-258))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, u: 5, g: 10}. What is prob of sequence ggug?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 10. Let p(z) = 1. Let r(l) = -b(l) + 10*p(l). Let j(t) = -7*t. Let f(a) = -2*j(a) - 5*r(a). Let x(k) = 2*k**2. Give f(x(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k - 5. Let a(i) = 3*i + 2. Let n(p) = -11*a(p) - 4*b(p). Let t be (2\/(-7))\/(11\/(-77)). Determine n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64353984 and 401984?\nAnswer: 707893824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/30 - 271*t**3\/5 - 486*t**2 + t - 8779. Factor a(s).\nAnswer: -2*(s + 3)*(s + 810)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(-364 - j + 364)*(487 - 487 + 131*j) as m*j + l + a*j**2 and give a.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1712 - -1711.8. Sort -0.3, 2\/29, -4, m in increasing order.\nAnswer: -4, -0.3, m, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256659?\nAnswer: 3, 13, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 11*g + 3)*(-5 + 2 + 2)*(0 + 5 - 4)*(3 + 7 + 1) as b + o*g and give o.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2\/91, 23, 0.3, -8?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*l = 678*l + 36 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444719000 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135795027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1470924 to three dps.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a - 42 = -80*a + 43*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v*v\/(v*v*v\/(v*v*(v\/(v*v**(-8\/7)))\/v)))**(-14)*(v\/v**(-1\/4))**18*v**(2\/11)*v*v\/(v**(1\/9)\/v) assuming v is positive.\nAnswer: v**(-9193\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*d = 3, -2*d = 4*v - 1 - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 25*r + 1027. Let m be t(-41). Suppose 18 = -2*q + 3*q - 5*h, 5*h = -4*q - 3. Solve -i + 9 = 5*j, -m*j + q = -j - i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.94 - 0.06. Let f = 0.0625 + -0.1625. Let i = -134 + 136. What is the closest to f in 10, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 2 - (3\/(-9))\/(2\/(-12)). Solve -10*g - i*g = 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 greater than or equal to -2875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 30144*x**2 + 301718*x + 1176396 = 0. Calculate x.\nAnswer: -15082, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -8, -3, -15554?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 71 - 19 = x, -2*s + 156 = 3*x. Let t(c) = -17*c**2 + 5*c**2 + 52*c - x*c. Let i(j) = 12*j. Give t(i(f)).\nAnswer: -1728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/50779 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 4762*d**3 + 61 - 1902*d**3.\nAnswer: 2860*d**3 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5563575 is divided by 1390889.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q + 6*q - 11*q - 12. Let p(m) = m - 1. Let i(t) = -b(t) + 12*p(t). Let x(y) = 5*y. What is x(i(w))?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(189))\/sqrt(3))\/sqrt(9).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5) + 17024\/(-1330)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8299 and 70\/387?\nAnswer: 74691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 959\/2 + -481. Which is the third smallest value? (a) 0.5 (b) -2 (c) 2\/7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 1722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1\/9, 35, 0.9, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/34908 and -139\/1416?\nAnswer: 4119144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + -15 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -49. Suppose -m + 4 = -4*o, -4*m - 3*o + w = m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 25*r**2 + 7*r - 23. Give f(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:16 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -10)\/((-1)\/(-5)). Let t be (-54)\/(-8) + (-4 - 85\/c). What is the greatest common factor of 28 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 207 - 1731. Let q = -368 - f. Solve 2*o = -5*n - 0*n - q, 4*n + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*j + 52*j + 25*j - 7*j + 1 - 15*j in the form k + d*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:40 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-2880)*24\/(-4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10*y**2 + 16*y + 1. Calculate j(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - y = 7, -g - 2*y + 6 = 2. Find the common denominator of -47\/10 and 6\/27*(-69)\/g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p - 141 = 0, 117 = 3*n + 4*p - 106. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.063 + 3.937. Let u be 6\/(-45) + 265\/175. Let a = u - 12\/7. What is the closest to 0.2 in a, p, 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/760 and 71\/352.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433852553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:29 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13885*s**5 - 5215*s wrt s.\nAnswer: -277700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + 1 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c + 2. Let w be l(-2). Suppose 0 = -0*b - w*b. Solve 5*n + 6 + 9 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8962*b - 4481*b - 4483*b + 4*q - 74, 10*q - 230 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3062*a + 4*a**4 - 7*a**2 - 3062*a - 8*a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 - (-2 - (-12 + 6)) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324319011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i - 25. Give n(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 461 - 822)*(-s**3 + 2*s**3 - 2*s**3) as k*s + l*s**3 + u*s**2 + z and give l.\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - 1143*x - 21312. Give m(-19).\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/12)\/(1\/3). Suppose -4*i + 61 + 163 = -4*u, -3*u - 221 = -l*i. Let y = i + -30. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18.1 times 44335\nAnswer: 802463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 11*v**2 + 12*v + 2. Let z be q(-12). Let g(y) = y**3 - 5*y**2 + 5*y - 3. Let i be g(4). Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (118\/5)\/(2\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4436734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 42, 54, 66, 78, 90?\n\"Answer: 12*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 768*n - 43470.\nAnswer: -2*(n - 315)*(n - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 36 = -5*h, -4*h + 5*s - 6 = -15. What is the tens digit of (-2977)\/(-7) - h\/21 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -6.4?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3040 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/(-16))\/(2\/(-6)). Suppose -3*b = 4*y - 12, 0 = -3*b + 5*y - 2*y + p. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*l = 4, 2*g + 0*l = l + 5. Suppose 5*k = 5*a + 4*k - 12, -4*a - 5*k + 27 = 0. Solve 0 = -g*u + a*u, 4*r = -4*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 48*x**3 - 4*x**2 + 4*x - 12. Let j be r(4). Let p = -180863\/60 + j. What is the common denominator of p and -23\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, 23.737, -0.2?\nAnswer: 23.737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*i - 2*i + 91, 2*i - 2*x = 58. Let q be (i\/(-20))\/(1\/5). Let m be (-90)\/4*16\/q. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -907 + 1083. Calculate the greatest common divisor of w and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from vnhny.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13240 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c13d (base 15) in base 12?\nAnswer: 147471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 71913\/1982?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -166, -531, -1236, -2395, -4122, -6531?\nAnswer: -9736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 0)*(-c + 4*c + 3*c + (1 - 2 + 2)*(-6*c + 3*c + c))*(119 - 119 - 5*c + (-2 + 0 + 1)*(0 + 0 - 2*c)) to p + h*c**2 + u*c and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1933 - -1936. What is the second biggest value in -0.01, -4, -2\/11, g?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -1 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + b**4 + (0*b - b**2 + 0*b)*(-5*b**2 + 0*b**2 + 3*b**2) - 547*b**3 + 33*b**4 + 547*b**3)*(b + 4*b - 4*b).\nAnswer: 36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 57*z**2 - 3730*z - 7692. Give q(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = 4*p + p, 5*p - 26 = 2*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*y = 12, -12 - 4 = -c + 3*y. Let o = -108 - -970\/9. What is the nearest to 0.1 in c, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 13 = -2*u, 7 + 11 = 2*h - 2*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s + 1806385 = 2*v + 25*s, 2*s - 3612806 = -4*v. What is v rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 677123 and 2637?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 + a3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 570114 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 58734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 143 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -26) + 38 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 340\/7 - 7139\/147. Is 0 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127227335 to six dps.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/8 - 5)\/((-21)\/(-126)). Let q(f) = -2*f**3 - 4*f**2 - 3*f + 3. Let g(m) = -m**3 - 3*m**2 - 2*m + 2. Calculate t*g(u) - 2*q(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -2\/5 (c) -247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 32. Let t be 0\/(k\/5) - -4. Suppose f = t*f - 135. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*d + 1. Let n(o) = 2*o**3 - 4*o - 4. Suppose 3*s - 23 - 10 = 0. Let i(b) = 7*b + 4*b + 8 + s - 5*b**3 - 8. Calculate d*i(j) - 11*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 5. Let i be h(1). Solve 8*b - 4*b + i = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10646 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.668089 to 2 decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 642, -6, -50 in ascending order.\nAnswer: -50, -6, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 1, 9, -3 in ascending order.\nAnswer: -111, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -55652.63152 to the nearest 10.\nAnswer: -55650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 458 and -81.\nAnswer: -37098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5252130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(475)*-3)**2 - (sqrt(475) + (sqrt(475) - -1*(sqrt(475) + -2))).\nAnswer: -15*sqrt(19) + 106877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -420*x**5 - x**3 + 4*x**2 + 298*x wrt x.\nAnswer: -25200*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.198 minus -2331316974?\nAnswer: 2331316963.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 411239.\nAnswer: 1\/411239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 23*z - 18675 = -3*h, 5*z - 3*h - 18645 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 - 38*r**4 - 94*r**3 + 30*r**2 - 6726*r.\nAnswer: 60*r**2 - 912*r - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = q + q. Let w = -15 - q. Let b(i) = i**3 + 7*i**2 + 5. List the prime factors of b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 396\/126 - ((-8092)\/1617 - -5)*-5.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 7 + 7)*(3 - 4*x**3 - 3) - x**3 + x**3 - 2*x**3)*(x + 6*x + 0*x) as v*x**4 + g*x**2 + b*x + q + r*x**3 and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.026 - -0.02216. Round x to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/10)\/v**(-25) assuming v is positive.\nAnswer: v**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 18*r = 5*x - 38, 2*r = -0*r - 7*x + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is ((6 - 3)*1)\/(2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 1\/3, 4.03, -35, 1, 0.5?\nAnswer: 4.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 33*u**2. Let m(s) = 165*s - 1. Calculate c(m(l)).\nAnswer: 898425*l**2 - 10890*l + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6004 times -0.1332\nAnswer: -799.7328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12954427 is divided by 2606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 equal to -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 2*o + 4. Let r be (-35)\/4*(-4 + 8). Let u = -39 - r. Suppose 0 = -3*a + 336 - 351. Let w(k) = 3*k**2 - 2*k - 5. What is a*n(y) + u*w(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1995 and -116\/7690725?\nAnswer: 7690725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let f(s) = 4*s**3 + 4*s**2 + 13*s + 13. Let d(n) = -2*n**3 + 6*n**2 + n**2 - 6 - 6*n - 11*n**2 + 2*n**2. Calculate q*f(v) + 13*d(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -26 + 1. Solve v*o + 8 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111011102 (base 3) to base 6\nAnswer: -112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4*i + 2. Let y(v) = v**2 + 5*v + 2. Suppose 5*s + 12 = s. Let a(g) = s*y(g) + 4*h(g). Let u be a(-2). Solve p = u*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 57) + (34 - 12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 2. Let l(f) = -2*f - 1. What is -6*l(a) + 2*u(a)?\nAnswer: 6*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1272\/(-742))\/(1 + (-46)\/42)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 4*g + 44. Let l be j(5). Let n(i) be the first derivative of -i**2\/2 - 4. Let f(o) = o**2 - o + 2. Give l*f(h) - 2*n(h).\nAnswer: -h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/34 and (-4 - -8) + (-99)\/30.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6. Suppose 0*w - 5*w + 470 = m. What is the remainder when w is divided by (48\/(-10)*1)\/((-1388)\/6940)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -2786403766236.\nAnswer: -2786403766235.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661272 by -3.\nAnswer: -220424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.35. Let s = 1.53 - 0.58. Let w = s - l. What is the closest to w in 1, 2\/15, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/5144 and -97\/80.\nAnswer: 51440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 14594555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -400*j**3*q - 2*j**3 + 2*j*q*s**2 - 2*j*s**2 + 2*j*s + 36*s**2 wrt q?\nAnswer: -400*j**3 + 2*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/2321 + -67429\/46420. What is the common denominator of y and -113\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70532 + -70953.11. Let a = y - -427. What is a rounded to one decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 4*w + 2. Let p(j) = -j - 4*j + 3 + 2*j - 2. Let c = -3 + 6. Let h = 2 + -4. Calculate c*p(g) + h*v(g).\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 5, v: 1, u: 6}. Give prob of picking 1 n and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/324*(-6)\/(-20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4030*c*u**5 - 2*c*u**4 + 2*c*u - 4402*u wrt u?\nAnswer: 80600*c*u**3 - 24*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) -4 (c) 28.59 (d) 0.5 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/49 + -692\/1519. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:57 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 + 0*m**2 - 11*m**2 - 1 - 50*m + 16*m. Let t be o(-5). Suppose 4*a + 22 = 5*a. Calculate the highest common divisor of t and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*o + 76*o + 24*o)*(4*o - 9*o + 13*o).\nAnswer: 1152*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 15119?\nAnswer: -15115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 49 + 6)*(0*u + u - 6*u)*(2 - 5 - 1) in the form q*u + l and give q.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 6 + -3 + -2. Suppose 3*k + o - 7 = 0, 2*k + 2*o + 2*o + x = 0. Factor 2\/5*g - 6\/5*g**k - 4\/5*g**2 + 0.\nAnswer: -2*g*(g + 1)*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12 + 10 - 6*u**3 + 1 + 13 wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-22)\/(-8) - 0)\/(45\/1440)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/2)\/2 + 2. Suppose -3*x = k - 100, -a*k - 70 = -2*x - 3*k. Let s = -22 - -34. What is the remainder when x is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*j + 10, -p - j = -0*j - 4. Let q be ((-171)\/114)\/((-10)\/6). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hha when three letters picked without replacement from {a: 1, h: 2, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181455 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398461*k**4*u**2 + k**2*u**2 + 2*k**2*u + 2562*k**2 wrt k.\nAnswer: 9563064*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k + 9*k - 5*k - 6. Suppose 3*i = 18 + 15. What is the remainder when m(5) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 0 - 3 + 6 + 4*n**2 to w*n**2 + u + d*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -59, -79, -97?\n\"Answer: t**2 - 25*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 571?\nAnswer: 9\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 2, g: 4, u: 4, y: 1, v: 1}. What is prob of picking 1 v, 1 z, and 1 y?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -98*q + 108*q. Let s be 35\/25*(-4)\/q*-5. Solve s*p + 4 = k - 3, -5*p = k + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*11\/(-33))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14419241891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5549*d + 70 = 5559*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5*t**2 + 0)*(1 + 0*t - 3 - t)*(-2 - 11 - 24) as m + h*t + a*t**3 + p*t**2 and give p.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31977 times 1.154?\nAnswer: 36901.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46 - (-5148)\/(-108))\/(5\/9). Let z be 26\/(-6)*(0 + 1). What is the third smallest value in m, 1\/4, 5, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 4, 13 = -3*j - 2*y. Let c = 0.1 - -0.9. Let u = -1 + c. Sort u, 5, j in ascending order.\nAnswer: j, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 16. Let c = 15 + -26. Let y be f(c). Let l be (-2)\/((-6)\/2 - (-51)\/15). Put l, y, -2 in decreasing order.\nAnswer: y, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 - 0.092?\nAnswer: 5.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -150, -340, -608, -954, -1378?\n\"Answer: -39*h**2 + 5*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 9*i + 5*z - 25800, -2*i + 2*z + 12900 = 0. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from lkkkkkllkkkkklkklll.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.54. Let q = i - 0.14. Suppose 7*r = 3*r - 8. Which is the second biggest value? (a) r (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 23*z - 71. Let d be u(5). Calculate the highest common divisor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p - 1. Let k(f) be the first derivative of 6*f + 2*f**3 - 3\/2*f**2 - 2. Let r = 3 + -4. Give r*k(d) - 4*q(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278368590 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4\/j)\/(j**2*j*j))**13*((j\/(j*(j**(3\/2)\/j)\/j*j*j*j))\/(j**(-4)*j))\/(j*j**(-2\/7)\/j)**(-10\/11) assuming j is positive.\nAnswer: j**(37\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04369396 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 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: 17.97 * 1.3\nAnswer: 23.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1856005 divided by -1321.\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f**2 + 8*f - 1. Let k(t) = 3*t**2 + 3*t. Let o(g) = 8*k(g) - 3*u(g). Let j(h) = 84*h**2 - 20. Calculate -3*j(d) - 20*o(d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + -6 + (2 - 0) - 16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 4085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2538028 and 12.\nAnswer: 7614084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 7:51 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-3*2 - ((sqrt(156) - 6*sqrt(156)*-2) + sqrt(156)))\/(((sqrt(72) - -1*sqrt(72))*4 - sqrt(72))\/(sqrt(42)\/(sqrt(21)\/sqrt(3)))).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9.24. Let n = -3.76 + y. Let w = 0.1 + -0.1. Which is the closest to 1? (a) 4 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/6 - 5*z**3\/6 + 2*z - 7. Let k(r) be the first derivative of v(r). What is the second derivative of k(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let s be i(1). Let v(c) = -c**2 + 8*c - 11. Let t be v(4). Let h be (-2)\/(-8) - (-2)\/(-8). Sort t, h, s in increasing order.\nAnswer: h, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.69999415 - -77.7. Round l to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/20 + (6 - 2). Calculate the remainder when 0 - (-60 - (-6 + j)) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**35*j*j\/j**29)\/(j**(-2\/23)\/(j\/((j**(-1\/4)\/j)\/j)*j)) assuming j is positive.\nAnswer: j**(1135\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 3800 + 856. Calculate the highest common factor of 1067 and j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 1. Let x be 2*-1*(-9 + 5 - -5). Let c(r) = r - 1. Give x*c(v) + 2*y(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gab when three letters picked without replacement from {i: 1, b: 2, g: 1, x: 2, a: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from wyyyyyyyywwywzwywy?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/((-3)\/(-45)). Let f(o) be the first derivative of o**2 - 3*o - 5. What are the prime factors of f(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -7, -0.22, 2\/13 in decreasing order.\nAnswer: 3\/2, 2\/13, -0.22, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + (-452)\/1200. Let l = 1\/25 - s. Factor -1\/2 - 3\/4*p - l*p**2.\nAnswer: -(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 51 (c) 1.3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 34*j - j**3 + 5*j**3.\nAnswer: 4*j**3 - 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-9)\/15 + (-20 - (-6 + -14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1)\/(6\/216). Let c be t\/20 + (-2)\/(-5). Suppose 108 - 20 = c*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 3?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50660598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3*r**2\/2 - 6*r + 433. Suppose -3*v = -25 + 7. Let m(x) = x + 2*x - 6 - 1. Determine v*m(j) - 7*b(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:11 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 10.2, 8, -25\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**3 + 45. Let a = 6 + -2. Let l(s) = s**2 - 3*s**2 + a*s**2. What is l(f(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-11)\/(-42))\/(-11))\/((-4)\/(-16)). What is the smallest value in 0.1, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 + 4*z. Let j be 8\/(1\/((15\/6)\/5)). Let i(w) = 5*w**2 + 3*w. Let t(s) = j*i(s) - 3*x(s). Let d(p) = 33*p**2 - 19*p + 19*p. Calculate d(t(o)).\nAnswer: 132*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -26*c**3 - 3*c**2. Let h(p) = -9*p**3 - p**2. Give 8*h(a) - 3*k(a).\nAnswer: 6*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49668385 divided by -13.\nAnswer: -3820645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/60 + 11*i**4\/24 - 4*i**3\/3 - 8*i**2. Let r be a(10). Suppose -3*m + 16 = -r*m. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -172 + 7\/5*h**5 - 5*h + 0*h**2 - 13\/4*h**4 - 10\/3*h**3. What is the third derivative of q(j) wrt j?\nAnswer: 168*j - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - o + 8141, -4*t + 2*o - 2628 = -18930. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - p = -0*l + 19, 4*p + 7 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = 2479*n + 2434*n - 4871*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 8}. Give prob of sequence rww.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-3))\/(2\/6). Suppose -v + 5*o = -f, 0*o - 2*o = 8. Which is bigger: v or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/13)\/(-55 + 37577\/689)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1657775 by 7.\nAnswer: -236825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 18\/31 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 5*d + 2. Let i be (-5 - -3 - -3)*1. Let q be (23\/4)\/i + 2\/8. Let t be (-3)\/((-1 - -4)\/q). What is w(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5055039*v**5 - 132*v**4 - 138179796*v**2 wrt v.\nAnswer: -303302340*v**2 - 3168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 51*b**2 - 70*b + 325. Give s(-27).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -845.298 - -846. What is r rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46341 divided by 3\nAnswer: 15447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 9867?\nAnswer: 9863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -19. Suppose c = 4*h - 1 - 3. What is the nearest to h in -8, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20087*n = 20099*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7.7 - 14\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Let w be (-1 - -4)*1 - h. Suppose -5*d = w - 17. Solve -2*x + 8 = -2*p, -5*x - 5*p + d*p = -27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 2, 8, 4, 9, -19 in increasing order.\nAnswer: -19, 2, 4, 8, 9, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 42 + 132*a**2 + 44.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 10*k**3 + 45*k**2 - 90*k = 0. Calculate k.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 146477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -173872 to the nearest 1000.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*p + 12 = 0, 2*h - 4082*p - 13 = -4085*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k. Let y(a) = -7*a. Let h(z) = 6*t(z) - 7*y(z). Let d be h(7). Solve 1 = 3*p + d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6*j = 4*m, -6 = -3*j - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 8*a - 11. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49587997*i + 97339081 with respect to i.\nAnswer: -49587997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 > -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92919 is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010014 divided by 6?\nAnswer: 2505007\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/3 + 48*m**5\/5 + 37*m**4\/2 - 100*m**3 + 88*m**2 + 862. Solve g(o) = 0.\nAnswer: -22, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 2. Let r be t(-2). What is the tens digit of 12\/7*(-21)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0 + 21*l**2 + 11\/6*l**3 - 1\/3*l**4 + 0*l. Let v be s(2). Put v, 0.05, -2 in ascending order.\nAnswer: v, -2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13167 less than -2.996?\nAnswer: 13164.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 + 48 - (15 - (0 + -2))) + -22.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(99)*-2 - (sqrt(77) - 1*sqrt(77))\/sqrt(7))**2.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 592540 and 24330930.\nAnswer: 24923470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/636 and 49\/7566.\nAnswer: 801996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133753679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 4*k**3 - 35*k**2 + 6*k + 144.\nAnswer: (k - 8)*(k - 2)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o**3 - 2*o**4 - o**2 + (-1 + 1 - 2*o)*(6*o**3 - 8 + 8).\nAnswer: -14*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 4*h + 4*h + (-1 - 3 + 1)*(8*h + 0*h - 3*h).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g + 3. Let d be x(2). Suppose 4*c + 8 - 16 = 0. Suppose 17*v + 24 = -27. Sort d, c, v.\nAnswer: v, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2745 + 5417. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8283?\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:43 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3774 and -43\/3?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545058?\nAnswer: 2, 3, 107, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5619.3 + 3108. Round j to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z - 3*x, -x = -4*z - 2*x + 2. Let w = -13 - -19. Let y(a) = w - a + z + 1. Determine y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -59. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2405269.2 minus -1444.4?\nAnswer: -2403824.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + p. Let i be a(-2). Suppose 0 = -i*k - 2*k + 16. Let o = 8 - k. Solve -11 = o*g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3011, 3009, 3005, 2999, 2991?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/(-28))\/(-3))\/(1\/(-14))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 5 - 1) + 0 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -0.01, -23\/2, -2\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1308, -2832, -4202, -5340, -6168, -6608?\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o - 231*o - 1113 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 29*k - 29845 = 2*g, -2*k + 11929 = g. Calculate the highest common divisor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8, 0 = -3*i - 19*u + 23*u - 5. Put i, 0, 4, -474, 5 in descending order.\nAnswer: 5, 4, i, 0, -474","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b9 - 1?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/297 and 211\/62370.\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w - 3*w**3 + 10*w + 20*w + 3*w**3 + 153*w**5 wrt w.\nAnswer: 3060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 8, 294, -24, 5 in descending order.\nAnswer: 294, 8, 5, 2\/7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/124605 and -89\/2556?\nAnswer: 498420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7161 + -35597\/5. Is 42 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/13, -0.002, 3?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*z = 3935, v - 16*z - 787 = -20*z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/21)*b\/(b**(3\/2)*b))\/(b**(-37)\/(b**(-2\/15)*b)) assuming b is positive.\nAnswer: b**(2559\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 215 - 101. Suppose -g = a - 114, -a = 5*g - o + 44. Let s = a + 80. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4149*n + 90 = -4154*n, 0 = -4*z + 4*n + 64 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose -q + 4 = p*q. Suppose 2*s = 2*h - 8, -h + 0*h + 22 = 5*s. What is the highest common divisor of h and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5154449, -10308863, -15463277, -20617691, -25772105?\n\"Answer: -5154414*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let o(l) = 8*l**2 + 17. Let d(r) = -3*r**2 - 6. Let h = 4 - -12. Let s = 10 - h. Let v(a) = s*o(a) - 17*d(a). Calculate b(v(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353\/55 + 33\/5. Sort -1\/3, l, 3 in ascending order.\nAnswer: -1\/3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(28\/9)*c)**12 assuming c is positive.\nAnswer: c**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 9, i: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 13*a - 15. Let v be t(11). Suppose -2*r + v = -39. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Let z be (-2 + l)\/(4 - 1). Suppose 2*p - i - 36 = -z*p, 4*i - 27 = -p. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 576, 2286, 5136, 9126?\n\"Answer: 570*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.429, 1, 3?\nAnswer: 0.429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*r, d + 23 = 3*r - d. Let c(f) = 2*f - 3. What is the remainder when c(r) is divided by 2*(3 - 6\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 90025*s**2 - 405360035*s + 1215270015.\nAnswer: -5*(s - 9001)**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.885948 - 0.06\nAnswer: 0.825948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -9*k. Let n = 1.9 - 2. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130 or 2\/23?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 + 309. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 5. Let a(b) = -b**3 + 3*b**2 - 3*b + 3. Let f be a(3). Let m be j(f). Solve 4 + m = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/239621 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n - 8*n + 3*n)*(0*n**2 - 3*n**2 + 0*n**2 + (0 + n + 0)*(-n + 2 - 2) - n - n**2 + n).\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -602439376 divided by 616?\nAnswer: -977986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) -28 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4850032 divided by -12968?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 44. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let o(x) = -5*x. Let i(y) = -2*c(y) + o(y). Let p(v) = -13*v**2. Give p(i(h)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -250751.8377 to the nearest one thousand.\nAnswer: -251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32268467 divided by 53\nAnswer: -608839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9396989 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/11*(-3)\/(-6). Solve 9 = -3*o - i, r = 4*o - 2*i - i + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3069 and 22165?\nAnswer: 199485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 64900.\nAnswer: 64900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1212\/4193 + 2\/599. Suppose -5*v - 16 = y, 4*y + v - 14 + 2 = 0. What is the fourth biggest value in y, 1, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 109, 157, 225, 313, 421, 549?\n\"Answer: 10*o**2 - 2*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*c + v, -v + 7 = c - 3*c. Sort c, -5, -4 in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37523577 and 4.188639.\nAnswer: 37523581.188639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let m(k) = -k + 4. Let y(o) = 2*j(o) - m(o). Suppose 9 = 5*u - 11. Calculate y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z*z)\/(z\/(z\/(z**8\/z)*z)))**15\/(((z\/(z**(2\/7)*z*z*z))\/z**5)\/((z\/z**(-2\/5))\/z)**0) assuming z is positive.\nAnswer: z**(-789\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 10 = 3*x, -5*q = 2*x - 0 + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-30))\/(12\/(-16))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 401843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/((-117)\/(-36)) + 0 + 8. Suppose b = 5*b. Solve -m - 4*d + 24 = b, 0*m - 2*d = c*m - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -5. Let n = h + 14. Suppose r = -2*r. Solve -d - 5*z + n = 0, r*z = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + v + (v - 2*v + 2*v)*(3 - 4 + 3))*(39*v**2 - 37*v**2 - 2*v**3 + 5*v**3).\nAnswer: 3*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-112)\/(-16))\/(28\/8). Factor -1\/4*n - 1\/2 + 1\/4*n**f.\nAnswer: (n - 2)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*y**3 + 85*y**3 + 63*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.2 (b) 0 (c) 2 (d) 24.39 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*n**2 + 260*n**2 + 129*n**2.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 5*k + 41. Let v be p(-4). Suppose 0 = 2*a + z - 36, -a + 0*a - z = -19. Suppose -12*m + v*m = a. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 9*r + 3. Let d(i) = -7*i**2 - 8*i - 2. Let o(k) = -3*d(k) - 2*t(k). Find the second derivative of o(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 14356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x + 2*x - 1 + 1 + 2*x + (2 - 1 - 3)*(0*x + 4*x - 2*x) + 22*x - 15*x + 37*x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bne when three letters picked without replacement from iibnnnenbbi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -90. What is the tens digit of ((-6)\/h)\/(54\/(-29844))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 15*((-1414)\/(-35) + 4\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1 - 2*h**2 + 11*h + 4*h**2 - 3*h**2 - 5. Give f(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6*a + 8. Let b(u) = u**2 + 4*u + 3. Let j be b(-6). Let y be 100\/j - a\/(-3). Calculate the highest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 1.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(28) + 5*sqrt(17)*-2 + -1 + -1 + 1 + (sqrt(2057) + (sqrt(2057) - (sqrt(2057)*-2 - sqrt(2057)) - sqrt(2057)))**2.\nAnswer: -19*sqrt(17)\/2 + 32911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/13? (a) 3 (b) -2\/23 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -73, -110, -149, -190?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37788 or 1\/3?\nAnswer: -37788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - m + 5*m)*(-170 + 10*m + 171 + 21*m)*(-3 + 3 - 2).\nAnswer: -682*m**2 - 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -400 - 200100?\nAnswer: -200500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8818988765 take away 781?\nAnswer: -8818989546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 65 = 2*z. Suppose 2*t - u = 31, -4*u = -4*t + 7 + 45. Let m = z + t. Solve 4*f = m*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3 - 3) + 26. Suppose 2*s = 3*d - p, -4*d + s + 36 = -3*s. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccfccceccccccccc. Give prob of picking 1 c and 1 e.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from cggqbgb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1)\/((21\/30)\/7))\/(4940\/(-41496)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 + (-34)\/(-6). Suppose 16 = -n*c + 41. Suppose -c*a + 8900010 = x, 8899994 = -2*x + 3*x - 3*a. What is x rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.143366ns to seconds.\nAnswer: 0.000000000143366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 9 - j + 2.\nAnswer: -j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + 6 + -9 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**10\/37800 + k**6\/720 + k**5\/60 + k**2. Let u(q) be the third derivative of p(q). What is the derivative of u(h) wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107321341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 131935.56540033?\nAnswer: 131935.46540033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, e: 7}. Give prob of picking 1 e and 3 b.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46\/1491 - 68533\/178920. Find the common denominator of -71\/20 and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*v + 8 + 38, -15 = 3*n. Solve 0 = -3*m - 5*c - 18, 2*c + v = -2*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 92, -2\/15, 26, -11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 51*k - 22. Let l be z(-9). Solve -q = q - x - l, 0 = -2*q - 2*x + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + d = -18*d - 966, -2356*i = -2361*i + 2*d + 80 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n**3 + 4*n**2 + 4*n. Let q(o) be the third derivative of -11*o**6\/40 + 7*o**5\/60 + 7*o**4\/24 - 44*o**2. Give 4*q(c) - 7*r(c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 556445 at most as big as 2782231\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 10640, -5 in ascending order.\nAnswer: -5, 22, 10640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 57270980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*o - 2*d, -3*o + 1 + 51 = -d. Suppose 0 = -3*v + 15, -o = -4*n - 5*v + 12. Solve n = -7*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 - (-276)\/216. Let y = 0.4 + 0.2. Which is the second smallest value? (a) y (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146785 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49256800, -49256798, -49256796, -49256794, -49256792?\nAnswer: -49256790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 615 = 10*t. Suppose 81*x = 76*x - t. Let b = -38 - x. Calculate the highest common factor of 2 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275382140 a multiple of 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 3*q - 111, -2959764*q + 153 = 4*l - 2959763*q for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 359768989 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -679537 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84615997 to the nearest integer?\nAnswer: 9199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19532*g - 22065*g + 9*g**2 - 7*g**2 as z + l*g + v*g**2 and give l.\nAnswer: -2533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31070 is divided by 15447?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = n - 0 + 4, 0 = -3*h - 5*n - 20. Suppose f + 0*f - 49 = -3*j, 5*f + j - 273 = h. Let d = -47 + f. Solve 10 = -2*o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - (-4 - 38)) + (0 - (-1)\/(-1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -116, 8 in ascending order.\nAnswer: -116, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2449729149 to the nearest integer?\nAnswer: 49495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o\/o**2)))*o*o*o**0*(o*o*(o*o**(-4))\/o*o)\/o**1)\/(o**(-1\/3)*o*o**(-3)*o*o*o**2\/o**3) assuming o is positive.\nAnswer: o**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -765*q**2 + 233337*q\/5 - 732\/5 = 0?\nAnswer: 4\/1275, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67630680 and 48555360.\nAnswer: 1893659040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 192\/56*(-49)\/(-28). Solve -f*z - 4 = -5*z - 4*h, -2*h = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/((-4875)\/150)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4177647 (base 8) to base 16\nAnswer: -10ffa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 613, 619, 629, 643, 661, 683?\n\"Answer: 2*f**2 + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 - (-1)\/((-4)\/16). Let u = -3 - p. Find the third derivative of 7*r**2 - u*r**6 - 6*r**2 - 2*r**6 + r**2 wrt r.\nAnswer: -2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71122*q + 51 = -71127*q + 3*j, 0 = -4*q + 5*j - 72 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -3739402.\nAnswer: -3739402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*s**5\/21 + 360928*s**4\/21 - 22592968*s**3\/21 - 17080054*s**2\/21 - 4281290*s\/21 - 357244\/21 = 0. Calculate s.\nAnswer: -2881, -1\/4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*(v\/(v*((v\/v**9)\/v)\/v))\/v*v*v**(-3\/4)*v**(-2\/9)*v**(-2\/7) assuming v is positive.\nAnswer: v**(2707\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 48*n**3 + 46*n**3 + 1 + n**2 - 1. Suppose 5 = 2*h - 5. Let w(b) = 3*b**3 - 2*b**2 + 8*b. Give h*w(i) + 8*c(i).\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -22. Suppose r - 10*r - n = 0. Let x(k) = -13*k - 14. What is the units digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -33.\nAnswer: -33, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g - 386. Let b be o(-43). Let q(n) be the second derivative of 0 + 0*n**2 + 11\/12*n**4 + 0*n**3 - 11*n. Give q(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2 + 3\/6. Suppose p + 2 = -r + u, 5*r - 2*p = 19. Suppose 4*c + j = 2, -4 = c + c + r*j. Solve -6 = -f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 997082 and 67591664.\nAnswer: 1284241616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/5 + 4958*q - 173628\/5 = 0 for q.\nAnswer: -12402, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 809317375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -37*r + 2. Suppose 6 = -4*b + f, 0 = 6*b - 3*b - 4*f - 2. Let s be i(b). Calculate the highest common factor of 1444 and s.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 491595 and 117.\nAnswer: 1474785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 6*r)*(-r**2 + 0*r**2 + 0*r**2)*(-2*r + r - 4*r).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 5}. Give prob of picking 1 m and 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 512909 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*s + 3717 = -36*s - 9120 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 7, n: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-72) - (-153)\/408?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3 + 4133616*g**2 + 57974435*g - 3 wrt g.\nAnswer: -24*g + 8267232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 50.23?\nAnswer: -54.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289.99999809 + -290. Round l to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knk when three letters picked without replacement from {k: 4, l: 1, v: 2, p: 5, n: 2, a: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -90. Suppose 5*w - 52 = m. Solve 5*z = -0*z - w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4720 - 4491. Are f and -2\/21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -13. Suppose -4*s - 24 = -7*s. What is the remainder when n is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/5, 2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8995 = 17*g + 9063 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17560504 is divided by 763500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385934 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -232 and -2.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) + -11 - 0. Let f = 19 + z. Let q be (-2)\/f + 126002\/9. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 510.448759 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 949708 by -237427.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, 4, 242, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -12*n - 17. Let w = 12 - -5. What is the remainder when w is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - r = 3*t - 5, t = r - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 1315*z**4\/8 + 2905*z**3\/3 + 3585*z**2. What is the derivative of r(t) wrt t?\nAnswer: 3945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7785e (base 16) to base 4.\nAnswer: -1313201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a factor of 1117426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-202 - (-165 - -61)) + 9\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((((t\/((t**(-1)\/t)\/t))\/t*t)\/t)\/t)*t*t*(t*t**(1\/3))\/t)\/(t*t*t\/(t\/(t*t\/t**3)*t)*t*t\/(((t\/t**(7\/5))\/t*t)\/t)))**8 assuming t is positive.\nAnswer: t**(-248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 19*u - 6 - u + 1 in the form r*u + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (-4*(sqrt(136) - sqrt(136)*1) - sqrt(136)) + sqrt(136))\/(-6*sqrt(200)) - (sqrt(153)\/(sqrt(9) + sqrt(81)*1) + -2)**2.\nAnswer: -81\/16 + 29*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995200271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 33455 = 9*j. Let p = j - -120487\/18. Calculate the common denominator of p and (-2)\/19 - 40687\/7866.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 20. Let z = 10 + -10. What is the tens digit of j(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/149 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-5)\/(-2))\/((-196)\/1176). Sort 3, 0.1, b, 0 in increasing order.\nAnswer: b, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3143 + 6964. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 960450?\nAnswer: 1920900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19555.\nAnswer: 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 9*g + 6. Suppose -2*z - 3*z - 25 = l, 4*l = 4*z - 28. What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-5 - -2)) + (170 + 3 - 232)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -91*z - 5371. Calculate x(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*j = -1121*j - 2063*j - 31332 - 178163 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*z**3 - 10*u*z**2 - 1106*u + 5*z**3 - z + 13553 wrt u.\nAnswer: 2*z**3 - 10*z**2 - 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*((sqrt(304) + -2)*2 + sqrt(304)) + 4*(-4 + sqrt(304) + 1 + sqrt(304)) + 3)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 61. Let o be 2\/n - 315\/(-54). What is the units digit of (-117)\/(-3)*2\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from zzrzrrzrvrvzrzzrrz?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 4, n: 8, o: 1}. What is prob of sequence mo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -118. Let j = -36 + t. Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 8142458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 10376?\nAnswer: -5\/10376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4\/7*h - 1\/7*h**4 - 1\/7 - 6\/7*h**2 - 4\/7*h**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -118, 0 in descending order.\nAnswer: 0, -17, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-4))\/(-7) + (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6029 - 15526 = 750*f + 11181 + 7764 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3682535\/351168 + 1599\/18290. Let r = y + 5\/192. Calculate the common denominator of 123\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**2\/2 - 347801*o\/2 - 844577.\nAnswer: -(o + 49681)*(7*o + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 3*b**2 + 2*b**2 - 1 + 4*b**2 + 1 + (-b + 3*b + 0*b)*(-2*b + b + 3*b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-15))\/((-4)\/(-10)). Suppose -d = l*d - 1720000. Round d to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40810573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331704232.\nAnswer: 2, 53, 73, 107641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 599038 and 272290?\nAnswer: 2995190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:15 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50839*x - 12816 with respect to x.\nAnswer: 50839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (14 - (3 - -5)) - (13 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) 0.3 (d) 56 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -29. Suppose -4*r = 172 - 17180. Suppose 0 = c + g*l - 854, 0*c - r = -5*c - 2*l. Round c to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (132\/45 - 3) + (-3)\/9. What is the biggest value in n, -2, -2\/23, -0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365775227?\nAnswer: 41, 709, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14775201 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let n(v) = -8*v**2 + v - 5. Let y(k) = n(k) + o(k). Let w(f) = -4*f**2 + f - 2. Calculate -5*w(h) + 2*y(h).\nAnswer: 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:36 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**3 + 26*x**3 - 68*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -1 (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p - 87*p - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(132))\/sqrt(12).\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 + 360*c - 48. Let y(x) = 15*x - 2. Let b(z) = -i(z) + 24*y(z). Let a(l) = -65*l. Give b(a(f)).\nAnswer: -16900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s = -41*s - 19*s - 14946 for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -369, -561, -769, -999, -1257, -1549?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-21)\/(378\/12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.22.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-11)*(73 + -30840)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16)*(-4 - 0) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681232689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -26 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.4 from -3.485.\nAnswer: 2.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 726637.9787 rounded to the nearest 1000?\nAnswer: 727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918*y = -4*g + 913*y + 445, -5*g + 551 = y. Solve -13*p - 9*p = -g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3406 + 3462. Calculate the remainder when 389 is divided by f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1591 and 63825?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 32*y + 3. Let w be d(0). Determine v, given that 2\/11*v**4 - 2\/11*v**w + 0*v + 0 + 0*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(152)\/(1*sqrt(8) + sqrt(8))*-6 - -2*(sqrt(171) + -1 - (1 + sqrt(19))*-2))**2.\nAnswer: 16*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**3)*k*(((k\/k**(1\/16))\/k)\/k)\/k*k\/k**(6\/7)*k**(-2\/9))**3)**(1\/15) assuming k is positive.\nAnswer: k**(1873\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 97*u - 111*u + 12 - 18.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 - 330*u**3 - 900*u**2 + 2810*u - 1575 = 0.\nAnswer: -63, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95463, 190944, 286455, 381996, 477567, 573168?\nAnswer: 668799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -100, -5, -10 in increasing order.\nAnswer: -100, -14, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 1, h: 7, m: 5}. Give prob of picking 1 h, 1 t, and 1 m.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*l**2*q**3 - 141*l**2*q**2 - 107*q**4 + 7 wrt q?\nAnswer: 150*l**2 - 2568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114803, 229616, 344429, 459242?\n\"Answer: 114813*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*q - 85 = 0, -3*i - 3*q + 38 = -7. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*c**3 + 122*c**3 - 378*c**3 + 118*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2382, -2381, -2380, -2379, -2378, -2377?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-25)\/10*18\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 + 50 = 5*g. Let t = 53 + g. What is the remainder when 77 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 - 3*j + 4. Let c be h(-4). Let d be (-140)\/(-144)*3\/c. Let k = d + -1\/64. Calculate the common denominator of k and -57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, 3, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 + 73*l - 15987\/2 = 0. What is l?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((1 - 0) + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxl when four letters picked without replacement from llxxlxxxlxxxxx?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 12. Suppose 0*v - 3*v + 483 = j*q, 5*v - 3*q = 821. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 26. Let g be 10\/1*r\/35. What is the smallest value in -2\/11, g, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20158 + -80873895\/4012. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 13. Suppose 4*n = -y*d + 20, 1 = 2*d + 4*n + 5. What is the lowest common multiple of 18 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -5663707?\nAnswer: 66\/5663707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04251 and 0.1?\nAnswer: 0.004251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26447\/4652 or 7?\nAnswer: 26447\/4652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -2\/351, 6, -0.2, 0.4.\nAnswer: -69, -0.2, -2\/351, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61442 is divided by 239?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44))\/(9\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 - 10)*(-9 + 9 - 3*i**3).\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -183, -366, -549, -732, -915, -1098?\n\"Answer: -183*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-21)\/((-63)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/81 and 133\/216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2904343486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.16 + 1.16000079. Round m to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145966 plus 0.7?\nAnswer: 0.845966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.6. Let d = 14260.92 + -14261. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*p**4 - 108*p**4 - 113*p**2 - 63*p**4 wrt p?\nAnswer: -5352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876029741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 13 = -3*n + 4*n, 5*n + c + 588 = 685 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**(-2)*q))\/(q**(-30)\/q))\/(q**19\/(q*q**(-4\/7))) assuming q is positive.\nAnswer: q**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*m - 3*r, 0*m + 5*m + 43 = 2*r. Let g(c) = 21*c - 65. Let f(w) = -4*w + 13. Let l(j) = 11*f(j) + 2*g(j). What are the prime factors of l(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 + 3*c + 1. Let x be m(-6). Let o = x - -71. Solve -4*u - o = -5*g - 18, 2*g = u + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + 1 + sqrt(13) + -2 + -6*2*sqrt(13) + sqrt(13))*-5 + (sqrt(130)\/sqrt(5)*1)\/((sqrt(48)\/sqrt(2))\/sqrt(12)).\nAnswer: 25 + 226*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 80*c**2 - 76*c - 431. What is the thousands digit of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((-24)\/34005)*4*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72609 + -72610. Let b = 13 - 9. What is the closest to w in -4, 35, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-6 + 16 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from adkdykyyaydd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 + l**4\/6 + 13*l**3\/3 + 2*l**2 + 2*l. Calculate the remainder when n(6) is divided by 1 + (1*-2 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1 + 2*p + 94*p**2 - 6*p**3 - 92*p**2 - 2. Let c(o) = o + 13. Let b be c(-11). Give q(b).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let i be (-3)\/2*(9 + -11). Let a(j) = -9*j + 2*j + i + j. Calculate q(a(d)).\nAnswer: 72*d**2 - 72*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -2 + (4 + -1 - -55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23107812 divided by 3?\nAnswer: 7702604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 2 + 807 + -808.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*y + 5 + (-32*y - 34*y + 64*y)*(3 - 3 - 1) to z*y + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 1600, 3606, 6404, 9988, 14352, 19490?\nAnswer: 25396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 14. What is s(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(0*z**2 + z**2 - 4*z**3 + 3*z**3).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -21\/52 (c) 5 (d) -3 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -5\/17 (b) -9 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 0. Suppose -o + 3 + 0 = m. Suppose -r = s + r + 2, s - o*r = 23. What is the least common multiple of s and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7614 + 3.7614. What is the biggest value in 0.2, 2\/5, -737, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 75 = -2*b, -5*l + 10 = 5*b - 4*b. Calculate the remainder when b is divided by (-16 - -10)\/(2\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2673\/(-189) - -15) + 12\/(-28))*(-70)\/4?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**2. Suppose -3*f + 6 = -0. Let a(y) = -38*y + 38*y - y**f. Calculate a(l(u)).\nAnswer: -169*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 10. Find the third derivative of -146*x**6 + 169*x**6 + 40*x**2 + 7*x**u wrt x.\nAnswer: 2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 1, u: 5, i: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 131. Find t, given that -4\/5*t**4 + 0 + 1\/5*t - 4\/5*t**f + 6\/5*t**3 + 1\/5*t**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*d + 7*b**2 + 4*b*d - 28710*b + 102294*d wrt d?\nAnswer: b**2 + 4*b + 102294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2. Let p be f(0). Suppose 0 = -c - p - 6. Let g(k) = 2*k**3 - 2*k**2 - k. Let a(j) = 2*j**3 - 2*j**2 - j. Calculate c*g(b) + 5*a(b).\nAnswer: -2*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92 and -4.218.\nAnswer: -388.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/60 - (-17)\/(-68))*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.87, -6\/11, 8\/29, 10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79319 + -79319.599955. Let c = 4 - 3.4. Let n = r + c. Round n to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001001001 (base 2) in base 12?\nAnswer: -45a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v\/v**9*v)\/(v*v**4)**(-8\/7) assuming v is positive.\nAnswer: v**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43603 (base 7) to base 13.\nAnswer: 4c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/10 + 1)\/((-6)\/(-30)). Let u = 10 - o. Find the first derivative of p**2 + u*p**2 + 4*p**2 - 18 wrt p.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1753265\/14264 - -72\/1783. Suppose 20*h - 23*h + 369 = 0. Let l = t + h. What is the nearest to l in 2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1715)*1*-2)\/(sqrt(45) - (sqrt(45) - sqrt(45)*-2) - sqrt(15)\/sqrt(3)*-5))**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23, 0.3, 22, 4 in increasing order.\nAnswer: 1\/23, 0.3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*z - 45 = 0, 75 = -5*a + 81*z - 64*z for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1972, 1967, 1950, 1915, 1856, 1767, 1642, 1475?\n\"Answer: -m**3 + 2*m + 1971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + 5*d + 5. Let a(n) = -2*n**2 + 3*n + 3. Let q be 45\/(-30)*10\/(-3). Let k(h) = q*a(h) - 3*m(h). Let s(p) = p**2. Determine s(k(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1440 - 1431. Calculate the remainder when 107 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + b + 2*b = -11, -3*b = -9. Let z(s) = -16*s - 724. Let f be z(-60). Suppose r - f = -3*r - 4*t, k*t + 340 = 5*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 31*s**2 - 4. Let c(x) = 495*x**2 - 66. Let o(w) = -2*c(w) + 33*v(w). Let b(l) = 17*l**2. Give b(o(k)).\nAnswer: 18513*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 3*w**2 + w + 8. Give r(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -97*y**2 + 10*y - 47. Calculate z(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 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 w(h) be the third derivative of 43*h**5\/30 + h**4\/24 - 4*h**2. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/30 - 585*l**2. Let b = -7 - -9. Let i(a) = -7*a + 7*a - a**b. Calculate -5*i(r) - 3*w(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 81 - 25?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/295 and -38\/33925.\nAnswer: 33925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d - -e46cd?\nAnswer: e472b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*o + 9*o - 6*o)*(5*o - 3*o - 3*o).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttbb when four letters picked without replacement from btmbntnnmn.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 34. Suppose 2*q - q + 13 = -o*g, -5*q = -15. Let y(w) = w**2 + 7*w + 1. Let b be y(g). Solve 0 = 2*j - 1 - b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -v - s, -2*v + 2*s = -2*s - 848. Let p = -137 + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, m: 3, e: 7}. Give prob of sequence em.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, -68, -94?\n\"Answer: -26*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -539*5\nAnswer: -2695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 31260*l + 469091. Determine g(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -4\/1733 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 42. Suppose 4*o - 26 = -7*r + 2*r, 3*r - u = -2*o. Solve 0*m = 4*m + 4*i - 20, -5*m - 3 = -r*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968392 and 1331539?\nAnswer: 10652312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473195220 by -215.\nAnswer: 2200908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.0473, 4, -345, -1\/3, 0.4, -2\/5?\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45396 divided by 4?\nAnswer: 11349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16934\/10 + (-28)\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2*13\/39\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 3. Let o(n) = -1. Let g(d) = -4. Suppose 4*q - 5*k = -0*q - 31, -4*q = -4*k + 36. Let m(w) = q*o(w) + 3*g(w). Calculate 3*m(y) - 2*v(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 86.09142 months?\nAnswer: 0.007174285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w**2 + 7. Let y(u) = -32*u + 89. Let v be y(3). Let b(k) = 11*k**2 - 4. Calculate v*b(l) - 4*o(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 20*y**2 - 7*y - 7. Let s be r(-6). Suppose 0*i = -2*i + 3*o - 292, -5*o = 5*i + s. Calculate the common denominator of i\/6 - (-4)\/(-6) and -75\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 489*t**2 + 132*t + 3. Let h(z) = 484*z**2 + 133*z + 2. Let g(p) = 3*h(p) - 2*l(p). What is the second derivative of g(d) wrt d?\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 0.04, -0.04, -2\/21 in decreasing order.\nAnswer: 5, 0.04, 0, -0.04, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/13, -1\/86, 0.1, -1\/5 in ascending order.\nAnswer: -5, -1\/5, -1\/86, 0.1, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 13 = -l + 5*r, -18 = -4*l - 3*r. Solve 2*g + 4*w + 28 = -l*g, -3*g - w - 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 3*f)*(150*f**2 - 401*f + 401*f) + 4*f**3 - f**3 - 5*f**3 + (-2*f**2 - 4*f**2 + 4*f**2)*(f - 4*f + 5*f).\nAnswer: -156*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -56c?\nAnswer: 56e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiw when three letters picked without replacement from rihwhqu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 5*a**2 + 2*a**2 + (-1 + 5 - 2)*(3*a - 5*a**2 - 3*a) + (-19 + 2*a + 19)*(-4*a - 2*a + 4*a) to g + q*a + r*a**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 - 5*u**2 - 5*u**2 + 17*u**2 + 8*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 32*l**2 + 81*l - 45. Let d(q) = -16*q**2 + 40*q - 22. Let y(s) = -5*d(s) + 2*m(s). Factor y(p).\nAnswer: 2*(p - 1)**2*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z - 3*z + 7*z)*(-5*z + 0*z + 3*z) + 21 - 5*z**2 - 21)*(-1 + 1 + 1)*(-2*z - 3*z - 7*z).\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -13*a. Suppose 0 = -2*t + 21 - 7. Is a < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 70*p + 70. Let y be x(-2). Let r = -46 - y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1119 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 6. Let u(p) = p - 3. What is -2*g(i) + 5*u(i)?\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1996.78 + 1996. Put h, -0.2, 0.3, 1.6 in decreasing order.\nAnswer: 1.6, 0.3, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (16 - (-4 + -2 - 5))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6.8. Let p = 0.200008 - y. What is p rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 1.5. Let v = -169.13 + 170. Let w = -0.13 - v. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:59 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - 7) + 3 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102001122001 (base 3) in base 6?\nAnswer: -4355514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 67*t**2 + 3*t + 2. Is n(-2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 209 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -777?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9681 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3393 + 3393.00004556. What is l rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lwvllwlwwllwlllll.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.0110036, -5, -4 in decreasing order.\nAnswer: -0.0110036, -1\/6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 12. Let t be h(5). Suppose 29 - 9 = 2*u + p, -4*u + 46 = 5*p. Solve 2 = 3*x - 1, -t*x = 2*d - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845316, -845318, -845320?\nAnswer: -845322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 20 = -4*n. Suppose 0 = 90*q - 99*q + 144. What is the smallest common multiple of n and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 11*m - 12. Let d = 1 - 3. Put m, d, -1 in increasing order.\nAnswer: m, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 96*p + 407. Give s(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12008, -11981, -11930, -11849, -11732, -11573?\n\"Answer: p**3 + 6*p**2 + 2*p - 12017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2815*f**2. Let q(g) = 2*g - 360. Let c(s) = s - 252. Let l(t) = 10*c(t) - 7*q(t). Determine n(l(y)).\nAnswer: 45040*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504772 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*p - 16, 109*p - 20 = 113*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -125944, 1, 4, -4, 5.\nAnswer: -125944, -5, -4, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -65801*o + 131616. Calculate u(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 148. Suppose 3*z + 3 - 33 = 0. Suppose -2*i = -z - g. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(1872) + (1*sqrt(13)*-5 - sqrt(13))) - ((sqrt(1053)*-6)**2 + (6*sqrt(208))**2).\nAnswer: -45386 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -7329, -24785, -58781, -114831?\nAnswer: -198449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10503 is divided by 223?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3627, 7772, 11917, 16062, 20207, 24352?\nAnswer: 28497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13424 - -1584087\/118. Calculate the common denominator of j and 19\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93682 at least 93690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c00694 + 4?\nAnswer: 1c00698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(-2\/7)*c**(1\/3)\/(c*c**(-5\/3)) assuming c is positive.\nAnswer: c**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Suppose 2*m - 12 = -3*n, y*m - m + 3*n = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27495779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 427 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335017, 2680172, 9045591, 21441406, 41877749?\nAnswer: 72364752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 268*c**3 + 3376*c**2 - 5712*c.\nAnswer: 4*c*(c - 51)*(c - 14)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-154)\/(-147) - 2\/(-7). Let p = -2\/15 + b. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 - -10)) + -6 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 2) + 2*15. Let u be 2\/(-6) + p\/6. Suppose 0 = 3*x - 8*x - 5*z, 0 = -x - u*z + 16. Sort 2, 0, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160 + -106. Let f = t + -46.41. Round f to one decimal place.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*d + 75120 = 0, 4*d = 26*x - 30*x + 60152. What are the prime factors of x?\nAnswer: 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 + -239. Let r = -65 - b. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 240.\nAnswer: -17520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/39*3*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 250 + 158 = 0. Let p = 73 - l. Solve -4*u + h = -0*h - 6, p*h - 12 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (242\/(-3))\/(1\/3). Let m = 2180\/9 + n. Suppose -k - 6 = k. Which is the third biggest value? (a) m (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3278962*a**2. Let f(g) = 18*g. Determine h(f(t)).\nAnswer: -1062383688*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333582 = -2795*h + 24178 for h.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2232445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -bae3b8?\nAnswer: -bae3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -158*c - 5. Let o(j) = 14*j**2. Give w(o(q)).\nAnswer: -2212*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/156)\/((-1)\/(-6)). Suppose 5*o - 9*o + 1997 = y*h, -o = 5*h - 3334. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1227968 * -0.109\nAnswer: -133848.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 28521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let u(z) be the third derivative of z**4\/12 + 26*z**2. Give a(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 1. Let x(k) = -4 - 2*k**2 - 6*k**2 + k**2. Let s(a) = 2*a - 3. Let t be s(2). Suppose -2 = -o - t. Determine o*x(u) - 5*b(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -4.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**4\/12 - 23*x**3\/6 + 14*x**2 - 3*x + 12. Let g be w(-21). Solve 0 = -6*j - g + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.5 - 5.554. Let s = -891790 + 891790.05399805. Let q = k + s. What is q rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(76))\/sqrt(4).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 10. Let d be s(-14). Calculate the greatest common factor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54153414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 29 + 7*t + 2.\nAnswer: 7*t - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8019 * -10.2.\nAnswer: -81793.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -36839550.3 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13701, -897, 7?\nAnswer: 13701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-32))\/(-9*6\/144).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0 + 6. Suppose -2*c + y = -c. Is 19 a factor of (-37)\/(-2*1\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f**2 + 0 + (f + 0*f + 0*f)*(10*f - 12*f + 13*f) in the form o*f**2 + z*f + v and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033254?\nAnswer: 2, 3, 137, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2207 by 1.\nAnswer: -2207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n**3 - 7*n**2 - 3*n - 4. Let v = 41 + -39. Let o(a) = -2*a + 7*a + 0*a - 3*a**v - 2 - 6*a - 5*a**3. Determine -7*o(l) + 3*q(l).\nAnswer: 2*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11051\/975 - -234\/25. What is the common denominator of -64\/33 and c?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 4. Let c be 21 - 4\/(-6)*3. Suppose -5*u = -3 + c. Calculate p(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200262 and 540.\nAnswer: 18023580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:13 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -600407.\nAnswer: 21\/600407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/4, -18, -3, -1 in increasing order.\nAnswer: -18, -3, -1, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26512, 43065, 59618?\n\"Answer: 16553*d + 9959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462088 and 26789?\nAnswer: 139088488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.7. Let q = 192\/215 + -4\/43. Which is the closest to -0.03? (a) q (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, i: 1, f: 5}. Give prob of sequence mm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127823.\nAnswer: 17, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3223644 + 5786*s - 3223644 in the form l + h*s and give h.\nAnswer: 5786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 25*c**2 + 2*c - 3. Let t be d(1). Let z = -19 + t. Solve -4*k = o - 0*o + 4, 2*k + 2 = z*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206227*h**3 + 328*h**5 - 206227*h**3 - 2*h**5 + 4*h**5 - h**5 + (2*h**2 - 2*h**2 + 2*h**3)*(6*h**2 - 3*h**2 - 2*h**2).\nAnswer: 331*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 4 + 5*q**2 + q**2 + 5*q**3 + 2. Let k be n(-6). Solve -i = i - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-1 + sqrt(242)))*-6*-5)**2 - (((-1*sqrt(242) + sqrt(242) + sqrt(242))*4 - sqrt(242))**2 - (-5 + (-1 + sqrt(242))**2)).\nAnswer: -1040 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**3\/3 - 3*v**2\/2 - 1. Find the second derivative of w(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 >= 812\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59127 divided by -5\nAnswer: -59127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:35 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:40 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 + -274. Let m be 1 + (-314)\/180 + 1. Let y = m + -1\/30. Which is the nearest to k? (a) 0.5 (b) 4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2592920.\nAnswer: 2, 5, 11, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 13*y**2 - 12*y + 12. Calculate k(10).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -378, -1351, -3280, -6489, -11302, -18043?\n\"Answer: -54*u**3 + 8*u**2 + 13*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1333.809 - 2982\nAnswer: -1648.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2)\/((-3888)\/(-432))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196258234531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18186 + 18190. Sort 22, m, -12, -8.\nAnswer: -12, -8, m, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 9 + 9)*(l - 2*l**2 - l + 2 + l**2 - 2 + (l - 2*l - l)*(l - l + 2*l))*(2*l**2 - 11*l**3 - 2*l**2).\nAnswer: -275*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2000)\/(-200)*(-4)\/(-60)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 3*p**2 + 1\/240*p**6 + 0*p**4 + 0*p**3 + 0 + 1\/60*p**5 + 0*p. Solve z(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 58162*l - 3555324.\nAnswer: 2*(l - 61)*(l + 29142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**4 - 2*w**2 + 4*w + 1. Let p(n) = 175*n**4 - 9*n**2 + 8*n - 7. Let l(t) = -2*h(t) + p(t). Find the third derivative of l(y) wrt y.\nAnswer: 4248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 425 and 221?\nAnswer: 5525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 9*f**2 - f + 29. Let k be t(9). Let h = k + -7. Calculate the remainder when 26 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Let s be 2*-36 - (1 - c). What are the prime factors of ((-12)\/(-20))\/((-2)\/s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*q = 23 - 4, 5*o + q - 11 = 0. What is the derivative of -2*b**o + 190 + 3*b**2 - 262 + 11*b**3 wrt b?\nAnswer: 27*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -417860000 to the nearest one million.\nAnswer: -418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -4189757\nAnswer: -10\/4189757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(7\/6)*y\/y**(1\/5)*(y*y**(-5))\/y*y)\/((y*(y*y**(1\/2)*y)\/y)\/(y\/(y\/((y\/y**(4\/11))\/y))))**(-1) assuming y is positive.\nAnswer: y**(-607\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:58 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r - 2*r**3 + 2*r**3 - 77*r**3 + 79*r**3.\nAnswer: 2*r**3 + 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 10, 0 = w - 3*u - 4 - 3. Let a(q) = -2*q**2 - q. Let r be a(-2). Let c be r\/6*(-1 - 1). Calculate the greatest common factor of c and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, s: 3, u: 3, w: 1}. Give prob of sequence usms.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-20)*(-20)\/15. Let v = 11\/2 + -6. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3158 - -3160. Sort 44, -3\/4, y, -3, 0.2 in decreasing order.\nAnswer: 44, y, 0.2, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 13460*d + 3500016.\nAnswer: 4*(d + 284)*(d + 3081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23286273 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1608995)\/150 + (-3)\/2. Let k = -10733 - q. Let p = -1830 - -16489\/9. Find the common denominator of k and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 29034.\nAnswer: -7\/4839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00183161517 to 7 decimal places.\nAnswer: -0.0018316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/3, -1\/5, 1, -1.2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 0) + (-3 - -3). Let i be w\/15 + (-17)\/(-5). Suppose -t - 12 = -i*t. Solve x - t = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655827*u**2 - 1936*u + 327911*u**2 + 1936*u + 327919*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/23 + 221\/207. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 27, 0.2 in ascending order.\nAnswer: -2, -0.2, 0.2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + -2 + 6)*-1. Solve s*d + 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, 1, -33, 4\/9, -3\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/3)\/(12\/108). Calculate the smallest common multiple of 10 and (836\/f)\/(4*4\/48).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6603939?\nAnswer: 3, 17, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -770 - -1237. Let q = v + -386. What is the highest common divisor of 891 and q?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -72\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - -4*sqrt(228)*-2))\/(sqrt(12) - -1*sqrt(588)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 39?\nAnswer: -2847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33142 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 biggest value in -18\/7, 2, 3, -6\/17, -516?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 5. Suppose -3*c + 5*x + 10 = 0, 4*c - 2*c - 3*x = 7. Let n(k) = 5*k - 7 + c + 4*k - 4. Determine 5*n(m) + 6*t(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, o: 1, i: 3, g: 4}. Give prob of picking 1 n and 2 i.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -4, 2, 1.\nAnswer: -4, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + (-50)\/80. Suppose 2*r + 6 = d, r = 3*d + 3*r + 14. Which is the nearest to -1\/4? (a) d (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -4\/3 (b) 5\/3 (c) -1 (d) 34 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364359?\nAnswer: 3, 121453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.69708mg to tonnes.\nAnswer: 0.00000000769708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose 0 = -j - r, 4*u - 4*j - 278 = 2294. Suppose -u - 1425 = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12195 + -12192. Let b = -5 + 5.4. Let d = -0.1 - -0.6. What is the closest to -2\/7 in d, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - 4*j, 5 = -o + 3*j + 2. Suppose 2 + 7 = o*w. Let d be 1 + 0 + 2 - w. Solve -z + 0*z - 5 = d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/9*p**3 + 2\/9*p + 1\/9*p**2 = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 18*l - 14*l - 44, 17 = -5*l - 9*q + 7*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*z + 7 = -5, -3*z - 9 = 0. Suppose 0*h - 3*h = -5*l + 1127, b = 2*l + 5*h - 426. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195*c**3 - 2*c**2 + 2*c - 4952.\nAnswer: -585*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 7*r**2 + r - 5. Let i be p(7). Let u be 1*(-5 + i)*-3. Let k(a) = a**2 + 36. Let b be k(0). What is the greatest common factor of u and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48686300 - -8?\nAnswer: 48686308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 24 = -4*t, 2*o - 21 = -t + 6*o. Let y(k) = 30*k**3 - k**2 + 3*k - 2. Let d be y(t). Let h = 32 - d. Solve -q + 4 = -h*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -0.4?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 61, 123, 209, 319, 453, 611?\n\"Answer: 12*i**2 + 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42127655, -84255305, -126382955, -168510605, -210638255, -252765905?\nAnswer: -294893555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1787 - 1260. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001010110 (base 2) in base 7?\nAnswer: 42051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1053 and 414.\nAnswer: 48438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -413*w - 2. Let o(m) = -m + 5. Let n be o(6). Is y(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -178, -270, -360, -448?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -27. Let u = -9 + i. Let l(z) be the third derivative of z**4\/12 - z**3\/6 + 3768*z**2. Give l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 16. Solve -h + 1 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18161)\/16510*24\/(-18)\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222016.\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 8 - 1\/18*a**4 + 0*a**3 + 0*a - 3*a**2 - 1\/90*a**5. Let j(o) be the second derivative of h(o). Factor j(b).\nAnswer: -2*b*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -719 - 4*a + 719. Let x(r) = -7*r**2. Give x(c(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (498 - 443) + -11*(-4)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmlrwrwlll. Give prob of picking 2 w and 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 12)*6\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 + 3 + 1 - n**3 + 4*n**2 - n. Let c be p(-2). Let f(g) be the second derivative of g**5\/20 - g**3\/2 + g**2\/2 - g. Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3860400?\nAnswer: 2, 3, 5, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701.8251 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(35) + sqrt(3500)*-1 + sqrt(35) - (sqrt(35) - sqrt(315)*-6))\/(-5*(sqrt(5) - (sqrt(125)*1 - sqrt(125)))).\nAnswer: 26*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - -244. Let d = t + -331.999823. What is d rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-6)\/(4 - 16)). Let r be m\/5*(-26)\/26. Which is smaller: -14\/13 or r?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 9, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 17. Let d be (-28 - -28)\/(1*-1). Determine i(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + m - 2*m + 120*m**3 + 17*m**2.\nAnswer: 120*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 66*x - 332. Let j be i(-14). Solve u - 3*m + 17 = 0, 5 = 3*u + j*m - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2096*g**3 - 2088*g**3 + 4170*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.6 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(605) + -3)*-6*3*3)**2.\nAnswer: 192456*sqrt(5) + 1790424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.2302 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus -74449147594.1?\nAnswer: -74449147594.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/18 - (-3)\/(-6). Let m be y\/(3 + (4 - 10)). Sort 0.3, 2\/7, m.\nAnswer: m, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 divided by 79?\nAnswer: -249\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 19, 18, 7, -20?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1811\nAnswer: -7244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/697 and 67\/369.\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176 - 91 - 95)*(2*b - 3*b + 2*b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*c + 0)*(0 + 0 - 1) - 12 + 12 + 7*c - 4*c - 25*c + 2*c to w + x*c and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -110?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/8 - 313*f**3\/8 - 4095*f**2 - 144664*f - 140608 = 0 for f.\nAnswer: -104, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15177*w**3 - 2*w**2 - 3. Is n(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 3 - 3)*(2*q - 2*q - q) + 7*q + 9*q + 0*q + q**2.\nAnswer: 7*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b*b*b)**(-1\/54)*b**(-8)\/(b\/(b\/(b**(-10)*b))) assuming b is positive.\nAnswer: b**(55\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/60 + t**4\/12 + 5*t**3 - 106*t**2. Let j be x(7). Sort -0.24, 2, j in decreasing order.\nAnswer: 2, -0.24, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169884*r*v**3 + 2*r*v - 26*r - 2*v**3 + 70*v + 32 wrt v.\nAnswer: -1019304*r*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 91 = -34. Suppose 3*f + z = 283. Suppose -169*n = 211 + 1089 - 6539. What is the remainder when f is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -134\/5. Which is the nearest to v? (a) 0.1 (b) 1 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3\/6 + 3*x**2 + 6*x. Let p be m(-11). List the prime factors of (p - -4)*69\/(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = 101*t + 2100 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -142402\nAnswer: -142410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 681 - 681.6. Sort -3\/2, p, 0.2, 4.\nAnswer: -3\/2, p, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d*d**7\/d*d*d)))*d*d*d\/(d*d**(3\/17)))\/(d**(1\/12)\/(d\/(d**(-8)*d))) assuming d is positive.\nAnswer: d**(559\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23313077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let r(i) = -i + 51. Let w(z) = 6*d(z) + r(z). Let h(u) = u - 1. Let b(c) = 2*h(c) + w(c). What is the remainder when b(0) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 8. Suppose 4*m - 2 = 14*b - 16*b, -2*b = -m - 2. Differentiate 2 + x*k + 11*k + 13*k + b with respect to k.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (24 - 16 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 9:08 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 9*g + 6 = 0. Let a be ((-26 + 2)\/4 + g)\/(-1). Solve a - 3 = 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 8) in base 6?\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*l + l**3 - 2*l**3 + 24 + 3*l**4 + 0*l**2 - 2*l**3 - 18*l**2 = 0. Calculate l.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.5, -17, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Let d = -46 - -62. Solve -2*v - t*z - z - d = 0, 6 = -v - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k - 1. Let y(q) = -10*q**2 - 15*q + 5. Let h(b) = -15*t(b) - y(b). Let c(p) be the first derivative of h(p). Let v(l) = -2*l. Give v(c(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1507 - -1502 - (2 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - (-51)\/9)\/(2\/4644). Which is bigger: y or 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1091*g**3 - 55*g**2 + g + 4. What is i(-1)?\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 35 = 3*u + 16, 5*c - 8*u + 7*u + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 23.1. Sort -1\/2, -9, j in ascending order.\nAnswer: -9, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48738273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(104280\/(-79))*-33.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.15673*3.\nAnswer: 72.47019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s - 2*s**2 - 82 - 175 + 453 - 196.\nAnswer: -2*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 11*s + 0 + 0 - 16. List the prime factors of t(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 149*p**2 - 34*p - 70. What is the units digit of o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -106, -123, -140?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f + 65. Let t be n(-7). Solve 3*y - 4*r - 22 = 0, r - t = -3*y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*3\/9*3219\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 272491385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.00000032 + -16. What is h rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3065 = -5*n + 4*t, -8*n + 2452 = -4*n + 5*t. Calculate the remainder when n is divided by 181.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/a**28)**(2\/3) assuming a is positive.\nAnswer: a**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 550*h + 5816. What is z(-10)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57167711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.82 + -4.82. What is the fourth smallest value in 4\/3, 14, -0.2, u?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1205, 3, -23890.\nAnswer: -23890, -1205, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1. Let i(p) = 2*p + 2. Let b(z) = i(z) + 3*o(z). Let y(x) = -3*x - 9. Let s(a) = -7*b(a) - 4*y(a). What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35127 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*y - 34*y + 19*y)*(-2 + 0 - 6) + (-4*y + 2*y + 3*y)*((-1 + 1 - 2)*(-1 + 0 - 3) + 5 + 0 - 2).\nAnswer: 451*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1092270 and 2990?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 + 1 = 0. Let n be 3\/t - -3 - 6. Let j(r) = -r**2 - 7*r + 4. Let m be j(n). What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10624 or -10458?\nAnswer: -10624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2. Let u(y) = y**2. What is u(n(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 4, j: 1, a: 1, f: 1}. Give prob of sequence nk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 45.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29705 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121772 minus 29737368?\nAnswer: -29859140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -96. Is 2669\/3 - s\/(-57) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 176*x - 1217. Determine a(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 at most 328294\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = t - 11, s + 27 = 281657*t - 281655*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(28)\/(sqrt(12)\/sqrt(3))) + (-4 + sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(30)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: -22*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**3 + x**2 - 6*x + 6. Let l be u(4). Suppose -5*i - 10 = -3*t - l, -3*i - 15 = 0. Let w be t\/399 - 2\/(-6). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 15*i + 44. Let u be z(7). Let w be 1 + ((-8)\/u)\/(-1). Factor 0*y**2 + w*y**5 + 0 + 0*y**4 - 2\/3*y**3 + 1\/3*y.\nAnswer: y*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m**2 + 18*m + 36. What is the smallest common multiple of t(-4) and 33?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257 in -25\/8, 1, -5\/4?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -24*m + 19*m. Let s(r) be the first derivative of -r**4\/4 - r**3\/3 - r**2 - 3*r - 2. Calculate the remainder when 7 is divided by s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206918307?\nAnswer: 3, 53, 157, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.46331.\nAnswer: 0.0138993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**2\/2 - u - 1. Let h be l(2). Solve -h*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/115 + -1\/23. Suppose 0 = -m - 2 + 4. Let z be (-3 - 1) + m + 2. What is the closest to z in -5, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 28 = -32. Suppose -56 = 10*v - 6*v. Calculate the remainder when v\/(2\/m*4) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198653710 rounded to the nearest one hundred thousand?\nAnswer: 2198700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252104800 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -3*w - y, 6 = w - 2*y. Suppose 7 - 9 = w*a. Is a >= -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) -43 (c) 17252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21002.\nAnswer: 2, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*s - 51274 = 0, 3*o - s - 6363 = 32075. Calculate the highest common divisor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -294558 * -0.6.\nAnswer: 176734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162c0a3b - 2?\nAnswer: 162c0a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014388 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -665 + 665 + 2*c**3 + 2*c**4 + 2*c - c - 3*c**2 to h*c**4 + w + u*c + a*c**3 + v*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f - 3. Suppose -27 = -5*r - w, -3*r - 3*w = r - 15. Suppose -l + r = -3*l. Calculate m(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0865 times -99.5?\nAnswer: 1003.60675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h - 3*h)*(3 - 86*h**2 + 43*h**2 + 47*h**2) as a*h + l + g*h**2 + d*h**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b97 (base 12) to base 4\nAnswer: 122203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 22531179. Let z(l) = 5*l. Give z(f(s)).\nAnswer: -10*s + 112655895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 25. Sort -4, c, 2 in descending order.\nAnswer: c, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 93, -13, -4.\nAnswer: -13, -4, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.916459 rounded to two decimal places?\nAnswer: 28.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (1*sqrt(320))**2*-6 + sqrt(320)).\nAnswer: -5745 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5 + 0 - n + 3. Let v be p(7). List the prime factors of (-65)\/v + 2\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k - 5. Let z be n(2). What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-4844.7\nAnswer: 2422.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 315 = -658 + 83 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let a be w(5). Let t(i) = i + 4. Suppose 0 = -2*f + m + 14, 14 = 5*f - 4*m - 18. Calculate the lowest common multiple of f and t(a).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 12) to base 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14892 and 26764647.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.1. Let f be ((-8)\/(-16))\/(22\/(-8) + 2). Which is the nearest to f? (a) -1\/3 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9757, -5, 605, 2 in decreasing order.\nAnswer: 605, 2, -5, -9757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*h - 22, -3*h = 4*t - 0*h - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56887 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*m**6 + 4875*c**2*m - 1305*c*m**2 + 3627709*m**3 wrt m.\nAnswer: 360*c**2*m**3 + 21766254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6114000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655 is divided by 1317?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - h = 18, v + 6*h = 7*h - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is -4373.9847 rounded to zero dps?\nAnswer: -4374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 41*p + 40*p - 82*p)*(-3 + 2 + 0)*(-73 + 67 + 174).\nAnswer: 168*p - 4872","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 24*i**2 - 24*i + 36. Suppose 2*r - 4*v - 49 = -3*v, -3*v = 4*r - 83. Calculate l(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -10.31.\nAnswer: 92.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**2 + 188*p + 107*p - 293*p.\nAnswer: 33*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 12. Let c = 40 - s. Sort 13, c, 0.\nAnswer: 0, c, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*j + 12 = 0, 0 = 268*p - 270*p + 4*j - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Suppose -4*n + g*n = -80. Let y = n - -2. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 376 = -296. Let v be 123\/12 - 2\/8. Differentiate 6*h - v*h - l*h - 11 wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(((-9)\/12)\/1) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 549 + 48. Suppose 3*q + 5*y - 435 = 0, -2*q + w = 2*q + y. Let n be -1*q*580\/(-3). What is n rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 11571.\nAnswer: 115710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - 101. Determine s(25).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14305 and 286100?\nAnswer: 286100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -35?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 38. What is r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -752, -499, 174, 1267, 2780, 4713?\nAnswer: 7066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 116*u + 81. Suppose 5*f + 2*s = s + 45, 3*f - 5*s = 55. Calculate the lowest common multiple of w(-38) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -1, 1, -35 in descending order.\nAnswer: 2, 1, -1, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - y**3 + 0*y**2)*(-24 - 27 - 53).\nAnswer: 104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7557*k**2. Let s(f) = -19*f**2. What is s(l(j))?\nAnswer: -1085056731*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 253*d - 595. What is v(-66)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 26*k + 129 = 0, 87 - 84 = -2*y - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 65032*n - 64066*n + 2 + 0.\nAnswer: 966*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 8*r**2 - 1\/24*r**4 + 0*r + 0 + 13\/6*r**3. Calculate the least common multiple of q(-5) and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*w - 23, -5*w - 41 = -5*q - 6. Find the second derivative of 3*z - 3*z**q - 2*z - z**4 + 0*z wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*s + 4036842 = -103*s. Let g be (-1)\/(-2)*(-1 + 11). Suppose -4*f + s = g*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 516 = -47*l - 258 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 528, 520, 534, 576, 652, 768, 930, 1144?\n\"Answer: u**3 + 5*u**2 - 30*u + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7681*l + 8. Let x(v) = -7681*v + 6. Let a(r) = -3*q(r) + 2*x(r). Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*b - 7, 5*r - 4*b = -7*b + 1. Suppose -r*p + 4*t = -722, 2*t - 3*t = 2*p - 727. What is the greatest common factor of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3832 - -15327\/4. Which is smaller: -1819\/4 or b?\nAnswer: -1819\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11833*d**5 - d**3 + 38*d**2 - 86*d - 2?\nAnswer: -709980*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372 - -374. Suppose z*c = -0*c + 18. Solve -c + 3 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.07792mg in grams?\nAnswer: 0.03107792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0511 - -3.0511. Which is smaller: 10 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 20*i - 13. Determine y(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 71 = 5*i. Solve -7*a + i*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -k - 4, 5*f - 5 = 5*k + 5. Suppose k = 9*t - 4*t - 70. Solve a = -2*p - t, -10 - 10 = 4*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.5 (c) 1 (d) -0.3 (e) -5 (f) 14\/199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*p + 0)*(-4*p**3 + 4*p**3 - 2*p**3) - 285*p**4 - 3060*p**4 - 1822*p**4 as v*p**3 + a + b*p**4 + f*p + o*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79852813*z**4 - 422*z**2 + 2*z + 29?\nAnswer: 1916467512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/674704 or -1?\nAnswer: -9\/674704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-10)\/((-4350)\/5685)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - 4*t**3\/3 + 5*t**2\/2 + 3*t. Let w be h(-4). Let f = w + 11. Solve f = -0*q + 4*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145644 divided by -2.\nAnswer: 72822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1\/(363\/(-357))) + 2 + -7. Is x >= 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (0 - 2) - (85 + -85).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 29 - (12 + (6 - 41))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 + 2. Suppose l = -3*o + 84006, -o - o - 335996 = -d*l. Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7528*f**2 + 12658*f**2 + 14892*f**2 + 13074*f**2 to l*f**2 + y + g*f and give l.\nAnswer: 33096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 170*j**4 - j**3 - 12*j - 5605?\nAnswer: 680*j**3 - 3*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/(-18655))\/(8\/(-56)))\/(-2 - 329\/(-175))?\nAnswer: -10\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23 + 13 + 7 + 7*s + 8*s**2. Let j be (-94)\/(-14) - 2\/(-7). Let q(d) = -8*d**2 - 6*d + 3. Let o(z) = j*q(z) + 6*b(z). Differentiate o(v) wrt v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 0 - (-215 + 219).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ac (base 16) to base 10.\nAnswer: -1708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 2, h: 2, a: 1, y: 11, u: 1}. What is prob of picking 1 a and 1 y?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**3 - 1. Let o(f) = -32*f**3 + 19*f**2 + 2. Determine o(u) - 5*w(u).\nAnswer: -2*u**3 + 19*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102213*m - 204430*m + 102216*m + 2.\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662955795.\nAnswer: 3, 5, 23, 547, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.699 times 0.129504\nAnswer: -0.090523296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4007*g + 573. What is the ten thousands digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7756385*j - 47*j**2 - 22*j**2 - 7756385*j.\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29931 + -19521. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 3*p**3 + 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130402400 (base 6) to base 14.\nAnswer: -4a59ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -120. Is 33 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z + 5. Let l = 7 + z. Is (236\/l)\/(6\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10789 by 185.\nAnswer: 10789\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/3 - 193603*t\/3 + 16642462\/3 = 0. Calculate t.\nAnswer: 86, 193517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2529.715 - 2530. Sort 1, -0.2, 1\/4, -4, m in descending order.\nAnswer: 1, 1\/4, -0.2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/54 - 1\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.03 plus -104707?\nAnswer: -104765.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28\/205 + 47\/1845. Which is the second smallest value? (a) 0 (b) 55 (c) l (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16902483 rounded to 4 dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/50 and -61\/14554050?\nAnswer: 14554050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 36188.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/27128295 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 2905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51415 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/2814*(-44)\/(-165).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 195 (b) 0.21 (c) 706 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -29*q. Let f = -52 - -53. Let o(g) = -36*g + f + 35*g - 1. Give o(k(v)).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 j when three letters picked without replacement from ueejjejeujju?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 133*a + 18*a**2 + 133*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22161 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4080310 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15003044 (base 6) to base 8.\nAnswer: 1753544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -546618967.7334 + 70.\nAnswer: -546618897.7334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 81. Suppose 18*u = z*u + 61. Let h = 109 + u. What is the lowest common multiple of h and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 131 + 210)*(-c + c - c**4).\nAnswer: -120*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k - 148*k - 581*k - 47069 = 42540 for k.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126585 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 58693.38 centuries?\nAnswer: 5869.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**6\/360 + q**5\/30 - 5*q**4\/24 - q**3\/3 + 3. Let l(t) be the third derivative of y(t). Calculate l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13.1 (b) 5 (c) -5 (d) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4398 and 576871?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 8, 182, -0.05, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/11)*f*(f\/f**(-6))\/f)**(-5) assuming f is positive.\nAnswer: f**(-380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 - (-165)\/(-22) - 319\/(-2) and 115.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77383*f - 153694*f - 10*f**2 + 76311*f + 4*f**2 + 4*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -788 - -790. Let m = -1\/19 + 64\/133. Solve -m*i**z - 12\/7 + 12\/7*i = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(226\/(-76) - -3). Let i = 35\/304 + t. Is i bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370 - m**3 + 16*m**2 - 16*m**2 - 25.\nAnswer: -m**3 - 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1605*y + 40 - 5 - 1575*y - 4*y**2 - y**2.\nAnswer: -5*(y - 7)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9838797, -9838789, -9838777, -9838761, -9838741, -9838717, -9838689?\n\"Answer: 2*q**2 + 2*q - 9838801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -3*t**5\/10 - 11*t**4\/3 - 25*t**3\/3 - 6*t**2 + 2*t + 225. Let k(c) = 0. Calculate c.\nAnswer: -6, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 - 4*z**2 + 7*z - 10. Suppose -17 = -5*l + 13. Let v be d(l). Suppose 9*x - v - 454 = 0. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1803, 1808, 1813?\nAnswer: 1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2710 by -188.\nAnswer: 1355\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10587, 42168, 94763, 168378, 263019, 378692?\n\"Answer: w**3 + 10501*w**2 + 71*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*w + 2*w. Suppose 314 + 17 = 5*n + i, -64 = -n + w*i. Suppose -2*g + 0*g + n = 2*m, 3*g = 5*m + 75. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3328842 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -15. Let f = y - -10. Suppose -s + f*w - 1588 = 0, 0 = -2*s - 4*w + 1553 - 4769. What is s rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/38? (a) -6.3 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 847148.1 millimeters?\nAnswer: 847148100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0706? (a) -1\/31 (b) -28 (c) -5 (d) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -1 - ((-20349342)\/11109)\/78) + (-2)\/(-23)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.9. Let v = -89.18 + 89. Let w = v - 0.02. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.511 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) -2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1028861053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-2265499\nAnswer: -67964.97","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-4) + 33\/44. Which is the closest to 34? (a) -3\/7 (b) h (c) -0.02 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11627161 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 5214?\nAnswer: 36498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2 - 63*n - 224. Calculate x(-10).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 5*u - 839830 + 839830.\nAnswer: 5*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) -1252.5 (c) 0.3 (d) 0.2 (e) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x - 1. Let c(i) = -7*i**2 - 10*i + 3. Let v(z) = -c(z) - 3*p(z). What is the second derivative of v(l) wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 14197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k - 2. Let c(x) = 2*x**2 - 5*x + 5. Let r(m) = -2*c(m) - 5*i(m). Let h(w) = 2*w**2. What is r(h(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(375\/27))\/((-3)\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 101?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 35*f - 57. Let s be z(-19). Suppose -9*k + 298 + 755 = s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.250939 times -16?\nAnswer: -36.015024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/3 + -1\/6. Suppose -65*a + 52*a = 26. Sort a, g, 0.5, 5 in descending order.\nAnswer: 5, 0.5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3973328 to the power of 1\/2, to the nearest integer?\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3\/11 - 57615462*o**2\/11 - 115230906*o\/11 - 57615450\/11.\nAnswer: -6*(o + 1)**2*(o + 9602575)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-7 + -9 + 21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -3. Suppose k - c*k = -14. Let n(b) = 2*b - 9. What is the units digit of n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7 and -38*3\/60 - 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u\/(u*u**2))\/u))\/u*u\/u**8*(u**(2\/7)\/u)**(-14\/3) assuming u is positive.\nAnswer: u**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*-9*(-14)\/3. Let u(z) = 149*z - 10*z + a*z - 3. Is u(1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:33 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*u**3 + 0*u**3 + 0*u**3)*(216*u + 160*u - 2 - 17*u) as k*u**3 + t + y*u**4 + j*u**2 + d*u and give y.\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 0*a)*(55*a + 112*a - 281*a).\nAnswer: -114*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-172) - (-20)\/(-430)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40908028597872208\/147815406943512195 - -20\/133183231243. Let n = 210\/3217 - s. Let b = 4\/69 + n. What is the nearest to 2\/3 in 3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-111)\/(-4)*(-88)\/(-33) - 2. Calculate the highest common divisor of 48 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + (-67 - -120) - (72 - 6).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9769819 rounded to 3 dps?\nAnswer: 1.977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 4*m**3 - 3*m**3 + (-7*m**2 + 4*m**2 + 4*m**2)*(3*m + 4*m + 0*m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**6*b))\/((b**(-6\/7)\/b)\/b)*(b\/b**1)**(2\/19))**(-11\/9))**(2\/61) assuming b is positive.\nAnswer: b**(484\/3843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*i + 1 = 5*v, 0 = 4*v + 2*i - 34. What is the highest common factor of 44 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.8214*-76.\nAnswer: 898.4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233331311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.28739l in millilitres?\nAnswer: 8287.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29\/5? (a) -15 (b) 2\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y + 12. Suppose -y*t = -4 + 36. Let g = 12 + t. Solve 25 = w - 4*m, w + 2*w + 5 = -g*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(0 + 2) + 1. Let v(k) = -11*k**2 - 7*k + 7. Let o(p) = -5*p**2 - 3*p + 3. Let j(w) = q*v(w) + 14*o(w). What is j(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1))\/n**7 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -295.49 - -176.94. Which is the biggest value? (a) 2\/11 (b) d (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.05, 1.63, -0.5, -45 in decreasing order.\nAnswer: 11, 1.63, 0.05, -0.5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 64067648.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/32, 0.1, -26\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -113578, -113676, -113824, -114010, -114222?\n\"Answer: 2*x**3 - 37*x**2 - x - 113542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 14 + 0*d**3 + d**3 + d**3 to the form r*d + g*d**2 + u*d**3 + f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6362, 6424, 6486, 6548, 6610, 6672?\n\"Answer: 62*s + 6300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.376 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5 - w**3 + 5*w**2 - 5*w**3 + 0. Let z(n) = n**3 - 3*n + 9. Let p be z(4). Let i = 56 - p. Let a(d) = -5*d**3 + 4*d**2 + 4. What is i*a(q) + 4*g(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 28 = 40*t - 43*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 19. Let z = 73 + -77. Which is the second smallest value? (a) 3\/5 (b) x (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11561269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13219468 to the power of 1\/2, to the nearest integer?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (1\/(-8))\/(11\/(-66)) + (-42603)\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908267 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -42, -39, -32?\n\"Answer: 2*n**2 - 7*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 12:48 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 65*b - 3*b**2 + 65*b - 11 in the form m + f*b + d*b**3 + v*b**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3775597 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 528068000 rounded to the nearest one million?\nAnswer: 528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284 - 177 + 10*i - i)*(-1 + 1 + 5).\nAnswer: 45*i + 535","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 377?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-30))\/((-6492)\/(-432) + -15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 13. Suppose 0*c = -c - 3. Let b be 8\/6*c\/2. Put b, -1, z in ascending order.\nAnswer: z, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/24 - 7*x**3\/6 + 20*x**2. Let h be o(-7). Solve z + h*z - 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14546 (base 7) to base 11.\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8)*4\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 10*u + 9*u. Let p(a) = -2*a**2. What is t(p(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45227907 divided by -33727.\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -10122100121121022?\nAnswer: -10122100121121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - (0 - (0 + 1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2731, 5568, 8403, 11236?\n\"Answer: -a**2 + 2840*a - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/2 + 367659*j**2\/2 - 735327*j\/2 + 367665\/2.\nAnswer: 3*(j - 1)**2*(j + 122555)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.1837111.\nAnswer: 0.7348444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let x be b(3). Suppose x*i - 4*i + 2 = 0. What is the units digit of i\/4 + 5\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/3 - 42611*g**2 + 272324768*g + 1144014592\/3.\nAnswer: (g - 12784)**2*(5*g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = -4*u, 3*i - 11 = 2*u + 4. Let n(z) = -7*z - 59. Let c be n(u). Solve k = 4*m + 16, c*k + m - 17 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - w**3 - 3*w**2 - w**3 + w**3 + 2*w**3 + (1 - 1 + w**2)*(0*w - 2*w + 3*w) + 209*w**3 - 19963*w + 19963*w as o + f*w**3 + p*w**2 + u*w and give f.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiegeyee. Give prob of picking 1 i and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-401)\/1604)\/(2\/344).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -9414 (c) -0.1 (d) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.01 - 162.01. Let z = g - -159.1. Which is the nearest to -2? (a) 1 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzpzzpzzpzzzzzzz.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 643, 1443, 2563?\nAnswer: 4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2228 - 631 + 1336)*(l - 4 + 4) + (4 - 4 - l)*(-1 - 5 + 4))*(2 + 0 - 4).\nAnswer: 3042*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 57 = 5*p, -2*p + 15 = -4*h - 87 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 420*b + 33500.\nAnswer: -5*(b - 50)*(b + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 36*t + 172. Let v be p(-31). Solve 0 = 4*d + 3*g - v, 4*d + 0*d + g - 11 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 27. Let w(c) = -4*c**2 - 7*c. Calculate o(w(d)).\nAnswer: -4*d**2 - 7*d + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:45 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 917*n - 182498. Calculate z(-625).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*b - 30, 4 = c - 5*b - 18. Suppose c = f - 4. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose -16 = -2*w - a*w. Let q = 13 - 5. Solve -w*c + 0 = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/17 - 5378*s**4\/17 + 124470*s**3\/17 - 764350*s**2\/17 + 1176812*s\/17 - 531552\/17 = 0?\nAnswer: -2712, 1, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/8418 and 43\/549.\nAnswer: 25254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3*w**4 + 5*t**3*w - 6*t**3 + 218*t*w**4 + 6*w wrt w.\nAnswer: -12*t**3*w**2 + 2616*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 24*n - 132 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1. Let k(v) = 3*v + 7. Let f be k(-3). Let y(c) = -3*c - 1. What is f*j(q) + y(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238512874?\nAnswer: 2, 47, 193, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 15. Is 14 a factor of j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (6 - (-2 - 3 - -14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 3467638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 346 + -611. Let d = -121 - a. Suppose 0 = 3*q - 4*r - 176, -d = -5*q + 2*r + 140. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548 divided by -6?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4932 divided by 1644\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -80. Suppose a*o - 25 = -23. Solve 3*v = o + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -259, -1, -8, 3, -5, -67 in decreasing order.\nAnswer: 5, 3, -1, -5, -8, -67, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -37*l + 33*l + m, -8*l + 3*l - m = 29 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcs when three letters picked without replacement from {c: 7, m: 1, h: 8, s: 2, v: 2}.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.29 * -0.3.\nAnswer: 6.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k**2 + 0*k)*(1 + 1 - 1)*(-823*k - 161678 + 161678).\nAnswer: -2469*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwv. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*z + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f**2 + f**2)*(-3 + 5 + 0) + (-2 - 2 + 22)*(f + 1 - 1)*(-3 + 6 + 4*f - f).\nAnswer: 50*f**2 + 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let p(s) = -s + s - 3*s**t. Let r(h) = h**2 - 3*h**2 + 408 + h**2 - 408. What is p(r(j))?\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 3*u**2 + 3. Let b(v) = -2*v**3 - v**2 - 2. Let m(h) = -4*h**3 - 3*h**2 - 4. Let t(r) = 7*b(r) - 3*m(r). Give -2*j(g) - 3*t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k**2 + 230*k + 825 = 0.\nAnswer: -3, 55\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let q(j) = -95*j - 3. Let i(l) = 141*l + 4. Let o(t) = 5*i(t) + 7*q(t). What is the units digit of o(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147500925 divided by 663?\nAnswer: -222475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -503, -538, -587, -650?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552098.8ug in milligrams?\nAnswer: 552.0988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 56, 88, 134, 200, 292, 416, 578?\n\"Answer: u**3 - 2*u**2 + 23*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -3*d**2 + 1\/6*d**4 - 1 + 0*d**3 + 11*d. Let j(s) = -1. Give 5*j(b) - w(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i**3 - 11*i**2 - 3497*i - 6945. What is o(-2)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 741.625.\nAnswer: 20765.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*j + 12 = -2*z - 131*j, 5*j = 2*z - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:45 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146040 - -54846. What is x rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -20. Suppose -g*c + 2 = -3. Solve -4*t = -5 + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 not equal to -652142317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 1 + 1)*(4 - 2 + 0) - 669 - 1343 - 4489 + 4*b to the form d*b + x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/13 + 17970*m**2\/13 - 53820150*m\/13 + 53730449750\/13 = 0.\nAnswer: 2995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/9 - 227420*k\/9 + 227416\/9.\nAnswer: 4*(k - 56854)*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2918, 5809, 8670, 11501, 14302, 17073, 19814?\nAnswer: 22525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-12)\/4) + -5 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -85 - 5. Suppose 0*m = q*m - 18. Sort 1, 7, 5, m in decreasing order.\nAnswer: 7, 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*s + 18916 + 9506 = 0, 2*s - 71061 = -5*c. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2*d - 4*d**4 - 423*d**2 + 851*d**2 - 427*d**2 + 2*d**4 as w + l*d + i*d**2 + k*d**4 + g*d**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -14 + (-140)\/(-5). Suppose -4*m + 186 = -2*s, -s - 120 = -3*m + i. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -540*(-12)\/12240*4\/(-6).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:26 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus -20108659417?\nAnswer: 20108659406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 2*l**2 + 3. Let q be i(2). Suppose m = -q*m + 2*m. Suppose -c - 12*c + 1664 = m. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 228?\nAnswer: -4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -5*n + n, -5*x = -4*n + 4. Suppose 90 = -176*c + 186*c. Solve 15*s + c + n = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3)\/(24\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 0.4 (b) -9 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6698307535?\nAnswer: 5, 107, 12520201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*v**5 - 51*v wrt v?\nAnswer: -9560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*z**2 - 252*z - 248*z + 261*z - 277*z - 31*z**4 - 114*z wrt z.\nAnswer: -372*z**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1481 + 26177 = 21*m. Let s(p) = -m*p + 28*p**2 + 1176*p. Let l(d) be the first derivative of -d**2 + 1. Give s(l(c)).\nAnswer: 112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*f + 0)*(-1 - 2 + 4)*(-21 + 21 - 2*f) as x + t*f**2 + i*f and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*j**2 - 344*j**2 + 0 - 309*j**2 - 2 + 2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -895232 (base 12) in base 4?\nAnswer: -20111300012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367404 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -80. What is the closest to u in -1\/7, -4, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -3\/8, 1\/206.\nAnswer: -5, -3\/8, 1\/206, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9245 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 15 - 3. Let c be (3 + 21\/(-9))*-9. Calculate the remainder when y is divided by 63\/c*6\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5096 divided by 104?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(28))\/sqrt(4) - sqrt(175)*4 - (3 + 4 + ((sqrt(21)\/sqrt(3))**2 - sqrt(7))*-6)) + 4.\nAnswer: -29*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -33 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (67\/165 + (-126)\/462)*1. What is the nearest to 0.4 in i, 4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 276*i + 51332. Calculate c(-185).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 1009, 1828, 3023, 4720, 7045, 10124?\nAnswer: 14083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133897997.\nAnswer: 19, 7047263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -1, 2\/13, 0.1103, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744 is divided by 193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/23, 1, -12, -0.1, 5 in increasing order.\nAnswer: -12, -0.1, 6\/23, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174318166, 174318168, 174318170, 174318172, 174318174, 174318176?\nAnswer: 174318178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x + 2. Let t be z(0). List the prime factors of (-117)\/(-26)*t\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -3373\/25. Let x(d) = -2*d**2 - 6*d - 5. Let w be x(-2). Is m less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*w + 20, 3*x - 2*w + w = 3. Let k = -3 + 3.5. Sort x, -2, k in decreasing order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*s**2 + 5*s - 1624 wrt s.\nAnswer: 32*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.133, 433.\nAnswer: -10, 0.133, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*l = 130*l - 116*l - 59044 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 141, -0.05, -8, 14345?\nAnswer: 14345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 183. Solve -9*u + f = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1055232 divided by -96.\nAnswer: 10992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3084*n - 21 = 3081*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -l + 6*l + 9, -l = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 - 8 = 0. Suppose 0 = h + 2*h - l. Solve 4*a = -h - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -817*y - 8627. What is the lowest common multiple of 1170 and r(-11)?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0 (c) -354 (d) 1 (e) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 33*h**3 - h**2\/2 - h + 42. Calculate the remainder when v(-1) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 3, -17, -55, -117?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -73, -81, -91?\n\"Answer: -u**2 - 3*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**11\/83160 + j**10\/37800 - j**5\/12 + 8*j**2. Let x(m) be the third derivative of k(m). Solve x(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3690341.112832 - 3690164. Let b = v - 163.11283248. Let m = 14 - b. What is m rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -39, -49, -57, -63, -67?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2 + 3 - m + 0 - 4. Determine v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) + 795\/20. Is 8896\/u + (-6)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491, -4499, -15407, -36689, -71819, -124271, -197519?\nAnswer: -295037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220320 divided by -68?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/36 + 0 + -2. Which is the second smallest value? (a) 2 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 15*d**2 - 29*d - 35. Let h be p(-13). Suppose -h*r + 2630 = -3314. List the prime factors of r.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 584 by 146.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*o = 2850, 257*o = 259*o - 12. Calculate the remainder when y is divided by 159.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 25*q**2 + 51*q + 47. Let p be z(3). Solve 51*a - 48*a + p*o - 10 = 0, 3*a + 10 = 2*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*b - 1638, -6*b = 3*a - 3*b - 1644. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 162614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 2. Put f, 2, -5, 4 in descending order.\nAnswer: 4, 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 558 - 545. Let o = 14 - 25. Let z = o + w. What is the second biggest value in 2\/17, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6873, 54947, 185459, 439635, 858701, 1483883, 2356407?\n\"Answer: 6871*f**3 - 7*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 7*x - 166 = -199, -x - 8 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6116 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: Let x = -212.7 - -240. What is x rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 4*z + 630 + 22 = m. Let s = z + 1792\/11. Which is the biggest value? (a) 1\/4 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4693 = -14*b + 14241. What are the prime factors of b?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiqc when four letters picked without replacement from {m: 1, k: 1, i: 8, q: 2, e: 1, c: 3}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/6)\/p**(5\/7)*(p\/p**(3\/10))**(-28) assuming p is positive.\nAnswer: p**(-4231\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*z + 820*z + 49 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46554681400 rounded to the nearest 1000000?\nAnswer: -46555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4, 5, 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -12 + 9 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/85 + -49\/1020. Find the common denominator of 65\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -124.\nAnswer: -124, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32320 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = -3*j. Let z be (0\/j - 1) + 3. Suppose -z*u + 0 + 2 = 0. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 1. Let n(k) be the third derivative of k**4\/12 - k**3\/3 - 1842*k**2. What is 3*b(p) - 4*n(p)?\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -12.4, -13, -5\/4, 8\/9?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 529234102\/7 or 75604872?\nAnswer: 75604872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12089184?\nAnswer: 2, 3, 125929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33529987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71094244, 71094245, 71094246?\n\"Answer: a + 71094243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677041, -3354054, -5031067?\nAnswer: -6708080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + z**3 + 4 + (4*z - 2*z + 0*z)*(7*z**2 - z**2 - 3*z**2).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374 divided by 10.\nAnswer: 687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18002 + 18041. Let q be 606\/4*8\/30. Do q and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/(-3) + 2. Suppose k*x - 2*x = 2. Which is the nearest to 2? (a) -0.3 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 65 = -28*h + 2 + 26, 0 = 2*o + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 11729278.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 1, -1 in decreasing order.\nAnswer: 1, -1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 2) + 158)*2. Suppose 3*d - 12 = -0*d, -4*d - a = -4*u. Suppose -3*x = -s + u, 0 = 4*x - 8. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 4*c - c)*(-6576 + 2*c + 6706 + 0*c) as z + b*c**2 + o*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.186*-360\nAnswer: 66.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -797\/3 - -265. Sort 1.2, v, 4 in increasing order.\nAnswer: v, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2044*a + 41262. Calculate h(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i - 3. Let w(a) = -a. Give -4*m(t) - 44*w(t).\nAnswer: -8*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 641954 * -2.7\nAnswer: -1733275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*3*(-4)\/(-126).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166858?\nAnswer: 2, 19, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4211, -3986, -3487, -2708, -1643, -286?\n\"Answer: b**3 + 131*b**2 - 175*b - 4168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1077, 8636, 29153, 69108, 134981?\n\"Answer: 1080*q**3 - q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, q: 1, y: 1, g: 1}. What is prob of picking 1 q and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n + 103. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1818, -3, 12, 0.\nAnswer: -1818, -3, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1 - 1) + 0. Let m be u + 57 - (2 + -1). Suppose -v - 52 = -4*x, 2*v + m = -0*x + 4*x. Calculate the least common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 6. What is o(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7314, 2, -4, -5.\nAnswer: -7314, -5, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 148645 = -6*h - 242606. What are the prime factors of h?\nAnswer: 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-18) - (0 - -1). Suppose t + 5 = -3*z + 2, -5*z = -2*t + 16. Suppose -3*k - 3 = -t*h, k + 7 = 3*h - 4*k. Do h and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(567)*1 + -2 - (-1 + (sqrt(567) - -1*sqrt(567)) + sqrt(567) + (1 + sqrt(567))*-1))*-5)**2.\nAnswer: 12757500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/9 - 61226*p\/9 + 673244\/9 = 0. What is p?\nAnswer: 11, 30602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let p(t) = -1. Let g(v) = 4*v - 2. Let a(y) = 5*y - 1. Let c(h) = -3*a(h) + 4*g(h). Calculate d*c(u) - 5*p(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 12*j - 11. What is g(5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b**2 - 8. Let r(i) = -5*i**2 + 2. Let w = -15 + 9. Let u(j) = w*f(j) - 26*r(j). Differentiate u(m) wrt m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let a be o(-3). Let y = a + 0. Suppose 5*u = -0*j + j + 14, 0 = -y*u + 3*j + 20. Let v(n) = n**3 - 2*n**2 - n - 1. Give v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-356)\/(-13))\/((-236)\/(-1534)) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 10. Let w be 16\/5 + x\/(-45). Suppose 7*v - 85 = -5*r + 4*v, -1 = r - w*v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 + -1)\/(36\/(-126))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in -2\/7, 4, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17+14.4108\nAnswer: 31.4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19408.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 0 in increasing order.\nAnswer: -4, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 734366653120.\nAnswer: -734366653119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89\/(-4))\/(11\/3*1506\/22088)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = l - 34. Let v(i) = i**3 - 10*i**2 - 16*i - 269. Let q be v(13). Calculate the greatest common factor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1112 and -119\/13788.\nAnswer: 3833064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -14 + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 45. Let n be -4 + -3 + i + -4. Is n < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -29. Suppose 2*y - 3*q - 2*q + a = 0, 2*q = -3*y + 14. Suppose -y*s = -0*s - 12. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**3 - 2*i**4 - 3*i**3)*(42 + 15 + 19) to u*i**2 + w*i**4 + z*i + o*i**3 + d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6950?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2884*h - 2884*h + 3*j = -3, 4*h = -2*j + 158 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 7. Let a(r) = -1. Let l(i) = -6*a(i) + w(i). Let x(t) = t. What is l(n) + 3*x(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqlbllblblqb. What is prob of picking 1 q and 2 b?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 2. Suppose 2 + 4 = 2*j. Suppose i = j, 4*v = -i - 2*i + 5. Let d(u) = 4*u - 2. Let f be d(v). Calculate w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273*w**3 + 28*w + 5 wrt w.\nAnswer: -1638*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1734 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let m(j) be the second derivative of j**4\/2 - j**3\/3 + j**2\/2 + 228*j + 3. Calculate m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 - 4)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334337.\nAnswer: 367, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 13 + 9. Let z = r + 27. Suppose 2*w + 4*d + 16 - 70 = 0, -135 = -z*w + d. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-225)\/35 - -3)\/((-9)\/42). Solve 0 = -78*i + 62*i - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + o**4 - 3 + 37*o + 161*o**3 - 36*o in the form w*o**4 + k + h*o**2 + s*o**3 + v*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*z = 5*z + 4622 - 870. Solve 5*q - 48 = -4*m - z, -4*q = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -824, -1821, -3198, -4949, -7068, -9549?\nAnswer: -12386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-20))**(2\/143)*l**(2\/51)\/l*l**(-10\/7) assuming l is positive.\nAnswer: l**(-135545\/51051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 6 = 2*h, 124*h - 12 = y + 128*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*v = 1640*v - 3286*v + 286 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235016621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21392 or 21391?\nAnswer: 21392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68749 - 79353 = -2943*p + 326*p - 30337 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.0247 to one decimal place.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 448164.\nAnswer: 1344492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 40*s\/3.\nAnswer: 2*s*(s - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 145, 152?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4602766882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28370143.\nAnswer: 28370143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41650 + -14132. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 1 - (-53 + 37 + 5) - 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -82*x**3 + 10*x**2 - 26*x - 4315. Let a(p) = -122*p**3 + 14*p**2 - 40*p - 6472. Let t(y) = -5*a(y) + 7*r(y). What is the derivative of t(b) wrt b?\nAnswer: 108*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3479*d**2*v**2 - 8*d*v**2 - 8*d - 7*v**2 wrt d.\nAnswer: 6958*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7*i**4\/24 - i**3\/6 - 31*i**2. Suppose 17*x - 23*x = -18. Give c(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 526.\nAnswer: 525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.3. Let m = -299\/3 - -98. Which is the nearest to 4? (a) s (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -16. Suppose 0*y - 1537 = -5*k - 4*y, r*k - y - 1238 = 0. Let h be 4\/14 - k\/(-21). Calculate the greatest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -513, -775, -1041, -1311, -1585?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 314 and 516267.\nAnswer: 516581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 709.2534 minutes?\nAnswer: 11.82089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.34, -13 in decreasing order.\nAnswer: -0.34, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from bbbbbgegkbbsbkkggbs?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -2\/11, -1250, -2\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234346 and 95494.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Differentiate -o**2 + b*o**2 - 5*o**2 + o**2 - 1 with respect to o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 - (-86020)\/(-425) - -99.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*u + 27, -u = -3*u - 2*s + 34. Let r = -14 + u. Suppose o = 5*o - 12. Calculate the remainder when o is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**2\/w))**(-14\/9)*w**(4\/5)*w\/w**(-3\/5))**(-2\/135))**44 assuming w is positive.\nAnswer: w**(-352\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*i = -9775 + 34801 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p - 2*p**2 + 2*p + 2*p**2 + 37 - p**2. Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8690 divided by 1738\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 7*t = -w + 17, w + 5*t - 4 + 8 = -13 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1162 = -4*n, 4*a + 1168 = -4*n - 0*a. Let u = -64 - n. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 127.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -4*l. Let j be (-2)\/6*(l + 0). Let y(d) = -d**3 - d - 2. Let s be y(0). Put j, s, -5 in descending order.\nAnswer: j, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-11)*q\/(q**9\/q)*q**(-9)\/(q**(1\/3)*q) assuming q is positive.\nAnswer: q**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -201240801 and -374.5?\nAnswer: 201240426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 + -160. Let c = f + -44. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**2 - 8*t - 1. Let o be g(-1). Let w be -10*o\/12*2. Let r(l) = l - 9. Let x be r(6). Sort w, 10, x in decreasing order.\nAnswer: 10, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 17*v + 38. Calculate q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 505640 + -23?\nAnswer: 505614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 10, 0.534, 0.5, -4 in ascending order.\nAnswer: -4, 2\/21, 0.5, 0.534, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (638 + 45*d - 638)*(-30 + 191 - 370 + 3 - 2 - 3 + (0 + 2 - 1)*(1 + 2 - 5)) in the form c*d + v and give c.\nAnswer: -9585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16455 is divided by 645.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 51*r**2 + 22*r + 81. Let j be f(25). Solve 15*k - 3 = 2*z + 10*k, -z - 2*k = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/x**(-23)*x))**(-34)*x*x**(14\/5)*x**4 assuming x is positive.\nAnswer: x**(4119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-4)\/(-16)*0. Let l be -364001 - 0\/(-5 - i). Let o be l\/(-2) + (-17)\/34. What is o rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5683.588l to millilitres.\nAnswer: 5683588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + -2 + (40 - 46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 94. Let u = 39 - o. Which is the second biggest value? (a) u (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-24)*3)\/((-1)\/(-829 + -3)). Does o = -417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 93 - 84 = -15. Suppose 2*c + 10 = 4*c. What is the common denominator of -19\/4 and q\/56 - c\/10*-4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 4 = -9*s - 1043*q + 1045*q, 4*q = 4*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 22 (b) 9 (c) -3\/4 (d) -235 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 + 7)*(-2*n + 3*n + 0*n) - 5*n - 2*n + 2*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - 2*d - d**3 + d**2 + 1 + 3. Calculate the common denominator of 245\/(-15)*6\/(-8) and x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 + 59840*l\/3 + 19947 = 0. What is l?\nAnswer: -1, 59841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/40320 + z**7\/2016 + z**6\/360 + 7*z**5\/20 + 13*z**2 - 2. Let q(x) be the third derivative of g(x). Factor q(a).\nAnswer: (a + 1)*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622109921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 493*v + 20081. Determine w(-36).\nAnswer: 2333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 801 and 2409.\nAnswer: 643203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489125, -489219, -489313, -489407, -489501?\nAnswer: -489595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -140222?\nAnswer: 140231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(2\/35)*j**(4\/7)*j**(-5)*j*(j**(-1)*j)**(4\/13)\/(j**(3\/8)*j\/j**(-2\/15)) assuming j is positive.\nAnswer: j**(-4051\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*p - 76 + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1932459, 3864926, 5797395, 7729866, 9662339, 11594814?\n\"Answer: v**2 + 1932464*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-1)\/(2 - 1). Calculate the remainder when ((-5)\/(-2))\/p*60 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*f - 2\/9*f**3 - 8\/3 + 2\/3*f**2.\nAnswer: -2*(f - 3)*(f - 2)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24003, -48007, -72011?\n\"Answer: -24004*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -763\nAnswer: 30.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 16) to base 15\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c97 - -2?\nAnswer: c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490)*2 + sqrt(50)\/sqrt(5)*-4)*6)\/((-5*sqrt(15)*-2)\/(-2*sqrt(192) + sqrt(3))).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -8) + (14 - (-13 + -13 + (7 - -75)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 1 - 8 = 0. Suppose 6 = -3*d + 5*d. Which is the third smallest value? (a) o (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/3*12\/40*5. Let g(l) = -l**3 - 5*l**2 + 17*l + 5. Let x be g(n). Which is smaller: 60 or x?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 1. Let b(m) = -m**3 - 6*m**2 - m + 19. Give b(h) - 4*t(h).\nAnswer: -h**3 - 2*h**2 - h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -654, -0.4, 2, 2\/3, 0.3 in descending order.\nAnswer: 2, 2\/3, 0.3, -0.4, -95, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 7, 17, 21, 13, -13?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -18*z**5\/25 - 61*z**4\/10 - 116*z**3\/15 + 32*z**2 - 64*z\/5 - 129. What is s in x(s) = 0?\nAnswer: -4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1035 and 33?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(20)\/sqrt(2)) + sqrt(20))\/(-2*sqrt(4)*-1) + 0 + sqrt(5) + -2 + sqrt(5) + sqrt(5) + 0 + 3 + -4)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*m + 1 - 1 + 189*m + 2 to z + g*m and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1543*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 - 3*r**2 + 44 + (4*r - 5*r + 0*r)*(-4 + 4 - r) + 0*r**2 + r**2 - 6*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85421*n**5 - 11*n**4 + n**2 + 35*n - 2708 wrt n?\nAnswer: 5125260*n**2 - 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -43\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5072.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c + 1)*(-3732*c**3 + 17*c**2 + 4454*c**3 - 10*c**2).\nAnswer: 722*c**4 + 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f - 326 = 1091 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 47. Solve -t - n = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63762 and 48?\nAnswer: 510096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 124 = -k, 0 = -5*k - 123*p - 2054 - 2984 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.99999706 + -46. What is g rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -2953 in decreasing order.\nAnswer: 8, 0, -2953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6) + (14\/6)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-2858.069\nAnswer: -743.09794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 1. Let x(b) = -42*b + 62. Let w(d) = -3*p(d) - x(d). What is the first derivative of w(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -713aa (base 12) to base 8.\nAnswer: -437762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzze when four letters picked without replacement from {a: 1, p: 2, e: 1, x: 2, l: 4, z: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t + 0*t)*(16*t + 3*t**2 - 16*t) + t**4 + 4*t**4 - 4*t**4 + (2*t**3 + 2*t**3 - 5*t**3)*(0*t + 3*t + 0*t).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(1\/4)*a))\/a*a)**(1\/69)*(a*a**(-4))\/(a\/a**(-4)))**32 assuming a is positive.\nAnswer: a**(-5880\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82379503\/13860 + 106985\/18. What is the common denominator of -19\/352 and a?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 16325?\nAnswer: -81625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117192?\nAnswer: 2, 3, 13, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3 + 9. Let l(t) be the third derivative of t**4\/24 + t**3\/3 - 5*t**2. Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26455, -51473, -75055, -97201, -117911, -137185, -155023?\n\"Answer: 718*w**2 - 27172*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179742 is divided by 229?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3836, -9132, -14428, -19724, -25020, -30316?\n\"Answer: -5296*q + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, -0.3, -5, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1125 - -1125.3. What is the second smallest value in 9, -4, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) -3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -q + 5*n + 10, q - 5*n - 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2\/2 + 3. Let n(u) = -2 - 2*u + 1 + 1. Determine n(p(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/18)\/(-7))\/(4\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 9*t - 5. Calculate the greatest common divisor of 11 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10 = z. Suppose -3*o - 4*x = -20, -5*o = -2*x - z*x + 20. Suppose 3*j - 515 - 244 = o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3165 by 5.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/4 + 15*i**3\/2 - 8*i**2 - 15*i\/2 + 31\/4 = 0.\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*v - 22 = q, q = 5*v + 37. Let m be (-3 + 1)\/((-4)\/(-6)). Let l = q + m. Solve 21 + l = 3*k + 5*p, 0 = -5*k + 3*p + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -0.0335.\nAnswer: -0.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:38 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (8 - ((9 - (-7 - -8)) + -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 2 + 2 + (3*o - 4*o + 2*o)*(19 + 18 - 27) in the form t*o + g and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -37\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*u + 18, 2*x + 10 - 28 + 6 = -4*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25191*u - 2562 = 25313*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -45472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -34. Suppose w + 5*m = 181, -s*w + 2*m = -442 - 326. Suppose -3*o + 313 = -w. Is o a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/15 and -89\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1651 + -1650.9999319. What is s rounded to 6 dps?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112)\/sqrt(100))\/(sqrt(36)\/(-3*sqrt(9))))**2.\nAnswer: 567\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 3*d, -2*d = -d + 3*q + 4. Let p be ((-171)\/(-24) - d) + 2\/(-16). Let w = 36 + -35.1. What is the third smallest value in p, 0.4, w, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010100 (base 3) in base 6?\nAnswer: -1231313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*r**5 + 726982*r**4 + 5520537*r**3 + 9255082*r**2 - 4631648*r + 434208 = 0 for r.\nAnswer: -4, 3\/23, 2\/7, 4523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2437.21262 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w - 26 - 237*w**3 - 108 - 345*w**3 - 550*w**3 - 783*w**3 wrt w?\nAnswer: -11490*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, 3, 46 in decreasing order.\nAnswer: 322, 46, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-966*y - 63 + 1738*y - 924*y)*(1 + 1 + 0*y - 2*y + (0 - 1 + 0)*(y + 2 - 2)) in the form x*y + i*y**2 + c and give x.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*g + 20 = 0, -166*g + 165*g = -2*m + 5. Solve m*n = -7*x + 5*x + 5, -5*x - 5*n = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249\/4 + -63. Let w = -60 - -59.6. Sort w, b, 1\/2 in decreasing order.\nAnswer: 1\/2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 11*u + 5*u - 8*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.005, 2\/9, -3, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/9, 0.005, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(6\/(-2)*(-84)\/336)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3941456 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 172 = -2*p, 6*w - 674 = 4*p - 3*p - 624 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 110.66.\nAnswer: -331.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*f**2 - 4272*f + 4272*f.\nAnswer: -425*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 0)\/3*-1. Let d(c) = -7*c**3 - 1. Let r be d(-1). Let k be (-2)\/r + (-3)\/(-27). Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3 + 93*h - 57?\nAnswer: 3*h**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 678, 8, 1\/5, -1\/6, -3\/2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((184\/828)\/(3\/18))\/(5\/(-1))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 2*c + 8. Let f be a(6). Let t = 109 + f. Is 21 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 8*g - 2*g - 3*g. Let w(t) be the second derivative of -t + 0*t**3 + 0*t**2 - 68 - 1\/2*t**4. Calculate p(w(l)).\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6264 divided by 54\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 39*w + 1337. What is the remainder when g(22) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -21. Let i(d) = 6*d + 4. Let x be i(-2). Let s be r\/(4\/x*1). Which is the smallest value? (a) s (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3284 + 41b?\nAnswer: -2c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3352602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 554 and -1?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/20205 and 12\/25?\nAnswer: 101025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 141\/5?\nAnswer: 141\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 279ff?\nAnswer: 27a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + 0*z)*(3*z - 2*z - 2*z) + 9*z**2 + 5*z**2 + 3*z**2 - 2*z + 2*z - 3*z**2 + 0*z**2 + z**2 + 2*z**2 + (-z**2 - z**2 + 3*z**2)*(-5 + 2 + 1).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-17)\/((-1020)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.671701 decades in months?\nAnswer: 560.60412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5690940?\nAnswer: 2, 3, 5, 94849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 1509, 3480, 6241, 9792?\nAnswer: 14133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 9. Suppose 3*u - 3*n = -u - 18, -2*n = 5*u + 11. Let b(x) = x - 3. Give u*c(f) - 8*b(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25589326, -51178645, -76767964, -102357283?\nAnswer: -127946602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 + 213. Suppose 0 = -4*q + 2*f + 54, -l*q + 2*f = -4*q + 11. Is 13 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 12) to base 14\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3522734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -22 - 8*l + 1\/3*l**3 + 3\/2*l**2. Calculate d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 2. Let w(f) be the second derivative of -4*f**3\/3 + f**2\/2 - 273*f + 3. Determine -6*a(k) - 7*w(k).\nAnswer: 8*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1987 - 1913. Is 111 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 97. Give g(20).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 538 - 512. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-29)\/n)**(2\/69) assuming n is positive.\nAnswer: n**(-20\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*y**2 - 24*y**2 + 2*y**3 - 16*y**2 + (1 - 2*y**2 - 1)*(3 - 2*y - 3) + 2*y**3 + 4*y**3 - 5*y**3 + y**3 + 2 - 2.\nAnswer: 8*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11111100?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8724*v**3 + 1026*v**2 wrt v.\nAnswer: -52344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 599 (b) -5 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:53 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 + -2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 - 0.5. Let o = 1.2 + r. Let a = 0.1 - 0.1. What is the biggest value in o, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 26 = -3*g, -5215*q = 4*g - 5214*q - 39 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090863275 divided by 1.\nAnswer: -1090863275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -110 - 226. Let b be a\/(-108) + (-2)\/(-9). Suppose -5*r - 11 + 31 = 0. Sort 2, r, b.\nAnswer: b, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27724*l**5 - 125*l**3 - 327716143*l**2?\nAnswer: -1663440*l**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1599*y**2 + 8249238*y - 15477.\nAnswer: 3*(y + 5159)*(533*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*p - 1 + 3 - 66*p**3 - 40*p - 49*p + p**4 in the form j + i*p**4 + c*p + v*p**3 + o*p**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90548.68 nanoseconds in milliseconds?\nAnswer: 0.09054868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242*p**3 + 7081*p**2 - 1559599 wrt p.\nAnswer: -726*p**2 + 14162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330862 is divided by 91.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-10\/9)*s)*s**(-1\/30))**(-10\/3) assuming s is positive.\nAnswer: s**(-187\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-99))\/8)\/((-9)\/((-198)\/4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2*d**2 + 25. Let r(n) = n**2. Determine b(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5 = -q, 13*q + 371*u - 83 = 8*q + 364*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63537301.\nAnswer: 53, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -5 - -3 - -80. Suppose -4*y - n - 62 = 0, -5*y - b = -n - n. Let l(s) = -s - 16. Let g be l(y). Is g greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 6*v + 36, 97*v = 95*v - 5*q + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose 103 = 5*o + 4*r, -r = -o - c*r + 20. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v - 8. Suppose -56 = 8*f + 24. Let x be o(f). Which is bigger: -130 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 278115 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a6 (base 12) in base 10?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -1) + -52 + (42 - 31)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 11*c**2 - 10*c - 14. Let m be d(13). Suppose -388 = -6*w + m. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n**2 + 2*n + 15. Let u be j(0). Solve -t = s + 3*t + u, 4*s + 4*t = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.160551 + -0.5.\nAnswer: -2.660551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17055664 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*f + 37*f - 266 = 79*f + 602 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7502.342906 rounded to 0 decimal places?\nAnswer: -7502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4301 (base 7) to base 3\nAnswer: 2002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1008320 and -0.0286616.\nAnswer: -1008320.0286616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0.3, -0.07 in decreasing order.\nAnswer: 4, 1, 0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465761 = -33120*k - 4469119 for k.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.83271 + -0.04729. Round s to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689707228 to the nearest integer?\nAnswer: 41106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/159 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1020681809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 42*o + 158. Let x(b) = b**3 + 47*b**2 + 2*b + 118. Let m be x(-47). What is the hundreds digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54437 is divided by 54427?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1174265961 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j\/j**(-11)*j))\/(j**(-2)*j))**(3\/10) assuming j is positive.\nAnswer: j**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2004*f**2*h**2 + 50869*f**2*h - 4876*h**2 - h - 13759 wrt f?\nAnswer: -4008*f*h**2 + 101738*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1907*c + 470*c + 2105*c + 3106*c - 221*c to the form q*c + b and give q.\nAnswer: 7367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - n + 9, -5*x + x + 2*n - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/12 + w**3\/2 + 7*w**2. Let j(f) = -1. Let o(m) = -c(m) - 3*j(m). Let h(a) = -5*a + a - 2*a. Calculate h(o(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(44)\/(sqrt(44)\/sqrt(4))) + -1)*-2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:17 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 - 11*s - 5. Suppose 6*y = 2*y + 16. Suppose -y*i - 37 = 3. Let b be p(i). Solve -b*c + h = 2 + 1, 0 = c - h + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 - 0.05. Let z = -0.2 - 0. Let g = n + z. Which is the second smallest value? (a) 2\/5 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 - v + 2. Determine t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -3cc453?\nAnswer: 3cc44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*r + 4 = 0, r + 5 = -5*f - r. Let o(v) = -7*v + 12. Let w(n) = -1. Let k(a) = f*o(a) - 6*w(a). Differentiate k(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**(-9)*d**(-4)\/(d*d**(5\/2)*d))\/(((d\/d**(-6))\/(d\/d**(-9)))\/(((d*d**(-2\/5))\/d)\/d*d*d)**(-3)) assuming d is positive.\nAnswer: d**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.76*-0.194\nAnswer: -0.14744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*g + 44*g + 23*g + 17*g)*(-1803 + 679*g**2 + 1803) to the form b*g**2 + o + y*g + j*g**3 and give j.\nAnswer: 38024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41971 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - m**2 + 99*m**3 - 240.\nAnswer: 99*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17435431 is divided by 1061.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 5*w**4 + w**4 + (0*w + 0*w - 2*w)*(5*w**3 - 4*w**3 - 10*w**3).\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*s**3 - 92*s**3 - 7*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrgeoeqq. What is prob of sequence dr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -42333101225?\nAnswer: 42333101225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 2458 = 45*w. Let f = w - 505. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17695739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - v - 1. Let c be 1\/(-1*3\/6). What are the prime factors of m(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25848, -25849, -25850, -25851, -25852?\nAnswer: -25853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 375 = -4*h + 184. Solve -o - y - 8 = h, -3*o + 100 = -5*y + 76 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 14. Let p be v(5). Solve -p*i = -3*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9 + 16*t - 22*t + 4*t**2 - 5*t**2. Let l be i(-7). Suppose -p - p - l*y = -4, 3*y - 6 = p. Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -573538, -573581, -573624, -573667, -573710, -573753?\nAnswer: -573796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:55 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Let t be -2*n\/(3*-1). Let a = -17 - -15. Put t, a, 0 in ascending order.\nAnswer: a, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188.7 + 92.4.\nAnswer: -96.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 + y**2)*(-3 - 8 - 4).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2967 + 2970. What is the closest to c in 0.2, 1, 0.048, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = g - 1, -g + 2*s = -4. Suppose c + g = 3*c. Suppose -2*w - c = -3. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c = -31*c - 2*u - 14, 3*u - 13 = 2*c + 2*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 399, 1184, 2617, 4890?\n\"Answer: 32*a**3 + 36*a**2 - 3*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*i = 123, 0*d = -3*d - 3*i + 90. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.241? (a) 1\/2 (b) 0.4 (c) 5394 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*m**2 + 27*m**6 - 19*m**6 - 21*m**6 wrt m.\nAnswer: -1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 385*c - 1156*c + 387*c + 390*c. Let t(h) = -7*h - 12. Calculate t(q(d)).\nAnswer: -42*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3087 and 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2566664 (base 7) to base 10.\nAnswer: -336137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-63))\/(3\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33298229 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48725317 and -0.09.\nAnswer: -48725317.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - (-6 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560875 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 3, y: 1, x: 5, s: 7}. Give prob of picking 2 s, 1 y, and 1 u.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123244 divided by 4.\nAnswer: 30811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 97191 (c) -5 (d) -12 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37592 greater than 5086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*k + 45 = 0, 2*y - 4*k - 83 = -3*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489210 by 10.\nAnswer: 48921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:42 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -69, -1.1, -3, 3\/2, 1, 2\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.37*-16.2.\nAnswer: 5.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 + 2127\/12. Suppose 0 = 5*v - 23 - d. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25203 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:54 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**3 + 41*n**3 - 19*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -27 + 28 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1661 - -1681. Calculate the highest common divisor of 860 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*((-4 - 2 + 7)*(30*m + 98 - 98) - 7*m + 2*m + 3*m) - m + 4*m - 4*m.\nAnswer: -57*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -88. Calculate the remainder when 42 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35 + 34 + -1*2)*-744. Calculate the greatest common divisor of c and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 20) + (-4 - (-2 + 0))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015213823 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, c: 2}. What is prob of sequence qr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -12 + (9 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019 - -29.019. Let r = 24 + -52. Let x = r + i. Sort x, 2\/3, 7.\nAnswer: 2\/3, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -55\/43?\nAnswer: -55\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*p + 66 - 4708 = -52 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 734*j**4 - 100*j + 195*j - 2732 - 95*j - 198*j**4 wrt j?\nAnswer: 2144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200547 is divided by 98399.\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2*sqrt(448))*-2)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/16)\/9*126\/(-15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9011*-0.8.\nAnswer: 7208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 2.1. Which is the smallest value? (a) 0.4 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43745*k - 571389 wrt k?\nAnswer: 43745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1771 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6946398? (a) 1\/5 (b) -13 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.004 (b) 2\/5 (c) 0.145 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2801 is divided by 398?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-3 - x + 3) + (-2 + 146 - 16 + (0 + 5 - 4)*(-1 + 1 - 2) + (1 - 3 + 1)*(6 - 4 + 0) - 4 + 2 + 1)*(0*x + 2*x - 5*x).\nAnswer: -371*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -72.1. Let g = -36.1 - v. Which is the closest to g? (a) -0.1 (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35341235 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.0832 - -0.0832. Which is the nearest to -1\/9? (a) 5 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/201 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 75. Let p be (-2)\/(-4)*0\/(-2). Solve p = u + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 343 - 11 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/378 and 163\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-24))\/1)\/((8\/(-120))\/(34\/(-5))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (1 + (44 - 73))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 39*l + 46 + 158. Let t(p) = -p**3 - 7*p**2 + 9*p - 4. What is t(l)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03873 rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgkkgggggrkkbgkg. What is prob of sequence grg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 5 - (13 - -11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3034424004 (base 5) to base 12\nAnswer: -2096a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7af - -19?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -3*a + 2, -2*u + 5*a = 2. Solve 10 = n + u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6702 + -6686. Solve y + 4*n = x, 4*y - 5*y = n - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2. Let w(s) = -s - 5. Let j be w(-6). Calculate the remainder when (-43)\/(-4) - (-2)\/8 is divided by o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 201*m**3 + 6*m - 6. Let a(i) = -28340*i**3 - 845*i + 845. Give -6*a(c) - 845*v(c).\nAnswer: 195*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, l: 2, y: 5}. What is prob of picking 2 y and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 286?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -5\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.0492.\nAnswer: 0.4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326*l*q**4 - 2*l*q**2 + 298*l - q**3 - 44 with respect to q.\nAnswer: -1304*l*q**3 - 4*l*q - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37 and 2151476.\nAnswer: 2151476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/24051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11184 - -11188. Solve -i*m + j - 25 = m, 41 = -4*m + 5*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -50*t + 255. Let f be l(5). Let j be 35*4\/20 + f\/(-1). Solve -5 = 4*r - 2*n + 3*n, -5*r - 3 = -j*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352597, 352594, 352589, 352582, 352573?\nAnswer: 352562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4280 - -11565. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 24 = -z, 5*z - 33*y + 20 = -30*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 12890440?\nAnswer: -12890458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - (1 + 1)) + 1. Suppose 5*d - a = h - 1, d + 2 = 4*a. Factor -3 + 2 + 3 - d*m**2.\nAnswer: -2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/8)\/(3\/24))\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25317 times -3\nAnswer: 75951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20946 + 21118. Solve 2*y = o + 6, 2*o + 3 = -177*y + w*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -63. Calculate the highest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - 6*f**2. Let s be i(-11). Let o(m) = -m**2 + 18*m - 8. What is the units digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 9*n - 6. Let z(j) = j + 1. Determine s(x) - 6*z(x).\nAnswer: x**3 + 3*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 + 57*v**2 + 126*v + 108. Let s(a) = a**2 + a + 3. Let f(o) = -j(o) + 12*s(o). Factor f(k).\nAnswer: -3*(k + 1)*(k + 2)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -26. Let q = 161 - 1781\/11. What is the nearest to q in k, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 19. Suppose d = z*d - 6. Solve -9 - d = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3129008177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 1, b: 1, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 724\/17 < 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 6, 10, 14, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 14*k - 4. Calculate h(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 0. Let r(p) = -1 + 6*p + p**2 - p + c*p. Suppose -19*w + 30 = -24*w. Calculate r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/(-7))\/((-16)\/28) and 49\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 + 7*p**4\/24 + 2*p**3\/3 + p**2. Suppose 13 = 4*y - 15. Let u be v(y). Solve -2*b + 13 + 3 = 5*k, u*b = -2*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -195, -158, -85, 36?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 9 + 6 = -2*a, -a = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168461*c**2 - 82290*c wrt c?\nAnswer: -336922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-104)\/(-39))\/(4\/6). Is (-8 - -17)*(-39)\/(-9) + g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**2 - 34*j + 3. Let y be f(9). Suppose -5*g = -y*g + v - 325, -g = v - 107. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f - 52*f - 966 - f - 3*f.\nAnswer: -107*f - 966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 1\/105*g**7 + 0 + 0*g**6 + 0*g + 0*g**4 - 1\/15*g**5 + 0*g**3 - g**2. What is the third derivative of t(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*b**2\/3 + 26860*b\/3 - 3607298\/3.\nAnswer: -2*(5*b - 1343)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i = -183*i + 2565. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402781, 805542, 1208281, 1610998, 2013693?\nAnswer: 2416366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 153 - 8*u)*(-u + 2*u**3 + u - 2) - 66*u**4 + 107*u**4 + 102*u**4.\nAnswer: 127*u**4 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 5, -3, -151, -2\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8363 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23813\/5065 + -3\/2026. Find the common denominator of l and 99\/6 + 70\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = -4*o, -3*s = 4*o - 13. What is the closest to s in 4, -1, -0.5, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 7, z: 3, j: 4}. What is prob of picking 2 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*t, -4*v + t = 3*t - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 469011564.\nAnswer: 469011564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivuvvosoruivuovi. Give prob of picking 3 u and 1 i.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -250. Let r = a - 112. Solve 0 = 2*j - 2 - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11404 and -2.\nAnswer: -22808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 191488896 divided by -4?\nAnswer: -47872224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410051 (base 8) to base 3.\nAnswer: 20212110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 117.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from zgsxbgz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/4)\/(((-153)\/238)\/(90\/(-21)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -27*u**2 - u. Calculate the common denominator of t(1) and 731\/301 - (-8)\/14 - (-13419)\/(-3990).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2 + 3*x - 4)*(0 - 2 + 3 + 0 - 5 + 3 - 3 - 2 + 4 + (-2 + 1 + 2)*(1 - 4 + 2))*(-x**3 + 0*x**3 + 2*x**3).\nAnswer: 6*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x - 16. Suppose -z + 4 = 4*n - 19, -z - x = -3*n. Factor c**2 - 3 + 12 + n*c - 3*c**2 - c**2.\nAnswer: -3*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/207718 and -143\/151578.\nAnswer: 5608386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -5*n**3 - 59*n**2 + 20*n. Is h(-22) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -9. Let o = 8 + j. Let a = -5.8 + o. What is the biggest value in -2\/3, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4) + 70\/28.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + a12?\nAnswer: a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (-4 - -1) - 3. Let b = h - 17. Solve -3*w + 2*w = -2*r - 3, b*w = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -1140, -1617, -2004, -2271?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 15*v - 25*v + 5.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. Let g = 132127 + -132112. What is the least common multiple of t and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 6, 22, 48, 84, 130, 186?\n\"Answer: 5*m**2 - 9*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -6*h - 9. Find z such that 2\/5 + 4\/5*z - 2\/5*z**4 + 0*z**2 - 4\/5*z**h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -18*l + 20*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13238.82 kilometers in meters?\nAnswer: 13238820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404297 is divided by 6489?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -0.7, -49 in increasing order.\nAnswer: -49, -5, -0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/36)\/(6\/(-4 + 2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.01 + -0.01. Let q = 2 - m. Is q at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -159*h - 13379 + 14969 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**40)*q)\/(q\/(q**(-6\/17)*q))*q*q**(-1\/37)*q*q**31\/q assuming q is positive.\nAnswer: q**(-4642\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 64. Calculate the greatest common factor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38198431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255030 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -831.\nAnswer: -1\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 67*m**3 - 75*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 - 218*a - 37. Is g(66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 176 = -4*m, -3*s + 3 = m - 41. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52837 is divided by 483.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 957. Let s(j) = 80*j**2. Give s(y(z)).\nAnswer: 720*z**2 - 459360*z + 73267920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 5. Let k be p(-5). Suppose k*j = j + 144. Let u = -15 + j. What is the highest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(16)\/sqrt(2)))\/(sqrt(12) - sqrt(300)*1).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Suppose -46 = -2*p + 3*d, -4*p - 3*d - 2*d = -70. Suppose 0 = 2*q - 7*q + 25. Solve q*s - 29 - 21 = -w*n, -3*n = s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679748216 and 15248?\nAnswer: 7624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**34)**(-2) assuming b is positive.\nAnswer: b**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:17 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 740773 divided by 213?\nAnswer: 740773\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 2756?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1812 + -60?\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.653 * 0.1\nAnswer: -0.2653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13504661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 3982035*w.\nAnswer: w*(w - 3982035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -685 + -10?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.77, 3\/2, -22, 1, 5?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let n(o) = 3*o + 1 - 3*o + 0 + o**s - o. Let b be n(1). Sort b, 4, -3 in descending order.\nAnswer: 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3884767?\nAnswer: 3884767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 94. Let s = 34 - i. Suppose -10*n**2 + 16*n**5 + 3*n**4 - 16*n**3 + 6*n**2 - n**4 + 2*n**s = 0. Calculate n.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/14*(-7 + 242\/33).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h**2 + 3*h**2 + h**2)*(17*h**2 + 0*h + 0*h)*(0 + 6 + 0) as x*h**2 + t*h + k + p*h**4 + v*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -156?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*-1*(-14)\/(-4). Let o = 303 - 177. What is the greatest common divisor of c and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -232644 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:49 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -160*d**2 - 167995*d + 5259. What is y(-1050)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 475.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13634927.\nAnswer: 139, 233, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3087227 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3445*n**2 - 4*n + 9533 wrt n.\nAnswer: 6890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(-10)\/(4\/((-2)\/1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6410987, -12821980, -19232985, -25644008, -32055055, -38466132?\n\"Answer: -h**3 - 6410986*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.144 and -3196100.\nAnswer: -3196101.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from suvruvuuivrf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15536875, 15536874, 15536873, 15536872, 15536871, 15536870?\n\"Answer: -v + 15536876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 11212011021111202?\nAnswer: 11212011021111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 11 = 3461. Suppose -127 = -4*o + t + d, -4*t = 2*o - 146. Calculate the remainder when o is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9389.\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.291 and 7.\nAnswer: -2.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -74. What is the highest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1349406434\/5 or 269881287?\nAnswer: 269881287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*13\/(-52)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 41*m**2 - 26*m + 7. Let f be v(40). What is the highest common divisor of 126 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-85)\/(-34))\/((-1)\/(-12)). Let s be (-1)\/(-2)*-2*(-6)\/2. Suppose s*g + 3*g - q = 0. Calculate the remainder when 18 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Suppose 4*s - 10 = t*s. Suppose -2 = 2*a - i - s, 4*a + i - 3 = 0. Which is smaller: 6\/7 or a?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -12 - -103 - 22.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5668611 is divided by 2127.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - 136*k + 136*k - 2*k**5 + 0*k**5 - 2*k**5 - 4*k**5 - k**5 + 3*k**5 + (3*k + k**2 - 3*k)*(-3*k + 3*k + k**3) - k**5 + 4 - 4.\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n**5)*(15 - 47 - 6).\nAnswer: -38*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let l be (2 - 140)*q\/(-2). Suppose -s + 436 = 5*m, 0 = 5*m + 4*s - 232 - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**2\/2 - 1. Let r(s) = 10*s**2 + s - 1. Let b(j) = -j**2 + j - 1. Let q(i) = -b(i) + r(i). Calculate h(q(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 272928852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/6, 1\/9, -0.2, -4, 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 766875 and 15.\nAnswer: 766875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*207.\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-5)\/(-10)*(-45)\/25.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111386987.09 rounded to the nearest one million?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2030443, -2030388, -2030333?\n\"Answer: 55*z - 2030498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x*y**3 - 27*x*y**2 - x*y + 7*x + 2*y**3 + 11*y**2 - 5*y - 252 wrt y?\nAnswer: 36*x*y - 54*x + 12*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - r = -13, -2*r - 8 - 2 = -3*c. Let o(h) = -6*h - 8. Let l be o(-6). What is the greatest common divisor of c and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*z = 189*z + 492*z + 5500 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004434 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182508*u**4 + 286075 wrt u?\nAnswer: 730032*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4 - 3. Calculate the remainder when (-624)\/8*(3\/9 + l) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1527 and 63?\nAnswer: 32067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h*h*((h**8\/h)\/h*h)\/h)\/(h*h*h**(-5)*h**(-5)) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zxzzxzzzxxzx?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 15*z. Let v be 2\/(-7) - 96\/(-42). Let c be (v\/5)\/((-3)\/30). Put z, c, 1 in decreasing order.\nAnswer: 1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -128, -177, -230, -281, -324?\n\"Answer: v**3 - 11*v**2 - 13*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36445535.991 - -36418404. Let z = 27143 + m. Let f = z - 11. Round f to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -5, -3, -1, 1, 3?\n\"Answer: 2*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947335878?\nAnswer: 2, 3, 17543257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 30, -7 in increasing order.\nAnswer: -64, -7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-250)\/(-105)) - 3\/5. Suppose -4*y - 4*f = 3 - 23, -2*y - 3*f + 15 = 0. What is the third smallest value in 1\/4, y, s, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l - 37*l = 493. Solve 0 = a + 2*a + i - l, a - 2*i = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 60. Let r = -23 + 38. Calculate the remainder when n is divided by (-234)\/(-15) - (-6)\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4632.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 38. List the prime factors of (216\/21)\/(j\/28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6144106 (base 7) to base 8\nAnswer: -2631044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*c = 364, -2*c - 3*c = -5. Suppose m = 6*h + 12. Solve 4*x - 2 = -h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 9*s - 3. Let y be d(-4). Let o = 7 + y. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - -1120. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 13 - 30 + 17.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 8\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1440054 (base 8) to base 15\nAnswer: 81599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1243 or -146\/7?\nAnswer: -3\/1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, -4\/7, 0.2, -2372 in descending order.\nAnswer: 12, 5, 0.2, -4\/7, -2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151516*n**3 - 1151505*n**3 - 3 + 3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 3*v - 4*v = -12 - 191, 3*v = 4*n - 95 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 43*r**2 - 58*r + 5. Let d be g(23). Let y be (-3*1)\/(2\/118). Let p = d + y. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-7)*(-10)\/4. Suppose -34 = -w*o - 3*d, -d + 1 = -2. Solve -o*u - 5 = -2*s + s, -s - 9 = 2*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v**4 - 2*v + (5 - 3 - 3)*(-v + v - 2*v**4))*(5*v + v - 2*v) + 0*v**5 - v**5 - v**5.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6456 + 12037. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/3)*m)\/m)\/m**(-3\/7)*m*m**(-4\/13)*m*m*m**(-15)*m assuming m is positive.\nAnswer: m**(-2879\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b = 82*b + 791 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -25\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 553728442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d - 2. Let k be l(0). Let h be 0\/39*k\/6. Factor h + 2\/5*r + 2\/5*r**3 + 4\/5*r**2.\nAnswer: 2*r*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*o - 2815 = -899*o + 3165 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(448) + 0))**2.\nAnswer: 32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 71, 110?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*56\/(-770))\/((-4)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -440*s - 365 wrt s?\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189066 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*l + 24\/5 - 9\/5*l**2 + 3\/5*l**3.\nAnswer: 3*(l - 4)*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2205, 1001, 6343, 13821?\n\"Answer: 1068*y**2 + 2*y - 3275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 3. Let r = i + -6. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113340301021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 16*o**2 + 18*o + 16. Let r be a(17). Let x = r - 31. What is the second derivative of -3*i - 8*i + 3*i + 0*i - 6*i**x wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/122 (c) -1\/18 (d) -1412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25536517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 4*h. Let y(i) = 48*i**2 - 13*i - 2. Calculate 4*s(r) + y(r).\nAnswer: 60*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -30. Let k = 10 + 86. What is the greatest common factor of k and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000289562 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 = 2*v, -v - 4*v + 3*i + 94 = 0. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 55*r**2\/7 + 379*r\/7 - 176\/7.\nAnswer: (r - 16)*(r - 11)*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-24))\/((-1)\/2*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 15\/14*g**2 + 2 + 12\/7*g + 1\/7*g**3. Suppose m(v) = 0. What is v?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d + 1. Let b(x) be the second derivative of 5*x**4\/12 + x**3\/6 + 5*x**2\/2 - 3*x. Let c(w) = b(w) - 4*z(w). Give c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/4)*x**(-17)\/x*x*x assuming x is positive.\nAnswer: x**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let b = 0.02 + 0.98. Let n = j - b. Sort -4, n, 0.5 in decreasing order.\nAnswer: 0.5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -2\/17, -3\/7, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 4*y + 3*y**2 - 2*y**2 + 2 + 2*y**2. What is the units digit of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*y = -5, 11*s + 10 = 9*s + 4*y. Suppose -5*g - 4*w = 0, -9 = 3*g - 2*g - w. Sort 0, s, 4, g in decreasing order.\nAnswer: s, 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1809*y - 164769. Give j(-91).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-5)*(-1 - -7)*(-10)\/6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-6)\/(-4)) + (-10)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-8))\/((-1)\/4). Let p(r) = -r - 9. Let k be p(-10). Suppose -4*z - k - 3 = 0. Put c, -3, z in decreasing order.\nAnswer: c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -6*h**2 - 354. Let c(d) = 35*d + 2. What is c(o(v))?\nAnswer: -420*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 4, h: 3, x: 2}. Give prob of picking 1 x and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1650168 and 1173276.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/4 + k**4\/3 + 3*k. What is the third derivative of l(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 + 1\/30*f**5 + 15*f**2 + 0*f + 1\/120*f**6 + 1\/12*f**4 + 1\/6*f**3. What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 2*k + 2*k + 28*k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 8*z**2 - 4*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 8*v + 5. Give p(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - -3*sqrt(4)*-2)\/(sqrt(80)\/sqrt(10)) + -2.\nAnswer: -5*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2464)\/1078*(-5)\/(-10)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:38 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/12 - x**3 + x**2. Let r be h(-5). Suppose -r*u + 3*n = 0, 4*n = n + 12. Solve -25 = -8*d + u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlnxgnnxlnxxxennx. What is prob of picking 2 n?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305624 divided by -4?\nAnswer: 576406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t + 16613 = 16313 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-234)\/26 - (-1 - 1). What is the remainder when -8 + 644 + r - 9 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from cxkhj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:20 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8 + 1. Solve -2*a - j = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*z - w - w, 5*z - 36 = -4*w. Calculate the remainder when 31 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruroyoyuooy. Give prob of sequence yyr.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -110. Calculate the remainder when 155 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212.9 - -208.9. Which is the nearest to -2? (a) h (b) -1\/3 (c) -5\/4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -82 - 6. Suppose -d - 5570 = -q*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -8 - ((-126)\/15 - -1). Let p = -632\/9 + 70. Let i be (9\/12)\/((-7)\/14). Which is the closest to o? (a) -0.3 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308905 times 4?\nAnswer: -5235620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(7) + -2)*3 - (-5*(-1 + sqrt(50)) + sqrt(50) + (sqrt(150)\/sqrt(3))**2 + -3).\nAnswer: -58 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/17 - -3\/34. Let n = 25.1 - 23. Let p = 2 - n. What is the nearest to p in -1, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 - 10*v - 4. What is the tens digit of u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30001 is divided by 3325.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/5))\/d*d**(2\/3)*d)\/((d*d**(-3)\/d)\/(d\/d**4))*(d\/d**1)**22\/(d*d\/(d\/((d*d\/(d**4\/d)*d*d*d)\/d))*d*d**(-2\/15)) assuming d is positive.\nAnswer: d**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g + 4. Let b = 18 - 21. Give w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/142017 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-170)\/(-7))\/(125 + 3). Let w = -3\/64 + j. Suppose 0*d + 3 = 3*d. Are d and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 1 + sqrt(245)*-2 - sqrt(245) - sqrt(245) - sqrt(245)) + -4 + -2)**2 + 3 + -3.\nAnswer: 280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27*n + 1. Calculate p(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-287 - 33*s + 287)*(66*s**4 - 5*s**4 - 11*s**4) - s**5 + 0*s**5 + 2*s**5.\nAnswer: -1649*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.191 (b) -2 (c) -1 (d) -3\/2 (e) 0.619\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67\/5 (b) -12 (c) -2\/3 (d) 3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*s = 8*g - 3, -4*g = -2*s - 10. Let r(i) = 31*i - 3. Let v be r(1). Let m be (v\/70)\/((-2)\/(-30)). Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluuolllllxlxlxx. What is prob of picking 1 o, 1 u, and 1 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, q: 3, a: 4, x: 2, v: 3}. Give prob of sequence vxxq.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157\/465 - 43\/93. What is the smallest value in s, 4\/9, -1.284?\nAnswer: -1.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/48*-2)\/((-4)\/(-12))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*h = 2*h - 12, -2*h = 5*o - 14. Suppose -d - o*q + 268 = 3*q, 0 = 3*d - 4*q - 785. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*y - 46, 6*z + 167 = z - y. Which is smaller: -40 or z?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4756, 39535, 135018, 321901, 630880, 1092651?\nAnswer: 1737910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18 = -g, 0 = g - 2*v + 24 - 27. Put g, 5, 3, 9 in increasing order.\nAnswer: g, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + 1\/(-4). Let q = 115 - 114.7. Which is the closest to g? (a) -0.1 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 289*y - 7*y**2 + 12 - 627*y + 26.\nAnswer: -7*y**2 - 916*y + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 267158*p**2. Let q(s) = s**2. What is q(d(g))?\nAnswer: 71373396964*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*q - 7981, 74*l - 69*l + 20 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -282, -544, -886, -1308?\n\"Answer: -40*z**2 - 62*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 - 150*u + 846.\nAnswer: 3*(u - 94)*(u - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -512a3 - -3?\nAnswer: -512a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001196698057 rounded to six decimal places?\nAnswer: -0.001197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2122*q + 4760 - 20780 + 3030*q + 1917*q - 5*q**3 - 1909*q - 385*q**2.\nAnswer: -5*(q - 6)**2*(q + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdm when four letters picked without replacement from {m: 2, d: 1, j: 4, a: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010111011010010000 + 10?\nAnswer: -10011010111011010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3078115 + -0.07.\nAnswer: 3078114.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*w - 2*p - 1 = 130*w, -5*p = w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b - 45. Let f = 198 - 214. List the prime factors of a(f).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -6\/2394065 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**3 + 2*f**2 + f + 1. Let b be l(-3). Suppose -g + 4*v + 283 = 0, 5*v - 24 - b = -g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 3*g**2 + 7*g)*(-2*g + 0*g + g)*(2132*g + 0 + 0 - 2183*g).\nAnswer: 153*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((-64233)\/312)\/(-3)) + (-3)\/((-24)\/5)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 3*v - v + (2 + 1 - 1)*(-6*v + 3*v + 2*v) - 4*v + 2*v + 3*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(5\/(-600) - 0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*m**2 - 106*m + 15*m**2 + 14*m**2 + 410 + 64*m**2 wrt m?\nAnswer: 6*m - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 22 - 22. Suppose 3*f = x - a*x - 153, 4*f - 16 = 0. Let q(c) = c - x*c**3 + 2*c**2 + 2 - 6*c**2 + 166*c**3. What is q(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5532)\/(-16)*(-48)\/(-18). Find the third derivative of -37*r**2 - 9*r**3 + 7*r**4 + x - 922 wrt r.\nAnswer: 168*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 2*z - 1, 5*x + 6*z = 4*z + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.9 and 19778592.7386?\nAnswer: 19778599.6386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (3 - (8 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-2)\/(-3))\/(70\/(-245)). Let l(y) be the third derivative of 0 + y**2 - i*y**3 + 0*y + 13\/24*y**4. Let r(j) = -6*j + 3. What is 3*l(n) + 7*r(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -11 + 3. Let s(v) = v**3 + 3*v**2 + v + 1. Let f be s(x). Suppose -5*g - c = c - 12, -5*g = -c - 9. Sort g, f, -2 in descending order.\nAnswer: f, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -31582, -2 in descending order.\nAnswer: 5, 3, -2, -31582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**3 - 81176*z**2 + 4033692*z - 1335544 = 0 for z.\nAnswer: -6814, 1\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 3231.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 12600.\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = c. Suppose 5400017 = -2*k + 3*k + q, 3*q = 2*k - 10800039. Let h be (-6)\/c - k\/(-12). Round h to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((30\/(-15))\/(48\/3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1477558 divided by 41.\nAnswer: -36038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let f(r) = 9*r + 4. What is f(k(b))?\nAnswer: -36*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 83. Let w = -155 + h. Let a = 3.93 - -0.07. What is the second smallest value in w, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 9. Suppose 66 + 3 = 3*k. Suppose -k = -2*z - 3. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/10)\/(6\/(-15)). Suppose x*o = -o + 123. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.87 at least as big as 2\/5999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 39*r**2 - r + 13. Let l be h(7). Let o = 3052 - l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/496 - (-46)\/40.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/5)*v)\/v*v*v)**(24\/11))**(-42\/11)\/((v**(-1\/7)\/v**9)\/(v**(-2\/5))**30) assuming v is positive.\nAnswer: v**(-75604\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 7*f - 4. Let r be u(-6). Let h(j) = -2*j - r*j - j + 2*j. Let s(a) = -a**2. What is h(s(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252435047, -252435051, -252435057, -252435065?\nAnswer: -252435075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 572712 - 298644 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7056 is divided by 641.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w = 0. Let q(u) = 5 + 2*u - u - 3*u + w*u. Let g be q(-5). Solve a = 4*a - g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -32. Let h be 1 - (3 - 1) - y. Solve h*j = 2*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 43 = 5*k. Let i = k - -22. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -2\/9, 2, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(4\/13))**(1\/45) assuming p is positive.\nAnswer: p**(1\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108483, 216955, 325427, 433899?\n\"Answer: 108472*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 6*m - 2. Let y(h) = 7*h**2 - 7*h + 3. Give 6*u(l) + 5*y(l).\nAnswer: -l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7060000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2747076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/8))\/c**(5\/4))**(1\/36) assuming c is positive.\nAnswer: c**(-5\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/5 - m**4\/2 - 3*m**2\/2 + 45*m. Let g be v(2). Solve 3*a - g = 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186779600 a multiple of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 191764000 to the nearest 1000000.\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(3\/2))**20*((g\/g**(1\/2))**43)**(-1\/8) assuming g is positive.\nAnswer: g**(149\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -13*v**4\/24 - 7*v**3\/6 + 8*v**2. Let y(d) = -7*d - 4. What is -4*u(z) + 7*y(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 1. Let l(a) = -a**2 - 2*a - 16. Let z(j) = j + 5. Let w(v) = -2*l(v) - 7*z(v). Give 4*c(n) - w(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -506175*c**2. Let r(d) = -12*d**2. Determine i(r(t)).\nAnswer: -72889200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785054.9 meters to micrometers.\nAnswer: 785054900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * -0.6\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -494*v - 1396. Determine y(-9).\nAnswer: 3050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (242\/(-1331))\/((-86)\/(-22))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: 18573 divided by 453\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*d - 3*j, 18*j - 17*j - 30 = -5*d. Suppose -5*w - 1710 = -d*b, 4*b - 2*w = -w + 1353. List the prime factors of b.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in -5, -2\/11, 12, -0.3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**6\/360 + 11*u**5\/120 + 3*u**4\/8 - u**3\/3 + 4. Let s(h) be the third derivative of t(h). Is 19 a factor of s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 l when four letters picked without replacement from {b: 6, l: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (17 + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 15*t**2 + 11*t + 32. Let b be d(14). Find the common denominator of (0 + (-84)\/(-27))*b\/64 and -44\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 23*a**2 + 16*a - 8. Let x be g(-6). Suppose -5*o = -9*o + x. List the prime factors of o.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 - -43981.92.\nAnswer: 44034.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -25 - -22) + -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 45 = -5*n. Let f be (-12)\/n + -1 - -3. Put f, -0.02, -0.3 in ascending order.\nAnswer: -0.3, -0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028812 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - (-147)\/(-72)). Let z = m + -13. Let l = -11 + z. Solve -4*h + 9*h + 10 = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -22*u - 343. Let z be q(-16). Let j(v) = 5*v**2 - 6 + 0 + 12*v - 3*v**2. Let o be j(z). Calculate the greatest common factor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 2.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/69 (b) 2\/7 (c) 0.3 (d) -10 (e) -0.147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -6\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6886 is divided by 5958?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -43*l**2. Let r(z) = z - 2*z - 4*z + 6*z. Calculate q(r(n)).\nAnswer: -43*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from ilioani.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -3*m, 0 = 4*c + m - 3*m + 2. Is c <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srhhsw. What is prob of picking 1 s and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 355717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 30. Suppose p - 2 = 4*k. Solve 2*l = k*l - j - 5, -4*l - 5*j = 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4320 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282 and -5?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 413\/621 + 1\/621. Let z = -10 + 1. What is the nearest to z in -5, b, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113326573.17 to the nearest one thousand.\nAnswer: 113327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/u*u*u*u**(-1)*u**(-7)\/(u*u**(-1\/20)) assuming u is positive.\nAnswer: u**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 720447.\nAnswer: -10\/240149","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -51277943 from 5.\nAnswer: 51277948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/8 - 14883*p**3\/8 + 55024795*p**2\/8 + 2614952175*p\/8 + 1950417875 = 0. Calculate p.\nAnswer: -40, -7, 7465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert f12 (base 16) to base 15.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242397872 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 1\/6*x**3 - 4*x + 0 + 3*x**2. Calculate q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77282162 divided by -1.\nAnswer: 77282162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkyk when four letters picked without replacement from kdddykdydkdyydydk.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 29. Solve l = 4*u - 20, -5*w + 35 = 2*u + u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fflwvvgvvff. Give prob of picking 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -80*3\/(-6) + -1 + 0. What is the greatest common factor of 624 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125806 is divided by 9675.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*x - 6. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/20137 and -14\/13941.\nAnswer: 181233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from bbogggdoogdg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480695 divided by -1?\nAnswer: 3480695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5759415.071745 - -4.\nAnswer: 5759419.071745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by (-30)\/(-45) - 596\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 15*s**2 + 22. Let m be u(15). Suppose 2*x + m - 138 = 0. What is the lowest common multiple of 16 and x?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.37451294 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90.335 and 0.948.\nAnswer: -85.63758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 - 4*i - 6. Let j = 8 + -4. Let a(c) = -7*c**2 + j*c + 7*c + 24*c**2 + 17. Calculate 4*a(k) + 11*f(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5111352?\nAnswer: 2, 3, 70991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:50 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnntttntnn. Give prob of picking 2 n and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -360.86 + 365. Let r = v + -3.94. Is 18\/25 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34355101 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 4396609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -121, 0.2, 0, 0.5 in descending order.\nAnswer: 0.5, 0.24, 0.2, 0, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 586 and 2668937.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10590 and 645330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -24679327?\nAnswer: 24679337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(832) + -1) + sqrt(832) + -1.\nAnswer: -8 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 324*l = 323*l + 14, l = -3*z + 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2860*p**5*u - 5*p**2*u**3 - 3*p*u**3 - p*u**2 + p*u - 2*u**3 + 827*u wrt p?\nAnswer: -57200*p**3*u - 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95\/2 of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 2, h: 2, t: 1, u: 2}. Give prob of picking 1 w, 1 t, and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p**2 + 4*p**2)*(725*p**2 - 725*p**2 + 70*p**3) - 4 - p**5 + 4.\nAnswer: 69*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(65)\/(sqrt(5)*-1).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3475 (base 9) in base 12?\nAnswer: -15ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from vrrjhdvb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*m - 1, 2*m = 2*y - 0*y - 2. What is the derivative of -d + 3*d - 3 - y + 6 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -20 - 2 - 20 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5368 + -0.2.\nAnswer: 5367.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzszzkkkkkkskkk. Give prob of sequence szk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4 + 701752*d**3\/3 + 13680889024*d**2\/3 + 60790090240*d\/3 = 0.\nAnswer: -38984, -40\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 3*w**6\/160 + w**5\/20 - 5*w**4\/32 - w**3\/4 - 8*w**2. Find g, given that p(g) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3)*c\/((c\/(c*c**(-1\/6)))\/c)*(c*c**(-2\/5))**(-22))**(-16) assuming c is positive.\nAnswer: c**(1768\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -606 + 606. Solve c = -9*h + 71 + 1 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 - 489*c**2 + 4056*c - 8208 = 0. Calculate c.\nAnswer: -171, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -538*y**2 + 57*y**2 - 42*y**2 + 247*y**2 + 1. Let s(k) = 3*k**2. Determine u(s(d)).\nAnswer: -2484*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -513929, 3, -43?\nAnswer: -513929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 946962517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/7)\/v*v))\/v**(-1\/8))\/((v**0\/v)\/v**6) assuming v is positive.\nAnswer: v**(471\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let y(s) = -7*s. Let l(d) = -6*n(d) + y(d). Let p(x) be the second derivative of -17*x**4\/3 - 6*x. Determine p(l(m)).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 2)*(11 - 6 + 12) - 3 - 3 + 5 + 2 + 1 - 5 + 0 - 1 + 3)*(3*o + o - 5*o) in the form s + j*o and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -v + 4*a, 2148*a = 5*v + 2160*a - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005891 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - 22. Let x = 79 - u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let d(t) = -2*t - 75. Let q(y) = -2*y - 60. Let k(r) = -4*d(r) + 5*q(r). Calculate -k(h) + 4*m(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - -24 - (173 + -170) - 105?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -75*40\/210*((-315)\/(-10))\/9*1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 18*a**2 + 72*a + 2. Let b be p(12). Solve -2*h + 2 = 3*d, d - 5 = -7*h + b*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79.8*383\nAnswer: 30563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2080\/(-1664))\/((-3)\/2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407359980 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, s: 3}. Give prob of picking 2 c and 1 s.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 42. What is the units digit of m(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (0 + (-2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 4*b**3 + b**3 + (0*b + 2*b + 4*b)*(0 + 0 - 3*b**2) + (3*b - 4*b + 3*b)*(b**2 + 2*b**2 - 2*b**2) + (2*b + 11 - 11)*(-5*b**2 + 0*b**2 + 3*b**2).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2019.6 - 6824623.\nAnswer: -6822603.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492571353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263 is divided by 579.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -260, -702, -1144, -1586?\n\"Answer: -442*h + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (2*sqrt(85) + sqrt(85) - sqrt(85))*4 + sqrt(85) + sqrt(85))\/(sqrt(80)*1).\nAnswer: 11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -377.\nAnswer: 34\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m*m**(-1)*m)**37)**3 assuming m is positive.\nAnswer: m**777","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 2310?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-7)\/(-2))*(-1 + 9). Solve 2*d - w = -0*d - 5, d = 2*w - s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(0*h + 0*h - 2*h**2) + (-2 + h + 2)*(2*h - 4*h + 0*h) - 2*h**2 + 0*h**2 + 6*h**2 as r*h**2 + y + u*h and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 = l + l, 0 = -5*l + 4*t + 41. Suppose 2*p - 213 = -o + 4*o, 393 = 4*p + l*o. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-200\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11047914 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71\/13, -1\/4, -3, 4, -2\/7.\nAnswer: -3, -2\/7, -1\/4, 4, 71\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 7. Let h be (15\/6)\/(t\/(-30)). What is the derivative of 0 + 1 - 40*u - h*u**2 + 40*u wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-20)\/15*-39. What is the greatest common divisor of w and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15211359 - -15211359.6607579. Let d = f + -8.4608149. Let g = d - -7.8. Round g to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*y + t - 16, 0 = -3*t + 12. Determine q, given that 2*q - 6*q - 4*q**2 + y*q**2 + 0*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 8*t + 31. Give p(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/40 - -1471\/120. Find the common denominator of (-35)\/10 + 4 + 47 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11020 (base 5) to base 14\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 125, -0.1, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15360541 + 119*o**2 + o - 15360541 as b*o + d*o**2 + r and give d.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -2435490.\nAnswer: -2435489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k = -36*k - 4*o + 12, 2 = -k + o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-2 - -8) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 3*l**5\/20 - 29*l**4\/12 + 38*l + 19. Let q(x) be the first derivative of z(x). What is the third derivative of q(p) wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 56*o**2. Let d(m) = -8*m**2. What is d(l(h))?\nAnswer: -25088*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.283211 + 0.2477. Round r to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - o**2 - 2 + 2 + 109*o - 109*o - 20*o**2 + (-4 - 2 + 4)*(-3*o**2 + 2*o**2 - 2*o**2).\nAnswer: -15*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 573243?\nAnswer: 1719729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n - 2. Let o be v(3). Suppose -5*f = -2*a + a - 4, 2*f = -2*a + o. Let b be -2*((-4)\/6 - 2\/6). Solve 0*z = -b*z - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.9 + 0.1. Suppose 5*m = 9*s - 5*s - 14, -4*s - 5*m = 6. Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325105 - -15.59.\nAnswer: 325120.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.5, -0.3, 194, 4 in descending order.\nAnswer: 194, 4, -0.3, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -1\/3, -0.01, -1, 12.\nAnswer: -1, -1\/3, -0.01, 0.24, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8*u = -12*u - 58, -14*t - 29 = -u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5370673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/24*f**4 + 0*f**6 + 1\/210*f**7 + 1 + 3\/10*f**5 - 5\/6*f**3 + 10*f**2 + 0*f. What is the second derivative of a(t) wrt t?\nAnswer: 12*t**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 216 = 77. Suppose 3*d - 74 = 3*v + n, -323 = -5*d - 3*v. Let j = d - 333\/5. Which is the nearest to j? (a) 4 (b) 1\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15478606 or 15478601?\nAnswer: 15478606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16 and -113\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1158\/5 + 231. What is the nearest to -0.1 in -40, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from rgrgggggggrggggrg.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 145*x - 6. Let f be t(7). Let h = -3070\/3 + f. What is the common denominator of -13\/9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 266*w + 186. List the prime factors of n(42).\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 248 and 4?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:51 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1324*(-6)\/(-24) - (-20)\/4. Let s be (n\/(-616))\/(4\/(-22)). Solve 2*d + d - 2*t - 7 = 0, -5*d = s*t + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398141 divided by 1107.\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1841 divide 19192998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(5\/6)))\/j)\/j)**(-22)\/(j\/j**1*j**(1\/5)))**(-16) assuming j is positive.\nAnswer: j**(-14912\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-9))\/(2\/15). Let h(z) = z - 8. Let g be h(8). Let w(q) = q**2 + g*q - 2 + 0*q - 6*q. What is w(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c - 7*c**4 - 5*c**3 + 9*c**4 + 4*c**3 to s*c**3 + u*c + x*c**2 + d + b*c**4 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 52*p - 28. Give f(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 10, -2*c + 1 = -4*x - 15. Let a(k) = 38*k**3 - 4*k**2 + 6*k - 3. Suppose 18*j + 321 = 339. What is the least common multiple of a(j) and c?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyxnuxymxxxym. Give prob of sequence nm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f + f - 2*f + 3*f + 0 + 0 + f + (-2*f + 3*f - 2*f)*(-1 - 2 + 2))*(227*f**2 - 15*f**2 - 117*f**2)*(2 + 3 - 6).\nAnswer: -475*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {m: 6, h: 1, u: 1, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Suppose -7 = -r*u - 3*k, -u + 4*k = 2*u + 15. Is 3\/8 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:21 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9891 and 19696824.\nAnswer: 19686933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2576 and 61\/2254?\nAnswer: 18032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1501 - 1499. Solve -v + 5 = -7*w + 3*w, 4 = -x*w + 2*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - ((6 - 3) + -3). Suppose -2*n = -a*h + 130, -4*h + 91 = -4*n + 5*n. Suppose 5000 = -19*z + h*z. What is z rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010 + -1001001011?\nAnswer: -101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17796436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from bhgxbx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 211268 - 2000840 = 3*n, 5*a = -5*n + 8947820. Let j = a - 897566. What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15628859 is divided by 780.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -788, -24, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/3, 0.1, 1\/4, -627?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -52*g**2 - 524*g + 3. Let m(f) = -15*f**2 - 175*f + 1. What is 7*m(j) - 2*t(j)?\nAnswer: -j**2 - 177*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139722284 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v**2 + 194*v + 16. Let x be j(13). Let i be (6 + -3)\/(6\/4). Solve i*b - 4*b + 2*m + 20 = 0, -20 = -b + x*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 5. Let g be p(4). Suppose 3*l = -2*t - 2*t + 269, 0 = -5*t + l + 341. Suppose -g*z - t = -7*z. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/17)*p**(-1\/9))**(-47) assuming p is positive.\nAnswer: p**(-7238\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + 49. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60303717655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1261898620763 + -3.\nAnswer: -2.8738101379237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10343.72398 to the nearest integer.\nAnswer: 10344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 8*t**2 + 8*t + 7. Let a be p(-7). Suppose w = -a*w. Solve 0 = 3*c + 2*h + 14, -3*c - 4*h - 16 = -w*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 2, u: 1, o: 4}. What is prob of picking 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.48165 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1686200 by -210775.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 82. Suppose -40 - u = -4*d. Let b = d - 16. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202210110011 + -100120?\nAnswer: -2202210210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 - 6*l. Let h be i(-3). Solve o + 3*c + 9 = 0, -2*o + h*c = 4*c + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147\/516482 or -1?\nAnswer: 147\/516482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - j**2 + 2 + (-2*j + 2*j + 25*j + (-1 + 2 - 3)*(-16*j + 10*j + 8*j))*(-3 - 3*j + 3) to x + b*j + i*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -1048, -1061, -1078, -1099, -1124?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i**3 + 25*i**2 - 13*i - 54. Let a(k) = -3*k**3 + 5*k**2 - 3*k - 10. Let m(g) = 11*a(g) - 2*c(g). Suppose -6*u + 8 = 44. Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113490 - 16662 = 181*n + 227*n. Which is smaller: -302 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2877003 and 7?\nAnswer: -20139021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Let d = 1 + -1.1. Let s = d + -4.9. Sort -1, s, x in increasing order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 234 = 18*d - 404 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 180. Let m(x) = x**3 - 6*x**2 - 9*x + 9. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-5)*((-20)\/40)\/((-1)\/(-2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.177 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38272592 a multiple of 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k - 3*k**2 - 23*k + 3*k**2 + 2*k**3.\nAnswer: 2*k**3 - 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2 + 0*m**2 + 0*m - 13\/3*m**3. Let p(d) be the second derivative of -d**4\/6 - 18*d + 2. Give t(p(x)).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 40*t**2 - 36*t**2 - 5*t**2. Determine j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from {t: 3, p: 7, g: 5, f: 1, k: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*p = 79992, -60011 - 5 = -3*j - 4*p. Let c be 10*j*(6 - 5)\/1. What is c rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -147, -3 in ascending order.\nAnswer: -147, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5805 and 68757?\nAnswer: 3094065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -72*g + 4962. Determine b(69).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3197.244 + -3192. Let j = m + -0.244. Which is the third smallest value? (a) 0.4 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**5 + 2*j**4 - 1953256*j**3 + 3309148*j - 16 wrt j?\nAnswer: 60*j**3 + 24*j**2 - 11719536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpppnpnatapttppta. Give prob of picking 1 n and 3 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.958 - 19.942. Let c = 126 - i. Let z = -0.082 - c. Is 0.1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.041 - 0.041061. What is v rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188414\/11 + -16964. Let g = p - 331\/2. What is the common denominator of g and (86\/12)\/((-7)\/(-3))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 38*f**2 - f + 30. Let i be t(-13). What is the second derivative of i*w**3 + 7*w**2 - 59*w**3 - 57*w**3 - 78*w**3 - 65*w wrt w?\nAnswer: 108*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437 times 0.2?\nAnswer: 0.00874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**5 - 2*y + y**4 + (0*y**2 - 3*y**2 + 2*y**2)*(3 + 2*y**3 - 3) - y**5 - y**5 + 3*y**5.\nAnswer: 3*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Suppose -4 = -2*h - 3*l, 5*h + 2*l = l + 23. Let j(o) = -60*o + 16. Let c(u) = 20*u - 5. Let a(p) = h*j(p) + 16*c(p). Determine q(a(k)).\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0.3, 45, -31088 in ascending order.\nAnswer: -31088, 1\/9, 0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 1, m: 2}. Give prob of sequence kg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98309959 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 2*o + 13. Calculate m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6936513?\nAnswer: 20809539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - -1)*(-6)\/(-18))\/1. Let o = 3 - 2.9. Which is the closest to o? (a) -1 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(90*v - 90*v - 33*v**4).\nAnswer: 66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 43. What is l(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let q(x) = x**2 - 17*x + 21. Let n(k) = 4*i(k) + q(k). Let u be n(11). Does 20 divide -1*(u - 251) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -25. Suppose -k = d - 10. Suppose -6 = 2*n, 4*n = d*w + 2*n - 18. Solve 0 = -w*u + 3*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3112 by -6.\nAnswer: -1556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2356 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let f be (-45)\/(-20)*(-9)\/((-108)\/(-64)). Let s be (0 - 11\/(-66)) + (-82)\/f. What is the second smallest value in s, -4, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*m + 8 - 86*m + 32*m**2 + 28*m to the form o*m + h*m**2 + x and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -740 - -1912. Suppose -s = -392 + n. Let t = -373 - s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379718?\nAnswer: 2, 3, 76651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153.4736 + -0.0264. Let f = -154 - i. Let m be (-10)\/3*(-12)\/(-10). Which is the third smallest value? (a) -0.06 (b) m (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:33 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*z**2 - 117*z + 334*z - 118*z - 99*z.\nAnswer: -593*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let x be (-49 - -51)\/((-2)\/(-36)). Let k(j) = -4*j**2 + 79*j**2 + 74*j**2 + 126*j**2 + x*j**2. Give k(f(c)).\nAnswer: 311*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrnnrnrnnn. Give prob of sequence rr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85686286, -85686284, -85686290, -85686310, -85686350, -85686416, -85686514?\nAnswer: -85686650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -274\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*-207*7\/(-42). Let y = 119 + -38. Let k = y - m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -490 + 514 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wuwwwwwwuuwwww.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**6\/9 - x**5\/5 + x**4\/6 + 4*x**3\/9 + 41*x + 10. Let v(l) be the first derivative of n(l). Suppose v(y) = 0. What is y?\nAnswer: -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 7*b - 4*b + 10, 0 = 3*c - 2*b + 25. Let y(a) = 8 - a**3 + 2*a**2 + 0*a**2 - 6*a**2. What is the units digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -5567\nAnswer: -111\/5567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:01 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/66 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6281 - 21*p**2 + 102*p - 102*p + 6296 - 12577.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 761387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249333529 to the power of 1\/2, to the nearest integer?\nAnswer: 15790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 - 14*n**3 + 89 + n**3 - 89 + 3*n**3 + 9*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0 + 0 - 2*k + 2*k - 2*k + (-4 + 2 + 3)*(-2*k + 3*k + 0*k) - 3*k - 4*k + 5*k + 3*k + 0*k - 4*k + 1 - 3*k - 1)*(2*k - k - 2*k)*(-2*k - 2*k + 6*k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/((-1)\/30). Let j(w) = 1. Let f(o) = -5*o**3 - 34*o**2 + 104*o + 678. Let k be f(-7). Let g(m) = 6*m - 30. Calculate k*g(a) + v*j(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.11, 8.8.\nAnswer: -0.3, -0.11, 8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520541 is divided by 12691.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - o**3\/3 + 5*o**2\/2 - 6*o. Determine n(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, f: 3, t: 5, h: 2}. What is prob of picking 1 f, 1 z, 1 h, and 1 t?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 5*l. Let f(z) = z**3 + z**2 + z - 1. Let r(i) = -6*i**3 - 2*i**2 - 2*i. Let s(c) = l*f(c) - r(c). Find the first derivative of s(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, 5, -3 in descending order.\nAnswer: 5, 0, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2280 and 160?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4409846 = -3*q - 809831. Suppose -2*z - 14182 = -2*p + 585816, 4*z + 5*p + q = 0. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2 - 3 + 1 + 748*w - 12. List the prime factors of s(1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, 13 in ascending order.\nAnswer: -4, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -13.7. Let m = -2.7 - x. Let w = -19 + 23. Which is the nearest to m? (a) w (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -31. Let t = y + -2. What is the remainder when 73 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/7)\/((-350)\/(-245)). Let u = -2 - -3. What is the smallest value in u, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 121*a**2 - 5*a. Let k(q) = 60*q**2 - 3*q. Determine -5*k(b) + 3*z(b).\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/7 + 9*r**3\/7 - 27*r**2\/7 - 81*r\/7.\nAnswer: 3*r*(r - 3)*(r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.28 + -199.\nAnswer: -141.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 + 2*x - 14. What is the units digit of n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpppkqkp. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-36) - 6\/27. Suppose -u*o = -35 - 23. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 52, 5 in increasing order.\nAnswer: 3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 - 7. Let n be g(-7). Let t(l) be the first derivative of -l**3\/3 - 5*l**2\/2 - 6*l + 438. Calculate t(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8956, -29.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*k - 113*a*k**2 - 151*k**2 + k with respect to a.\nAnswer: 2*a*k - 113*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + -130. Is -193 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.51705 - -0.06505. What is g rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(272) + -1).\nAnswer: -48*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 0 - 31*k - 18 in the form y*k + i and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j - 2*l + 7798, 2*j - 4*l = 3124. What are the prime factors of j?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:34 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(132) - sqrt(132)*-1) + sqrt(132)) - sqrt(132) - sqrt(132) - sqrt(132)) + -1*sqrt(132)*-1)\/(3*sqrt(120)\/(-2*sqrt(10))).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102221 + -20?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**5\/15 - 5*w**4\/6 - 2*w**3 - 7*w**2\/3 - 4*w\/3 + 8. Factor v(a).\nAnswer: -2*(a + 1)**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-289)\/(-13005))\/((-2)\/(-48)*4)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((40\/(-50))\/((-6)\/15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79031 - 12723943\/161. Let c = -3\/23 - g. Let w(i) = -2*i - 2. Let v be w(-3). What is the biggest value in -0.4, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.00139, 3, 1, 0.13?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 75 = 300. Solve h = 2*x + 47 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64820945677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377256?\nAnswer: 2, 3, 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281512 bigger than -16.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53, 219, 495, 881, 1377, 1983?\n\"Answer: 55*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 215.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*d = 3*m + 3, -2*m - 5*d = 3. Solve 2*s = -9 + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2804\/7 + -402. Let o = 64\/35 + g. Which is the biggest value? (a) o (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3\/4*w**2 - 6 - w - 1\/6*w**3. Factor p(y).\nAnswer: -(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-264*q - 2 + 1678*q + 11*q) in the form p + r*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244795781 greater than 244795778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = -q. Let m = q - 0. Let s = 24 + -17. What is the lowest common multiple of m and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/21070024 and 145\/15802518.\nAnswer: 63210072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52 * 1131884\nAnswer: -58857968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 q, and 1 k when four letters picked without replacement from qkqkqqqqfq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.31 (b) 2 (c) -7852 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/3 + 26*n**3\/3 - 24*n**2 + 38*n - 84. Let h(t) be the first derivative of m(t). Factor h(y).\nAnswer: -4*(y - 12)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/2*4\/(-8). Let b(g) = 10*g**2 + 4*g - 1. Is b(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/11, 2\/21, -1992?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1298)\/(-66) - 21)\/(1 + 5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 - (0 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9630552 and 548.\nAnswer: 9630552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (8 + 1 + 9 - 42)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360104695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 202259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-1)\/1*2. Suppose -78 = -3*p + 33. Suppose 23 = d*l - p. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -1412, -2135, -2878, -3647, -4448, -5287, -6170?\nAnswer: -7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 67*p**2 - 288*p - 279. Let z be c(-71). Solve -3*m - 14 = 2*g, z*m - 4 = -4*g - 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -872*p - 21. Determine y(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064 is divided by 253.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.62 + -0.38. Let y = a - -3.9. Is y greater than 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2267087083.8 + 55.\nAnswer: 2267087138.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52, -113, -198, -295, -392, -477, -538?\n\"Answer: 2*d**3 - 24*d**2 - 3*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/6*(-15 + -72)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140860, -140861, -140862, -140863?\nAnswer: -140864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 = -14, 5*x + 3*b + 19432 = 0. Let a = x - -5877. Suppose -2*o + 3*k = -800, 0 = -5*o + k + 3*k + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.224 and 324.63.\nAnswer: 324.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -381aa81 - 3?\nAnswer: -381aa84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/14, -1 in descending order.\nAnswer: 1, -1\/14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*r**2)*(-1 + 1 + 1)*(-39 + 21 - 6 + r) to k*r**2 + z + q*r**3 + u*r and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fit when three letters picked without replacement from iqpfifftfffp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760*d - 17093 = 40314 + 1798 - 4645 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 16*o**2 + 2*o + 33. Calculate w(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 590, 2031, 4840, 9473, 16386, 26035, 38876?\nAnswer: 55365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*q - 35327867*l**3 + 66692*l*q - 173*l - 2*q wrt l.\nAnswer: 6*l*q - 211967202*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 4 = -9*c. Let g be ((-3)\/(-12)*-2)\/(c\/(-8)). Solve g*q + 4 = -4*x, -4*q - 10 = -2*x + 3*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 26. Calculate r(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:07 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191.5 + 188.5. Is -0.128 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -11*k**2 - 6*k**2 - k**2 + 32 - k - 25 - k**3. Calculate the smallest common multiple of 5 and z(-18).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + w + 40 = 0, 581*w + 35 = -5*p + 578*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.023, 1\/3, 5, 1\/7?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218925 = -68*u - 24*u - 13*u. Which is smaller: u or 2084?\nAnswer: 2084","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 0.07, 1, -1, 0.1.\nAnswer: -1, 0.07, 0.1, 1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5 = 2*c. Let v be c + 18 + 3 + -4. Solve -2*h + 5*b = v, 4*b - 1 - 11 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-9)\/(-2)*(-4)\/26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -4, -11, 0.1, 249, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 11 + 223. Suppose -11*x = -12*x + r. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8416*j**5 - 2*j**4 - 10*j**3 + 16*j**2 + 57*j + 69 wrt j?\nAnswer: -504960*j**2 - 48*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4673169*p**2. Let z(o) = -o**2. Calculate z(h(f)).\nAnswer: -21838508502561*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-170)\/(-8) + 2\/(-8). Let k be 6 - 4 - 14*1. Let s = q + k. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/(4\/(-2)). Let o be 4\/(-22) - 120\/(-297). Which is the closest to q? (a) o (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2. Let i(f) be the second derivative of f**5\/30 - 3*f**2\/2 + 2*f. Let p(w) be the first derivative of i(w). Give p(z(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.06. Let c = u - 0.14. Let a = 3.6913 + 0.3087. What is the nearest to 2 in a, c, -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w. Let l(h) = -4*h + 185 + h - 6*h - 185. Calculate l(o(c)).\nAnswer: 153*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -18 - 29 - (0 + (-1 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45659*s**3 + 8558662*s wrt s.\nAnswer: 273954*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 0*u**2 + 2*u**2 + (3*u + u - 3*u + (3 - 3 - 1)*(0*u - 3*u + u) + 38 - 9*u - 38)*(2 + 3 + 30*u - 3) to i*u**2 + v + j*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 224 (c) 2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.361 smaller than -1950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 + 1095*x\/7 + 5550\/7.\nAnswer: -3*(x - 370)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16637940 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1540 (base 12) in base 13?\nAnswer: -7469a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -105. What is the greatest common factor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 107 = -139. What is the closest to 3\/10 in u, 5, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1808\/2583 - 30\/41. Let h = -16\/63 - l. What is the nearest to h in -2, -1.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -79*h + 82*h. Put h, -3, 11 in descending order.\nAnswer: 11, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213944 divided by 4\nAnswer: -53486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 2289681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*q**2 + 155*q**2 + 166*q**2.\nAnswer: -47*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**4 - 1 + 1)*(6 + 3 - 3)*(1 - 3 + 0) to h*n + v*n**2 + s*n**4 + g + j*n**3 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/63*(-119)\/170.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(112)\/sqrt(2))\/sqrt(8) - 1*sqrt(63)) + 2)**2*-6.\nAnswer: -194 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - f + 0*f. Let v = 38 + -53. Let g(m) = -14*m + 46*m - 24*m - 11*m. What is v*u(s) - 6*g(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 0*a + 2*a)*(0 + 8 + 2)*(-3*a - 2 + 2) to the form h*a**2 + d*a + l and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n. Let s be c(-1). Suppose s = 4*a - 1 + 9. Let x = a - -6. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111220431 (base 5) in base 15?\nAnswer: 9ab96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 155280 to the nearest 100.\nAnswer: 155300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70221 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(-2 - 12 - 12)*(0 + 48*u - 26*u - 2).\nAnswer: -1716*u + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 2. Let g be u(-2). Let k be (-2000)\/(-72) - 4\/g. Suppose -9*y = -5*y - k. Calculate the highest common factor of 77 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - 7*k - 17. Let o(j) = -j**2 + 2*j + 5. Let b(x) = -7*o(x) - 2*r(x). Let h(l) = 2*l - 3. Calculate 2*b(i) - h(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 325*m + 2520.\nAnswer: 5*(m + 9)*(m + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3132814 * -0.2.\nAnswer: 626562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + 6. Let a be p(6). Suppose s - a*s = -40. Let v(q) = -2*q**3 - 3*q**2 + 2*q + 2. Calculate the remainder when v(-3) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.90041217 to three dps.\nAnswer: -16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -49, -79, -111, -145, -181?\n\"Answer: -h**2 - 25*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 1. Let j(a) = -6*a + 1. Calculate 5*j(s) - 8*p(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/101, 2\/9, -4?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssfssizsisnssq. Give prob of sequence sz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11 + 1)*(i + 2*i - 4*i)*(-2 + 2 + 3).\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:14 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z - 1. Let c be n(2). Suppose c*m = 26 - 6. Suppose m*x + 96 = 5*g, 42 = 2*g - 0*x + 2*x. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*o = -264. Let i = o + 55. Let t = -24 + 46. What is the least common multiple of t and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158825 (base 9) in base 12?\nAnswer: 48b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 8393040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (4 - 2)\/(90\/(-6615)) is divided by 141.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5502*j - 66766. Determine b(12).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v + 16. Let j(i) = -i**2 + 7*i + 10. Let d be j(v). What is the second derivative of -2 + d + 3*y**2 - y wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182862 (base 9) to base 15.\nAnswer: -23a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 + 173*h + 43. Is t(-18) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136723 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 2:24 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28148, -28141, -28132, -28121, -28108, -28093?\n\"Answer: i**2 + 4*i - 28153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutuuuuut. What is prob of sequence ut?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11755499, 23510992, 35266509, 47022062, 58777663, 70533324, 82289057?\nAnswer: 94044874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -17\/16392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8159.577 micrometers in nanometers?\nAnswer: 8159577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 28, 0.018, -1 in ascending order.\nAnswer: -1, 0, 0.018, 0.1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 + 2*l**3 - 3*l**3)*(1371*l - 236 + 450 - 214 + 2162*l) to the form k*l**3 + y*l**4 + x*l**2 + g*l + i and give y.\nAnswer: 3533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -2*s + 2*o, 5*s + 2*o + 17 = 0. Let w be s + (-4)\/14 + (-130)\/35. Is (-3)\/3*1423*(6 + w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(24\/32)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -9 (c) -1345\/9 (d) 327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 3*z - z**2 + 11\/6*z**3 - 1\/5*z**5 - 7\/6*z**4 + 0 - 1\/6*z**7 + 8\/15*z**6. Suppose c(s) = 0. What is s?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -1 + 5. Suppose -4*s - 4 = -b*n - 6*s, n = s + 12. Let v = -5 + n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -546 times -0.3\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 205021.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezzzzezze. Give prob of picking 2 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*c = 2*c + 7, c - 13 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533260068 and 11616?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 23. Determine r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1 + -1)**2 + (-1 + (2*sqrt(11))**2 - (sqrt(11) - (sqrt(33)\/sqrt(3))**2 - sqrt(11))*1) - 5*5*-2*(sqrt(99) + (sqrt(99) + 0)**2).\nAnswer: 130*sqrt(11) + 5283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11100011111101100?\nAnswer: -11100011111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, -1\/2, 0.5, -1\/4, 0.3, -4.65?\nAnswer: -4.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 7*x + 4*x)*(-291 - 10 - 137)*(-2*x + x**2 - x**3 - x**2).\nAnswer: 3066*x**4 + 6132*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nineteen quarters of a microsecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 40019, 162, -5 in increasing order.\nAnswer: -5, 21, 162, 40019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 27*n - 30. Let t be z(-15). Solve 3*s = 4*c + 20, -c = -4*c - 4*s - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvvvmvvvvvvvvvvvvvv. What is prob of sequence vmv?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4586 - 1?\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3272526476 - 120.3272520776. Let q = -151 - -271. Let b = q + g. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 311. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 23\/2 (c) -5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-21) + 2\/(-6) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6904 = 5*w, -5*t + 1106 = -4*w + 6607. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429137981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 2)*(12*w + 19*w - 71*w)*(-2 - 2 + 3) in the form y + v*w and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 3. Let m be c(-3). Let b(s) be the third derivative of s**4\/12 + s**2. Let n(q) = 2*q + 1. Let w(u) = 3*b(u) - 2*n(u). Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 116, 0.1, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1 + 8*f**2 + 12*f**2 + 4*f - 19*f**2. Calculate the lowest common multiple of 4 and g(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.4 + -1314658244.\nAnswer: -1314658273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/23, -0.4, 411, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - n - 21 = l, -2*l = 5*n - 7. Let d = 16 - l. Solve -4*h + 3*p - 3 = 0, d*h + 4*h = -5*p - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14926812 take away 2?\nAnswer: -14926814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 6 + 18. Solve 6*l = a*l + 5*o - 25, l = -o - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9426237701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 35*p + 2663. Determine l(-55).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2574\/126 + -20 - (-6084)\/14. What is the greatest common divisor of n and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:28 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, 0.2, 4, 10\/7, 2\/7, 26?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501 (base 6) to base 2.\nAnswer: -10110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(0 + sqrt(112)) + (sqrt(112) - -2*sqrt(112))*2)**2.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v + 1. Let j(z) = 8*z**2 + 3*z - 3. Let u(r) = -j(r) - 3*x(r). Let d(s) = 2*s**2. What is d(u(t))?\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 13.91. Let f = 149.91 + -149. Let i = y - f. Which is the closest to i? (a) -0.2 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2. Let r(f) be the first derivative of -2*f**3\/3 - 35. Give r(t(m)).\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 80 = 3*p. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 7. Let u(t) = t - 1. Give -5*u(r) + w(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/60 - c**4\/6 - 5*c**3\/6 + 2*c**2. Let m be 2*(-2 + -1 - -1). Is f(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 - 34 + 18)*((-i**2 + 3*i - 3*i)*(-33 + 33 + 12*i**2) - 2*i**4 + 3*i**4 - 2*i**4) as g*i**2 + f*i + j*i**3 + v + o*i**4 and give o.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Let r = u + -4.05. Let w = r - -0.044. What is w rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, 1, 0, -2 in descending order.\nAnswer: 239, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 28*m**5 - 16904*m**4 + 2615380*m**3 - 19260280*m**2 + 11688752*m + 4973024 = 0.\nAnswer: -2\/7, 1, 7, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggb when three letters picked without replacement from abgaggbgbggg.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -3.\nAnswer: 178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1813741.\nAnswer: 1813741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 3, w: 4, e: 5}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 321*t**2 - 651*t - 327.\nAnswer: 3*(t - 109)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 374, 854, 1660, 2792, 4250, 6034?\n\"Answer: 163*l**2 - 9*l + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*u = 381*u - 187*u - 16. Which is the closest to -0.015? (a) 5\/3 (b) u (c) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 - 7*k**3 - 654 + 2*k**2 + 10*k**2 - k**3 + 377.\nAnswer: -8*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288\/(-4048)*((-30)\/(-35))\/(-3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**5\/15 + t**4\/3 + 8*t**3\/9 - 8*t**2\/3 - 566. What is g in s(g) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-1 - -2)) + (-3)\/(-1). Let z(o) = -2*o**3 + 9 + o**3 + 0*o**3 + 5*o**2 - 3. Calculate z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000017617 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-60)\/96*6\/(-5). Which is the fourth smallest value? (a) x (b) -9\/5 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(10\/9))**(-33)\/(b**2)**(-25) assuming b is positive.\nAnswer: b**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224090.\nAnswer: 2, 5, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5518300 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-796515)\/(-10)*140\/105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3763*z**2 - 464 - 3787*z**2 + 466.\nAnswer: -24*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((300\/135)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210 - -1201101222?\nAnswer: 1201120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 2. Let d be h(-2). Suppose -6 = -2*m - d. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(3\/10)*w))\/w)\/(w\/w**3))\/(w**(-6\/11)*w*w*w*w\/(w**(-3\/7)\/w)*w)*(((w\/w**(2\/9)*w)\/w)\/w**(-4\/11))**(-19) assuming w is positive.\nAnswer: w**(-179279\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4\/8)*-2. Let x be 3\/(o\/2)*1. Suppose 5*q + h - 387 = 0, -2*h + 312 = x*q + 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 193?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z)\/(z*z*z\/((z\/(z*z*z\/(z*z**1)))\/z)*z*z)*((z\/z**(-6)*z)\/z)\/((z\/(z\/(z**(-2\/5)*z*z)))\/z) assuming z is positive.\nAnswer: z**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -5*g. Suppose 0 = -5*p + 2*c - c, 0 = -3*p + 5*c - 22. What is the remainder when g is divided by 6\/(-1 + p + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/2*117\/6. Suppose -h = -4*k + 29. Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 2\/5, -1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**8\/23520 - m**7\/8820 - m**4\/12 + 9*m**3 + 7*m**2 - 1. Let d(a) be the second derivative of z(a). Solve d(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) 4 (b) 0.22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = 3*x, 5*d + 16 = -9. Solve 0 = x*c - 3*r - 9, -r = 3*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/5)\/((t**(5\/4)\/t)\/t)*(t**(-2))**48 assuming t is positive.\nAnswer: t**(-1893\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1488 - -10414\/7. Put 3, 1, h in ascending order.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740442801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308280, 5233126, 11774534, 20932504, 32707036, 47098130?\nAnswer: 64105786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9022\/117 - 2\/18. Suppose 79*r - h*r - 28 = 0. What is the remainder when 220 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, c: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*z - 12562 = 266418. Calculate the greatest common divisor of 65 and z.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*q + 2150, j - 4*q + 5375 = -4*j. Let t be 204\/50 - (-86)\/j. Find s, given that 36\/7*s**3 + 0*s + 4*s**t + 8\/7*s**2 + 0 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 - -717 - (182 - 2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 3198 = -1134 - 1588. Solve 114*i + 34 - g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + q - 40 = -2*z, 4*q = -2*z + 28. Let n = z - 12. Calculate the highest common factor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18661 is divided by 256.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 + -13)\/((-1)\/2). Suppose i*r - 3209 = -85. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2072 by 32.\nAnswer: -259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 64. Suppose 6*m = 4*m + 40. Calculate the remainder when i(-7) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-10) - 267\/(-20) and -20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*x + 25, 2*x - 4*x = -z + 25. Suppose -h + 5*p = -4*h - 16, 5*h - 2*p - z = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 1. Let d(r) = -18*r**2 - 4. Let j(h) = 35*h**2 + 9. Let x(u) = -5*d(u) - 3*j(u). Let t(w) = -22*b(w) + 2*x(w). Differentiate t(v) wrt v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(833))**2 + (2*sqrt(17) - sqrt(17))*-3 + sqrt(17)).\nAnswer: -9996 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 4*k + 16. Let j be i(-7). Let q = 2277 - 1464. Is ((-5)\/j)\/(3\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4 - 36*g**3 - 410*g**2 - 1500*g - 1125 = 0. Calculate g.\nAnswer: -15, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51476945 divided by 3.\nAnswer: -51476945\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3646*m + 102797 = -108671 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2*3\/9. Suppose 14*a - 14 - 14 = k. Suppose -51 = -3*m - 2*m - a*j, m = 4*j - 3. What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/45 and 19\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0423787 to four dps.\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-19 - -2) - (1 - (-41 + 4))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 7*f - 18. Suppose -4*a = 2*n + 26, 0*a + 2*a + 16 = -2*n. What is the units digit of p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2497 - -2497.1009. Let j = 0.1 - q. What is j rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -0*j. Suppose -j*y + 17 = -4*y. Let a = -17 - y. Solve -5*o = -4*q - 27, -5*q - 18 = -a*o - o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 - 830 = -68*d. Calculate the remainder when 400 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 16*w**3 - 2999 + 3006.\nAnswer: 14*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11550 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36367*q**3 - 18162*q**3 - 18200*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = u - 0, -5*u - 4*i = -19. Let r = 30 - 33. Put 0, r, u in descending order.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 3. Suppose 0 = -f + 2*q - 8, -7 = u*f - 4*q + 9. Suppose f = -10*w - 1119 + 6329. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -11. Suppose -63 = -5*t + o*t. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 5*i - 2*i)*(-i + 1 - 1)*(0 - 11 + 0)*(-2 - 1 + 2) in the form t*i + r*i**2 + g and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 42, 99, 178, 279?\n\"Answer: 11*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/40932364 and -49\/10678008.\nAnswer: 245594184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 823480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597589 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 264*o - 4332. Calculate h(14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 538 - 510. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*b - 170 = -2*o, -4*o + 4*b + 372 = 0. Let h = o - 69. Find the second derivative of 50*d - 10*d**4 + 14*d - h*d wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 8*v + 216. Let j be m(19). Solve -j*t + 6 - 13 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let v(f) = -2*f + 54025981. Calculate v(s(q)).\nAnswer: -2*q**2 + 54025981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1400, -2738, -4076, -5414, -6752?\n\"Answer: -1338*d - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:41 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (0 - -16) + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3767*b**3 - 6*b**2 + 3*b + 582. Let z(x) = 7534*x**3 + 14*x**2 - 7*x - 1165. Let r(y) = 7*j(y) + 3*z(y). Differentiate r(i) with respect to i.\nAnswer: -11301*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f**18)\/f)\/f)**(-27) assuming f is positive.\nAnswer: f**(-486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410389.8 milligrams in kilograms?\nAnswer: 0.4103898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, m: 4}. What is prob of picking 1 i and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1.599579.\nAnswer: -1.599579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 b when four letters picked without replacement from {e: 1, w: 3, b: 5, g: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 + -262. Let r be -4*(-1)\/k*4. What is the closest to r in 5, -87, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374954, -749875, -1124796?\nAnswer: -1499717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x - 6. Suppose -2*d + 16 = 2*d. Let g(w) = -w**3 - w**2 - 6. Let f(b) = d*g(b) - 3*m(b). What are the prime factors of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -138*s**5\/5 - 2*s**3\/3 + 134*s + 739. Find the third derivative of p(g) wrt g.\nAnswer: -3312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i - 6*i - 2*i. Let f(x) = -9*x. Give f(o(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 6*i - 11. Suppose 5*p = 4 - 14. Let r be z(p). Solve -r*g + 3*j = 35, 6*g - g = -4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24777809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 747\/2490 + 286\/(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91343743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**6 - 3598*d**4 + 4*d**3 + 1803*d**4 + 1795*d**4 - 103*d**2 wrt d?\nAnswer: -840*d**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -32 (c) 1 (d) 5 (e) -19\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:23 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251842686.\nAnswer: 2, 3, 23, 1824947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4248386 to 2 dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 359, 369, 387, 413?\n\"Answer: 4*f**2 - 2*f + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 13. Let s be u(17). Sort -39, s, 2, -3 in increasing order.\nAnswer: -39, -3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 + 759. What are the prime factors of g?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035357566 rounded to 7 decimal places?\nAnswer: -0.0003536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-1161)\/3870?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 12*v**3 - 6*v**3 + 4 + 4*v**3.\nAnswer: 18*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - (-16)\/(-2))*(9 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001100 - 101?\nAnswer: -1011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*p + 3*a, -2*p + 22 = -12347500*a + 12347504*a for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 154?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 2\/7, -0.8.\nAnswer: -5, -3, -0.8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1024*v + 6179. Determine n(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 112*s - 926. Let f be w(-9). Sort 63, f, 5, -3 in ascending order.\nAnswer: -3, f, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpl. What is prob of sequence phl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13318875*x**2 - 6227746 wrt x.\nAnswer: -26637750*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 36 = -3*o + 19, -o + 15 = z. Solve 2*i - o + 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 - 2*z**2 + 8 - z + 14 + (3 + 0 + 0)*(6*z - 6*z**2 - 6*z).\nAnswer: -20*z**2 - z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824.562367 rounded to the nearest ten?\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = r, -5*b = 3*r - 0 + 6. Suppose -r*o = -9, -4*o = 3*i - 3 - 24. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 14 - 14. Solve -24 = 2*l - 5*b - t*b, 5*b - 22 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 13 + 26. Let m = i - -27\/2. Let f = -33 - -28. What is the smallest value in 0, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 41. Let w be 48\/(6\/t) - 0. Let f = w + -21. Solve 0 = -2*s - 3*y + 13, s - f*y + 0 = 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*p - 33 = 0, -5*s + 5*p = -0*p - 15. Let c(z) = z**3 + 7*z**2 + 5*z - 2. Calculate the remainder when c(-5) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsn when three letters picked without replacement from {s: 3, n: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23177 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77591 times -0.6?\nAnswer: -46554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -266?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5 + 5)*(-3 + 3 + 2) + 2 - 2 + y - 1 - y + 1 + (-2*y + 1 - 1)*(2 - 1 + 0) + 1 - 2*y - 1.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-5*sqrt(18)).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36029 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, k: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 136 + 49*c)*(c - 3*c + c).\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/235 + 231\/470. Let w = -0.24 + -10.76. Let z = w + 9.6. Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 - 2*z - 12. Let a be j(4). Suppose a*y + 1200 = 17*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 8*o - 10*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 82 - 53 = 0. Suppose p + 5*g - 18 = 2*g, -3*g = -4*p + s. Solve 3*z + 0 + p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 24 = 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7777)\/(-11))\/((-1)\/(-3)). Let a = j + -970. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/11723022 and 143\/1116?\nAnswer: 23446044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + -3 + -1 - 11. Let m = 36\/5 + -34\/5. Which is the smallest value? (a) d (b) -2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-5) + (-27)\/(27\/(-2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Let k(g) = -14*g + 18*g + 16*g + 40 - 14 - 7*g. Is 21 a factor of k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((988\/(-52))\/76)\/((-150)\/(-125)).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11561 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396547039*i**4 + 34*i**2 + 8507904.\nAnswer: -9517128936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-12)*r*r*((r\/(r**5\/r*r))\/r*r)\/r)\/(r\/((r\/r**(-1))\/r))**(-28))**(2\/5) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 125 = -57*j + 128 + 65 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-12)*-6*(-1)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 - y**5\/12 - y**4\/24 + 2*y**3 + 26*y**2. Let p be g(-4). Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbbbbpbb. What is prob of sequence bbp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from oeyyyyyeytttttyta.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.85722nm in millimeters?\nAnswer: 0.00005285722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*b + 96 = 0, -3*b - 32 = -2*v + 3*v. Let d = v - -74. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 7*i**5\/2 + 19*i**4\/2 - 38*i**3 + 10*i**2 = 0?\nAnswer: -5, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - -5 - 4 - -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -f + 16, 14*t = f + 10*t - 16. Solve -5*v = -6 + 16, -5*n - f = 3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + 0.1. Let o = r + -0.805. What is o rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Suppose -2*y = -s - x, 4*y = s - 4*s + 47. Calculate the lowest common multiple of 1 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**4\/p)\/p)\/p*p*(p*(p**(-1\/9)*p)\/p*p)\/p)**18 assuming p is positive.\nAnswer: p**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u + 52*u**2 - 16 + 0 - 40*u**2 + 0*u**3. What is q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 494 in ascending order.\nAnswer: -1, 0, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9675 - 0.0325. Do 119 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -697\/1325 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 - 8*b. Suppose -o + 3*o = 4*t + 8, 2*o + 4*t - 32 = 0. Let j be x(o). Solve 0*r + j = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 159402*v**3 - 797136*v**2 - 2710026*v + 3347757 = 0. What is v?\nAnswer: -53139, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492827 is divided by 4205?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let o(i) be the second derivative of 5*i**4\/4 - i**3 - 6*i**2 + 9*i. Let z be o(5). Calculate the common denominator of z\/150 + (-5)\/25 and 25\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13744 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 7}. Give prob of picking 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 47. What is the lowest common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 23*p**2 + 120*p + 234. What is the remainder when j(-28) is divided by 161?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:46 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38453944199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(2\/((-50)\/15)*-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 6 - (2 - 2). Let x be -3 + z\/6 + -3. Which is smaller: -6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 8490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8844, 70880, 239274, 567204, 1107848?\n\"Answer: 8863*l**3 + l**2 - 8*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*a + a**4 + 0*a**3 - 58*a + 3*a**3 - 2 + 0*a**3 + 20*a in the form n*a**4 + k*a + i + u*a**2 + p*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 54, 95, 132, 159, 170, 159, 120?\n\"Answer: -j**3 + 7*j**2 + 25*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myoyymmymng. What is prob of sequence mm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-47)\/(r*r\/(r*r\/r**(-2\/7)))**(-1\/36) assuming r is positive.\nAnswer: r**(-11845\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2010407 (base 9) to base 12\nAnswer: -4370ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 47 - 17. Let h = -34 - -58. Let p be h\/10 - (-2)\/(-5). What is the greatest common factor of x and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 + 2*z + 4. What is the remainder when u(-8) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a millennium in centuries?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -2)\/(6*(-11)\/(-66))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a day in minutes?\nAnswer: 21240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955 - 1779 + 1216 = 49*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21143 - 15226. Calculate the greatest common divisor of o and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10758 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*p - 4775 + 3347 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8210, 16448, 24686, 32924?\n\"Answer: 8238*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqqkkkqkk. Give prob of picking 1 q and 3 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:40 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*r - 607 = 313 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 10.35383.\nAnswer: 2.070766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708664, 708673, 708682?\nAnswer: 708691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 1, b: 6, s: 2, n: 6, o: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 15*c**2 + 16*c - 1. Let s be h(-16). Let n be s\/((-4)\/12*-1). Let t = 7 + -11. Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 9*w**2 - 7*w**2 - 4*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 16) in base 14?\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20211, -40406, -60551, -80640, -100667?\nAnswer: -120626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48844 is divided by 284?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p. Let h be o(0). Let y be 0 - h - (2 + -4). Let x be (-14)\/6 - y\/(-6). 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 2496 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*i*q*x + 195907*i*q + 93*q*x - 3494 with respect to i.\nAnswer: 47*q*x + 195907*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375768, 751542, 1127322, 1503108, 1878900, 2254698?\nAnswer: 2630502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.5979 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6 + 5 + 11*v**2 to c*v**2 + u*v + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(3\/2)\/(-3). Suppose 0*h + 1 = 3*h - 4*m, 2*m - 4 = 0. Let i be (0 - h - k) + 6. Solve 2*d - 2*o = -o, i*o = -4*d - 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 times -5315?\nAnswer: -377.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.1, 2\/24633?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/66 + 8*v**3\/33 + 48*v**2\/11 + 4*v + 4. Solve r(j) = 0.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*m + 35 = 0, 14 = 5*j - 5*m - 56. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*j + 23 = -3*i, i - 17 = 4*j. Solve 4*h = i + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 1\/3 (b) -3 (c) 2 (d) -2 (e) -2691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(2 + -3). Let p = -3 + 3. Let j(x) = -x**3 + x. Let h be j(p). Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 - 6*s + 1. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:30 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 8*t. Solve 2*o - 6*o = t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*z + 3 = 2*z, 4*a = -3*z - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5\/2 - 57*n**4 - 297*n**3 + 894*n**2 + 597*n\/2 - 837 = 0. Calculate n.\nAnswer: -31, -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, 44, 5 in ascending order.\nAnswer: -3, 0, 4, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0 + 0*c + 2\/5*c**7 + 8\/3*c**3 + 2*c**4 + 11*c**2 - 11\/15*c**6 - c**5. What is z in b(z) = 0?\nAnswer: -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.8, 0.5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 69. Let f = -1.01 + -6.99. Let s = f - z. Which is the second smallest value? (a) 2 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1489095281 - 1489095268.499999816. Let c = -12.5 + i. Round c to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - f + 4*f = 72, -5*f = -2*k + 10. Let q = -14 + k. Suppose 25 = 5*u, -2*w + 4*u - 22 = -6. Solve c - w*c = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02440198266 rounded to 6 dps?\nAnswer: 0.024402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + (-1246)\/77 - 40\/22)*15\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -2*(-2)\/4. Suppose 489 = -3*d + 162. Let m = 104 + d. Sort 5, b, m in increasing order.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 886, -4 in descending order.\nAnswer: 886, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + 2 + 10 + -55. Let h = n - -166. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inqnk. What is prob of sequence qnq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2905*t + 800. What is the tens digit of o(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4882575 and 1575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**4 - 2943*g**3 + 20811*g**2 - 41742*g + 23880 = 0.\nAnswer: -995\/2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 12*j**2 + 39*j - 258. Calculate k(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 + 173. Let y = -31 + m. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.981 + -0.263. Let d = 2.5193 - j. Round d to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - 7*y**3\/6 - y**2 - y. Suppose -80 = 3*f - 72 - 38. Calculate the smallest common multiple of s(8) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**3\/7 - 222946*t**2\/7 - 1553306584*t\/7 - 388312712\/7.\nAnswer: -2*(t + 13934)**2*(4*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 4*x + 5. Let w(c) = c**2 - 3*c + 4. Let b = 559 + -561. Determine b*a(l) + 3*w(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - f - 37, 4*w - 5*f = -36 - 7. Let s = 509 + -3555\/7. Calculate the common denominator of s and (6\/w)\/((-4)\/(-118)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 58*b**3 + 5*b**2 - 59*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 4*q + 3 - 3 + 25*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y**3 - 4*y**2 - 6*y - 6. Let f(m) = m**2 + m + 1. Give 6*f(v) + r(v).\nAnswer: -15*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 + 763*x + 4963. What is k(-6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2417 - 4362. Does 8 divide 6\/14 - m\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 3, k: 1, a: 3, j: 2}. What is prob of sequence jk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(5953 + 5956 - 11909 - 847*k**4) as u*k**3 + p*k + a*k**4 + v + b*k**2 and give a.\nAnswer: 1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:26 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186388*f**3 + 2*f**2 - 4*f + 1715041?\nAnswer: 559164*f**2 + 4*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 0.5 (c) 0 (d) -83 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380.70011663 + 380.7. Round p to six decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + 132. Let i = -7 - j. Suppose 10 = -5*s, -6 - 36 = -w - s. Calculate the remainder when w is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*f + 3, f + 9 = -2*d - 2*d. Suppose 0 = -r + 3*t + 7, -2*r + 0 = -f*t - 11. Solve -r*y = -8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {v: 2, x: 6, d: 1, t: 4, e: 1, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28874 = -4*d - w, 3*d - 3*w - 16246 - 5387 = 0. List the prime factors of d.\nAnswer: 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24940.\nAnswer: 2, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*a + 550, -212 = -5*h - 4*a + 469. Suppose 22 = 3*w - h. Solve 12 = -49*g + w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-6)\/8)*48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 7*l**2 + 25\/24*l**4 + 0 + 0*l - l**3. What is the units digit of n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*d - 6 = 0, 2*w + 3*d = -2*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s**3 + 5*s**2 + 5*s. Let w(g) = -176*g**3 - 32*g**2 - 32*g. What is -32*d(p) - 5*w(p)?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32034.51 meters?\nAnswer: 32034510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 500e1 (base 15) in base 11?\nAnswer: 163376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135949 (base 13) to base 6.\nAnswer: -14021451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -193*d - 194. Determine n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-10)\/(-10))\/((-1)\/72). Let o = 78 + n. Calculate the remainder when o is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -24 + 56\/27*j**3 + 4\/9*j**2 + 28\/9*j**5 + 25\/27*j**6 + 0*j + 23\/6*j**4. Let f(h) = 0. What is h?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 44. Let g be b(13). Let m(c) = 4*c**2 - 8*c - 32. Let i be m(g). Suppose i - 36 = 3*h. What is the smallest common multiple of h and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2215 + 26*r - 2211 + 6632 - 2206.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -237*i**3 + 12*i**2 - 95*i. Let c be x(35). What is c rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 4, 1, 5 in decreasing order.\nAnswer: 5, 4, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 + 41*v - 15 - 21)*(3*v + 5*v + v) as p*v**2 + a*v + b and give p.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2. Let x(m) = -17*m + 19107. Determine x(s(p)).\nAnswer: -170*p**2 + 19107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33600.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -g, 5*g - 12 - 4 = 4*r. Suppose 2*w + 4*n = 10, -5*n + 20 + 12 = -g*w. Let s(d) = -d - 4. Determine s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m + 8. Let w(a) = -15*a + 10. Let x(b) = -5*f(b) + 4*w(b). Let i(z) be the third derivative of -3*z**4\/8 + 6*z**2. Calculate i(x(o)).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*8*(-4)\/48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2 + 5*d**2 - 7 + 2*d as o*d**2 + j + q*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1031 - 295 = -4*f - 2*a, -f + 3*a = -321. What are the prime factors of f?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x. Let u(t) = 66*t. Let f(o) = -63*a(o) + 3*u(o). Let s(c) = -3*c. Determine f(s(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608939 is divided by 2351.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2725220 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 58 = 0. Suppose -4*d = -z + 6. Let y = 2 + d. Solve 5*b - 5 - y = c, 3*b = 5*c + 34 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -22*j**2 - 2*j - 41. Let b(y) = -10*y**2 - y - 19. What is 5*b(n) - 2*q(n)?\nAnswer: -6*n**2 - n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -1077140?\nAnswer: -1077132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16133121 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*(0 + 1 + 0)*(j - 4 + 4).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7833490 to the power of 1\/2, to the nearest integer?\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 4*x - 1. Suppose c - 6 = 4*j + 3, 0 = 4*c + 3*j + 21. Give y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8966.701 nanograms?\nAnswer: 8.966701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -1.34 (c) 3\/4 (d) 4\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 66?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 2, r: 1, k: 3, d: 7, s: 3}. What is prob of picking 1 u and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3160047 is divided by 88?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-5 + 11 + -15 + 5)) + 80 - 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017 is divided by 128.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 323496001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3 - (-2 - 2)). Suppose m - 6 = -4*c. Let i be 2 - 7 - (-2)\/c. What is the second biggest value in 0.5, 2\/3, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**10\/(r**(-1\/2)\/r))\/((r**(-10)*r)\/r**(3\/13)))**23)**(-44) assuming r is positive.\nAnswer: r**(-272734\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/6)*q\/(q\/(q*q*q\/((q*(q**(-4\/3)*q)\/q)\/q*q)))*(q**(-1))**(-1\/33) assuming q is positive.\nAnswer: q**(299\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149123*x**2 - 61379*x?\nAnswer: 298246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 7*q - 1\/3*q**4 + 0*q**3 - 2*q**2. Differentiate c(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m + 9*u = 85*m - 110466, 3*m = 3*u + 82842. What are the prime factors of m?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -1 + 3 + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1381014244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*((-7)\/(-4) - (-54)\/(-27)). Which is the third biggest value? (a) 0 (b) i (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3018 + 0.0588. Let x = t + -8.657. Which is smaller: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 10*w**2 - 9*w + 5. Let c be z(-9). Suppose c*l - 10 = -0. What are the prime factors of (l\/4)\/((-1)\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 9213 = 2685. Let n = -2 - -18. Calculate the greatest common divisor of n and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -2.2. Let v = x - -1.8000047. What is v rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 o, and 1 h when four letters picked without replacement from {d: 1, h: 2, o: 3, i: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 12*f + 3*f**2 - 7*f**2 + 2*f**2 - 1 - 2*f**4 to p + l*f**4 + m*f**2 + d*f**3 + o*f and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10831 or -483?\nAnswer: -10831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -830 and -820 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d - 60. Let p be w(-5). Suppose p = 4*g - 3*g + 16. Is g not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-1)\/(2\/(-12)). Solve -2*q + 2*z = 0, z = c*q + 3*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306.808969 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1675*h + 215*h + 35040 = -30660 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12904258926 - 0.2.\nAnswer: -0.07095741074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 711662 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97dd4 - -b?\nAnswer: -97dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 8*w - 20*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 13*z - 36. Let a be p(9). Suppose -46*g + 20585 + 26611 = a. Is g a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04424 + -5.04424. Which is the fifth smallest value? (a) -4 (b) -0.3 (c) -13 (d) 0.1 (e) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51922?\nAnswer: 2, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = 0. Let a = t + -4. Let x be 6\/9 - 5\/3. Put 0, a, x in increasing order.\nAnswer: a, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/137?\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a - 7*a - 168 = 4*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81051204.\nAnswer: 2, 3, 13, 53, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*v + 108, 4*p - 3*p - 2*v - 23 = 0. Solve -28 = 4*c - 2*q, 5*c + 3*q - 2*q = -p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4745 = 14*v + 64*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 6?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117648 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + g = 91 - 146, -4*b - 3*g + 56 = 0. Suppose j + 2 - 10 = 0. What is the smallest common multiple of j and b?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 16*p - 13 = 21*p, u + 1 = -p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/221 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1010413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 838*h - 839*h + 19, 0 = h + 1. Solve 0 = -5*q - 5, -n*z + 0*q - 3*q = -13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(8)\/sqrt(4)))\/((sqrt(108)\/sqrt(3))\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 11*n - 18. Calculate the remainder when 106 is divided by w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 13. Let v = 35 + 3. Suppose c - 2*j = 5, 3*j - v = -2*c - 3*c. Let z be d(c). Is z not equal to -18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 2732*h + 19 - 2733*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685932 to the power of 1\/2, to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/4*(-28)\/7. Suppose w + 23 = 2*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73\/12 + -16\/3. Let i = -135 + 134.8. What is the biggest value in k, 0.22, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 13. Let c be y(-9). Let z = -20 - c. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -69*p - 6*p**2 + 22*p**2 + 2*p**2 + 13*p**2 - p**3 + 14. What are the prime factors of r(28)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/2*460\/(-138). Suppose 5*d - 3*b - 619 = 0, -2*d + b + 252 = 2*b. Suppose 2*q = q + d. Calculate the greatest common divisor of u and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - 0.2. Let s = -0.457 - 1.543. What is the nearest to -1 in s, 0.4, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 4022 = 4582. Sort 9, h, 0 in decreasing order.\nAnswer: 9, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/135809 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuttttutttttutt. Give prob of picking 2 u and 1 t.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**(-6)*f))\/f*f**(-1\/6))\/((f*(f**(-2)\/f)\/f*f)\/(f**(-5)\/f*f)) assuming f is positive.\nAnswer: f**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m + 3. Let p be b(-6). Let k(c) = 0*c + 2*c + 3 - p. Let y(z) = -z**2. What is y(k(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/20)\/(6\/(-20)*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7886 - 1a?\nAnswer: 7868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172971 and -10014.\nAnswer: -182985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409746359*p**3 + 216002567*p?\nAnswer: 2458478154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 264 = -229. Let t(v) = 41*v**2 - 38*v + 202. What is the thousands digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 2. Let i(w) = w**3 - 2*w**2 - w - 1. Let q be i(2). Let g be m(q). Solve -g*r + 0*r = 2*f - 20, 2*r = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37126 divided by -2.\nAnswer: -18563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 6*p**2 - 5*p + 2. Let t be i(-5). Suppose -4*k = t*s - 0*k - 12, 0 = 2*s - 4*k + 28. Is 647 - (0 + s) - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 194*x + 1379. Let c be n(-6). Solve c*m + 12 = 209*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 1. Let k(l) = 9*l**2 + 252*l - 63. Let h(m) = -189*c(m) + 3*k(m). Let y(g) = 2*g + 2 - 2. Determine y(h(n)).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -26. Suppose -u*v + f + f = 108, 3*v + 2*f = -137. Let d = v + 50. Is d smaller than 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3250 - 3224 + 6456 + 5*d)*(d**2 + 4*d**2 - 3*d**2).\nAnswer: 10*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -64*m + 45. Let z(c) be the second derivative of c**4\/2 - c**3\/6 - c. Determine z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.85 + -0.15. Let h = 2.5 + -2. Let t = x - h. Sort t, 4, -1\/2 in decreasing order.\nAnswer: 4, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -165*(370\/(-666))\/(25\/15).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1227 and 51392895.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i**3 + 13*i**2 + 480*i + 1536. Let r(h) = -42*h**3 - 29*h**2 - 960*h - 3074. Let s(u) = 11*n(u) + 6*r(u). Factor s(b).\nAnswer: (b - 43)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 10, n: 5, r: 1}. What is prob of picking 1 w, 1 r, and 2 c?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5702 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.131 * 4\nAnswer: 0.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -27, -88 in increasing order.\nAnswer: -88, -27, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 + z\/2 + 1\/3.\nAnswer: -(z - 2)*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Let n = -54 + 54. Solve n = 3*o + 2 + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502783.\nAnswer: 41, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let w(a) = -2*a + 970. Give u(w(o)).\nAnswer: 4*o**2 - 3880*o + 940900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 6 - 4 + 4*r - 2*r**2. Give u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7040 and -31\/4028288?\nAnswer: 20141440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-385)\/10)\/11*90\/63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*s - 2041 + 8146 = 0 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32621 - -23129. Let s = k + 9491.29965. Let v = 0.7 + s. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*c + 18 + 9, -5*k + 41 = 2*c. Let n = -4 - c. Let w be 8\/(-5) - n\/20. Is w greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d + 5*d**2 - 22*d - 16*d**2 + 25*d + 9*d**2 + 16 in the form p + o*d + q*d**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 10.087?\nAnswer: 10.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -3*s, -5*s + 2*z = 4*z - 17. Suppose -q - q + s*q = 0. Solve -2*k + 3*k - 5 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138\/6263 - -2577596\/117550247. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 319, 73, 1 in decreasing order.\nAnswer: 319, 73, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -239 - -2?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 90*i - 1 - 2 + 3.\nAnswer: 90*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 3*h**5\/20 - 11*h**4\/4 + 5*h**3 + 26*h + 6. Factor r(d).\nAnswer: 3*d*(d - 10)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - 2*x - 7. Let n be o(-6). Suppose 87 = n*d - 2*d. What is the remainder when 55 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 2\/349, 4, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*i - 45 = 0, -15 = -4*i - i. Suppose c - 2*c = -v. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**3 - 33*h**2 + 19*h + 20. Let f be g(-9). Calculate the highest common factor of f and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**3 - 7*h**3 + 107 - 107.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429248879 to the nearest integer?\nAnswer: 20718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + z - 69 = -2*z, -3*d - 4*z + 50 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 + 4 - -7) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-42) + 26\/14. Suppose 3*q + o + i = 0, -5*q - o - 4 = -0. What is the second smallest value in 2, -10, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 32284.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 211556443*z. Let j(o) = 2*o**2. What is h(j(x))?\nAnswer: 423112886*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 30218?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*1\/(-3)*(66\/(-242))\/1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/g**1)*g*g**(-3)*g*(g*g**4\/g)\/g*g*g*g\/g**(-2\/3)*(g**(-5)\/(g\/(g**2*g)))**45 assuming g is positive.\nAnswer: g**(-388\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 99*r**2 - 97*r + 138. Give u(-98).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*b + 14. Let r be 68\/18 - b\/(-9). Let c(a) = a**3 + 3*a**2 - 5*a - 6. Let l be c(-4). Put l, r, 1 in ascending order.\nAnswer: l, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004200623 rounded to six decimal places?\nAnswer: 0.004201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(7\/(7\/2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + -0.15. What is n rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 72164\/24 - (-22)\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -529, -998, -1465, -1930, -2393?\nAnswer: -2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3859576*u**6 + 240*u**2 + 2624*u.\nAnswer: -463149120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y + 2*y. Let t = y + 4. Let x be (1\/t)\/(1\/(-10)). Solve 0*n = -x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2. Let j(m) = 7*m**3 + 3*m**2 - 4*m + 4. Let b(f) = -f**2 + 1. Let r be b(0). Let z(t) = r*j(t) + 6*d(t). What is z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-420))\/(69\/4). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/116 and 31\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/5 - 106793216*x\/5 - 1425598872952832\/5 = 0?\nAnswer: -26698304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -7. Let a(w) = w**2 - 14*w - 95. Let v be a(-5). Suppose 5*c - i + 13 = v. Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 24. Let v = c + -7. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -111*t**3 - 2*t**2 + 3*t - 2. Let o be i(1). Calculate the common denominator of -123\/20 and -10*12\/o - -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8533 - 1023 = -771*u - 2617 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273152?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-463*u**2 - 780*u**2 - 396*u**2)*(-3*u**2 + 0*u**2 + 4*u**2) + 3*u**4 - 4*u**4 + 2*u**4 + u**4 + 1 - 1.\nAnswer: -1637*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - 4*k - 3. Let w be (-12)\/(-8) - (-3 + 33\/6). Let m be r(w). Sort -15, m, 0 in decreasing order.\nAnswer: m, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*n**4 + 32*n**4 - 41*n**4 + (-5*n**2 - 3*n**2 + 6*n**2)*(4*n + n**2 - 4*n) + n**4 + 4*n**4 + 3*n**4 as i + o*n + x*n**3 + j*n**4 + y*n**2 and give j.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxuxxeexxeexeexxe. Give prob of picking 1 x and 1 u.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-225))\/(32\/1248*2\/6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*h = -218*h - 153*h + 989 - 3653 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 76. Calculate the remainder when 162 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -962503*s + 24. Let u(g) = 2887509*g - 72. Let y(i) = -17*b(i) - 6*u(i). Let d be y(8). What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169624, -339257, -508916, -678613, -848360?\nAnswer: -1018169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1454 or 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 67738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -730462.885 rounded to the nearest one hundred?\nAnswer: -730500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 545262 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v - 5*v - 6*v. Let m(w) be the third derivative of -w**4\/12 - w**2. Give p(m(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60481894.\nAnswer: 2, 11, 113, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14607*r**2. Let l(y) = y**2. Give l(j(x)).\nAnswer: 213364449*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3 - (-4 + sqrt(9)\/sqrt(3)))**2.\nAnswer: 112*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527915 + 0*q**2 - 2*q**2 - 527916.\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:15 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 10, 3, 211 in increasing order.\nAnswer: 3, 10, 38, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j - 340. Determine v(-28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 934876 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 + -5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -385, -690, -967, -1222, -1461?\n\"Answer: -v**3 + 20*v**2 - 358*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 7 - 3. Suppose -n*a + 52 = -0*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.42 - -3.712047.\nAnswer: 14.132047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - x**2 + 3*x + 3. Let g be t(-1). Solve 0 = 2*b + g*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 41 - 128 = -3*y, 0 = 2*l + 3*y + 63. Let s = -275 + l. Let k = s + 8234\/27. Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/60*3\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 divided by 2?\nAnswer: -453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:37 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/239 - 816\/3107. Let n be (-1 + -2 + 2)*-1. Is m equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19444660 and 6?\nAnswer: 58333980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 5*f - 5. Suppose -3*w + 12 = -6*w. Calculate m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 20, -2*p + 6 = 5*d - 3*p. Suppose d + 4 = 6*y. Is 16 a factor of 2 + y - (2 - 31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7 + 1. Let x(g) = -g**3 + 7*g**2 + 10. Let u be x(8). Let t = -52 - u. Solve -t*k = -j + 6, 0 = 4*j - q*k - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984\/(-9424)*(-57)\/18*(-1)\/8?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644.9141ml to litres.\nAnswer: 0.6449141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) + sqrt(48)\/sqrt(6)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z - 367 = 5*h - 968, 0 = -5*z + 2*h + 61 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5683*n + 8. Let a(t) = 1894*t - 3. Determine -11*a(b) - 4*c(b).\nAnswer: 1898*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -10\/9 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -349495?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94835 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23182597, 23182595, 23182593, 23182591?\nAnswer: 23182589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00162 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000828 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101158436 is divided by 65?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 535911 = 41207 + 41088. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)*10\/(-6). Let w be (-8)\/(-10)*(-50)\/(-180). What is the closest to w in j, 4\/7, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*p + 5*q + 1, 0 = 3*p - q + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -30424?\nAnswer: -30407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74729957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398654246 to the power of 1\/2, to the nearest integer?\nAnswer: 19966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*o - 236, 4*k - 4*o + o - 995 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1) + -3*2. Let i = 12 + t. Suppose 0 = 2*f + 4, f - 54 = -4*o - 4*f. What is the highest common divisor of o and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185\/102 + 118\/51. Let i = 13.7 + -14. What is the second smallest value in -11, o, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 5*l = -13, -3*q - 20*l = -16*l. Let t = 17 + -15. Solve t*r - 4*m = 10, q*r - 5*m = -5 + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1335 = 14635. What is b rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lacahchacuahhh. Give prob of picking 1 h and 1 l.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 387 - 27. Solve -4*y - j = -16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132 + 168 + 38 - 23*a**3 wrt a.\nAnswer: -69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612748507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1636 + 1633. Sort -0.2, -4, -272, -6, b in decreasing order.\nAnswer: -0.2, b, -4, -6, -272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 253149813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 34 - 43 + 4 + 67 + a**2 - 20*a + 5*a. What is f(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 351 + -79. Suppose -4*g = 16, l + 70 = -2*g - 76. Let p = j + l. List the prime factors of p.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 1. Let r(z) = 8*z - 3. Let v(o) = 7*o**2 - 39*o - 17. Let i be v(6). Give i*r(l) - 6*b(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-3)))**19*(w**(-3\/5)\/w)\/(w**(8\/7)\/w*w) assuming w is positive.\nAnswer: w**(-2091\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let n(t) = t. Let p(d) = 2*i(d) - 3*n(d). Let r be 1\/(-6) - 21\/(-18). Let z(l) = 0 + 4*l**2 + 1 - r. Determine p(z(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(-18*w + 61*w - 6*w)*(-2*w + 4*w - w).\nAnswer: -111*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -21*v + 94. Determine d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1845 at most -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 5. Let d be x(7). Let a be d\/9 + (-145)\/(-45). Let s be 27\/6 - a\/(-6). Put 3, s, -1 in ascending order.\nAnswer: -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*j + 8*j. Calculate the least common multiple of 5 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from clllc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 225, 1442, -2, -2\/5 in ascending order.\nAnswer: -2, -2\/5, 3\/4, 225, 1442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11868.6 - 11869. Which is the closest to -1\/5? (a) -2.3 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 times -15.1\nAnswer: 679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 12*g - 1. Let z be q(-5). Suppose 4*d = 6 - 30. Let t be (-4)\/3*9\/d. Let p(b) = -2*b**2 + 18*b. Let r(w) = w. Calculate t*p(a) + z*r(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32096132767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 120299.2 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 4*q**2 - 3*q - 33. Give c(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -z - 4*q, -146*q - 9 = -2*z - 149*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9\/4, -3, 2\/21, 6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/60 - v**5\/30 - v**4\/12 + v**3\/3 + 2*v**2. Let l be p(3). What are the prime factors of l\/(-6) - (-2)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 7*p - 1 = 6*p, 3*k + 2*p = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 4*z**3 + 2*z**2 + 4*z**3.\nAnswer: z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by -1.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0648 + -11.0448. Let g = 11 + x. Let w = -0.048 + g. What is w rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235866506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -19.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 57*t - 90. Let x be r(30). Solve m = -2*a - 11 - 4, 2*m - 3*a - 12 = x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(832)*2 + -5 + sqrt(832) + sqrt(832) + (sqrt(832) - sqrt(832)*-1) + 2)*2 + -4)*2)**2.\nAnswer: -479632 + 7680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -650 or -649?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.7 - -44. Let q = -0.3 + l. Let p be (0\/2)\/(-4 - -5). Sort -10, p, q in descending order.\nAnswer: q, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000154822 to 7 decimal places.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 493651519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*i + 19248 = 0, 4*l - 3*i - 46172 = 30858. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4678954?\nAnswer: 2, 7, 31, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*w**6 + 19*w**2 - 2*w.\nAnswer: 53040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 2*c\/11 + 12\/11.\nAnswer: -2*(c - 3)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-12)*(17 - -1). Let d = 14 - o. Find the second derivative of -14*x - x**d - 5*x**5 + 6*x + x**5 wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 5*m + 10. Let t(f) = -5 + 1 + 5. Let q(j) = 6*t(j) - y(j). Calculate q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835034178 is divided by 2383.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/5 - 3124612*v**2\/5 + 16248388*v - 528077004\/5.\nAnswer: -4*(v - 13)**2*(v + 781179)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*f + f - 13 = 0, -f + 15 = 5*b. Solve 0 = l - b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + d**2 + d - 1. Let m(b) = 3*b**3 + 6*b**2 - 3*b - 11. Let x(i) = -m(i) - 2*q(i). Let o be x(-9). Let p = o - 31. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2114 + -2050. Suppose 5*p - 72 = 2*p. What is the highest common divisor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1593.003059 + 1593. Round j to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586 + 601 - (-4 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0. Let w = -53.3 + 53. Let x = -17.02 + 0.02. Put x, w, g in descending order.\nAnswer: g, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -533 + 532. Which is greater: -0.08 or n?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 7) to base 13\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s + 92. Determine h(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/8, 0.93 in decreasing order.\nAnswer: 0.93, 1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u - 35*u - 562 = 290 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -49, -83, -117, -151?\n\"Answer: -34*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y + 1528 - 73*y + 1691 - 75*y + 226*y.\nAnswer: y + 3219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 7 + 4*s - 3*s + 3*s**3 - 4*s**3 + 6. Determine o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 25*b**4 + 20*b**3 - 25*b**2 - 20*b = 0.\nAnswer: -1, -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, -2*g + 4*v + 4 = -0*v. Let z(r) be the second derivative of 0*r**2 - g*r - 1\/108*r**4 + 0 - 1\/27*r**3. Factor z(y).\nAnswer: -y*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420*h + 1029*h + 486*h - 26169 = 556*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/22 and -17\/4330.\nAnswer: 47630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/2 + 5*m**4\/2 + m**3 - 5*m**2 - m\/2 + 5\/2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/9 + 715594*l\/9 - 5009060\/9 = 0.\nAnswer: 7, 357790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196803459 to the power of 1\/3, to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*z - 170*z = -329*z + 1610 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/2 + 4699*y\/2 + 146034 = 0.\nAnswer: -4636, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.3 + -5.3. Suppose -4*m = 2*f + 4, -m + f + 9 = 4*f. Which is the second smallest value? (a) m (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3050576 and 2368?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1185.4 + 1185. Let g = 23 - 26. Put -143, w, g in decreasing order.\nAnswer: w, g, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12*r + 11. Let c(w) = w - 5. Let j be c(-6). Let h be q(j). Let v = 7 + -3. Solve h = -v*p - 6 - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -152 + -2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21913 and 8091053.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 + 88*z + 517. What is g(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17929.33 millennia?\nAnswer: 17929330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49157*o - 251*o**3 - 1 + 10*o**3 - o**5 + 48989*o wrt o.\nAnswer: -20*o**3 - 1446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 7)*(-1)\/(-2). Let w be ((-16)\/(-20))\/(l\/(-15)). Let i = 6 - w. Solve -5*t - 4 - 1 = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:32 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3807 (base 9) to base 11\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 16*l + 4 = 12*l, -y + 5*l = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17368500 and 28500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*x + 8, -2*d + 30 = -5*x + 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18*(0 - -3). Let y = 59 - 57.1. Let v = y + -3.9. Which is the third biggest value? (a) -2\/3 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0603803 rounded to four decimal places?\nAnswer: 0.0604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-150))\/(405\/12)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:13 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 23. Let y = -18 - -35. Let h(x) = x + 8. What is y*h(w) + 6*t(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 5, h: 7}. What is prob of picking 1 i and 2 z?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14870 and 8565.\nAnswer: 25472310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 94*2\/4. Let h = p + 28. Let i = h - -30. What is the remainder when 49 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:30 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1907656 nanometers in micrometers?\nAnswer: 0.0001907656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829 - 1362 = -7*h. What are the prime factors of h?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5754 and 27888?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -248.00001466 - -248. What is l rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by -58.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1219 + -1215. Solve 0 = 4*k + 2*b - 6, 0 = -3*k + 2*k - l*b + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422*c + 65 = 1409*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46006551 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4013906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let v(u) be the third derivative of 9*u**2 + 0*u**3 - 1\/10*u**5 + 0*u**4 + 0*u + 0. Determine a(v(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18827 + 18823 + 2369*m - 37650 in the form t + v*m and give v.\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -57.6?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -210*x + 228*x. Sort -16, 0.6, x in decreasing order.\nAnswer: 0.6, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18532505 divided by 19\nAnswer: -975395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81619.4nm to centimeters.\nAnswer: 0.00816194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 10, 5*r - 2*m = -16 - 178. Let k = 67 + r. What is the biggest value in 2\/11, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 58 = -2. Suppose -2*o = -4*d + 34, 5*d - 7 = -5*o - 17. Let f = o - -7. Solve 5*c - c - v = f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5229130 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-25)*(-10)\/6. Solve 2*m = -j*q + 8, 4*q + 0*m = 3*m + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwwvvvttwtvw. What is prob of picking 1 t and 1 v?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 96 = -2*i. Suppose -10*s + 12 - 2 = 0. Suppose -3*o = -2*d - 68, 4*d - 7 - s = 0. Calculate the highest common divisor of i and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 3377*n. Let o(l) = 29924*l. Calculate w(o(f)).\nAnswer: 1790891552*f**2 + 101053348*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = 2*j. Calculate the highest common divisor of j and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(10\/(-65) - 823\/(-26)). Suppose 8*y - k = -6*y. What is the highest common factor of 54 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 50dac3b?\nAnswer: 50dac41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 divided by 33?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 11:38 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23709971 to 3 dps.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(162))*1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 5. Suppose -4*w + i - 13 = -4*i, 0 = -w + 2*i - 7. Suppose -p - 8 = -w*p. What is y(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 30. Let u be t(10). Solve 5*b + u*j + j = 0, -20 = -4*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353.1 - -431. Let x = -80 + o. Which is the third biggest value? (a) -2\/15 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 6 + 1 - 7 + 21*l**2 - 22*l**2 + 10*l in the form x*l**2 + b*l + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2777, 2774, 2771, 2768, 2765, 2762?\n\"Answer: -3*o + 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 27 = -1077. Is v\/(-8)*30\/9 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-1508) - (-418)\/988.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -28, 0.095, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8.6 (b) -6 (c) -3\/5 (d) -4\/7 (e) -0.1 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6741.4021 - 6741. Let u = -0.0149 - l. What is u rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144204502 - 0?\nAnswer: -144204502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514324514 to the power of 1\/2, to the nearest integer?\nAnswer: 50143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 - 11*p + 17. Let a be w(9). Let n = 2.967 + 0.033. Sort n, 0, a in increasing order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11842 - 2*x - 46364 + 14117 - 52337.\nAnswer: -2*x - 72742","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g**2 + 12*g**2 - 9*g**2 + (3*g - 6*g + g)*(-g + 2*g - 2*g))*(-4 - 165*g + 164*g + 2) to x + w*g**2 + h*g**3 + z*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38622*i**6 - i**3 + 70416*i**2.\nAnswer: -4634640*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + -3 + sqrt(1100))**2 - (sqrt(1100) - ((2 + sqrt(1100))*3 + sqrt(1100) + sqrt(1100)))).\nAnswer: -3426 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 + 278*k + 19321 = 0.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 489, 2585, 6071, 10941, 17189, 24809, 33795, 44141?\nAnswer: 55841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let a be -1 + (1 - 2) + p. Let f(b) = -b**2 - 5*b - 4. List the prime factors of f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26*j**3 + 17*j**2. Let x(c) = c**3. Let b(m) = -5*m**3 + m**2. Let i(t) = -6*b(t) - 39*x(t). What is 17*i(n) + 6*w(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 74422015583\nAnswer: 74422015583.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6)*(-1 + 2 - 5)*(-4*h + 4*h + 2*h)*(-42*h - 2*h**4 + 42*h).\nAnswer: 80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:53 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - -37a1?\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 + -30.17. Let r = k + 29. What is r rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 2, q: 13, w: 2}. Give prob of picking 2 r.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 36*b**3 + 1367*b**2 - 34*b + 163. Determine r(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*n**3*u**3 - 26*i**2*n*u**4 - 2*i**2*n*u**2 + 4*i*n**3 - i*n**2*u**2 + 3*n**2 wrt u.\nAnswer: 12*i**2*n**3 - 624*i**2*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111405 by -722.\nAnswer: -111405\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -5*y, -3*y + z + 1 + 1 = 0. Suppose y*u + 320 = 1090. Suppose -5*j = -0*j - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 129865*j**3 - 843440675*j**2 + 2529153375*j.\nAnswer: -5*j*(j - 12985)**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9654 + 9662. Calculate the lowest common multiple of f and 1654.\nAnswer: 6616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*(p\/(p*p**3\/p)*p)\/p*p)\/p)\/p))\/p*((p*p**(-8)\/p*p)\/p)\/p)\/(p\/p**(2\/5))**29 assuming p is positive.\nAnswer: p**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 4. Let y be i(5). Let d(p) be the second derivative of 27*p**5\/20 - p**4\/6 + p**2\/2 - p. What are the prime factors of d(y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t. Let w(p) = p + 4. Let y be w(t). Suppose y*j - 5*d - 327 = 0, -2*j + 188 = d + 21. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (468\/(-936))\/((-40)\/48 - -2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -2b7?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 - 3 + 4)*(2 - 5 + 0) - 6 - 2 + 4)*(4*s + 0*s - 5*s) to w + r*s and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 - 26 = -6*n. Solve -5*z - 4*u = 45, -4*z + 5*u + 3 + n = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(175) - (-3 + sqrt(175) + sqrt(175) + -1*sqrt(175)) - sqrt(175))**2 + -3)*2.\nAnswer: -1086 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532970228 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 9\/7, -1\/3, 0.5?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 18475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/60 - r**4\/12 - r**3\/3 + 1224*r**2. Suppose -3*f = -p + 7, 3*p + f - 11 = -0*p. Determine v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -30*b**2 + 29. Let u(y) = 15*y**2 - 14. Let g(j) = 3*d(j) + 7*u(j). Differentiate g(p) wrt p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.6353 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h**4\/11 + 8976996*h**3\/11 + 2014677588080*h**2\/11 + 7252708612608*h\/11 - 3223432433664\/11 = 0.\nAnswer: -448848, -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (120\/9)\/(-5) + 2. Suppose 5*n - 16 = 9*n, 0 = 2*c - 2*n + 14. Let q = -14 - c. Put 0.05, g, q in decreasing order.\nAnswer: 0.05, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r + 0*r**2 + 3*r**2 + 7 - 2*r**2 - 2*r**2. Let l be b(-9). Let u be (-8)\/(-32)*16\/l. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/153*-17*(-74)\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6068386 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 24180 = 4*n, 3*t - 2*n = 18141. List the prime factors of t.\nAnswer: 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(27\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(1\/32) assuming l is positive.\nAnswer: l**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 + 15*t - 1139. What are the prime factors of a(112)?\nAnswer: 5, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 142.4, 0.3, -8, 2, -2\/13 in decreasing order.\nAnswer: 142.4, 2, 0.3, -2\/13, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -277970000 rounded to the nearest 1000000?\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/8)\/(2*4\/(-144)). Let i be (-13)\/39*k\/21. Put -2\/7, 1\/4, i, -11 in ascending order.\nAnswer: -11, -2\/7, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*n + 394, 2*m - 615 = -m - 2*n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312280.832 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1455)\/(-45)*(-288)\/(-96).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(2*n**4 + 0 + 0) - n**3 - 2*n**4 + n**3 + (3*n**3 - 2*n**3 - 3*n**3)*(-2*n - 2*n + 2*n) - 57*n**4 + 70*n**3 - 70*n**3.\nAnswer: -51*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19056 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 6. What is the remainder when 45 is divided by f(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(4))\/sqrt(4)*-4.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1391609347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 + x**3)*(5 + 258*x - 5 + 87*x).\nAnswer: 345*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 9*d + 13. Is h(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 246 + 177 = 0. Suppose 504 = -b*m + 65*m. Let n(a) = 4*a**2 + a + 3. Let u be n(-3). Calculate the greatest common divisor of m and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 7*i. Let c be u(6). Suppose c*o - 96 + 0 = 0. What is the greatest common factor of 272 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 60164*d - 60164*d - 739*d**2. Let l(t) = -t**2. Determine c(l(g)).\nAnswer: -739*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (3 - 1) + -2. Let z be (2*t)\/(-2)*(-4 - -5). Is z bigger than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192*a + 5*q = -3189*a - 3, 2*a = 2*q + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -491, -1081, -2057, -3413, -5143, -7241, -9701, -12517?\n\"Answer: x**3 - 199*x**2 - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 3\/5 (b) 1 (c) 2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277622 and 2921.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 247*n**2 - 285*n**2 + 35*n**2. Let g(a) = -1681*a. Calculate g(w(j)).\nAnswer: 5043*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 + 3*w**5 - 2*w**5)*(27 - 96 - 31).\nAnswer: -200*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*f - 4 = 0, -c + 2*c - 16 = 4*f. Let j be 40\/22 - (6 + c). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j + 49. Let y be f(-3). Let s(q) = q**3 + 4*q**2 - 13*q - 28. Let o be s(-3). Solve 8*c + y = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4*p - 1456*g**3*o**2*p + g*o**2 - 8*g + 2*o**2*p + 2*o*p - 2*p wrt g?\nAnswer: 24*g**2*p - 8736*g*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 68471730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/4 - 37163*g**2\/4 - 86313390*g + 86322681 = 0.\nAnswer: -18582, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17412 (base 9) to base 16.\nAnswer: -2edf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 30 = 4*u + o*u. Suppose -u*q + 245 = -y, 0 = -q + y + 2*y + 49. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238 (base 13) to base 2.\nAnswer: -110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 10 = 5*n, -8 = -2*c - 2*n. Suppose 1 + 4 = c*r, 0 = 3*a + r - 1339. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p + 9. Let f(q) = q**3 - 10*q**2 + q - 2. Let n be f(10). Is u(n) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587021571?\nAnswer: 1553, 1021907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/228*(-6)\/10*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -10, 6, -3 in descending order.\nAnswer: 6, 0.3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 320.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/212 and -13\/159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3814.3996 to the nearest ten.\nAnswer: -3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/4 + 5*j**4\/12 - 40*j**3\/3 + 50*j**2 - 70*j. Factor g(f).\nAnswer: 5*(f - 2)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2896749 divided by -107287?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 96. What is the smallest common multiple of 8 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.073 and 0.55?\nAnswer: 0.04015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35474 is divided by 113.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*t**3 - 3*k*t**2 + 44*k*t + 536*t**3 wrt t.\nAnswer: 12*k + 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 2*t**2 + t - 4. Let c be b(-3). Suppose -4*p + 8 = c*x, -2*p - 5 = 5*x - 1. Suppose -z - 96 = -p*z. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 10)*(-i + 6*i - 7*i + 6*i + 10*i - 6*i + (1 - 4 + 2)*(-2 - i + 2)) in the form r + z*i and give z.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 262 = -7*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*a = -9, -4 = 4*a - 0*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**3 + 24*y**2 - 15*y + 7. Let u(s) = 5*s**3 - 12*s**2 + 7*s - 4. Let m(v) = -6*a(v) - 11*u(v). Let n = -1605 - -1592. Determine m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 165*k**2 + 496*k - 2. Give w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -38630 not equal to -2665426\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*g = -7*m, 2*m + 10 = -4*g. Find v, given that -5*v**3 + v**m - 3*v**5 + 5*v**5 + 2*v + 0*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 18120*f + 108648.\nAnswer: 2*(f + 6)*(f + 9054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115473064 or -115473073?\nAnswer: -115473064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 5272*l - 21096.\nAnswer: (l - 4)*(l + 10548)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 11*g**6\/3 - 93*g**2\/2 + 159*g + 99. Let m(f) be the first derivative of s(f). What is the derivative of m(b) wrt b?\nAnswer: 440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/7 - 371430*x**4\/7 + 13374114*x**3\/7 - 155298672*x**2\/7 + 521644929*x\/7 + 690689142\/7 = 0. Calculate x.\nAnswer: -123846, -1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 17*d**2 + 21*d - 22. Let z be m(18). Suppose 0 = -5*u + 5*v + z + 28, -2*v = 0. What is the remainder when 2 - (-43 + 6\/3) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 43*x + 66*x + 344 = 0. What is the closest to -0.2 in 4, 30, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101110011100101101001011 (base 2) to base 11\nAnswer: 6967186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-20)*10*(-9)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose -m**z + 8 + m - 3*m**3 + 3*m - 10*m**2 + 2*m**3 + 4*m**4 = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3\/7*f**2 + 8427\/7 + 318\/7*f = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:50 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 23*m**2. Let i(t) = -2*t - 3. Let j be i(-12). Suppose j*g + 12 = 25*g. Let n(q) = -4*q + 8*q - g*q + 0*q. Give k(n(h)).\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2447)\/14682)\/((-31)\/(-6))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287010, 287508, 288006?\nAnswer: 288504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*t - 6414, 4*z + 2*t + 3477 = -1655. Suppose 0 = 5*m - b - 9857, 4*m - 2*b + 0*b = 7888. Let w = z + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1243484576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 634885944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -2*s**3\/3 + 4*s**2 - 4*s - 3. Suppose -4*w = -0 - 20. What is x(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4807658 is divided by 855.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 73570392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + -10 + 0 + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = 3. Solve u*z - 9 = 2*h - 3, -5*h + 20 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 0 - (-7 + (-12 - -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j + 2. Let b be o(-2). Suppose m = 6*m - 15. Let z be m*((-26)\/13)\/(0 + 2). Sort -1, b, z in decreasing order.\nAnswer: -1, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5015, -10029, -15043, -20057, -25071, -30085?\n\"Answer: -5014*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 2*n - 1. Suppose 0 = b - 3 + 2. Let q be w(b). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15016 (base 7) in base 5?\nAnswer: 113004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -7*d**6\/15 - d**4\/12 - 15*d**2\/2 + 8*d - 2. Find the third derivative of b(n) wrt n.\nAnswer: -336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123455907 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -52\/2061?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-2 + -15)) + (-10)\/(-5). Suppose -20 = -3*r - 2*s, -4*r + 3*r + 2*s = -u. What is the remainder when 16 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190497654197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-5340)\/4984*(-7)\/(-18))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(21\/5)\/(w**(-1\/8)*w\/w**(-4))*(w**(-4)\/w**(3\/4))\/(w**(4\/7)\/((w*w\/(w*w*w**8\/w)*w)\/w)) assuming w is positive.\nAnswer: w**(-2463\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2220222200 (base 3) to base 12\nAnswer: -293a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7183 - -11058. Suppose -5*t - w + 13375 = 0. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 13 = t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lalj when four letters picked without replacement from {u: 4, l: 1, a: 6, r: 2, j: 3, o: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -678691300705.4 and 2.\nAnswer: -678691300703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852 - 833 + 123*n**2 - 56*n**2 + 1664 - 70*n**2.\nAnswer: -3*n**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -422.0055+-75\nAnswer: -497.0055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148398343 to the power of 1\/2, to the nearest integer?\nAnswer: 12182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 15747 - 14330*j**2 - 5705*j**3 + 23943 + 2286*j**2 - 170961*j**2 + 64463*j - 202118*j - 45*j**4 = 0. What is j?\nAnswer: -63, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3.4816\nAnswer: -3.4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y - 2*l, -20 = -4*y + 4*l - l. Suppose -15 = -y*r + 5. Suppose -6*x + 58 = -r*x. What is the greatest common factor of x and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4\/7, -0.2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f - 3. What is t(-11)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7864 divided by 1966\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 7*u - 1. Let l be m(6). Solve -5*f + l*n - 25 = 0, -f + 5 = n - 0*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44.3 (b) -1\/42 (c) 4\/5 (d) 8.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 24*u**2 - 21*u**2 - 1 + 32*u**2 + 2*u + (-2*u - 3 + 3)*(u**2 - 3*u**2 + 4*u**2) + 0*u + 2*u**3 + 0*u + 3*u**3 - u**3 - u**3.\nAnswer: 3*u**3 - 13*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -5. Solve 5*c + l = 4*p + 3*c, 10 = 2*p + 2*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**3 + 2*u**2 - 3*u - 6. Let z be x(-4). Suppose g + 3*y + 130 = -46, 5*g + 3*y + 880 = 0. Let q = g + z. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27629 is divided by 4890.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:38 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -1\/5, 19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*p + 2*p + 12 = 0, -15 = -5*j - 5*p. Let h(t) = -t**3 - t**2 + 2*t + 5. Let i be h(0). Solve 4*z - q + 8 = -8, -5*z - i*q + 5 = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 8. What is s(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6 (c) 2 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o - 79*o - 9*o - o - 1.\nAnswer: -73*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i)**(-9\/5)*i*i\/(i**6\/i)*i**(-2)*((i**(1\/2))**(-2\/23))**(3\/29) assuming i is positive.\nAnswer: i**(-170857\/23345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 460, 463, 466?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 0*d**2)*(2*d**2 - d**2 + d**2) - d**4 - 2*d**4 + d**4 + 2*d**4 - 6*d**4 + 2*d**4 + (0*d**2 + 0*d**2 - d**3)*(d + 3*d - 2*d).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 2*x**2 - 3*x**2 + x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 24. Suppose 0 = c + q*c - 5*g - 40, -5*g - 10 = 2*c. Suppose -4*y + 1854 = 2*d, 0*y + 942 = d + c*y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, n: 3}. What is prob of sequence qnq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 569*b - 561*b. Let q = -7 + 5. Let u = -1 - q. Solve 2*k = -u + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0 + 0 + 108)\/1. Suppose 55 = 3*z + 5*t - 99, -3*t = -2*z + b. Let r = z - -66. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 32*f**2 + 12*f - 18. Let v(t) = -t**3 - 30*t**2 + 10*t - 18. Let l(x) = -6*a(x) + 7*v(x). Give l(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + 129 + -124?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 + 62028*z + 62031 = 0.\nAnswer: -1, 20677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/25*-15)\/(2\/5). Suppose a*y + 4*q - 22 = 0, 5*y - 3*q - 35 = -8*q. Is 2\/y*(2 + (-6267)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 8 - 1*-81. What is the common denominator of (26\/143)\/(4\/h) and -57\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 10*i**5 + 14*i**4 + 4*i**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/2, 0.1, -18, -21.1, 7.8 in ascending order.\nAnswer: -21.1, -18, -13\/2, 0.1, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-160)*-12*1*(-15)\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -231. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 90. Give u(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 2, 0.3, 2\/5.\nAnswer: 0.3, 2\/5, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 8:08 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28 = x. Let q be ((-12)\/x)\/(2\/(-14)). Let w(p) = -p**2 + 7*p + 10. What are the prime factors of w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d**(-10)\/d)*d)*d\/((d*d**(3\/2)\/d)\/d) assuming d is positive.\nAnswer: d**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:23 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 166 + 134. Calculate the lowest common multiple of a and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 585 from 3.\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1001101011001?\nAnswer: 1001101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7143526 microseconds in seconds?\nAnswer: 0.0000007143526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -797d (base 14) in base 9?\nAnswer: -31825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**4 - a**3 + a**2 + 2. Let f(o) = -17*o**4 - 5*o**3 + 6*o**2 - 9. Let j(n) = -f(n) + 5*u(n). Find the first derivative of j(p) wrt p.\nAnswer: 48*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*v + 22*v**3 - 55*v**3 + 37*v**3 + 2 + v**2 + v**2 to the form c*v**2 + b*v**3 + t*v + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 92*z**2 - 3*z + 309.\nAnswer: -92*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87, 4, 3054803.\nAnswer: -5, 4, 87, 3054803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1620890 to the nearest ten thousand.\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {z: 1, a: 4, j: 2, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*((sqrt(16)\/sqrt(4) + sqrt(4) + sqrt(4))\/sqrt(2) - sqrt(6)\/(sqrt(3) + sqrt(3)*-2)))**2*-3.\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -461655 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-6)*a\/(a\/((a*a**(-3\/2))\/a))*a assuming a is positive.\nAnswer: a**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1539) - ((0 + sqrt(1539))*3)**2 - sqrt(1539)*-2*4)*-2.\nAnswer: -810*sqrt(19) + 138510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 34. Let f be (o - 1)\/(6\/(-6)) + 2. Solve -8*t = -3*t + 3*p - 4, -4*t - f*p = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3525 + 9954. Let d = -4300 + h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46520829133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1013 or -92388?\nAnswer: 1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 6, 4, 1, 1095, -48 in decreasing order.\nAnswer: 1095, 6, 4, 2, 1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -647*y**2 + 5*y - 18. Let v(a) = -647*a**2 + 4*a - 12. Determine 2*o(q) - 3*v(q).\nAnswer: 647*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 + 2*f**3)*(0 + 0 + 3*f)*(1 + 2 - 6)*(2*f - 2*f + 3*f).\nAnswer: -27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 117.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1061756 not equal to -1061104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138244 and 1615?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 + 5. Let a be f(6). Let c(i) = -i**2 + 7*i - 8. Let o be c(a). Solve 5 = -q - 4*t + o*t, -2*t = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94887.434 to the nearest 100.\nAnswer: -94900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -5*k - u, 9*k - 5*u + 218 + 58 - 111 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t - 10. Let z be a(-4). Let y be (-2)\/(-10) + 19\/z. Let g = 1 + 0. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 12 - -11) + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/5 - 3699\/(-1440) and (5 + 118\/8)\/(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8144 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from wwdwwwwdmwwwmwwv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 2. Let d be x(3). Let y(s) = s**2 - s - 1. Let r be y(3). Let n = d + r. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.836 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3882 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 26 = -116. Put 4, 3, x in increasing order.\nAnswer: 3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2176, -2592, -3008, -3424, -3840?\nAnswer: -4256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/60 + 407*a**5\/10 - 1387*a**3\/2 - 5611*a**2. Find the first derivative of z(w) wrt w.\nAnswer: 6*w**2 + 4884*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.6355 litres in millilitres?\nAnswer: 63635.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + y - 3*y - 1 = 0, -i - 3*y = 5. What is the smallest common multiple of 2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022 - -1202?\nAnswer: -21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, y: 6}. What is prob of sequence hhyy?\nAnswer: 55\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 19 = 3*z, c + 249*z - 252*z = -25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**2 + 3*d**3 - 5 + 4*d**3 - 8*d**3 - 13*d - 1. Let t be g(-10). Let b = -3 - -51. What is the greatest common factor of b and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) + ((-169)\/(-26))\/13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -454*h**3 - 3*h**2 + 4*h. Let z be 1*((-3)\/(-3) - 4). Let d be y(z). Let f = 18619 - d. What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/5 + 5 + (-105)\/(-175).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 30. Let o be y(-5). Suppose o*r + 8 = 4*a, -1 - 11 = 4*a. Let j be 2\/13 + r\/26. Solve j*p = 2*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 - 2*o + 13. Calculate the remainder when m(9) is divided by (-4)\/(-2) - (-96)\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 56*z - 54. Let j be f(-27). Let b(a) = -a**2 - 4. Determine b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140, 7040, 20700, 41120, 68300?\n\"Answer: 3380*f**2 - 3240*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/9 - 998*w**3\/9 + 514943*w**2\/9 + 127069352*w\/3 - 16211400976 = 0.\nAnswer: -916, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.033637 minutes in milliseconds?\nAnswer: 482018.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 9*s - 30*s.\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 5. Let s(i) be the third derivative of -i**5\/15 - i**4\/24 - 11*i**3\/6 + 30*i**2. Calculate 5*b(v) - 2*s(v).\nAnswer: -2*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 532434?\nAnswer: -532441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*w - 191*w - 190*w - 97 + 573*w as u*w + l and give l.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*d, -y - 7*d + 12 = -2*d. Let x be 15\/(-10)*8\/y. Let t be ((-8)\/8)\/((-10)\/x). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261.48 - -271. Let p = x - 9. Let q = p + -0.32. Which is bigger: q or -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0*s + 5*s + (2*s - s + 0*s)*(-2 - 2 + 2 + (2 - 4 + 3)*(1 + 0 - 2) + 0 + 0 + 1).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 - 14 = -5*r, y - 5*r + 19 = 0. Let j be (y*12 - -1) + -3. Calculate the greatest common factor of 110 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*u - 199*u - 331*u + 643*u.\nAnswer: -163*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15636 - -15501. Is -152 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-2))\/((-7)\/(-1106)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36829 - -10374. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -442631 - 12?\nAnswer: -442643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1090.15902 microseconds?\nAnswer: 0.00000001261758125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 4, r: 7}. What is prob of picking 2 b and 1 t?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76846 and 354290?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1660*p - 14*p**2 + 26 - 1607*p - 26 to the form r*p**2 + o + b*p and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:07 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193074 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 3}. Give prob of sequence kr.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1. Let t(i) = i - 2. Suppose -33 + 15 = 3*r. Determine r*m(v) + t(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/10 and 83\/7569903?\nAnswer: 75699030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-56)*(0 + (2 - 4)). Factor -v*g**2 + 0 + 0*g.\nAnswer: -2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2930.7 from 51714987836.\nAnswer: 51714990766.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -11 - (4 + (-5 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*y**2 + 5 - 11962*y + 11962*y - y**2 as r*y**2 + d + k*y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + (-6 - (4 - 18))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 11*r. Let w be c(-10). Let b = -8 + w. Suppose -2 + 1 = -b*y - 3*a, -34 = -5*y + 3*a. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (8 - (8 + -3) - 11) + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3*p + 45*p + 5*p) - 5*p + 0*p + 4*p + (-3*p + 4*p - 2*p)*(-2 + 1 + 3) - 5*p + 0*p + 3*p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 20\/3*i**3 + 1\/2*i**4 - 1\/20*i**5 - 3*i**2 + 2*i + 0. Differentiate o(w) with respect to w.\nAnswer: -6*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 21. Let m be 1\/h*6*(-1)\/4. Suppose 0 = -n - 4*p + 7, 2*n - 1 = 4*p + 13. What is the nearest to 2\/7 in 4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4748 - -15072. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 12. Let r(p) be the first derivative of -p**2 - 3*p - 4. Calculate r(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/11)*w\/(w*w*(w*w**(1\/13))\/w*w*w*w*w)*w*w*w**(-13)*w*w*w*w**(-8) assuming w is positive.\nAnswer: w**(-2897\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 255901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d - 39. Let o be p(5). Suppose -9*z + 9345 = o*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by (-17)\/(15\/(-9)*(-3)\/(-15)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6 = -135*o + 133*o, o = -3*g + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 31, 53, 5, -5 in decreasing order.\nAnswer: 53, 31, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/9 and (-592)\/(-1456)*(-14)\/96.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 1685, 2533, 3381, 4229?\nAnswer: 5077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1145 - -2218. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107, 427, 941, 1637, 2503?\n\"Answer: -2*l**3 + 109*l**2 + 7*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 6 = 0. Suppose -4*c + 17 = f, 5*c - 1 = 3*c - q*f. Suppose 0 = c*l + 5, -j + 12 = 2*l - 12. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2487 + -1?\nAnswer: 2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 14*j - 20. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*z + 245*z - 5844 = 35*z - 430*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 - 4*b**3 + 3*b**3 + (b + 0 + 0)*(-58*b - 12*b**2 + 58*b) to p + z*b + o*b**2 + u*b**3 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3531*n**2 - n + 127. Let l(m) = -5*m. Determine k(l(d)).\nAnswer: 88275*d**2 + 5*d + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 m when four letters picked without replacement from gmgvmgvvgr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/1330)\/((-2)\/14)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 202.1 and -1275451.\nAnswer: -1275248.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.56875 millilitres in litres?\nAnswer: 0.05656875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -2 - (-599 - -633)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 bigger than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.79 - -67.29. Put -0.2, -2\/25, -0.3, 21, i in increasing order.\nAnswer: i, -0.3, -0.2, -2\/25, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 8*l + 4. Let s(k) = k**3 + 4*k**2 - 2*k - 1. Let v be s(-4). Determine q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1329\nAnswer: 4\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:51 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 15. Suppose -2 = -z*b - 2*d, -4*d = -3*b + d + 16. Suppose -b*x = -0*x + 10. What is the nearest to 0 in 2\/9, -1\/2, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -3*l, l - 5*w - 17 = -6. Let o(x) = x**2 - 9*x**3 + 0*x - l + x + 0. Calculate o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 41 + 22*u**3 - 10*u**2 + 9*u**3 - 4*u**2 to b*u**2 + i + p*u**3 + z*u and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, b: 2, o: 2}. What is prob of picking 2 c and 2 o?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6068, -12138, -18208, -24278, -30348, -36418?\nAnswer: -42488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10 + 1 + 3 - g**2 + 9*g. Let u be i(10). Suppose 5*b - 28 + u = -j, -1 = j. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18704 and 93306073.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-44 + 32 - (-30 + -4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.50255 hours?\nAnswer: 23409180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*1 + sqrt(550))\/((sqrt(16)*-2)\/sqrt(8)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49*2\/10 + (-48)\/60. Suppose f*w + 300 = 318. Calculate the remainder when -1*(-3 - (0 + 20)) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*t**2 + 412*t**2 + 403*t**2 - 284*t**2 to the form p*t**2 + f + i*t and give p.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 24*a**2 + 5*a. Let s(v) = 3*v - 8*v + 366*v**2 + 397*v**2 - 788*v**2 + v. Give -4*d(m) - 5*s(m).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2064681*b**4 + 2191130*b wrt b.\nAnswer: 24776172*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)**(13\/5))**7\/(((s**4*s)\/s**(-2\/5))\/(s**2*s**(-4\/5))) assuming s is positive.\nAnswer: s**(-294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112432311 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6073, -12156, -18247, -24352, -30477, -36628, -42811, -49032?\n\"Answer: -q**3 + 2*q**2 - 6082*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) - (sqrt(5) + 1 + sqrt(15)\/sqrt(3))**2.\nAnswer: -21 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 14. Let s be (p + 5)\/(1\/(-6)). Is 257*(-2)\/s*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(-23)\/(-1725)*110\/(-66).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57 times -0.5\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*-3*2\/(-12). Suppose -p = -5*n + 3*p + 18, -n + 4 = -p. Suppose -4*a + 2*s + 186 = r, -12 = -n*a + 4*s + 78. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-11)*(-2849)\/(-777)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022543155 rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3772 in -0.2, -0.4, 11\/4, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b03 (base 15) to base 8.\nAnswer: 100125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-10) + 536006\/4. Round k to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1110978 minus 1.7?\nAnswer: -1.8110978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 12. Solve 5*u + 6 = -h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -20. What is the common denominator of m and ((-7)\/(-6) - 1)*1722\/(-123)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*c = -772*c + 342*c - 976 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1176 + -23429\/20. Calculate the common denominator of -34\/25 and j.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 68 (b) -1\/9 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/21 - 10*(-3)\/(-198). Which is the second smallest value? (a) u (b) 0 (c) -6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -69. Let s = -45 - q. What is the third derivative of 7*d**2 + 21*d**2 - 32*d**6 + 4 - s wrt d?\nAnswer: -3840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8*c + 2. Let q be o(-8). Suppose 3 + 3 = q*v. Suppose 4*y - v = y. Put 2, -2, y in decreasing order.\nAnswer: 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/32? (a) 75680 (b) -2\/5 (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4 = 0, -4*b + 2*l = -3*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 48 - g**3 - 860*g + 860*g + 42.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8 - (-101835)\/(-4380)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -1\/72*n**6 + 1\/36*n**4 - 198*n**2 + 0*n + 1\/180*n**5 + 0 + 0*n**3 + 1\/315*n**7. Factor t(c).\nAnswer: c*(c - 2)*(c - 1)*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14477666 (base 8) in base 9?\nAnswer: 6203685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2 + 2 + 3*s**2 - s. Let o be t(2). Suppose 4*z + 6 = m, 0 = -m - 4*z + 7 + 7. What is the greatest common divisor of m and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f. Suppose -6*t = -f*t - 30. Suppose 3*u - 2*y + 15 = 8*u, -4*u - 2*y + 12 = 0. Solve -5*m + u*v - 10 = 16, 2*m + t*v = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:44 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -1. Suppose 4 - z = -k. Is 1 + (121 - (k - -1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -947, -1468, -1973, -2456, -2911, -3332?\nAnswer: -3713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3*(-20)\/24*-3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41724 divided by -76\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a**3 + 11 - 11)*(-a - 13*a - 12*a) in the form g*a**2 + p + q*a**4 + s*a + k*a**3 and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*w - 60, -l + w = -0*l - 27. Let r = 34 - l. Suppose 11*i = 6*i + r. Solve i*y - 10 = 7*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 387*f + 4321. Determine w(-10).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 118?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157\/6 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.6 + -10. Let l be (-6)\/(-4) - (-4 - -8). Sort -1, l, b in increasing order.\nAnswer: l, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofafogafffq. What is prob of picking 1 a and 1 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 13 - -12 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*x + z + 9, 26 = 2*x - 4*z. Let i be (-1 - 2\/(-8))*(-2)\/x. Suppose 0 = -3*o + 12, o - 22 + 6 = -4*t. Sort i, -1, t in decreasing order.\nAnswer: t, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-3 - (-4 - -20)). Suppose 0 = -5*r + 69 - z. Suppose -43 = -r*i + 29. What is the remainder when 22 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 869678264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 6250*p + 6248.\nAnswer: 2*(p - 3124)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 151 + -107692?\nAnswer: -107541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 7*n + 20. What is the smallest common multiple of 76 and n?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -273376365 and -5.\nAnswer: -273376370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-35)\/(63\/9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*(p*(p\/((p*(p\/((p*p**6\/p)\/p))\/p)\/p))\/p)\/p*p*p*(p**(-1\/2))**(-6) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492.1163484 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 483\/18 - (52\/24)\/(-13). Let v = 1.188 + -0.188. What is the nearest to r in v, 0.4, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-12 + 11) - (-3 - -8 - 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/15 - 398\/6)*-1. Suppose -4*t = -x + 2. Suppose -5*y + y = -t. Solve -2*j - y*c + 30 = 0, -4*c + 2*c = -3*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 96.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -27. Let v = -67\/2 - -875\/26. Let b = -23\/65 + v. What is the closest to 1\/4 in -4, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 - m + 2. Let t be f(0). What is the remainder when 38 is divided by t + 1 + 221\/13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-8) - 255\/(-12). Let f be (-26)\/4 - (-6)\/12. Let m = z + f. What is the remainder when 45 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-3\/43))**11*m**(-2)*m\/m**(-7)*(m\/m**1)**(25\/2) assuming m is positive.\nAnswer: m**(1872\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.507 and 843464853.\nAnswer: 843464852.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = 24*o + 80*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 182 = -3*u, 2*u - 5*b = 220 - 349 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = 9*k - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21.6, 4, 3.5, 3\/5 in descending order.\nAnswer: 4, 3.5, 2, 3\/5, -21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1602\/(-3738)*(-56)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 136374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 13*k + 36. What are the prime factors of (-92)\/(-6)*(-54)\/k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*h + 1, -5*f - 4*h = -23 - 12. List the prime factors of (-148)\/(-12) + 2\/f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/36500 (b) 0.3 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - -4) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, 3*y + 304 = 4*c + 59. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28595\/1042 or 27?\nAnswer: 28595\/1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/o)\/(o*o*o**(1\/2)\/o)*(o**(2\/5)\/o)\/o**(5\/4) assuming o is positive.\nAnswer: o**(-649\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = 102*d - 57 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003210232 to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**3\/3 + 371*x**2 + 1292*x - 1846. What is the first derivative of t(g) wrt g?\nAnswer: 2*g + 742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 5*s**2 - 5 - s**3)*(0 + 0 + 1).\nAnswer: -s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 167. Solve -3*r = -4*m + 8, 2*m + d*r - 2 = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915503 is divided by 152447?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 179. Let b = j + -129.000053. What is b rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 5*i + 8, -4*i - 3*l - 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2*(-3)\/(-9). Let l = 6 - 11. Let q = -213349\/142232 - -1\/142232. Sort q, l, j.\nAnswer: l, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 490*l**5 - 1479*l**5 + 497*l**5 - 10*l**2 + 499*l**5 + 2310*l wrt l.\nAnswer: 140*l**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7*h + 5*r + 63, -5*h - 3*r = -111. Solve -6*u = 6 + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4860 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a5 - 2?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 - 715966*l**3\/5 + 17083138020*l**2 - 3393733219499944*l\/5 - 268638356739470512\/5 = 0 for l.\nAnswer: -79, 119354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4209737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -124507, -248733, -372959, -497185?\n\"Answer: -124226*q - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 142. Let q(c) = -15*c - 287. Give 2*q(l) - 5*t(l).\nAnswer: 5*l + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 41460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896413085?\nAnswer: 5, 579282617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by -5\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 5, p: 2}. What is prob of picking 3 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551 - 411. What is the remainder when q is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.31784 and 117493?\nAnswer: 117493.31784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217*k + 211*k - 54 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16820207 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.69 in 2\/7, -5, -61, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6 = z + 3*f, -10 = -5*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5 = r, r + 252 - 27 = -22*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1485 - -1484.6. Sort q, 0, -27 in ascending order.\nAnswer: -27, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 0, 1, -4, -0.1, -6.62846?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23625?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2199, 2387, 2585, 2793, 3011?\n\"Answer: 5*o**2 + 173*o + 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 281*h**3 - 1. Let x be w(-1). Let f = x + 395. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 - 3 - 14*g as l + m*g and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 1, c: 3}. What is prob of sequence cmic?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 18*q. Let n(k) be the third derivative of k**5\/120 + 193*k**3\/6 - 4*k**2 + 9. Let y(l) be the first derivative of n(l). What is -b(r) + 27*y(r)?\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.342599061 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + 26. Let o = 56 - 52. Let p be d(o). Let j(y) = 5*y + 15. List the prime factors of j(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(15)\/sqrt(5) - (sqrt(12) - (sqrt(12) + (sqrt(432) - sqrt(12)))))**2 + (sqrt(30)*-1)\/sqrt(10) + sqrt(18)\/sqrt(6) + -1 + -3.\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i**3 + 33*i**2 + 6*i + 7. Let y(n) = -9*n**3 + 22*n**2 + 4*n + 5. Determine 5*c(d) - 7*y(d).\nAnswer: -2*d**3 + 11*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430942*f**2*x - 9*f*x - 56*f - x + 2 wrt f?\nAnswer: -861884*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5828585 * -0.1.\nAnswer: 582858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(190) + ((1*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190))*3))\/(-6*-2*sqrt(1000)).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(486) - -6*1*sqrt(486)) + sqrt(486))\/(3*(sqrt(6)*2)\/sqrt(2)).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247037*l**2*y - 22*l**2 + 2*l*y - 19730923*y wrt l.\nAnswer: -494074*y - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 24*x - 117. Let r be o(7). Suppose 4 = r*q + q + 2*a, -q = 4*a + 2. Solve -14 = -q*n - 3*h, n + 15 = -0*n + 4*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 1\/20*h**5 + 2*h + 1\/12*h**4 + 0*h**3 + 4 + 0*h**2. Let i(p) be the first derivative of v(p). Factor i(k).\nAnswer: k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67372.601 - -67405. Let a = i + 0.401. Round a to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/24 and -13\/3232.\nAnswer: 9696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497 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 3*r = 5*h - 2*r + 15, 0 = 2*h - 3*r + 9. Suppose h = v - 92 - 1007. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, e: 1, q: 2, r: 2, o: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*g - 8, -q + 13 = -g + 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6755 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268475\/11 - 24407. Which is the second smallest value? (a) -3 (b) r (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13251143881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-2)\/(-2))\/(12\/(-2)). Let r(c) be the third derivative of q*c**3 + 0*c - 1\/24*c**4 + 0 + 3*c**2. What is r(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-42)*(-5338)\/4. Suppose -390*k + 235*k - 39835 = 0. Let d = k + f. What is the common denominator of d and 65\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 - i**5*u - 226*i**3 + 4*i**2*u - 27*i**2 - 1 wrt i?\nAnswer: 240*i**3 - 60*i**2*u - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o + 1. Let i be n(-1). Suppose 3*a - 32 = 4*t - 7, a - 5*t + i = 0. Let k = 12 - a. Is k < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 434*n + 6271. What is t(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 - 19*q + 2. List the prime factors of k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 - 4*t + 3. Let f be x(2). Let k = 1 + f. Suppose -3*n - 2*v + k = -5, 4*n + v - 15 = 0. 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 k(v) be the second derivative of v**4\/12 - 5*v**3\/6 + v**2\/2 - 18*v. What is k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5925174, -11850346, -17775518?\n\"Answer: -5925172*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-377*k + 2562*k**3 - k**4 - 2562*k**3)*(k - 4*k + 2*k).\nAnswer: k**5 + 377*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 30*b**3 + 10*b**3 - b**2 + 18*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/37? (a) 0.1 (b) 1 (c) -0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -658 - -658.000000066. What is m rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**4 + 34*h**4 + 43*h**3 - 2*h**2 + 1 - 4 wrt h.\nAnswer: 24*h + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*t = 6, 2*j = -3*j + t - 6. Let p be -3 + (1 - j) + 0. Let w = p + 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-8)\/52*((-689)\/(-2))\/13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1468.3545064 + -1520.35453. Let a = -52 - w. Round a to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**2. Let c(j) = -7*j + j + 7*j. Calculate c(q(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480471400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7249089 (base 11) to base 6\nAnswer: -1134113541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.33 from -1170016.\nAnswer: -1170012.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 21. Find the second derivative of 6*o + l*o - 17*o + o**2 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -29*f**2 + 7*f + 7. Let c(w) = 19*w**2 - 5*w - 5. Let g(t) = 7*c(t) + 5*i(t). Let n(l) = -5*l**2 + 4*l**2 + 5*l**2 - 2*l**2. Determine g(n(x)).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -553 (c) -1\/7 (d) 4\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:35 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - -1)*14\/49. Let c = 6 + f. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 5*m. Let r(v) = 2*v**2 - v + 1. Let s(i) = -l(i) + 2*r(i). Give s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eegg when four letters picked without replacement from egggggggegeggegggg.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.39282 millilitres in litres?\nAnswer: 0.02439282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1242*n + 432. Does 14 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040 and 1328840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 2113235?\nAnswer: -2113228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 73*f**6\/120 - 3*f**5\/20 + 4*f**2 + f. What is the third derivative of i(g) wrt g?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8148, 1, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5180845 - -8?\nAnswer: 5180853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 12*v**3 - 8*v**3)*(-1 + 3 - 5).\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(2 + -1*-5*-2*sqrt(2299))**2.\nAnswer: -13200*sqrt(19) + 6897120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(sqrt(76) - (0 + sqrt(76))) - (1*(0 + sqrt(76)) + sqrt(76)) - (-4 + 2*sqrt(76) + -5*-3*sqrt(76))))**2.\nAnswer: -76*sqrt(19) + 27437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14048.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1777*h**4 - 6202*h**2.\nAnswer: 42648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.067 - -0.933. Let x = -119 + 117.06. Let b = x - 0.06. What is the closest to -2 in r, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -12 + (28 + -4 - 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 + 7*b**3\/3 + 9*b**2\/2 - 6*b - 7. Let n be q(8). Suppose 4*d = -w + 69, 2*w = 3*w + n*d - 61. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6777 by 75.\nAnswer: 2259\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17507224873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*2*sqrt(1000))\/(5*sqrt(200)*-6)*3.\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**8)\/(a*a\/(a\/(a**(-6)\/a))))**(-1\/41) assuming a is positive.\nAnswer: a**(1\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -69*i - 14882. Determine m(-218).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/28)\/((-12)\/(-96)). Which is the closest to 1? (a) 6 (b) -2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2209923 and -41\/2.\nAnswer: 4419846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 774310182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5394 and 2610?\nAnswer: 80910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/7)*w**(2\/9))\/((w*w**2)\/(w*w**(-5)*w)) assuming w is positive.\nAnswer: w**(-283\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -561, -547, -523, -489, -445?\n\"Answer: 5*n**2 - n - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5 = -5*p. Is p\/((-5)\/1685*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 825.1 (b) 2\/5 (c) 4 (d) -0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*s**2 - 421*s**2 + 613*s**2.\nAnswer: -67*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -7*k**6\/60 + 2*k**4\/3 - 554*k**3\/3 - 925*k**2. Find the first derivative of o(w) wrt w.\nAnswer: -42*w**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 16. What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/8*-4 - 1. Let u(c) = -j + 5 - 2 - 3*c + 4. Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 8. Let t be w(-2). Let s be (4\/(-3))\/((-1)\/t). Let a be (-6*5\/s)\/((-6)\/16). Which is smaller: -9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 22281889?\nAnswer: -5\/22281889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q - 45. Let d be c(-8). Let r(w) = -w + 7*w**2 - d + 91. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12.01748m?\nAnswer: 12017.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 24*t + 29 = 30*t, -14 = -x - 3*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -40\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/24 + 4*x**2. Let q(p) = 9*p. Let b(g) = -51*h(g) + 6*q(g). Let f(l) = 3*l. Determine b(f(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155989326 to the nearest integer?\nAnswer: 12490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.5, 2\/9, -3, 0.1, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80a (base 14) in base 7?\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1370.\nAnswer: -2\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 + 4 = 0, 3*t = -3*g - 36. Let o = -7 - t. Let j(b) = b**3 - 6*b**2 - 6*b + 8. What is the units digit of j(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 0 (c) 10 (d) -1\/8 (e) -2\/667 (f) -0.4 (g) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394053.\nAnswer: 3, 11, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35255 - -35286.706. Round c to one decimal place.\nAnswer: 31.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v*w**2*z - 5*v*w - 2*v*z + 7*w**2*z + 3*w**2 - 5*z with respect to v.\nAnswer: 9*w**2*z - 5*w - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 25 = -2*s - z, -s + 15 = -2*z. Suppose s*j - 4*l - 5117 = 0, 5*l + 3081 = 3*j + 8*l. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96933 and 104704.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -331, -492, -649, -802, -951, -1096?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -1 + 6 + -3 + -5. Let o = 10 + -17. Let a = x + o. Are 1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23201179 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(150) - sqrt(150) - sqrt(150)))\/(-1*sqrt(810)))\/(-6*sqrt(108) + (sqrt(135)\/sqrt(9))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 179, 267, 351, 431?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 14*m**2 + 14*m**2 - 27*m**2 + (-2*m + 3 - 3)*(-5*m - m + 4*m) + 4*m**2 + 0*m**2 - m**2.\nAnswer: 8*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23189 (b) -1\/4 (c) 0.5 (d) 4\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -612*h**3 + 17*h**2 + 6173*h. Let g(a) = -205*a**3 + 6*a**2 + 2058*a. Let f(p) = -17*g(p) + 6*t(p). Find the second derivative of f(k) wrt k.\nAnswer: -1122*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1834203 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10311102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 12*l - 41. Let j(c) = 5*c**2 - 11*c + 34. Calculate -6*j(z) - 5*x(z).\nAnswer: -10*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10014396 and 5245636.\nAnswer: 110158356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.351 + -0.051. Put -0.4, a, -1\/7 in increasing order.\nAnswer: -0.4, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*k**5 - 527*b*k**4 - b*k + 169*b wrt k?\nAnswer: -40*b*k**3 - 6324*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7199*w**2 - 7236*w**2 + 14371*w**2.\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 5, w: 8, o: 2}. Give prob of sequence tto.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (7 - 15) - (3 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3525774 divided by 5334.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1773 + -2511. Let x = -731 - q. What is the highest common factor of x and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 2. Let v(y) = -23*y - 2. Let u(r) = -233*r - 21. Let x(s) = -2*u(s) + 21*v(s). Calculate c(x(b)).\nAnswer: -85*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 44258.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 2*d + 7. Let c be m(6). Let b = c + 7. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 11 = 5*s, -5*s + 10 + 15 = -5*f. Let n be 3\/(-1) + (s - -1). What is the units digit of (n + 2)\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -659\/4*x**2 + 1019\/4*x**4 - 7\/2*x**5 + 57*x**3 + 0 + 73\/2*x = 0?\nAnswer: -1, 0, 2\/7, 1\/2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(3 + -3). Suppose 2*h + 2*v - 14 = n, -h + v = h - 8. Solve 13 = 4*c + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 2. Suppose 6 = -2*z + 2. Let s be t(z). Let x(i) = 1 - 1 + 7*i - s*i. Let m(f) = -f. What is m(x(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 4544\/415?\nAnswer: 4544\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 54 - 18*d**4 - 52596*d**2 + 37*d - 190*d - 18*d**3 + 3*d**5 + 52728*d**2 = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265434 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 810673231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f - 28*f**2 + 13*f in the form q*f + i*f**2 + b and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4215, 8435, 12657, 16881?\nAnswer: 21107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/65 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 14. Determine o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308.356g in nanograms?\nAnswer: 3308356000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273958920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1333, 2727, 4205, 5767, 7413, 9143, 10957?\nAnswer: 12855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77474, -77475, -77476, -77477?\nAnswer: -77478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*g + 5*g + 71, 0 = 5*c + 2*g - 192. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.3 - -23. Let k = 1.7 - m. Let j = -4 + k. Which is the third biggest value? (a) j (b) 0.12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2188845, -4377699, -6566553, -8755407, -10944261?\n\"Answer: -2188854*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193108 and 6486?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 - 4)) + (29 - 33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 0 - (38 + -53) - 3) + (8 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*n - 628, 31*i - 4*n + 449 = 34*i. What is the remainder when i is divided by 137?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 - 2*d**4 + (-7*d + 15*d + 5*d)*(0 + 0 + d**3) + 3*d**4 - 4*d**4 + 0*d**4.\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9*(-80)\/(-225))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*-5*(sqrt(19) + 1).\nAnswer: -30*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/15)\/((-9)\/30). Let p be (1 + -3)\/(m\/(-86)). Let f = -12 - p. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 137 = 38 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22*-4.8\nAnswer: -105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((sqrt(17) - (-1 + sqrt(17) + -3 + sqrt(17))) + 1) + (sqrt(51)\/(-3*sqrt(3)) + sqrt(17) + -5)*3.\nAnswer: -4*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5063 + 2009. What is the hundreds digit of 2\/((-20)\/m) + 6\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -14. Suppose 4 = -7*u - y. Suppose -4*d = -4*g, 3*g = -0*d - 2*d + 10. Sort u, g, 0 in ascending order.\nAnswer: u, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 7}. Give prob of picking 4 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*b - 976, -2*p - 1456 = b - 4*b. What is the highest common divisor of 315 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14579 = 4*n - 2*n, 4*n - 3*a = 29131. What are the prime factors of n?\nAnswer: 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 28*g - 42. Is g*(-4 - -3) + 0 + 1402 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*z - 155868 = 356*z + 1482*z for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = 18. Let w be (-8)\/24 + 1262\/o. Let r = 294 - w. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 4:55 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130763 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4\/5 + 3964*s**3\/5 - 54904*s**2\/5 + 187584*s\/5 = 0?\nAnswer: 0, 6, 8, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -1679, -2513, -3345?\nAnswer: -4175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.3, -16, 6\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.484 - -1686144.84.\nAnswer: 1686145.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 11*k - 21. Let y be i(9). Let m(g) = -g - 1. Let u(x) = -x**2 - 3*x - 3. Let d(r) = 5*m(r) - u(r). List the prime factors of d(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 19*x - 48 = 0. Solve x = -5*a - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 528\/5 + -105. Let n = 73\/3 + -25. Put 3, j, n, -0.3 in ascending order.\nAnswer: n, -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = p, 5*z - 3*p - 6 = 5. Suppose -3*d - z*i + 28 = -2*i, 5*i - 25 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/191 (b) -0.1 (c) 0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56620366601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q - 25. Let b(g) = 7*g**2 - 2. Let p(w) be the third derivative of w**5\/60 + 145*w**2. Let y(z) = q*p(z) + b(z). Factor y(h).\nAnswer: 2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + (50 - 135) - -63.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i + 12. Suppose -3*x = 5*h - 0*x - 7, 8 = 3*h - 2*x. Suppose h*w = 25 - 5. Calculate the remainder when z(w) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -21. Let o(g) be the second derivative of -1\/10*g**6 + 0 - 3\/8*g**2 - 3\/4*g**3 - g - 9\/20*g**f - 13\/16*g**4. Let o(l) = 0. Calculate l.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/210 and -41\/43113.\nAnswer: 431130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 0, -3*l + 493 - 149 = 4*z. Let h = 237 - l. Suppose 10*a - a = h. Calculate the remainder when 90 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032496 times -0.12?\nAnswer: 0.00389952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(p - p - p) - 2*p - p + 6*p)*(2*p + 4 - 4) + (-2*p - p + 7*p)*(3*p - 2*p - 3*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 237068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/28*((-18)\/33 - (-276)\/264).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 190320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -515836420*n + 12949178?\nAnswer: -515836420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from kxxkkkk?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316695.\nAnswer: 5, 463339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 8. Suppose -3*l + 8 = 2, -4*c + 2 = l. Give h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 29*i - 234. Suppose 85 = 4*o + 5*z, i = 4*o - 3*z + z. Solve -4*l = l + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5451 = 4*n - 5*p, -2*n - 1384 = -3*n - 3*p. Let q = 2288 - n. What are the prime factors of q?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1212343?\nAnswer: 1212402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:08 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/29718 and -65\/6477?\nAnswer: 505206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 30*s**2 + 9*s - 203. Calculate p(30).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 916866 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 32*i - 36. List the prime factors of j(6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32772925 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -24. Let y = -12 - u. Suppose -4*d - 423 = -y*k, -5*d - 259 = -2*k - k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1816055191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*9\/((-54)\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4590*n**5 - 236*n**4 - n**3 + 61269656*n?\nAnswer: 91800*n**3 - 2832*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*f + 2516 = 462 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 - -190. Let s be 0 + -1 + (-7 - -5). Is 14 a factor of -6*(s - 10\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 775.09845 - 1.38845. Let m = -779 + v. Round m to one decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.65 and 27.775?\nAnswer: 30.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:08 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1079 (b) 1 (c) -2\/81 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931091?\nAnswer: 7, 133013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/3 - 8*c**5\/5 + 2*c**4 + 4*c**3\/3 - 5*c**2 + 4*c + 99. Solve v(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -361 - 42?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -9*x**2\/2 - 5*x + 9. Let v(z) = -4*z - 3. Let i(p) = -2*f(p) + 5*v(p). Give i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 551 - 404. Let q = n - 146.81. Let o = 1 + 0. What is the smallest value in 0.3, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25682270 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 45525*r + 45524. Determine w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13144 (base 5) to base 9.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.1 - -0.1. Let x = l + 5.9. What is the closest to -2 in -0.5, -2\/9, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 - 9.7?\nAnswer: -274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9\/(450\/10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:54 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d6f23 + -12?\nAnswer: -7d6f35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -453*n**2 + 24*n + 28. Give s(-3).\nAnswer: -4121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -18*f + 0 + 0*f**4 + 0*f**6 + 0*f**2 + 1\/84*f**7 + 0*f**5 + 0*f**3. Factor w(c).\nAnswer: c**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78009.3915 to the nearest 100.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 4*o**2 - 3*o**2 + o**2 - 5*o**2 + 3*o**2 + (-o**2 - o + o)*(3 - 2 + 0) - 7*o**2 - 262*o + 264*o - 4*o**2.\nAnswer: -12*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:04 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*c**2 - 32*c**2 - 108*c**2.\nAnswer: -450*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5010 + 4621. Is g bigger than -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 21764170*h**2 + 130584885*h - 195877260.\nAnswer: 5*(h - 4352828)*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -455270 and -455265 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q**2. Let p(i) = -5051*i. Calculate l(p(r)).\nAnswer: -433714217*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6 + 6. Let s be ((k\/(-6))\/(-1))\/(-1). Let n = 4 + -6. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 0, -3*p - y = 2*p - 3. Suppose h + 4*h - 105 = p. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -4*l - 23*d + 63639, 0 = -4*l - 2*d + 63654. Is 173 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 1, i: 4, e: 8, c: 6}. Give prob of sequence hi.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -6. Let v(j) be the third derivative of -2*j**2 + 0*j + 0*j**3 - 1\/24*j**s + 0. Let k(w) = 2*w. What is k(v(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let y be (2\/10)\/(c\/5). Let u be -3*4\/(-7) - 2. What is the third smallest value in u, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = x + 16, 4 - 3 = -x + m. Let b = -265 - -280. Solve 0 = -x*u + b - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1790 - 347. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -0.022?\nAnswer: 13.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvtppttvvpvpppx. What is prob of picking 1 p, 1 t, and 1 v?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818101 is divided by 427?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133520.875 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315342721.\nAnswer: 12917, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -144, -321, -568, -885, -1272?\n\"Answer: -35*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90601.09l to millilitres.\nAnswer: 90601090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*a = -342*a + i + 9, -8 = a - 4*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqqxqqqqqqqxqq. Give prob of picking 3 q.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52528 - 0.525329346. What is o rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/7, 2\/5, -1527 in increasing order.\nAnswer: -1527, -1\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15) - (52\/(-20))\/(-13)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175170051 divided by -9.\nAnswer: -19463339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m, j - 4*m + 6*m + 147 = 0. Suppose -164 = -2*t + 4*t. Let k = t - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 145?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 13*o**4\/3 + o**3\/6 - 3*o**2\/2 - 3*o - 5. Find the second derivative of d(f) wrt f.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/11 + 494*q\/11 - 996\/11 = 0.\nAnswer: -249, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -4\/17, 2, -5, 0.0074, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = l + 288, 2*l + 3*l - 555 = -2*n. Suppose n = -8*y - 403. Let x = 88 + y. Solve x*z = b - 10, -5*z + 3*b - 14 = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away 110.4?\nAnswer: -135.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 70. Calculate v(35).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g + 3*g - 4*g + (4 - 4 + 2)*(3 - 3 + g) to w*g + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(33 - 2701\/74)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378174, 3025105, 10209632, 24200553, 47266666, 81676769, 129699660, 193604137?\nAnswer: 275658998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1563*m**2 - 210*m + 60. Let c(t) = -313*t**2 - 40*t + 12. What is -21*c(w) + 4*r(w)?\nAnswer: 321*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87909 and 128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsfx when four letters picked without replacement from {x: 2, v: 1, s: 1, f: 2, b: 1, a: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 494. Suppose w = 6*k - 71. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -238*i**6\/3 - i**4\/2 - 56*i**3\/3 - 2*i**2 - 479. What is the third derivative of j(t) wrt t?\nAnswer: -28560*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**3 + 15460*n**2 - 11966025*n + 23870250 = 0.\nAnswer: 2, 1545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + -7. Let n = h - -64. Let r = 32.999886 - n. Round r to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308541 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.82 - -0.18. Let p = h - 9.2. Let w = 1 - p. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3440731276 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1576937, 3154174, 4731411, 6308648, 7885885, 9463122?\n\"Answer: 1577237*l - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 77*t - 631 - 381 = 0. Which is the biggest value? (a) 0.12 (b) -0.4 (c) 34 (d) -0.3 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13922*u + 428*u**4 + 18*u**4 + 13929*u - 37 - 27849*u wrt u?\nAnswer: 5352*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.3 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**2 + 5. Let y(p) = p**2 - 1. Let d(u) = q(u) + 5*y(u). Let s(o) = 2*o**2. What is s(d(t))?\nAnswer: 578*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531631?\nAnswer: 531631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18152*r**4 - 2864*r**2 + r?\nAnswer: 435648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 601*g**2 - 1801*g + 1794. What is the first derivative of q(j) wrt j?\nAnswer: 1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7489471 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, a: 1, u: 1, f: 3, y: 2}. Give prob of picking 1 a and 2 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-758960)\/179520*-22 + -93?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-112)*-12)\/(8\/112).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 85. Let y = -46 + 106. Let u = y - j. Solve 0 = -5*i - u - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 63 = -30*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(91)*1)\/(sqrt(28)\/(sqrt(8)\/sqrt(2))) + ((sqrt(91) - sqrt(91)*2*-3) + sqrt(91))\/((sqrt(56)*1)\/sqrt(8)))*-1)**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2516*d + 2521*d + 2*m = 58, -3*m = -d - 70 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s\/(s\/(s*s\/s**(-5\/4))))*s)\/s*s))\/s*s)**(-12\/11) assuming s is positive.\nAnswer: s**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose -g*i = -0*i + 8. Let c = i - -6. Solve -2*u - 3 - 3 = -n, 0 = u + c*n - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v - 4*s + 4, 5*v - 36 = 4*s. Let y(b) be the first derivative of -3 - 3\/5*b**v - 3\/25*b**5 - 3\/5*b**2 + 0*b - b**3. Let y(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 0, 2*j = -5*w - 459 + 434 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p - 4*p + 2*p. Let i(y) be the third derivative of -y**5\/30 + 427*y**2. Calculate f(i(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105394\/7 - -105542\/7. Find q such that -16\/7*q**4 - 12\/7*q**3 - 36\/7 + p*q**2 + 108\/7*q = 0.\nAnswer: -3, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 + 7*a + 6. Let b be h(-3). Solve 3*l - 21 = -b*d, 5*d + 5*l - 23 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/112 or -7539\/4?\nAnswer: -7539\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2. Let h be j(-9). Let l(c) = c**2 + 3*c**2 - 3*c**2 + h*c + c. Let n(s) = -s. Calculate l(k) + 2*n(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062760 is divided by 177126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -1, -42, -4\/19?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7 + x**3 - 7 + 3*x + 4*x**2. Let d be v(-2). Suppose -d*a - 5 = -7*a. Which is greater: a or -2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from zzzzzzzizzizzizzizzi.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.94 + -2. Let v = r - -0.06. Let k be 40\/(-220) - (-11)\/((-7865)\/(-240)). What is the closest to 0.1 in 0.3, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = -5*a + 4*y, -5*a - 4*y + 25 = 0. Suppose 3*l + 3 = 3*s, -13*s + 14 = -9*s + l. Solve -q = -s - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2035841\/75 - -27145. Let x = b - 3\/25. What is the second biggest value in 1\/2, -0.7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0059156822 and -1.\nAnswer: -0.9940843178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-3 - -13) + 154\/4. Suppose 40*l = f*l. Put l, 73, 2 in decreasing order.\nAnswer: 73, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-67)\/(-201)*-3*(-3)\/78\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21136 + 21159. What is the remainder when 9358 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.6 and -16.853?\nAnswer: -515.7018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 9. Let r be z(-10). What is the smallest value in r, -0.3, 5, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1.254.\nAnswer: -2.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*w + 16, -5*w + 2*o - 5 + 7 = 0. Let p(m) be the second derivative of -w*m + m**2 + 1\/3*m**3 + 0. Differentiate p(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.034, -2\/11, 10\/51 in increasing order.\nAnswer: -2\/11, -0.034, 10\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2783099 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 6*j - 88. Let v(f) = -f + 8. Let y be v(6). Suppose 3*h + 1 = -y*m, -h + 10 = -4*m + 29. Calculate the highest common divisor of j and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 42 + 63)*(2*v - 2*v + v + (-1 + 4 - 1)*(v - 1 + 1))*(1 + 0 - 3) to the form i + d*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.4. Let d = c + -0.1. Let q be (5 - 4)*(1 + -4). Is q less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4279 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110265 - 14670*c - 110265.\nAnswer: -14670*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*v - 18009 = 0, 0 = 2*x - 0*v - v - 11997. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 3\/13 in descending order.\nAnswer: 5, 0.3, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105758.\nAnswer: 2, 52879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + u + 8*u. Let j be (24\/(-16))\/((-2)\/(-8)). Let f(w) = w**2 - 6*w. Let z(q) = -3*q**2 + 17*q. Let c(a) = j*z(a) - 17*f(a). Determine c(t(d)).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 626\/13233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0413 - -0.0587. Which is the smallest value? (a) 3\/14 (b) 1\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = n - 39*i + 36*i, 3*n = -3*i + 6. Let l(c) = 2*c**2 + 14*c + 13. What is l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1005+-0.3\nAnswer: -0.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/20)\/((-42)\/(-56))*-6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -14 + -6 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25.7. Let h = -11.7 - i. Let p = -15 - h. Which is the second biggest value? (a) p (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 24 = 13*l. Calculate the greatest common factor of 30 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1386 divided by -54\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -904272 by -5.\nAnswer: 904272\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/81 and 32\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0*g + 7*g - 4*g - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 5 - 5112*g + 5294*g)*(3 - 2 + 0) to a + h*g and give h.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44374483\/390 + 113777. Let c = 37\/10 + z. Which is smaller: c or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 15 - 10) + 43 + -2 - (-3 - -8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 693, 656, 603, 540, 473, 408, 351, 308?\n\"Answer: t**3 - 14*t**2 - 2*t + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324361 is divided by 5787.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -22) + (2 - (5 - -6)) + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let m = 6 - n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (-23 - -23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 3*m + 2. Let y(k) = -3*k**2 + 3*k + 2. Let o(n) = 6*i(n) - 5*y(n). Give o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10339, 20672, 31007, 41344, 51683, 62024?\n\"Answer: k**2 + 10330*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 2 - 26) + 6 + 35\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50266373 is divided by 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 1)*6\/(72\/(-30)). Let s(p) = 37*p - 183. Let c be s(z). Solve -r - 4*q = -4, q + 18 = -c*r - 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.39 and 0.3.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8699, 17395, 26095, 34799?\n\"Answer: 2*g**2 + 8690*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*a + 11 = 0, y + 3*a - 11 = 2*a. Let i = y + -12. Does 31 divide (8\/(-16))\/(i\/186)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 10418 + 17795 + 57953. List the prime factors of n.\nAnswer: 3, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -81. Solve 3*u = 2*p + 8, 0*u - 4*u + t*p = -8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u**3 + 8*u**2 + 5*u + 6. Let l be n(-5). Let p = 7181 - 7171. What are the prime factors of l\/p - (65\/25 + -3)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*2)\/sqrt(11) + sqrt(220)\/sqrt(99))\/(-5*-2*sqrt(10) + sqrt(80)\/(sqrt(16)\/sqrt(2))).\nAnswer: 7*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393013213.\nAnswer: 23, 1213, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 40 = -2*o + 5*t, -o + t + 37 = 0. Does 14 divide (-44)\/(-6)*o - 68\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 22*o**2 - 34 + 17 as l*o + j*o**2 + m and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4)\/(-2) + 0. Solve 6*t = -b + q*t + 18, 29 = -2*b + 5*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6464 + 3*w - 5*w - 48*w**3 + 2*w - 6463.\nAnswer: -48*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 21\/14. Let n be (j + 3)*2\/24*6. Let q(g) = 113*g**2 + 1. List the prime factors of q(n).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.005 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 101. Which is the third biggest value? (a) t (b) 2\/3 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/3*32*265\/3392.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3\/8 (c) 0.3 (d) 0.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (-139 - (-19 - -14))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-32)\/7)\/(345\/(-805)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1750558.4 - 1.63838\nAnswer: -1750560.03838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.04 + -9. Let t = -4.96 - q. Which is the nearest to -1? (a) t (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33354657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11019763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282 - -536. Let d be u\/7 + (-20)\/70. Let h be (-154800008)\/d + (-4)\/(-18). What is h rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 52950202*z + 404. Let a be j(-2). What is a rounded to the nearest 1000000?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1451, -1456, -1473, -1508, -1567, -1656, -1781?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.022 + 0.038. Let v = -15 - -7.5. Let i = 7 + v. Sort i, a, -3 in increasing order.\nAnswer: -3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010 (base 3) to base 14.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41369958 is divided by 739.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 711551.334 to the nearest 100.\nAnswer: 711600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 14. Let v(o) = 5*o**2 - 8*o - 9. Let n(b) = -6*b**2 + 8*b + 9. Let s(y) = -6*n(y) - 7*v(y). Calculate the least common multiple of 14 and s(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4765?\nAnswer: 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*y + u, 2*u = -2*y - 11 + 7. Let o = -20 - -11. Let j be (1 - o\/(-15))*5. Sort j, y, 5 in ascending order.\nAnswer: y, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-205)\/((-5)\/(-1)). Let h = r - 22. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, 15, -2, 1 in decreasing order.\nAnswer: 15, 1, -2, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097976083 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454.98 - 448. Let i = f + -7. Let z be (156\/(-56) - -3)\/((-6)\/8). Is i at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-671)\/(-8) - (-13)\/104). What is the greatest common factor of 3806 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*g - 2\/5*g**2 + 2\/5 + 2\/5*g**3 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 + 3)) + -11 + 18 - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q. Let c(k) be the second derivative of k**4\/12 + 10*k**2 - 185*k. What is c(i(w))?\nAnswer: 9*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l + 10*l + 2*l - l**2. Let x be p(6). Suppose 0*a + 2*a + o - 159 = 0, 3*a + 3*o - 234 = x. What is the remainder when a is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5914 + 76831\/13. Let h = w + 45\/13. Let g = -5\/13 - h. Find the common denominator of -145\/6 and g.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97102872 and 118681288?\nAnswer: 1068131592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*z. Let m be ((-90)\/50)\/(2 - 506\/250). Suppose -m = -5*j - 3*a, j - z*j = a - 17. Solve 0 = -n - 4*t - 4, 7*n + 4*t = 4*n - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 19*u**2 + 6*u**2 - 26*u**2.\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28975*i*z**2 + 3*i*z + 47*i - 5 wrt z.\nAnswer: 57950*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 267, 966, 2125, 3738, 5799, 8302, 11241, 14610?\n\"Answer: -x**3 + 236*x**2 - 2*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 5295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.4755 millennia in years?\nAnswer: 984475.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-28))\/((-36)\/(-28))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/3513 + 14832\/1171. Let w = -12 + x. Find f, given that 0*f + 2\/9*f**2 + 2\/3*f**4 + w*f**3 + 2\/9*f**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -18. Suppose -27 + 7 = -q*t. Factor -2 + 2*y**2 + t*y**2 - 2*y + 0*y - 2*y.\nAnswer: 2*(y - 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Calculate the least common multiple of 114 and r\/1 - (1 + -4).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185747424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-53)\/(-4))\/((-9)\/(-36)). Let s = d + -264\/5. Which is the closest to -1\/2? (a) s (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 573457 or 573459?\nAnswer: 573457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 47*y + 17. Let i be s(8). Let u(t) = i*t**2 - 2 - t**3 - 2 + 3*t - 394*t**2. Let w(r) = r - 10. Let p be w(7). Calculate u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(4\/(-14) - (-13)\/70). Let m = 743 - 742. What is the nearest to k in 11, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:42 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - ((-1045)\/(-15))\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80494 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:26 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18)*-1 + sqrt(180)\/(sqrt(10) - -3*sqrt(10)) + (sqrt(126)\/sqrt(7))\/sqrt(9) + (sqrt(288)*5 - sqrt(288)))**2.\nAnswer: 374*sqrt(2) + 35097\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78992467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3524308306?\nAnswer: 2, 61, 28887773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -414, -607, -860, -1191, -1618, -2159, -2832?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65764 is divided by 255.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 2032144?\nAnswer: -2032151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523.9 + -524. What is the closest to q in 63, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 4*a - 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*j**3 + 19*j - 1 wrt j?\nAnswer: -624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 1 + 7 - 3*y**3 - 174*y**2 + 119*y + 106*y - 224*y to i*y + k + s*y**3 + f*y**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -294.94 + 302. Let z = 908.94 + l. Let x = z + -916.000758. Round x to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 28*c - 50. Is 31 a factor of i(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-1)\/(-4)*(-12)\/(-21269)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561952 is divided by 197886.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 151, 301, 507, 769, 1087?\n\"Answer: 28*g**2 + 10*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8)**(-47) assuming o is positive.\nAnswer: o**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 104*r**2 - 24*r - 89. Is n(27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 438534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23096108, 46192219, 69288332, 92384447, 115480564, 138576683, 161672804?\nAnswer: 184768927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 1054?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsssttussssss. What is prob of picking 2 s, 1 t, and 1 u?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528016, 1056017, 1584014, 2112007, 2639996, 3167981, 3695962?\nAnswer: 4223939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.00000016 + 12. Round f to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101111010001101 (base 2) in base 16?\nAnswer: -1de8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-154)\/(-22) - (1 + -1). Suppose 0*v + 16 = 2*v. Let c(l) = l - 4. Let s be c(v). Solve -s*z - o - 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28508 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 413.7, 3 in descending order.\nAnswer: 413.7, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 6*t + 4*t)*(2*t**2 + t**2 + 3*t**2)*(-2*t - 25 + 4*t - 4*t).\nAnswer: 24*t**4 + 300*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 3. Let f be 2*14*4\/(-8). Let h be n(f). Suppose 0 = x - h + 7. Solve -x = -5*a, -3*a = -4*l - a - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 59. Let z = x - -19.999996. Round z to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 3*l**2 + 2*l**2)*(1 + 4*l**3 - 1) - 2*l**5 - 14*l**4 - 6*l**4 - 2*l**4.\nAnswer: 10*l**5 - 22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + i + 3)*(4*i**2 - i**2 + 2*i**2)*(-2 - 1 - 2) to the form f*i + x*i**2 + v + d*i**3 and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(425) + -1)*-6 - ((-4*sqrt(85)*1 + sqrt(85) + sqrt(85))\/sqrt(5) + (sqrt(17) + sqrt(17) + (sqrt(17) + 1)*5)**2*2).\nAnswer: -408*sqrt(17) - 1662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 77*d - 505. Suppose -32 = -q - q. What is the remainder when x(-8) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 228. Let q = 204\/7 + -29. Which is the biggest value? (a) l (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*g + 20*g + 3*g**3 + 8*g in the form x*g + u*g**3 + t + l*g**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*q + 3, -12 = 5*q - q. Let d = -1 + 1. Let l = -15 - -13. What is the closest to d in t, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8421.302mg to grams.\nAnswer: 8.421302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6402 and 4227?\nAnswer: 9020418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-27) + (472\/18 - 2). Which is smaller: v or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 29*v + 3032. What is q(-105)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 2*b + 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 33 = 4*j, -q = 5*j - 39 - 18. Let r be -4 - 34\/(-8) - 1\/2. Which is the fourth smallest value? (a) -4\/5 (b) r (c) j (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Suppose 0*i + 3*i - p = f, -3*p - 6 = -5*i. Suppose i*h + 2*h = 28. Solve -n + 4*j = 4*n + 7, -4*n - j = h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3304.4 - -3304. Let m = 4.4 - -0.6. Sort 21, m, -2\/13, s in decreasing order.\nAnswer: 21, m, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7*c + 440. Suppose 0*w + 4*w - c = 5*v, -3*v = 3*w - 39. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 39*p - 2. Let w(t) = -37*t + 6. Calculate -4*w(k) - 5*y(k).\nAnswer: -47*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.6. Let c = -13011\/91469 + -8\/13067. What is the biggest value in c, s, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 - 7*t - 2. Let j(k) = k**3 + 4*k**2 - 6*k - 2. Suppose 0 = -2*o + 9 - 1. Let f(v) = o*j(v) - 3*l(v). What is f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380847671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3555*m + 7412. What is i(2)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x + 5. Let f = 29 - 15. Let a(z) = 5*z - 57. Let d be a(f). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1 - sqrt(117))**2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6)**(-20))**(13\/2) assuming d is positive.\nAnswer: d**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9803*v = 9799*v + 2*z - 30, -21 = 5*v - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 468570760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 2*w + 23, 5*w = -2*r + 15. Let v be ((-10)\/(-8))\/(2\/8). Solve v = r*g, -3*g - 2 = 2*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.2388098 rounded to two dps?\nAnswer: -130.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -77. Which is smaller: c or 3.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2\/8 + 39*a - 85695\/2 = 0.\nAnswer: -394, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 7*l + 6*l + 71838 = 0. What is the highest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = 2*i, i + 5*b + 20 = 3*i. Suppose i*v + 209 = v. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnll. Give prob of sequence ll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i. Let u(j) = 29 - 2*j - j + 5 + 12. Give m(u(t)).\nAnswer: 9*t - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -917*m*u**3 + 27*m*u**2 + 3*u**4 + 57*u**2 wrt u.\nAnswer: -5502*m + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**3 + 7*w**2 - 2*w - 2. Let r(i) = 11*i**3 + 10*i**2 - 3*i - 3. Let z = 59 - 64. Let l(n) = z*r(n) + 7*o(n). Calculate l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6830 = -10*s - 0*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -414 - 584. Let k = 1588 + l. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5962 - 2676939\/449. Let n = -9427\/898 + u. Find the common denominator of (2\/(-5))\/((-64)\/80) and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2. Let n(b) = -436561*b**2. What is n(i(x))?\nAnswer: -3929049*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4397 + -4396. Suppose 2*u - 3*u + 1 = 0. Calculate the remainder when u is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, w: 1, b: 5, r: 1, f: 1}. What is prob of picking 3 m and 1 b?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -139\/2*t**2 - 10*t**3 - 216 - 204*t - 1\/2*t**4 = 0.\nAnswer: -9, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*z - 3230*z - 53213 + 642126 = 2077*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 24*p + 46. Let a be m(26). Let b(r) = 7*r**2 + 3*r - 2. Let l(u) = u**2 + u - 1. Determine a*l(g) + 2*b(g).\nAnswer: 8*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 14*c**2 - 26*c**2 + 0*c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**2*i**3*m**3 + 7*d**2*i**3 + d*i**2*m**2 + 2*d*i**2*m + 7*i**3*m**2 - 5*i**2*m**3 wrt d.\nAnswer: 12*i**3*m**3 + 14*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -y + 4699, 4*l - 5802 = 5*y + 419. Calculate the remainder when l is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - 14*q - 17. Let y be l(-5). Suppose 35 = 3*a - 2*a. Let i = y + a. What is the highest common factor of 143 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let o = 3283.9 + -3284. What is the third smallest value in -0.5, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3661 divided by -1287.\nAnswer: 3661\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274144205 to the nearest integer?\nAnswer: 16557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-2)\/(-8) - (-63)\/(-36)). Suppose -w*l + 6*l = -90. Let u = l - -96. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 91 + 5*j**2 - 91. Let u(d) = -4*d - 7. Let s(x) = 3*x + 5. Let p(b) = 7*s(b) + 5*u(b). Calculate m(p(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -851, -1939, -3471, -5453?\nAnswer: -7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 435, 310, 61, -354, -977?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) -4 (c) -5 (d) -0.01 (e) 0.17 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02983 to four decimal places.\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + (-19)\/(-3). Let x be -4 + (-16)\/4*-1. Solve 2*q + 5*s + 14 = x, 3*q + n = -4*s - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Suppose l*a = -4*f + 4, -3*a - 3*f = a - 5. Solve a*w - 5*n + 38 = 12, -n + 4 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 + 3*j + 4. Let h = 4 - 7. Let u be v(h). Suppose u*z = -1 + 13. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -40 (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-1)*18\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 954639?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 3*i**2 - i - 1. Suppose -4*v - 16 - 8 = 4*k, 4*v = 5*k + 3. Give d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208568?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697843 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/3*r**2 - 1 + 7\/3*r**3 - 7\/3*r - 10\/3*r**4 = 0. What is r?\nAnswer: -1, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 7*f - 4*f**3 - f**3.\nAnswer: -6*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30709*l + 33809 + 21253 = 29260*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21341 = -2346*h - 13849 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13235 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*g = 485, -173 = -2*l - g + 18. Is l a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27641 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -824500, -1649012, -2473524?\n\"Answer: -824512*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h + 3. Let j be k(3). Is (1 + 0\/j)*7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 246104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -3 + 5)**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 11430?\nAnswer: 11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693724 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqauuaqqusauqueusuu. What is prob of sequence euqa?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101376 is divided by 206?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:58 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.11, 0.1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((576\/(-4))\/6)\/(15\/30*-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3671\/6 - 611. Let q = f + -47\/42. What is the nearest to q in -1, -0.3, -5, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*15\/(-6480))\/((-7)\/(-21)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(72)*-1) + -2 + (sqrt(128) + (sqrt(128) - (sqrt(128) + 1)) - sqrt(128)) + 5)**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8839 or 8841?\nAnswer: 8841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*6)**2 + sqrt(252) + -4)*-4.\nAnswer: -121952 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 7 - 2 = -5*g, -5*g = f - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z. Suppose z*k = -5*k - 75. Let u = k + 39. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32258 - 32222. Solve -2*n = o*p - 41*p - 23, 4*p + 2*n + 22 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-nine quarters of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 - -9.6. Let x = -6.9 - 0.1. Let v = x + d. Which is the third biggest value? (a) v (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 111, 1, 2 in ascending order.\nAnswer: -1, 1, 2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2) + 6*(2 - -2). Suppose -5*o + 3*t + 701 = x, 0 = 2*o + 4*t - 262. What is the greatest common factor of 180 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(56)\/sqrt(8)) - (sqrt(180) + 2 + sqrt(180)))**2 - ((sqrt(540) + sqrt(60))*-4)\/(sqrt(72)\/(sqrt(6)*2 + sqrt(6)) - sqrt(12)).\nAnswer: 20*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 20*h**2 - 18*h - 1. Let p(r) = -2*r**3 - 19*r**2 + 18*r + 1. Let n(o) = 6*p(o) + 5*y(o). Find the second derivative of n(m) wrt m.\nAnswer: -12*m - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19129 + -9841. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 289980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/91450 and -37\/5900.\nAnswer: 182900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 18*d**2 - 3*d + 61. Suppose 57 = 3*q - s, 4*q - 39 = q - 5*s. What is the remainder when (-51)\/(-2) - (-2)\/(-4) is divided by n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.875 + 0.125. Let r = i - 73.24. Let v = -0.24 - r. Which is bigger: v or 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -7.24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5, -2*h - 62 = -7*b + 3*b. Suppose 3*p - 18 + 2 = 2*r, r - b = -2*p. Let z(c) = 2*c**2. Let a(i) = i**2. What is p*z(d) - 10*a(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 16 = 104. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*v = 4, -f - 4*f = 5*v. Calculate the common denominator of f\/(-11)*56 + 2 and 121\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.367263 months to years.\nAnswer: 1.03060525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*s + s - 1, 10 = -5*b - 4*s. Let g(a) = -2*a**2 - 13*a - 2*a**2 - a**2. Let h = 1 + -10. Let o(w) = -w**2 - 3*w. What is b*g(m) + h*o(m)?\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1016738596*h + 934713867.\nAnswer: 1016738596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxw when three letters picked without replacement from {w: 1, y: 4, x: 4, t: 2, z: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83696.109 hours in weeks?\nAnswer: 498.191125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65.50215kg?\nAnswer: 65502150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/(-45) - 228\/190.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25051588 is divided by 82.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(6)\/((sqrt(2) + sqrt(2)*-5)*-6) - (2 + sqrt(3) + 4*sqrt(3)*-1)**2).\nAnswer: -186 + 289*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 43*d**3 + 13*d**2 + 13*d + 91. Is v(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 26*t**2 + 44*t.\nAnswer: 2*t*(t - 11)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 937 - -1503. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*v - 4005, l = -3*v - 494 + 2501. Suppose -5*t - 2*p + l = -4155, 3683 = 3*t - 5*p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - 21. Let o = -10873796205.00000059 - -10873796150. Let b = y - o. What is b rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7128 and 131652?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*k**2 - 3 - 3 - k**3 + (0*k + 2*k + 0*k)*(104*k**2 - 9*k**2 - 15*k**2).\nAnswer: 159*k**3 + 2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-2 - 8) - (-213)\/(-21). Which is the closest to 0? (a) 1\/2 (b) -0.33 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14836249?\nAnswer: 14836249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.049 - -4. Let m = 0.0490055 + y. Round m to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p**2 + 245*p - 11. Let a(x) = -10*x**2 - 122*x + 6. Determine -11*a(o) - 6*y(o).\nAnswer: 2*o**2 - 128*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23943?\nAnswer: 3, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(-3*v**4 - v**4 + 3*v**4) + 777*v**4 + 2436*v**4 + 995*v**4 to t*v**2 + z + b*v**4 + h*v**3 + r*v and give b.\nAnswer: 4210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 911, 914, 917?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2853 = x, -x + 910 = n - 1955. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (27 - (-5 - 15))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*w = -437*w + 1755 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5499 and 0.1.\nAnswer: -5498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*((2*f + 0*f - 3*f)*(5*f - 2*f + f) - f**2 + 0 + 0 - 12*f**2 - 16*f + 16*f + 3*f**2 + f**2 - 3*f**2).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 361\/10 - 2\/20. Calculate the highest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 11 - 4 = -29*l + 8 + 72, 5*l - d - 13 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-135)*819\/78 - (-590)\/252\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 2*w - 2. Let t(s) = -4 - 1 + 7*s - 4 - 75*s**2 + 2 + 90*s**2. Suppose -5*x = -2*d - 16, 3*d + 15 = 3*x - 0. Determine x*t(q) - 7*o(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -141 in 5\/28, 3\/8, 0.04, 2\/15?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 163 - -73) + (0 - -59).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-13) + 2625\/14950)*16. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 100232?\nAnswer: 100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890, 3603, 8124, 14453?\nAnswer: 22590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -1\/4, -0.9, 3\/8 in descending order.\nAnswer: 123, 3\/8, -1\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 522*h - 6. What is k(-1)?\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384852373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and 63\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624, 1253, 1968, 2811, 3824, 5049, 6528?\nAnswer: 8303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 19*l**2 + 295*l**3 - 316*l**3.\nAnswer: -21*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/10 + 17*t**4\/3 + 2*t**3 + 3*t**2\/2 - 768*t. What is the second derivative of c(l) wrt l?\nAnswer: 36*l**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 2. Calculate the remainder when c(9) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3409, -6856, -10325, -13828, -17377?\n\"Answer: -2*x**3 + x**2 - 3436*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.4, -5\/6, 2\/35, 0.08?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/5*1*(-1)\/6)\/(47880\/15390).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**3 - 464*j**2 - 145*j + 699. Give s(-77).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2657561054 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 - c**2 + 5*c**3 - c**3 + 2*c + 3*c**2 - 3. List the prime factors of l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2142\/1901?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-4)\/6 + 20. Solve -3*l - 2*t = -7, -3*l = -5*t + 2*t + n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -4. Let q = r - 5. Suppose 4*f - 71 + 11 = q. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2. Let m(j) be the first derivative of -72*j**2 - 6237. Calculate v(m(x)).\nAnswer: 124416*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(-3\/11)\/(l**(-2\/5)*l**(5\/3)) assuming l is positive.\nAnswer: l**(-191\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m. Let a(i) = -9*i**2 - 1 + 10*i**2 + i**3 - 25*i + 11*i + 13*i. Calculate a(c) - l(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:20 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.129+606.428\nAnswer: 606.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 57*r**2 + r. Let u be b(-1). Let o be 328\/u + (-2)\/(-14). Find the third derivative of -i**2 - 2*i**2 - o*i**3 + 5*i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6050.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v + v - 16*v.\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960154536 and 3482.\nAnswer: 3482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 3*h**2 + h - 2. Let j be r(-1). Suppose 6 = -j*t - 6. Let d(v) = v**3 + 6*v**2 + 2*v + 6. Determine d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -43. Solve -j*h + 1 = -4*r, 0 = 2*h + 5*r - 0 + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + 25*b - 31. Determine i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*f**5 + 2)*(-1 + 0 - 2).\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -299\/892979 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a - 16. Determine v(23).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/63*(-7875)\/(-4125).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26594, 26583, 26566, 26543, 26514, 26479, 26438?\nAnswer: 26391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 861 and 3157?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + 27*b**2 - 7*b + 5. Let u be a(-5). Let o(z) = z - 1. Calculate o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -8*m + 14\/3*m**3 + 5\/2*m**4 - 11 - 8*m**2. Find k, given that h(k) = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/74700284?\nAnswer: 3\/74700284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.91 + 0.09. Let f = s - 9.5. Which is the third biggest value? (a) -2 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:39 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - -83618?\nAnswer: 83576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:23 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:10 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 0, -512 = 29*u - 33*u + 5*z. Solve -34*r - 60 + u = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54390 is divided by 6795?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 682818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awww when four letters picked without replacement from {w: 11, a: 3, n: 4}.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347 - -2433\/7. Let y be 12\/9 + 2\/(8\/(-4)). Sort y, -2, h in ascending order.\nAnswer: -2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 2*r**3 + 5*r**3 + (-6*r - 10 + 10)*(4*r - 4*r - 8*r**2).\nAnswer: 50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43284.64081 - -43287. Let y = h + -2.4592. Let n = 0.1 + y. Round n to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010012001 (base 3) to base 7.\nAnswer: -121105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 3*u)*(50*u - 14*u**2 - 50*u)*(4 - 5 - 8).\nAnswer: -126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 8*t - 7. Let h be k(9). Suppose -4*y - 3*b - 2265 = 0, -h*b = -y - y - 1150. Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1149 or -5\/2?\nAnswer: 1\/1149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482836 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 4*n)*(-3*n**2 - 3*n**2 + 7*n**2) + n**2 - 2*n**3 + n**2 + 0*n**3.\nAnswer: -4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2316783 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*p - 1115 = 0, -2*d + 560 = -d - 4*p. Is 46 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/17364456 and 53\/5697.\nAnswer: 17364456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/18 + 70\/(-630). Differentiate 23*c**4 - 24*c**4 + 95*c**2 + 23 + 4*c**3 - 4*c**3 + 0*c**o wrt c.\nAnswer: -4*c**3 + 190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 286, 664, 1200, 1900, 2770, 3816?\nAnswer: 5044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 758226 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1740725nm?\nAnswer: 0.0000000000001740725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1059*h**2 + 4*h - 23. Let x = -39 - -52. Let m be p(x). What is m rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 34?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 20 = 10*y. Let s be y\/(-15) + 7453\/(-3). Is s\/(-30) + 1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {z: 2, c: 1, i: 1, r: 1, u: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 241. Let s = r - 35. Suppose -49*q = -30*q + 56*q - 225. Solve 2*v + p = 3, 8*p - 3*p = q*v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**3 - 3*c**2 - c + 1. Let g = 31 - 57. Let t = 42 + g. What is the remainder when x(-2) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 971 and -2.2.\nAnswer: -2136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49842, -99683, -149524, -199365?\n\"Answer: -49841*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 93. Solve 3*c = -5*r + a, -5*r = 5*c - 3*c - 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 6*b - 24. Give t(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 - 77*w**2 - 28*w + 17. Give c(16).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156065762 to the nearest integer?\nAnswer: 12493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8 and -18\/182579?\nAnswer: 1460632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -14. Let h = 2 - w. Suppose -338513 - 357487 = -h*o. What is o rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 240, -4\/9, 3, 4, 3\/20?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y**3 + 7360*y**2 + 48*y. Let c(x) = -38*x**3 + 29439*x**2 + 200*x. Give -6*c(i) + 25*q(i).\nAnswer: 3*i**3 + 7366*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040318 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Find the third derivative of -10*h**4 + 5*h**2 - 3*h**4 - h**f wrt h.\nAnswer: -336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + -26. Let a = -233\/160 - 7\/160. Sort 1, q, a in increasing order.\nAnswer: q, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 14427676\nAnswer: 8656605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19120 and 800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let p(v) = -2429*v**2 + 1 + 1211*v**2 + 1217*v**2. Let n(o) = -24*o**3 + 34*o**2 - 10. Let i(t) = j*n(t) - 6*p(t). Solve i(l) = 0 for l.\nAnswer: -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3\/6 - 7*c**2\/2 - 2*c. Let h be g(4). Is h\/(-6)*37*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h + 121*h - 91*h + 19*h + 6 - 6.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -19. Suppose -k + s*k - 452 = 0. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 5888.6261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-77)\/168*3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-9)\/(45\/(-10)))\/((-4)\/(-186)) is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2769 = 5*q + 4*t, 12*q - 4*t - 2244 = 8*q. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2032\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from luaallaalauaaa.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23683071.6 milliseconds in days?\nAnswer: 0.274109625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -732*u**4 - 59*u**3 - 3*u**2 - 23112*u + 1 wrt u.\nAnswer: -17568*u - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2364*s + 20 = n + 2370*s, 0 = 4*n + 4*s - 40 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 688464139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -23. What is the closest to 2\/7 in -5\/3, -3, j?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 74 = 7*k, 0 = p - 5*k + 21785 - 21727 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203 - 1220231?\nAnswer: -1221434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 64*s**3 - 3*s**2 - 44*s - 40. Determine g(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17718 - 9688. List the prime factors of p.\nAnswer: 2, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -298809, -298771, -298733, -298695, -298657?\n\"Answer: 38*h - 298847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 21.4681476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -444, -1784, -4036, -7212, -11324, -16384, -22404, -29396?\n\"Answer: -2*w**3 - 444*w**2 + 6*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.9. Let x be ((-4)\/14)\/((-48)\/224). What is the third biggest value in z, x, -2\/57?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2200689667 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Suppose 2*x - 5*k = x, 0 = -f*x - k. Suppose -3*z + 2*j + 60 = x, -3*z + 86 - 23 = -3*j. 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 20 (base 15) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/21 - (-4)\/(-14). Sort -7, -4, r in increasing order.\nAnswer: -7, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 + (12 - 6 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 2. Let b(q) = -8*q - 4. Let w(z) = 2*b(z) + 5*c(z). Determine w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2728)\/(-744)*(-510)\/(-55).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -291*i**3 + 479*i**2 - 10. Let d(u) = 437*u**3 - 719*u**2 + 16. Let b(j) = -5*d(j) - 8*g(j). What is the third derivative of b(v) wrt v?\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from tngtooootoog.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q - 1152 - 504 = 0. Let x(y) = -y**3 + y**2 + y + 156. Let s be x(0). Calculate the greatest common factor of s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23753031 minus 3?\nAnswer: -2.76246969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/6 + 20*j**2\/3 - 8448*j - 857088 = 0.\nAnswer: -144, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 665332788 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*f*x**2 + 23286*f*x + 675*f - 2955 wrt x.\nAnswer: 210*f*x + 23286*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 69, 87, 111?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2) - (-2 + 1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3. Let m be v(-6). Suppose -m*w - 20 = -8*w. What is the second derivative of -3*k**w - 2*k - k**3 - k**4 + k**3 wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 divided by -1880?\nAnswer: 125\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 34*m + 177. Calculate d(-18).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((13 - 10) + 15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*t + 3*t - 9, 3*a + 4*t = 9. Let x be (-2)\/a - (-20)\/3. Suppose v - x = 1. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*((-6)\/5 + 1). Suppose 2*h - 5*m - 6 = 0, 3*h - 44*m - 9 = -39*m. Find c such that -16\/5*c**2 + 7\/5*c**h - 2\/5 + y*c = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 14) in base 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*f**(-2\/15))**(-24) assuming f is positive.\nAnswer: f**(-1304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 + k - 3. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1 - (-108 - -103)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*u + 3*u. Let d be 9 + 4*(-1)\/(-2). Let j = 56 - d. What is the highest common divisor of u and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**5 + 20*s**4 - 125*s**3 - 140*s**2 = 0.\nAnswer: -7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200067419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -14, 4, 19 in increasing order.\nAnswer: -14, -5, -1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 106040*t - 212060.\nAnswer: -5*(t - 21206)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 - 2540?\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-910)*(-3)\/6.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -182, -713, -1622, -2927, -4646, -6797, -9398?\n\"Answer: -3*l**3 - 171*l**2 + 3*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546209 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -6177?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.578 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11 - 128 + 5*k - 24*k - 63*k. What is the hundreds digit of d(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7\/6)*u)**25\/((u**14*u)\/u*u**(3\/2)) assuming u is positive.\nAnswer: u**(191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28d95b (base 14) in base 15?\nAnswer: 1d0d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 44*g**2 - 52*g + 1107. Calculate k(-45).\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7969, -31863, -71673, -127399, -199041, -286599?\n\"Answer: -7958*t**2 - 20*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27935894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 + -4?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*b = -84*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4)**10\/((t*(t**(35\/2)\/t)\/t)\/t)**35 assuming t is positive.\nAnswer: t**(-1145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 + 9*g + 7. What is q(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 - 75 + 12)*(-12*g - 12*g + 31*g).\nAnswer: -1148*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2988, -10097, -21956, -38571, -59948, -86093, -117012?\nAnswer: -152711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(4 + 2 + -7). Suppose 2 = -k + 3*k - n*v, 2*v = -k + 1. Is 0 - ((0 - k) + 5907)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13037853 is divided by 744.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + c - 1 + (-2 + 1 + 0)*(-2*c - 4*c - c)*(8 + 2 + 1) in the form q + l*c and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 121 = -7*r + 121. Let v(h) be the first derivative of 0*h**3 + 6\/5*h**5 + r*h**2 + 5 + 0*h**4 - 20*h. Differentiate v(k) with respect to k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4503 divided by -882\nAnswer: 1501\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2 and 4\/10 + (-97)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4303 - -4308. Let y be 1\/(-4)*(-8)\/(-6). Let b be 2\/5 + 2\/(-2). What is the closest to y in j, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -7\/2*p**2 - 6 - 1\/6*p**3 + 3*p. Determine m(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12652453 to the power of 1\/2, to the nearest integer?\nAnswer: 3557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let t = -1643 + 1642.7. Put 0.23, 3, g, t in decreasing order.\nAnswer: 3, 0.23, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, o: 2, q: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4392)*6)\/(18\/16*(-102)\/(-459)).\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 9:01 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -7.42.\nAnswer: -5.3424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -0*l. Suppose 2*b = l*x + 200, -3*b - 225 = -0*x + 5*x. Are -41 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 10. Let w(v) be the second derivative of v**4\/12 + 4*v**3\/3 + 6*v**2 - 2*v. Let g be w(-6). Sort -3, n, g in increasing order.\nAnswer: -3, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49ab2 (base 14) to base 13\nAnswer: -641ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + sqrt(114) + 1*(sqrt(114)*2 - sqrt(114)) - sqrt(114))\/(sqrt(18)\/sqrt(3)*-5).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16 + 5*j - 16. Let i(p) = -3*p. Determine c(i(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/440 and 53\/64?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 34*s - 32*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*g - 140*g + 7 = -1. Let p(q) = q**3 - q**2 - q - 1. Let r(i) = 10*i**3 - 8*i**2 - 7*i - 8. Give g*r(u) + 6*p(u).\nAnswer: -4*u**3 + 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 33*r = -32*r - 3, 2*r = -3*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let u(r) = 373*r. What is u(q(j))?\nAnswer: 746*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*p = 29, 23 = -2*b - 2*p + 7*p. Let c(q) = -1 - 4 - 2*q - 5*q + 2*q. List the prime factors of c(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1148623 + -1618543. What is l rounded to the nearest one thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437129?\nAnswer: 3, 17, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 23 + 3 = 0. Suppose -p - 3*y = 11, 27 = -p + a*p - 3*y. Solve u + 2*d - 6 - 6 = 0, -2*u + d = -p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 12*r + 9*r - 14*r - 9*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.67536816 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from {t: 2, a: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525534 by -175178.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 14\/(-4) - -3 - 90\/(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.288 + -0.25. Let h = b + 19.962. Let p = h + -30. Sort 4, 1\/5, p in decreasing order.\nAnswer: 4, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313148 is divided by 940.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 3, s: 9, k: 3, v: 1, n: 2}. What is prob of picking 1 k, 1 u, and 2 s?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 18*n = 13*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -0.401?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -211. Let o be (m - (-1330)\/50) + (-4)\/(-10). Calculate the highest common factor of o and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2242 + 3?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29077 - -35.4.\nAnswer: -29041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -25. Let r(a) = 49*a - 8. Let s be r(b). What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5842, 5842, 5836, 5818, 5782, 5722?\nAnswer: 5632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*c*t**2 - 2*c*t + 143*c + t with respect to t.\nAnswer: 140*c*t - 2*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125))*-6)**2 + 2 - (4 + (sqrt(320) - ((sqrt(320) - ((sqrt(320) + 0 + sqrt(320))**2 + -1)) + sqrt(320)))).\nAnswer: 8*sqrt(5) + 3219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -994*y - 50. Let x be t(-5). Suppose -9*g + x = -13*g. Let k = -811 - g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*d + 89*d + 602. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -30155\nAnswer: -3\/30155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, 0.2, -4\/3, -5 in increasing order.\nAnswer: -5, -4, -4\/3, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33520395.\nAnswer: 3, 5, 2234693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l + 4. Let z be l\/21 + (-16)\/7. Is -2 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917884 divided by -506.\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 14065, 77\/6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (22 + 1 + -1). Let x be 315\/65 - 4\/w. Solve -h - 20 = 2*h - 4*o, x*o = 3*h + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f**4 + 2*f**5 - 67838*f**2 + 67838*f**2 + (f**2 + 0*f**2 - 3*f**2)*(-2*f**3 + 10 - 10 - 2*f**2).\nAnswer: 6*f**5 + 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 36, -67, 290, 0 in descending order.\nAnswer: 290, 36, 4, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/840 and 155\/16464.\nAnswer: 82320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 192881\/2520?\nAnswer: 192881\/2520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 558?\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 3648720*s - 3648725.\nAnswer: 5*(s - 729745)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 + 17*g**3 - 12*g**3 + 14*g**3.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i - 84 + 776*i + 176 - 92 in the form b*i + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6458\/105 + -1258\/21. Factor -16\/5*d - 2*d**2 - v - 2\/5*d**3.\nAnswer: -2*(d + 1)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (300\/24)\/(-25) + 27\/6. Solve g - f = s, -4*f = -g - g + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 + 5465727*z**3\/2 - 32794335*z**2\/2 + 49191493*z\/2 - 10931442 = 0. Calculate z.\nAnswer: 1, 4, 5465721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t**2 + 14*t - 1. Let k(o) = -5*o**2 - 5*o. Let y(m) = -6*j(m) - 17*k(m). Let p be y(0). Let s(a) = p + 2 - 8 - a. Let l(w) = 6*w. What is l(s(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:50 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 41 - 20 - 8*r + 4*r - 20 - 2*r. What is k(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -58 - 294*x - 60 + 221 - 54 - 53. Suppose -5*l = 11 + 4. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10244506989 to four dps.\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231*a**4*n**2 + 62*a*n**2 + 3*n**2 wrt a.\nAnswer: 2772*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11315*n**2*s**3 - 79*n**2 + 13*n - 2*s**4 wrt s?\nAnswer: -33945*n**2*s**2 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -703? (a) -14 (b) 4 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 - x**5 + 0*x**5)*(-1 + 0 + 4).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 23 = 3*t, -15*r - 19*r - t = -10*r + 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-545 - -548 - (2 + 2 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - n - 5036 = 0, -5*n + 1018 = -c + 2678. What is the remainder when 113 is divided by c\/44 + (-10)\/55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 416*b = -6077 - 8643 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 2, s: 7}. What is prob of sequence qsds?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 12) in base 8?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247\/2 - 134. Suppose 155 = -2*f + 27. What is the common denominator of 0\/25 + -71*(-1)\/f and u?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 31, 1, 0.5, 78, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229846 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 16. Suppose -g*u + 134 = -62. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + -d5cf?\nAnswer: -d627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 2\/5*p**4 + 0 + 4\/5*p + 8\/5*p**3.\nAnswer: -2*p*(p - 2)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 130, 549, 1366, 2713, 4722?\nAnswer: 7525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1094, -1151, -1220, -1283, -1322?\n\"Answer: 3*n**3 - 24*n**2 - 6*n - 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/114 (b) 7 (c) 103 (d) 4 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 2*b + 6*b. Give u(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 73 = 30. Suppose h = 49 - j. Suppose 2*n = 3*a + 10, -5*n = 2*a - 0*a - h. Solve -11 = -3*f + n*o, -f - 2*f - 2*o = -19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i - 5. Let l be j(5). What is the highest common factor of l and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203011031 - -12?\nAnswer: -1203011013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3196*l - 5986*l - 5113*l + 2035*l.\nAnswer: -12260*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2*2\/(-12)). Suppose y*c + 4*f = -f - 13, 0 = -5*c + 2*f + 30. Suppose -c*n + 168 = -24. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 112. What is the nearest to y in 0.3, -8, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:49 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 8*m + 42 = 0 for m.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 46*v**2 + 11*v - 129. Is 4 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 + t**4\/24 + t**3\/2 - 140*t**2. Give p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from eepgpuepssseessu?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311500 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*p + 878, -1622 - 573 = -5*u + 5*p. Calculate the remainder when u is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:15 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a factor of 36392274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**1\/(v\/v**0*v)**(-4) assuming v is positive.\nAnswer: v**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9 = 7. Solve -a*m + 11 = -9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-9))\/((-20)\/6))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 7*a. Let d be y(7). Suppose -2*f + 7 + 5 = d. Suppose 0 = 5*z - 2*r - 52 - 79, 0 = r + 3. Solve -q + f*q + z = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and -56\/6470511?\nAnswer: 12941022","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8974.\nAnswer: 2, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -573 bigger than 2994\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55031 - -4?\nAnswer: -55026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 2, t: 1, c: 2, i: 2, e: 12}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 33*j**2\/2 + 20. Let k(l) = -2*l**2. Calculate q(k(m)).\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -9a?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 - 8 + u + (-5 + 4 + 3)*(-709 - 43*u + 709) - 3*u + u - u in the form r*u + h and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (836\/418)\/((-30)\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-461.\nAnswer: -8298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 2)*(0 - 1 - 1) - 1 + 0 + 2)*(-1 + 2*t + 1)*(-4 - t + 4)*(-18 + 2 + 10 + 2*t) in the form v*t**3 + j*t + a + l*t**2 and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158.24 * 1260.\nAnswer: 199382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, 7\/23, 1\/7, -3\/7, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 29735 divided by 2?\nAnswer: 29735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/974 and 37\/958.\nAnswer: 466546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315480 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwjjjwjwwjjj. Give prob of sequence wwjw.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)*(0 - 3). Let g = 0.01 - -0.05. Let d = g - 4.06. Which is the smallest value? (a) 1 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - 4\/(-10). Suppose 2*r + 4*t + 17768 = w, -1899 = -2*r - t - 19652. Let a = 124303\/14 + r. Calculate the common denominator of a and -31\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267117.38 times 0.4?\nAnswer: -106846.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/4 + j**4\/3 - j**3\/6 - 2*j**2 - 2*j. Let q(y) = -9*y**3 - 7*y**2 + 2*y + 7. What is 7*i(h) + 4*q(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10986103 take away -0.28?\nAnswer: -10986102.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -7375614, 2\/11, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8494653.\nAnswer: 1\/8494653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -686, -1378, -2072, -2768, -3466, -4166?\n\"Answer: -i**2 - 689*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a hour in minutes?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 10082616.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 7) - (4 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-48)\/(-27) - 80\/(-45). Let x = -5 + 9. Suppose 3*o - a*o - x = 0. Solve -z - o = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3921*l**2 + 82130*l - 82130*l + 1319*l**2 + 2202 wrt l?\nAnswer: 10480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:20 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/6 + 12*l - 10. Let b(h) be the first derivative of c(h). Let k(m) = 16*m**2. Determine k(b(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 487*x - 490*x = 0, 0 = -7*i - 3*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*c + 649 - 179, -5*c = g - 458. What is the highest common factor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23970949187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.87 + 4.47. Which is the nearest to 2\/3? (a) 0.2 (b) y (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -255, -255, -257, -261?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 14330339.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.61 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.35 + -99. Let i = n - 0.35. Let a = 0.08 + -0.11. Put 2\/7, i, a in descending order.\nAnswer: 2\/7, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 - 60*p + 153 = 0. What is p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5536*f**2. Let j(l) be the first derivative of -l**2 - 2521. What is r(j(k))?\nAnswer: -22144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -906.07398 * 3.\nAnswer: -2718.22194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 20*t**2 + 8*t + 91. What is the units digit of i(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 - 14*l + 4. Let p be q(2). Which is the second biggest value? (a) -133 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 4536 = -12*g - 24*g. Calculate the remainder when 671 is divided by g.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) -9 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*-4*(sqrt(245) + (sqrt(245) - (sqrt(245)*3 - sqrt(245)))*3)*-5 + 0)**2.\nAnswer: 42336000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -25. Suppose -3*r - 42 = -2*k, -14 = 2*r + 4*k - 2. Calculate the lowest common multiple of t and (-9 - -1)*r\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let i(p) = 1 - 3*p + 5*p + 0*p - 2. Let o be i(2). Let n(d) = d**2 - d**2 + o*d**2. What is n(w(l))?\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 w, and 1 m when four letters picked without replacement from mrgwgvmwgrrmgvgrrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -12403\nAnswer: 25\/12403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1615265207 to 3 decimal places.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 95 = 73. Let d = -696 + 708. Calculate the least common multiple of d and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/231 and -25\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20*(-5 - 311738\/28). What is b rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 3. Let h(y) = 1. Calculate -6*h(a) - w(a).\nAnswer: 2*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-2) - (32 + -36))*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 w, and 1 u when four letters picked without replacement from gugugwuuuugug.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-18) - (7 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3734032 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gphh when four letters picked without replacement from shpgh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*y**2 + 7895*y - 6943*y**2 + 36902*y**2 - 7895*y.\nAnswer: 31025*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 15*g + 25*g - 30*g - 1 to o*g + u and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqsvbvksbsfss. Give prob of picking 1 k and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001500611 to 5 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32932.9833 - -32929. Let h = v - -3.37. Round h to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -32. Let b(u) = -u**2 + 4*u + 8. Let c be 2\/2 - (-3 + -2). Let j be b(c). What is the nearest to 0 in j, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352692 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66a12 - -184?\nAnswer: 66b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*k**3 + 637 - 1275 + 638 + 461*k**3 - 229*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 10, 36, 76, 130?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 11*u + 63, 0 = 121*r - 126*r - 2*u + 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 576\/35 (c) 13 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154.54 - 10.79. Let o = -144 + d. Which is bigger: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifths of a minute in seconds?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0835.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 39 - 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23895352 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(147) + -2 - sqrt(147)))**2 - (4 + (sqrt(147)*-1 - sqrt(147))**2)) + 5.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/(2\/10). Let a be ((-262)\/4)\/((-7)\/(-14)). Let y = a + 139. Solve f*g - g - y = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5647\/980 + -3\/245. Let h = -1384 + 13827\/10. Calculate the common denominator of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095138303?\nAnswer: 3, 7, 52149443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/q**8))\/q**(1\/5) assuming q is positive.\nAnswer: q**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/(s\/(s*(s\/(s\/(s*s**(1\/2)*s*s)))\/s))*(s**(-1))**(24\/5)*s*s**6*s\/s**(2\/15)*s**2*s*s*(s*s*s**2)\/s assuming s is positive.\nAnswer: s**(377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 7*b**2 - b + 9. Suppose 3 = -3*d, 2*k - 82*d + 79*d = 17. What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wcawtdcadftwcwtd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 923, 3706, 8357, 14882, 23287, 33578, 45761?\n\"Answer: r**3 + 928*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -13*m**6\/20 - m**4\/12 - 82*m**3\/3 - 319*m**2. What is the first derivative of u(r) wrt r?\nAnswer: -234*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3\/5, 571, 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3484 + 3489. Let l(f) = -f**2 + 3*f - f**3 + 3 + 3*f + 5*f**2. Determine l(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - (-5 - (-1 + -7)) - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -470*q**4 + 1347*q**4 + 8 - q**3 - 482*q**4 - 443*q**4 + 0*q + q + 3*q**2 to the form d*q**2 + u*q + k*q**4 + o*q**3 + x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2 + 6 + 5*z + 0 + 50*z. Let g be l(5). Suppose -2*v + 5*h = -g, -v - 2*h = h - 114. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 8361021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetpeteppttpep. Give prob of picking 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*g + 52 = -2*g, 5*t + g = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7109928, -14219823, -21329716, -28439607, -35549496, -42659383?\n\"Answer: r**2 - 7109898*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**3 - 79 - n**3 + 12 + 32 + 36. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 8*v + 5. Let d be r(-5). Suppose -y = 2*y - d. Let s(a) = a - 3. Calculate the least common multiple of y and s(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -9 - -7 - -7 - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(80)\/sqrt(128)) - ((0 + sqrt(637) + sqrt(637))**2 - (sqrt(13) + sqrt(39)\/sqrt(3))*4)) + 5.\nAnswer: -2543 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 1. Let v be t(1). Let p(q) = -4*q**3. Let g be p(-1). Let n(a) = 8*a - 124. Let x be n(17). Solve g*j = -v*j - x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30588317 to 4 decimal places.\nAnswer: 0.3059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 3*o - 4*l + 22, 14 = 3*o + 2*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -701011 - -1126?\nAnswer: -677663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 46, 0, 37544 in decreasing order.\nAnswer: 37544, 46, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27139.3kg in tonnes?\nAnswer: 27.1393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*m**2 + 1\/3*m - 7\/6*m**3 + 0.\nAnswer: -m*(m - 1)*(7*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let s(f) = 1169*f - 4. Give s(i(o)).\nAnswer: -2338*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 72. Let r = -1 - -1. Suppose r = 2*b - 3 - 21. Calculate the highest common factor of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*l - 10*l - 15*l)*(-3 - 5 + 6)*(71 - 21 + 14)*(4*l - 2*l**2 - 4*l) in the form s*l**3 + x*l**2 + q*l + v and give s.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -151*l. Let x(j) = -9*j + 3. Calculate h(x(v)).\nAnswer: 1359*v - 453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. What is the smallest common multiple of 10 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(88\/55)\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222903*31\nAnswer: 6909993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 29 = 4*a + 3, -2*w - 31 = -5*a. Suppose k + 4 = a*k. Suppose -2 = 3*o - v, 0 = 2*o - 3*v + k + 5. Solve u + 2*l + 6 = o, l + 1 = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -1\/390*t**5 + 1\/156*t**4 + 0*t**3 + 11*t**2 + 0 + 0*t. Solve i(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/10 + 29*m**2\/10 + 137*m\/10 - 33\/2.\nAnswer: -(m - 33)*(m - 1)*(m + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -176 (b) -4 (c) 0.3 (d) -222\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/7 (b) 7 (c) -0.1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -105*z - 2710. Calculate g(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 3. Let v be z(-5). Let p(m) = -m**2 - 8*m + 1. Let c be p(v). Let k = 11 - c. Let s(i) = i**3 - 3*i**2 - 2*i + 2. Calculate s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 20*v**2 - 28*v + 72. What is d(-20)?\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/378 and 47\/14192028.\nAnswer: 298032588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/27, -73.6, -0.9, -8\/3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*b + 3295*a - 3294*a, -a + 2 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -4, 31, 3, 94 in ascending order.\nAnswer: -4, 3, 31, 57, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {b: 1, x: 2, c: 2, f: 1, u: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/182886850?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224103389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**3 + l**2 + 4*l - 5. Let g be o(2). Is g <= -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**4\/24 + q**3\/2 - 28*q**2. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/15, 0.8, 0 in descending order.\nAnswer: 0.8, 0, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90352 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1 + 0 + 2*t - 2. Let i = 15 - 21. Let q(l) = 5*l - 7. Calculate i*q(w) + 14*s(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 5 = 0. Calculate the remainder when k is divided by ((-5)\/20 + 6\/(-8))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/4 - s**3\/6 - 3*s**2. Give x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (78\/(-52))\/(6\/(-44)). Solve 0 = -10*f + m*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*o**4 - 243*o**2 - 959*o - 3605 - 44*o**4 + 948*o wrt o.\nAnswer: 8*o**3 - 486*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 14. Let b(n) = 8 - 42 + 34 - 2*n**2. Give b(j(t)).\nAnswer: -98*t**2 + 392*t - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2829 = -3*u + 5418, 2*l - 5498 = -3*u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 2412?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421 - -421. Let l = -2.5 + 2.7. What is the nearest to q in l, -3, 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.610882 centimeters?\nAnswer: 0.09610882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7605595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*o + 61188*f**3 - 13*f**2*o*z - 8*f**2 + 231517*f*o - f*z + 3*z with respect to o.\nAnswer: 3*f**3 - 13*f**2*z + 231517*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 13*n + 10*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1175 at least as big as -1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -95, -175, -233, -257, -235, -155?\n\"Answer: 2*s**3 - s**2 - 91*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:33 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Let m(g) = 5*g - 3 - 3*g + r*g. Let x(l) = -5*l + 5. Let b(c) = c - 1. Let f(i) = 11*b(i) + 2*x(i). What is 3*f(d) - m(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 450 - 447. Suppose u + 6 = -3*l + 17, 4*u = t*l + 74. Solve 2 - u = 3*c - 3*z, -5*c + 3*z - 19 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a - 36. Let w be x(3). Let n(c) = -2*c**2 - 21*c - 4. Let v(u) = u**2 + 10*u + 2. Let h(d) = 6*n(d) + 13*v(d). What is the tens digit of h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16198158 is divided by 341?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33526057 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 76 = -8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733.433 micrometers in nanometers?\nAnswer: 3733433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444968, -1444954, -1444940, -1444926, -1444912?\nAnswer: -1444898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21677*v**3 - 22010*v**3 + 9230*v**3.\nAnswer: -34457*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 36*r + 4 + 33*r)*(12*r**3 + 9*r**3 + 11*r**3) to the form t*r**4 + c + v*r**3 + h*r + n*r**2 and give t.\nAnswer: 2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360041 less than 359988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*n + 144*n = -29*n + 29046 for n.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6 - ((-760)\/48 - -16). Let m be (5\/(-3) + 2)\/(-1). Let z = -1 + 0. Which is the nearest to m? (a) 2 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6481 = 4*n + 1781. List the prime factors of n.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -22. Calculate the common denominator of (-3)\/(-10) + 12\/(-18)*t and 47\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.69 - 1.5. Let n = b + -0.69. Put -0.02, n, 0.5 in ascending order.\nAnswer: n, -0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 + 18*v**2 + 6*v + 38. Let u be m(-6). Suppose 4*r - 32 = -6*p + 2*p, -5*p = -4*r + 5. Solve -u*y - 26 = 5*w, p*y + 3*w = -11 - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300226 or -300225?\nAnswer: -300226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 263.22, 193, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -24*v - 1759. Calculate r(-62).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 n when three letters picked without replacement from knnkpnhknhnnnh.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.343 times -21?\nAnswer: 112.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15426334*t - 15426334*t + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*s**3 + 3*s**2*t - 3*s*t + 87*s wrt s.\nAnswer: -270*s + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 7*h**2 + 9*h**2 + 4*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/7*(-4)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:00 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) + (-1)\/(-3). Let h = 3 + -6. Let u = 3.1 + h. Is u equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/71988 and 107\/28.\nAnswer: 71988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5963686*n**3*t**2 - 209*n**3*t - 4*n**3 + 2*n**2*t + 260*t wrt t.\nAnswer: -11927372*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 4*z = -36, -5*z = -25. Let v be s*2*4\/8. Let x be (-6)\/v*16\/20. Which is the biggest value? (a) -2 (b) x (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-3*(-6)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 68*c**2 + 1409*c + 10. Calculate t(16).\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 5, -20.\nAnswer: -20, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/17, 3, 3\/5 in increasing order.\nAnswer: -7\/17, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46030508 and 44.\nAnswer: 506335588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1563801*b**2. Let x(r) = 351*r**2. What is x(g(k))?\nAnswer: 858361222227951*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:14 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 142\/((-252)\/45 - -6). What is the second derivative of 7986*g**3 - 15956*g**3 + c*g + 7915*g**3 wrt g?\nAnswer: -330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 16*f**2 - f + 2. List the prime factors of w(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 - 235918*x**4\/5 + 471828*x**3\/5 = 0. What is x?\nAnswer: 0, 2, 117957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17943 is divided by 192?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2928 divided by 12?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*g + 3*k + 10, 4*g - k - 7 = 0. Suppose 0 = x + 4, -6*u + 2*u = g*x - 12. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, 14, 33, -1.45, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 121.7749mm to kilometers.\nAnswer: 0.0001217749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5762 - -1.51. Let i = 0.0183 + -0.6141. Let m = i + h. What is m rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2221*v**2. Let u(x) = 37*x + 2. What is u(i(c))?\nAnswer: 82177*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = i. Suppose -i*m + 66 = -3*x, 7 - 16 = -3*x. Calculate the remainder when 27 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Let y(q) = 14*q**2 + 2*q + 6. Let x(i) = 6*j(i) - y(i). What is the second derivative of x(v) wrt v?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 47\/124410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761663817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -693 + 689. Let s be -1*(2 - v)\/(33\/88). Which is greater: s or -17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdtd when four letters picked without replacement from {t: 6, d: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + 973*w + 72768. Calculate p(387).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/12 - 5*y**3\/9 + 51. What is g in x(g) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/7 >= -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, 3091 in descending order.\nAnswer: 3091, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165873*g**2 - 111512 wrt g.\nAnswer: -331746*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.4. Let u = l + 0.30054. Round u to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4360*b - 506032 + 78752 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c - 48 + 48 + (-2*c - 2 + 2)*(4 - 4 + 2) + 0 + 0 + 2*c - 40*c - 50 + 50 + (-4 - 3 + 5)*(-1 + 2*c + 1) as z*c + f and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-3\/26)\/(j\/(j*j**(-1)))**(12\/5))\/(j**(-6)\/j**(1\/3)*(j**2)**17) assuming j is positive.\nAnswer: j**(-451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 2, -24, 9, 5 in increasing order.\nAnswer: -24, 2, 5, 9, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 536984*x**2 - 15036728*x - 105259840 = 0.\nAnswer: -14, 268520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*t = -23, -3*m + t + 7 + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 0, 271*c - 276*c + 5403 = -h. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650439?\nAnswer: 7, 137, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 529541629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1640747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1566 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/840)\/(36\/(-21))*-1?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let t(x) = 3*x**3 - 5*x**2 - 2*x. Let v = -2 + 1. What is v*t(p) - 6*h(p)?\nAnswer: -3*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 37, 16\/7 in decreasing order.\nAnswer: 37, 16\/7, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 1084*c**2 + 6396*c + 9540.\nAnswer: 4*(c + 3)**2*(c + 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -27*x**2 + 5*x - 5. Let d(t) = t**2 - 2*t. Give -d(j) - y(j).\nAnswer: 26*j**2 - 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let v(n) = -3*n - 1. Calculate the lowest common multiple of r and v(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 2*v**2 + 11*v + 3*v**2 - 11*v**2. Let h(s) = -7*s**2 + 6*s. Calculate -6*g(b) + 11*h(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1972120 to the nearest one thousand.\nAnswer: -1972000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.949 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 8 - ((-32)\/(-4) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 + -495. Suppose 4*v + 5*j - 1125 = 0, -5*v + 1360 = -0*j - 3*j. What is the greatest common divisor of v and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**2 + 0 - 19*b - 1\/12*b**4 + 0*b**3. Let t(z) = -10*z. What is j(t(c))?\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c47 - 58?\nAnswer: -11ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1119*w**2 - 2 - 3*w**3 - 977*w**2 - 3 to the form s*w**3 + b*w + p + a*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -7, -125452 in descending order.\nAnswer: 4, 3, 1, -7, -125452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 381764*w - 12600390.\nAnswer: 2*(w - 190915)*(w + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 + 15*h + 7. Let z be (-11)\/(275\/(-10)) + 662\/(-5). Let s = -141 - z. List the prime factors of l(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375.00402 + 375. Round x to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.09 - 3.29. Which is greater: 90 or c?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1573299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5234484161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 99165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-1518)*418*(-6)\/8\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 1, r: 5, d: 1}. Give prob of picking 1 d and 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 1554*o + 166218. Calculate n(-128).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(-4\/3)*k**(1\/5)\/k**7 assuming k is positive.\nAnswer: k**(-754\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xjjzjpzjjjzpz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:05 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2844 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 46 + 0*s - 145 + 19*s + 191.\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g*m**3*w**3 - 23*g*m**3*w**2 + 4*g*m**2*w**3 + 4*g*m**2 - g*w**3 wrt m?\nAnswer: 24*g*w**3 - 138*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/21 - 15348*d**4\/7 - 1568026*d**3\/21 + 1675452*d**2\/7 - 3412288*d\/21 = 0.\nAnswer: -37, 0, 1, 2, 23056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*l + 26, 5*v + 4*l + 8 = -2. Let q(b) be the second derivative of 1\/8*b**4 - 1\/4*b**3 + b + 0 + 0*b**v. Solve q(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -46, -71, -96, -121?\n\"Answer: -25*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19770338650 minus -102?\nAnswer: -19770338548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 2*h + 20, 0 = p - h - 6. Suppose 0 = 3*v - 6. Solve -p*a - 13 = 5*j, a + v = -j - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6105.417852803 from 2.\nAnswer: -6103.417852803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 25 (c) 1\/3 (d) 2\/7 (e) -2 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481266 is divided by 95?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)\/(-3)*(-26)\/(-39)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 divided by -4045.\nAnswer: -223\/4045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 4760428.\nAnswer: -3\/2380214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13415 - -268371\/20. Calculate the common denominator of q and 91\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1142992361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*sqrt(931)*2*-3.\nAnswer: 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, 54, 44, 4 in ascending order.\nAnswer: 0, 1, 2, 4, 44, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -490830000 rounded to the nearest 1000000?\nAnswer: -491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3 - 735*y**2 + 282630*y + 283360 = 0. What is y?\nAnswer: -322, -1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, f: 2, j: 1, t: 5, y: 1, h: 6}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 1232?\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.2 - 17. Let f be 2\/(-3) - (1 - (-24)\/(-9)). Which is the biggest value? (a) f (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/10 - 10*k**2 + 424*k\/5 - 864\/5 = 0.\nAnswer: -108, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224 = -154*v - 8 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o - 173 = -433. Let z(i) = -3*i + 8. Let a(q) = -2*q + 5. Determine o*z(p) + 7*a(p).\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/5 (b) 90 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/40 + g**5\/20 - g**4\/2 + 11*g**3\/2 + 3*g**2. Is r(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -34099660 and 143.1.\nAnswer: -34099516.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2715920408 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 58. Let x be -2 - (0 + -3 + 1). Let i be x + 2 - (-3)\/(-2). What is the second biggest value in p, i, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60894882 to the nearest integer?\nAnswer: 7804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -13. Let j(t) = -t**2 - 38*t - 161. Let s be j(-5). Let y = s + o. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.38384 times -0.1\nAnswer: 0.338384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:15 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 4. Let d be l(4). Suppose d = s - 5, m - 2*m = 3*s - 15. Suppose 2*n + 4*r + 16 = 0, -5*n - 4*r + 3 - 19 = m. Solve 3*p + 2*p - 25 = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8246 times 3\nAnswer: -24738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h + h)*(-2*h**2 + 4*h**2 - h**2) - 2 - 2*h**4 + 2 + 2056*h**4 + 21*h**3 - 53*h**3 + 12*h**3 - 34280*h**4 + 20*h**3.\nAnswer: -32227*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 120, 68, -34, -204, -460, -820?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13853431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + (-13 - -26) + (7 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 48*v - 80.\nAnswer: -4*(v + 2)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-13)*8\/(-18))\/(1415\/8490).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 3*u - 3. Let g(d) = d - 7. Let c be g(9). Let a be s(c). Suppose -x + a + 1 = 2*q, x + 3*q = 25. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 1305.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u + 2*u - 3*u - 2*u + 5*u - 4*u + (0 - 4 + 2)*(3*u - u - 4*u) + (0*u + 0*u + 7*u)*(0 - 4 + 2) to b*u + i and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b9 (base 13) to base 7\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2513\/(-2154))\/(12\/18).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861 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: What are the prime factors of 142940188?\nAnswer: 2, 29, 1232243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 13.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzdydpxdpdxn. What is prob of sequence xnzp?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5421\/695*10\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 31. What is the highest common factor of n and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and 143\/70212774.\nAnswer: 351063870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/6 - 5*s**4\/6 - s**3\/3 + 4*s**2\/3 = 0. What is s?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23038, -39788, -56538, -73288, -90038, -106788?\n\"Answer: -16750*l - 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 12*m + 597. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*s + 10217 = 1353 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1101050 and 950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1452)\/(-48) + 1\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o + 5. Let p be t(0). Suppose -3*w = -p*w + 4. Solve 0 = -2*m - w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = d - 12, -5*a + 32 = 5*d + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562446783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -7 + 12\/(-4) + 280. Solve s*u = 277*u - 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759485.2 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.164 litres in millilitres?\nAnswer: 190164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 + 1)*(0 - 3 + 0) + 0 - 3 + 7)*(u + u + 0*u) as t*u + a and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 5 = 46*u, -20 = -3*n - 2*u. Put 7, n, -26 in increasing order.\nAnswer: -26, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4*sqrt(130)*2)\/(sqrt(110)\/(sqrt(11) + sqrt(44))) + (-1 + sqrt(832) + 1)*-1)**2.\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31160)\/(-7600)*150\/(-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -6*p - 2. Let s(y) = -y**3 + 10*y**2 + 13*y - 14. Let l be s(p). Solve -l + 20 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 2)*(0*t + t + 0*t) + 0 + 0 + t)*(13*t + 6 - 6).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 42*h**3 - 47*h - 16*h**3 - 28*h**3.\nAnswer: -81*h**3 - 47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 10*z**2 + 8*z - 5. Let b be h(4). Let x be 48 - 49 - (-1 + 1 + b). Let 1\/5*n + 3\/5*n**x - 3\/5*n**2 - 1\/5*n**3 + 0 = 0. What is n?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4835*c - 5024*c = -3780 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/9 - 2 - 2325\/(-1116). Factor f*g**2 + 0 - 1\/2*g.\nAnswer: g*(7*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from vsvvsvkvvvvk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8*m - 1. Let c be l(7). Is 13 a factor of (63\/6)\/(3\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/215 in -1\/4, 5, -32, 0.038, -6, 2\/3?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*n + 28 = 0, 2*z - 5*n + 7 + 1 = 0. What is the remainder when ((-292)\/10)\/(-16 + 390\/25) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 12*g**3 - 164*g**2 - 648*g + 800 = 0.\nAnswer: -4, 1, 50\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 3*1 + 14\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064758916 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2 - (0 - 0)). Suppose h = 2*b + 2*a + 5 + 1, -13 = b + 3*a. Let r be (-6 + 1)*b\/(-2). What is the greatest common factor of r and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*1\/(-33) - 128\/(-22). Solve 5 = h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060272412 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42883 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -104513975?\nAnswer: -104513962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 - 1136*z**2 + 322624*z = 0.\nAnswer: 0, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530237294 + -3963.\nAnswer: 530233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/((-32)\/(-4)) - 2. Solve -1 = t*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3938 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1730 - 1134 + 367 = 227*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c**(1\/2)\/c)\/c*c*c)\/c)**(3\/2))**(-2\/5) assuming c is positive.\nAnswer: c**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2049, -1591, -1135, -681, -229?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23*s + 16. Let x be 10 + -4 + 6\/4*2. Suppose 3*t + 4*j + x = -1, 2*t - 16 = 3*j. Let q be k(t). Is q >= -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 1 + 3 + 4*d**3 - 3 - 25*d**2 - 5*d**3 - 3*d**2 as n*d**2 + l*d + g + t*d**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 4. Determine b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*5*sqrt(209)*-2)\/((2*3*sqrt(132) + sqrt(132))\/sqrt(12)))**2.\nAnswer: 30400\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1080 and 8914800?\nAnswer: 80233200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.748817s to hours.\nAnswer: 0.0104857825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-4\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 55 = s - 103, 0 = -5*z - 25. Let x = -167137\/18 + 9289. What is the common denominator of x and s\/(-24) - 1\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835593.948us in weeks?\nAnswer: 0.00000138160375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k + 277 - 1327. Let h = k - 67. Calculate the remainder when 81 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o - 20*o. Let o + 0*l - 2\/9*l**3 - 2\/3*l**2 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.4 + 347.4. Let z = -327.0000143 + x. Round z to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -28 in increasing order.\nAnswer: -28, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o + 52*o**2 - 53*o**2 - 15*o**3 + 2 + 3*o. Let x be r(-2). Suppose -h + 32 = h. Calculate the greatest common factor of x and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 - 13 = 0. Let f be (-12)\/c*276\/16. Let w = 10 + f. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 121*z**7\/210 + 29*z**3\/6 + 25*z**2. Differentiate n(f) wrt f.\nAnswer: 484*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o + 0*o**2 - o**3 - 2*o**2 - 7 + 6*o**2 + 38*o + 6 as c*o**2 + r*o**3 + x*o + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - f + 2*f - 4*f + 3*f - 6*f + 4*f + f + (0 - 1 - 1)*(-f - 2*f + 2*f))*(2 - 2*f - 2)*(38*f**2 - 3*f**2 + f**2)*(1 + 2 - 1)*(0*f - 3*f + 4*f).\nAnswer: -432*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*(-5)\/(10\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 5, -50, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(((-4)\/(-8))\/1). Let u be g\/2*(-16)\/(-4). Put 0, u, -4, 4 in decreasing order.\nAnswer: 4, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 1800.\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.3, -0.1, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 12776113\/163 and 78382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*s**2 - 136*s**6 - 155*s**2 + 34*s**6 - 96*s**6 + 16*s**6 wrt s?\nAnswer: -21840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n + 162 = -21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11673, 46492, 104023, 183858, 285589?\nAnswer: 408808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3764 + 3760. What is the third biggest value in 17.2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*l + 60 = 162*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, v: 1, p: 4, u: 5, a: 4}. Give prob of picking 1 u, 2 p, and 1 v.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*r + 3, 0 = -2*j - 2*j - 4. Let y be (-594)\/(-143) - (4\/(-26))\/r. Solve 3*b - 10 = l, 3*l - y = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 27*f**4 - 264204*f**3 + 646242978*f**2 + 430916724*f + 71824347 = 0?\nAnswer: -1\/3, 4893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 573\nAnswer: 286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*a - 17 = -5*l + 303*a, -3*l = 4*a - 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 2272\/112 - 2\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2128 + 2169. What is the smallest common multiple of 305 and j?\nAnswer: 12505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:56 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12613260 and 5742.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -11*o - 18. Suppose g = 3*y - 19, 2*g - o*g - 34 = -5*y. Solve -3*j + 0 = -y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066702 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -75250\/2837?\nAnswer: -75250\/2837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -111657a?\nAnswer: 1116574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 + 4940538.\nAnswer: 4940536.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-72) - (-17)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-167)\/175 - -2. Let w = 6\/25 - g. What is the second biggest value in 0.3, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*m + 1631*m = 840*m + 11845 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/(2\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 5*a**2 + 12*a**2 + 3*a - 18*a**2. Let o(z) = -4*z**2 - 2*z. Suppose b + 4 = 3*b. Determine b*u(q) - o(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*f. Suppose -21 = -3*t + f*q + 3, 0 = 4*t - 5*q - 25. Suppose 5*d = t + 5. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 397, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 7*g - 7*g)*(0 - 3 + 2*g + 5) - 1 + 1 - 3*g**4 + (0 + 0 + 2*g)*(0*g**2 - 2*g**3 + 0*g**2) + 2*g**4 - g**4 + g**4.\nAnswer: -7*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-120 - -114)*378\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413539977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 13*b**2 - 17*b - 12. What is i(12)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 23751339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128\/7 or -18?\nAnswer: -128\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 19*g**2 - 22*g + 13. What is the tens digit of l(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98379a (base 11) to base 9.\nAnswer: 2854661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1074571 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 7, 6, -4.\nAnswer: -12, -4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2099 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(32*(-46)\/8832)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176008 and 298704?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*q + 123*q + 442*q - 244*q.\nAnswer: 951*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 5139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/171 and -15\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2424.5 + -2424. Let l = 1 - 0.8. Let q = l + v. Which is the third biggest value? (a) 3\/7 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9476586.\nAnswer: 2, 3, 7, 75211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 + 140*r**2 + 67*r**2 - 7*r**2.\nAnswer: 181*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2901*q + 55078. Give h(19).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2)**2 - ((sqrt(11) - (sqrt(11) - (4*sqrt(11)*1)**2)) + sqrt(11)).\nAnswer: -73 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32385781.\nAnswer: 32385781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -v + h + 8, 5*h - 6 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 8. Let h be t(-2). Let r be h + 0\/1 - -19. Suppose -17*g + r*g = -43200. Round g to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**4 + 39*b**3 + 69*b**2 + 53*b + 15.\nAnswer: (b + 1)**3*(8*b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x - 441. Let p = 27 + -9. What is the remainder when g(41) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -12551.902081.\nAnswer: 12552.102081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*j - 8*j + 4, 2*y + 4 = 4*j. Suppose -49 = y*a + 33. Let k = a - -154. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + b + 4, 3*b - 4 = -16. Suppose w = 4*y + 3*z - 3, 3*z = -3*y - 0*y + 3. Solve 5*j = 2*a + 17, -4*j + 7*j - 2*a - 7 = y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 < 2473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 23*c + 41. Let w(m) = m - 1. Let z(s) = b(s) - 4*w(s). What is the tens digit of z(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161 + 25581?\nAnswer: 25752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*(sqrt(24)\/sqrt(2))\/sqrt(6))**2 - -2*sqrt(288)*4).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55178400 by 1379460.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.065 + -0.194. Let j = y - -3.159. Which is the second biggest value? (a) j (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 465 - 461. Let n be (-64)\/(-10) - (-2)\/(-5). Suppose 2*u - n = 4. Which is the smallest value? (a) u (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 555. What are the prime factors of j?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - d + 12 + d. What is the units digit of z(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 1. Let h(a) = 1. Calculate -d(j) - 5*h(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2087442 and 57.\nAnswer: 39661398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 620570973 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 487, 1, -42 in decreasing order.\nAnswer: 487, 1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023193 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddbeedhhbeeddxe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = r + 4, 3*r = 8*r + v + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -35*a**2. Let p(l) be the second derivative of -68*l**3\/3 + 84*l + 28. Determine p(b(w)).\nAnswer: 4760*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 2*z - 3. Let d(m) = 136*m**4 + 5*m**3 + 17*m**2 + 1592*m - 15. Let w(t) = d(t) - 5*g(t). Find the second derivative of w(l) wrt l.\nAnswer: 1632*l**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-30))\/(4\/((-36)\/(-5)))*2\/13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70*a + 70*a - 13*a**2)*(41 + 4*a - 41) + 0*a**2 - 3*a**3 + 0*a**2 in the form i*a**2 + p*a + z + s*a**3 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1498402 and 145\/6.\nAnswer: 4495206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 67. What is d(32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 604, 1, -2 in decreasing order.\nAnswer: 604, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49288453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 3*b - 4. Let p be r(-4). Let i = -85 - p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 5*r + 3. Give b(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6*c + 5*c = 22, -h = -c - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3*(-12)\/(-9) + 6). Suppose v = -5*q - 7*q + 732. Suppose -q = -5*z - 21. Calculate the remainder when 29 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69166911 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 - 2091 = -60*z. What is the greatest common factor of z and 1188?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -147?\nAnswer: -147.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from {g: 5, a: 3, w: 2, b: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x - 108*x + 4*c + 294984 = 0, -4*x = 5*c - 295029. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 16 = -4*x. Let k(d) = 11*d**3 - 159*d + 2 - 168*d - 3*d**2 + 328*d. Let f(s) = 2*s**3 + 1. Let a(v) = -6*f(v) + k(v). Calculate a(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3130 - -1313?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b45 + -4?\nAnswer: 1b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let w(p) be the second derivative of 3*p**3\/2 + 24*p. Determine q(w(f)).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/3066 and -44\/10731.\nAnswer: 21462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 430186*t\/5 + 860368\/5.\nAnswer: (t + 2)*(t + 430184)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b**2 + 841*b - 20259. What is g(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/39 and -107\/60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8370 + -8422 - (-2 - -2 - -5 - (-1 + 3)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 705, 3504, 10643, 24294, 46629?\n\"Answer: 362*g**3 - 2*g**2 + 271*g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + o - 17, -622*o + 605*o + 71 = 2*p - 23 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*m*n**2 + m*n - 254301877*m - 5866*n with respect to n.\nAnswer: -498*m*n + m - 5866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1 + 98*a**2 - 5 + 2 + 3. Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1872) + -3*sqrt(1872) - sqrt(1872)) + sqrt(1872)))\/(sqrt(576)*-1*3) + 4.\nAnswer: -4*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 3*v**2 + 2*v**3 + 0*v**3 - v**3 to the form i*v**2 + y + m*v + g*v**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -326, -346, -386, -452, -550, -686?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -64, -133, -228, -349, -496, -669?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrrvuvvvvrvukurk. What is prob of sequence ku?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*w + 10 + 7, -2*d + 3*w = -11. Let h = 7 + d. What is s in 4*s**4 + 4*s**3 + 2 + h*s**4 - 10*s**2 - 4*s**4 + s - 5*s**5 = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958118 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 0.2 (b) 4 (c) 2\/17 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:24 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 + 2*u - 75. Let c be p(9). Solve 2*i - 6 = 4*f - c, -4*f = 3*i + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Which is smaller: 118\/9 or 14?\nAnswer: 118\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69228 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108339 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.04378511 rounded to 2 dps?\nAnswer: 27.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101001110001100 (base 2) to base 3.\nAnswer: -100102002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 2, d: 4, i: 2}. What is prob of sequence rci?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*40955\/(-15) - (3 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233179.\nAnswer: 251, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-3\/5)\/q))**(-1\/17)*q**(15\/7)*q*q**(6\/11) assuming q is positive.\nAnswer: q**(23524\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 1. Suppose 3*c + 2*i + 3 = 0, 4*i + 4 = 2*c - 6*c. Calculate q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3569 by 1.\nAnswer: -3569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + (sqrt(1800) - sqrt(2))) + -2.\nAnswer: -120*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Suppose 0*j - 5*i = -j - 12, 5*j = 2*i + 9. Let f(b) = 4 - b + j - 3 - 1. Calculate -f(d) - 4*m(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from dddffffdfgdgf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 9*g + 8*g**3 - 10*g**3 + 5 - 8*g**2. Let b be a(-7). Solve -28 = -4*f + 4*h, 0 = -f + 2*h + 2*h + b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6648 + -6588. Solve 6*z - t = -9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 837*a**2 - 4*a + 16. Let u(c) = -10880*c**2 + 51*c - 204. What is -51*h(l) - 4*u(l)?\nAnswer: 833*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1803, -1823, -1855, -1905, -1979, -2083?\n\"Answer: -f**3 - 13*f - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 4\/3 (b) -3 (c) 0 (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6437, 13624, 21605, 30392, 39997?\nAnswer: 50432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-735)\/840)\/((-294)\/616).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721674.5g to nanograms.\nAnswer: 721674500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.7? (a) 1 (b) 5 (c) -52\/5 (d) -11 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (23 - (23 - -12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-1*sqrt(343))**2 - (2*(sqrt(343) + 3)**2 + 3).\nAnswer: -84*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516 = 87*w + 267 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1364, 1375, 1398, 1439, 1504?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75))**2 + sqrt(75) + -2 + 3.\nAnswer: -15*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -32. Let m(l) = 7*l**2 - 15*l + 13. Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1946*k**3 - 6*k**2 + 5*k**2 + 4*k**4 - 2*k + 10 - 8 - 1948*k**3 + 0*k**2 as x + m*k**4 + a*k**3 + w*k**2 + q*k and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 2 + g - 4*g - 2 - 5. Let s(d) = -4*d**2 - 2*d - 10. Let l(a) = -3*j(a) + 2*s(a). Give l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-1014))\/1*(-1)\/((-2)\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100110113 (base 4) to base 13\nAnswer: 24566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.8776 and -7187.\nAnswer: -7190.8776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1434434?\nAnswer: -1434442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -1\/6*i**3 + 37*i**2 - 233*i + 0 + 0*i**4 + 79\/30*i**6 + 0*i**5. What is the second derivative of s(t) wrt t?\nAnswer: 948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 0*g**2 - g**2)*(6 - 3 - 2 + 0 - 2 + 4 + (-5 + 5 - 2)*(4 - 5 + 3) + 1 - 1 - 1).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*p + 134, 0*y + y + 27 = -4*p. Let t = y - -31. Let d = 2 - t. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 - 51*m**4 + 17781*m**3 + 598707*m**2 + 4049622*m - 18012456 = 0.\nAnswer: -66, -19, 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 1595 = -1811 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864433.\nAnswer: 17, 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*s**2 + 30*s**2 - 57*s**2 + 9 - 4 to d + o*s**2 + i*s and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/2 - 4*w**2 - 22*w. Let p(d) = -38*d**2. Give j(p(v)).\nAnswer: 456*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -52*t**2 + 1662*t + 78. What is v(32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 496, 0.02, 0.3, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3.7. Let u = 0.85 + -0.35. Let j = 247\/2 + -121. What is the biggest value in c, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 1.35. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 5*s - 18. Let a = -48 + s. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 27.478.\nAnswer: 26.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -319*v + 17057. Determine u(52).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15687 and 6867?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 2*l**3 + 0*l**3 + (-2*l + 0*l + 0*l)*(0*l + 0*l + 2*l**2) + l**2 - l**3 - l**2 + (8*l**3 + 7 - 7)*(-2 + 1 + 3).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 5*t + 6. Let s(j) = -4*j**2 - 1. Suppose -2*q + 3*k - 7 = 0, -3*q - 3*k = -4*k. Let h be s(q). What is the units digit of a(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/156 - (-235)\/6110.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/9)\/m*m*m\/m**13*m**(1\/4)*m*m*m**(-17\/2)\/m assuming m is positive.\nAnswer: m**(-661\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -9*w**8\/112 + 39*w**7\/14 - 155*w**6\/8 + 213*w**5\/4 - 60*w**4 + 34*w**3 - 111*w**2. Determine z, given that r(z) = 0.\nAnswer: 1\/3, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14 + (-4)\/((-3)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22264448 and 128.\nAnswer: 22264448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a*((a\/(a*((a*a\/a**12)\/a)\/a*a*a)*a)\/a*a)\/a*a*a*(a**(-6))**4)**(-3\/25) assuming a is positive.\nAnswer: a**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -12. Let z be 40\/6*(5 - 2). Suppose -z = v - 25. Calculate the remainder when v is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 105 = 93. Solve c*r + 24 = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 3*(sqrt(208) - (sqrt(208) + (1*sqrt(208) - sqrt(208)))))**2*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**3 + 3*c**2 - 4. Suppose 3*o - o = 8. Let k(x) = 17*x**3 + 8*x**2 - 11. Calculate o*k(s) - 11*g(s).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i + 54. Let q(u) = u**2 - 4*u - 10. Let k be q(5). Let f be s(k). Suppose f = j - 2*x - 0, 0 = 2*j - x - 45. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-86))\/((30\/5)\/2). Let c be (1039\/2)\/(-301 - 0). Let v = c + w. Is v at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 232, 468, 780, 1168, 1632, 2172?\n\"Answer: 38*s**2 + 122*s + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrbu. What is prob of picking 1 u and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.590593 decades to centuries.\nAnswer: 0.7590593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-11) + 138\/33. Let v(y) = -y + 3. Let r be v(0). Suppose -i + r = o, 0 = 4*o + 4*i + i - 13. Solve 3*b = 4*b + 2*s + a, 12 = 3*b - o*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.05, -27, 21, 2 in decreasing order.\nAnswer: 21, 2, 0.3, -0.05, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchichhvnchhnhhhn. Give prob of picking 1 c, 1 h, and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**4\/4 + 6*i - 1. Suppose -k = -6*k + 25. Let c be 4\/10 - (-96)\/(-15). Let f(g) = -4*g**3 + 5. Give c*f(v) + k*w(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 27, 17, -11, -63, -145?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18 and 43\/4206772.\nAnswer: 37860948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20011 (base 3) in base 15?\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-1)\/(-2) + 194941\/302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + v)*(112 - 112 + 34*v + 2*v - 2*v - v + (3*v + v - 5*v)*(-3 + 5 - 1) - v - 4*v + 3*v - 4*v - v + 3*v) to z*v**2 + b + l*v and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, 1 p, and 1 t when four letters picked without replacement from vfvivpvviviptpovvv.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 147, 222, 299, 378, 459?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9394506981802267 + -9394513413488035.99999288. Let c = 6431685554 + b. Let m = 215 + c. What is m rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**4 + 132*y**3 + 2*y**2 - 214 wrt y?\nAnswer: 144*y + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7579*p**2 - 18 - 7579*p**2 + p**3.\nAnswer: p**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 116*v**3 - 3*v**2 + 2*v. Let p be y(1). Let x = 167 - p. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 12. Let h be n(14). What is the remainder when 106 is divided by 5\/h*(-12)\/(-10) + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164399 - 9484 = -49*g - 9916*g - 24408 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 3 (c) -0.4 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Let n(i) = 5 - 23*i - i**3 + 3 - 18 + 24*i**2 - 13. Is n(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73326*g**2 - 24 + 9 - 73329*g**2 + 7 - 4*g**3 + 8.\nAnswer: -4*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l**4 + 2*l**4 - 3*l**4)*(-4 + 1 + 2) - 2*l**3 + 2*l**3 - 2*l**4 + (38*l**3 - 1540*l**2 + 1540*l**2)*(-l + 2*l + l))*(-l - 2 + 2).\nAnswer: -76*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4414 (base 6) to base 14\nAnswer: -52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10 - 4)*(-4*z**2 + 3*z**2 + 3*z**2)*(11*z**2 + 9*z + 4*z**2 - 12*z**2) to p + g*z**4 + k*z**3 + m*z**2 + v*z and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*w - 30 = 0, -p - w - 3*w = 14. Solve 4*z + 10 = p*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/17, 0.5, 0.52, -2 in decreasing order.\nAnswer: 10\/17, 0.52, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:56 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3510)\/150 + 3\/(-5). Let w(x) = x**3 + 25*x**2 + 27*x + 91. Calculate the remainder when w(m) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 404302?\nAnswer: 404253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 550\/150 - 2\/3. List the prime factors of 424 + (p - (-4 + 1)).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let f be (27\/(-6) - 0)*10\/(-15). Let w(c) be the second derivative of 0*c**2 + 0 + 3*c + 1\/6*c**f. What is g(b) - 3*w(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 696*h. Let x(m) = -m. What is a(w) - 87*x(w)?\nAnswer: 783*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*f**2 - 655*f**2 + 229*f**2 + 11 + 219*f**2 to x*f**2 + a*f + i and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*s = 5, 2*s = r + 7*s + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4499 by 24674.\nAnswer: -4499\/24674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 297 - -455?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 35 = -4*m, -5*m + 25 = 0. Let z(g) = -2*g**2 - 2*g + 6. Let q be z(x). Let t = q - -72. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10296584 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5033862 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 13*b - 14. Let h be o(-5). Is 26 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {h: 2, x: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - 5 - 10*u - u)*(4*u - 4*u + 9*u).\nAnswer: 18*u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2\/9, 1101.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -4. Let k = 9 + c. Solve 4*a - k*l + 37 = 2*l, -a - l = -2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -w, 5*q + w - 20 = 3. Suppose -2*y - q*o = -0*o - 50, 23 = y + o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 + -399. Let k = -175976 + 176236. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -34. Let m = 28 - h. Suppose 0 = -4*j - 5*w + 396, 3*j + 5*w = 141 + 156. What is the highest common factor of j and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-20)\/(480\/(-228))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984191.7 centimeters in millimeters?\nAnswer: 9841917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 5*v**5 - 1 - 2*v**5 + (-3 + 3 - 3)*(0*v**5 + 3*v**5 + 0*v**5).\nAnswer: -14*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(11) + 0 + sqrt(704) + sqrt(704) + 2*sqrt(1584) - sqrt(44)\/((sqrt(44)*-3)\/sqrt(11))) + 2)**2.\nAnswer: -676688\/9 - 1984*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 32814 + 32858 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52721421229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 5*h**2\/2 + 2*h + 1. Let x(i) = 14*i + 6. Let m be 34\/(0 - 2)*-1. Calculate m*b(q) - 6*x(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 417, 921, 1521, 2217, 3009, 3897?\n\"Answer: 48*w**2 + 360*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/50)\/((-4)\/6). Let d = -0.7 + -0.3. What is the third biggest value in n, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyllyylyll. What is prob of sequence llyl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.6599057 times 0.4\nAnswer: 0.66396228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/343 and -97\/294.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26c - 1059a?\nAnswer: -10839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at most 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a factor of 43074603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4842598.\nAnswer: 2, 47, 51517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -72, -93, -114, -135?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -384.3?\nAnswer: -6533.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, 14 in descending order.\nAnswer: 14, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 13*x**2 + 8869*x + 115321. Calculate v(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -17. Let i be (-1 - (3 + -9)) + -3. Suppose -i*g - n = -5*g. What is the highest common factor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 44*o**2 - 24*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5595, -5595, -5605, -5631, -5679, -5755, -5865, -6015?\n\"Answer: -g**3 + g**2 + 4*g - 5599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - z - 39. What is a(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, o: 3}. What is prob of picking 2 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 772\/4632*((-64)\/(-5))\/(22\/(-110))\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h - 5*s, -3*h - 7*s = -4*s - 18. Suppose x + 4*x + 3 = -4*r, -15 = -h*r + 2*x. Suppose -r*l = -8*l + 15. Solve v = -l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -173.\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.3 - -8.9. What is the third biggest value in 0, -0.07, v, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1080627.\nAnswer: -1080631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 79, 24, -85, -266, -537, -916, -1421?\nAnswer: -2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630413006?\nAnswer: 2, 17, 18541559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 52*c - 51*c + 102*c.\nAnswer: 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 - 68. Find the common denominator of 2 + (-3)\/(o\/28) and -121\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1. Suppose 2*o + 351 = -5*j, 4*j - 2*j + 144 = -2*o. Let r be 0 + 3 - j\/(-21). Which is the second smallest value? (a) r (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.022849 + 0.004132. What is l rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15318*g*v**3 - 2*v**3 - 786 wrt g?\nAnswer: 15318*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3. Let k be w(2). Is 157\/(-4)*4\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.97206 + -52686.\nAnswer: -52686.97206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-8)*(b*((b**14\/b)\/b*b)\/b*b)\/b)**(-29)*((b*b**2)\/b)**38*b*b**(-3\/2)*b**9 assuming b is positive.\nAnswer: b**(-1107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 + 1. Let f(v) = 3*v**2 + 7*v. Let z(m) = -2*m**2 - 4*m. Let l(y) = 4*f(y) + 7*z(y). Calculate o(l(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, g: 3, m: 2, w: 1, d: 3, t: 2}. What is prob of sequence ttg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y - 14. Calculate the remainder when 39 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*(-60)\/9. Suppose 5*k - 23 = 4*x + 10, 4*k = -5*x + y. Which is the third biggest value? (a) x (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42257 - 13061. List the prime factors of g.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*o*r**3*s - 19*o*r**2 + 4*o*r*s**2 + r**3*s**2 + 2*r**3 wrt s?\nAnswer: -6*o*r**3 + 8*o*r*s + 2*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -243. Let d(k) = -19 - 4*k - 19 - 9 + 1. Let c be d(-20). Calculate the greatest common divisor of t and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2. Let l(d) = -7*d**2 + 406*d - 20. Let r(x) = 3*x**2 - 202*x + 8. Let g(p) = 2*l(p) + 5*r(p). Calculate g(h(z)).\nAnswer: 36*z**4 + 1188*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 9*l**2 - 8*l + 3. Let u be q(8). Suppose u*i + 2*m - 33 = 0, 0*m - 3*m = -2*i + 22. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**38*(x\/((x\/x**(-1\/4))\/x*x)*x)**(-2\/105) assuming x is positive.\nAnswer: x**(-2663\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*w + 1, -2*d - 15 = 8*w - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l**4 - l**3 + 17 - 2*l - 19 + 30*l**4 in the form r*l**2 + j*l**4 + b + u*l + z*l**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = q, 5*q + 0*w + 67 = -2*w. Put -5, -4, q in descending order.\nAnswer: -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 29 + 62 = 0. Let p(t) = -1 - 3*t**2 + 2*t**2 + 8 + 9*t. Let y be p(7). Calculate the greatest common divisor of y and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 264*o**2 - 100*o**2 - 164*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 at most as big as -1943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*o**3\/3 - 3286*o**2\/9 + 20692*o\/9 + 10192\/3 = 0. Calculate o.\nAnswer: -84, -26\/21, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let o(l) be the second derivative of -l**3\/6 + l**2\/2 - l + 8. Calculate o(i) + 2*z(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1448.024445s?\nAnswer: 0.0023942203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 28\/9, -4, 0.2, -5, 2, -6.\nAnswer: -6, -5, -4, -0.2, 0.2, 2, 28\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 2008162.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5893, 5861, 5807, 5731, 5633, 5513?\n\"Answer: -11*p**2 + p + 5903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let h be 154\/35 + (-4)\/10. Let r = h + z. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 1, -3 in decreasing order.\nAnswer: 10, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1586047, -1585980, -1585861, -1585684, -1585443?\n\"Answer: d**3 + 20*d**2 - 1586068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 522.421 and -1.3?\nAnswer: 523.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = -5*t, t + 3*w = -3*t - 37. Let z(p) = p**3 + 16*p**2 + 7*p + 5. Is z(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/22)\/(g**(2\/21)\/g*g)*g**(-2\/11)*g**(-7) assuming g is positive.\nAnswer: g**(-3383\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-3244)\/(-55959)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 65. Suppose 4*f - 855 = -t, -3*f - t = l*t - 637. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 79212*f**2 + 237688*f - 316896 = 0. What is f?\nAnswer: -4, 1, 19806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111856 is divided by 1776.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -102*d**2. Let v(q) = -q**2. Determine x(v(k)).\nAnswer: -102*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 455, 447, 437?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 168\/183833?\nAnswer: 168\/183833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-491)\/5)\/(-8 + 44\/5). Let v = x + 123. Sort 2, 1, v, 0.5.\nAnswer: v, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 92. Let z be (-368)\/(-26) - (-12)\/(-78). Solve z*q + t = 10*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -247, -237, -225, -211, -195?\n\"Answer: d**2 + 7*d - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -11*m + 48. Let v(w) = -2*w**2 + 7*w + 23. Let y be v(m). Is (y\/7)\/((-2)\/(-5690)*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**9\/105840 - n**8\/15680 - n**7\/8820 - 2*n**4\/3 - 25*n. Let z(s) be the third derivative of l(s). Factor z(w).\nAnswer: -w**2*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + v**3 + 18110*v - 18142*v in the form q + m*v**2 + z*v + y*v**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*h - 262*h - 582 + 99*h**2 + 582.\nAnswer: 99*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 1723 = 5*d. What is the remainder when d is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q + 6*q**2 + q**2 + 0*q. Let j(y) = -2*y. Calculate j(p(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 7369865.\nAnswer: 1\/7369865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*v + 3*i*z**2 + 198*i*z - 3*v*z**2 - 8*v*z + 2*v wrt i.\nAnswer: -2*v + 3*z**2 + 198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 s, and 1 q when four letters picked without replacement from ooorhrvrhsq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48207*(13 + (-874)\/69). Is t greater than 16069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 - 1663 = 109*r - 161*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858 is divided by 2851.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.3402 decades in years?\nAnswer: 7943.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(176) + (sqrt(176) - (1 + sqrt(176))) + sqrt(176) - sqrt(176) - -2*sqrt(176)*-5)*5)**2 + 1)*-6.\nAnswer: -2140806 - 43200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/240 - j**4\/96 + j**3\/4 + 3*j**2 + 26*j. Let i(u) be the first derivative of y(u). Factor i(r).\nAnswer: -(r - 2)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.35 + -4.35. Put 0.5, -6\/5, p, -5 in descending order.\nAnswer: p, 0.5, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13501 and 24506663?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - k**3 + 0*k + (2 - 2 - 2*k)*(-24*k**2 - 9*k**2 + 9*k**2) - 79*k**3 + 233*k**2 - 233*k**2.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - -2) + 13\/(-10)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*i**2*n**2 + 11*h*i**2*n + 2*h*n**2 - 4*i**2 + i + 2*n**2 + n wrt i.\nAnswer: 2*h*n**2 + 22*h*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 324 + 689 = -4*t, 2*w - 4*t = 754. What is the remainder when w is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 - 35*u**2 + u + 10*u**2 + 9.\nAnswer: -41*u**2 + u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 - i + 57. What is the remainder when s(0) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c1e (base 16) to base 13.\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1}. Give prob of picking 1 j and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-3) - (-1)\/(-1). Let w be (-4)\/6*-6*1. Suppose l = f - w*d, 3*f - f + 5*d - 104 = 0. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**7\/14 + 7*f**4\/2 + 151*f**3\/3 - 108*f. What is the second derivative of g(u) wrt u?\nAnswer: 60*u**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 9, d: 5}. Give prob of sequence ddl.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37515177 divided by 133?\nAnswer: -282069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n + 8 = 0. Let v be ((-256)\/(-42) - 6)\/(1\/3). Let g = 0.0592 + 0.2408. Which is the closest to n? (a) v (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 387\/2 + -7681\/40. Calculate the common denominator of x and 22\/352*4 + 38\/48.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(2\/7))\/s))\/((s*s*(s\/(s**(1\/5)*s))\/s*s)\/s))\/(s**(-2\/3)*s*s*s\/(((s\/s**(2\/27)*s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-871\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.42815 tonnes to nanograms.\nAnswer: 55428150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/24)\/((-9)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooojooojo. What is prob of picking 1 j and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106073 days in hours?\nAnswer: 0.2545752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 43 = 4*n, 5*w - 4*w - 3*n = 29. Suppose 4*b + w = -1. Does 9 divide ((-216)\/(-28))\/(b\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 48 = -478 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 16*s**2 + 10*s + 177. Let d be j(-7). Solve 0 = d*q + 51 - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-4))\/((-1)\/8). Let i = 2 - 3. Sort x, i, 5 in descending order.\nAnswer: 5, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2652*c**2 + 5310*c**2 - 2658*c**2 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22320359 rounded to the nearest 1000?\nAnswer: 22320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346103 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72571\/8 - 9083. What is the common denominator of w and (-6)\/(-117)*54\/(-48)*2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5076 - -5081. Solve -5*z = i*d - 5, -z + 28*d = 23*d + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**4 + 9*c**3 - 19*c**2 + 9*c - 1. Let z(w) = -8*w**4 - 17*w**3 + 36*w**2 - 19*w + 3. Let j(k) = 10*b(k) + 6*z(k). Suppose j(q) = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 40*u + 4, b = 2*u + 51. Solve -14*o - b = 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 2*x + 6*o - 2*o, -x = 3*o - 230. Suppose -30957*n + 30917*n + 2360 = 0. What is the remainder when x is divided by n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(228) + sqrt(228)*-1*1 + sqrt(228) + sqrt(228) - sqrt(228)) + sqrt(228))*6)\/(-5*(sqrt(12) + sqrt(432))*6).\nAnswer: -8*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -555*p - 22. Let f(u) = 16*u**2. Give f(d(s)).\nAnswer: 4928400*s**2 + 390720*s + 7744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23a2 - -1?\nAnswer: 23a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 8\/((-2)\/(-6850004)*-4). Round w to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*r - 8. Let f(o) = o**2 - o - 9. Give f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 12 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l. Let p(b) be the third derivative of b**6\/120 - b**5\/60 - b**4\/24 + 8*b**3\/3 - b**2 + 63. Determine p(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*t + 398 - 1807, 4*t + 1454 = -3*b. Let w be -1 - b - (1 + 1). Let a be (10\/w)\/(1\/(-5)). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + 68. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41881148, 41881152, 41881156, 41881160, 41881164?\nAnswer: 41881168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4931589885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 0 (c) -0.08 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*h**3 - 5091305*d**2*h**2 + d*h**3 + 87*d*h**2 - 5*d*h + 9*h**3 - 6*h**2 + 1 wrt d.\nAnswer: 4*h**3 - 10182610*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 + 2*v + 5. Let h(a) = -12*a**3 - a**2 + 10*a + 21. Let p(d) = -9*c(d) + 2*h(d). Suppose 2*m - 2 = m. What is p(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/52*5\/(160\/48)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/139 or 34\/9?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44243550 (base 6) to base 13.\nAnswer: 37659c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:55 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 - 43*q + 220. Let h be 2\/7 + 25\/35. What is the remainder when 4 + 27 - -1*h is divided by t(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -4*l + 502. Suppose -5*j - 70 + l = 0. What is the remainder when j is divided by (16\/40)\/((-2)\/(-50))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007607 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -10) + 18 + (-64 - -45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 177166791.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f + 0*f)*((3 - 1 - 3)*(-5 + 1 + 0) + (3 + 0 - 1)*(4 + 2 - 1) + 0 + 4 - 5).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 28070*a - 19. Let k(u) = 3*u. Determine f(k(m)).\nAnswer: 84210*m - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 14\/3 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(4 - (-24)\/(-36))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18180264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 442 - 325. Let d(a) = a**3 + 8*a**2 + 3*a - 10. Let m be d(-7). What is the greatest common factor of m and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30607, 30828, 31049?\nAnswer: 31270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4 - (-3 - -9)) + 323 + -347?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(((-3)\/(-1))\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -22*m + 9. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*q + 2\/3*q**3 - 4\/3*q**2 + 0 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*g**2*o**2 - 24*a*o**3 + 27*g**2*o**3 - 2*g**2*o**2 wrt a?\nAnswer: -2*g**2*o**2 - 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22*s - 15. What is w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 r when four letters picked without replacement from {w: 2, z: 1, g: 2, c: 1, n: 4, r: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10646 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 19*s + 56. Determine p(-8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1732 + 1728. Is y >= -10.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 181?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/29032 and 17\/12224?\nAnswer: 232256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 158. What is v(15)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 19 = 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w, 0*w = -t - 2*w + 11. Let o be (-15)\/20*8\/(-6). Calculate the greatest common divisor of o and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p. Let y(u) = -43*u**2 - u. Give y(h(c)).\nAnswer: -11008*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (-1*sqrt(300) - sqrt(300))\/sqrt(6) - (2 + sqrt(50) + sqrt(200))) + 4 + (-3*sqrt(50)*-2 - sqrt(50) - sqrt(50)) + (sqrt(350)*-3)\/sqrt(7).\nAnswer: -15*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6589059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41499 is divided by 192.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8166\/121 - -145941\/121. Let p = n - 1137. Calculate the common denominator of -71\/4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1876, -1879, -1884, -1891, -1900, -1911?\n\"Answer: -u**2 - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1844 - -1847. Let v = -43585\/41 - -1063. Is t at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -428, -433, -466, -539, -664, -853, -1118?\n\"Answer: -2*i**3 - 2*i**2 + 15*i - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -19, 2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(-3*z - 12*z - 4*z)*(-44*z**3 - 16*z**3 + 14*z**3).\nAnswer: 2622*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 154171486818 and 5.\nAnswer: 154171486823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3859586?\nAnswer: 2, 1929793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 + m - 5. Let j be v(2). Solve 4*k + j = -5*r, -2*r - k - 16 = -4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122121 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 4*u**3 - 4*u**3 + (0*u - 5*u + 2*u)*(u**2 - 5*u**2 + 2*u**2 + (7*u**2 - u**2 - 2*u**2)*(-2 + 3 - 3)).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212331004.\nAnswer: 2, 19, 941, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1375*g + 1365*g + 6140. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10525, 20493, 30461, 40429, 50397, 60365?\n\"Answer: 9968*c + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.094 (b) -0.06 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2076*w - 1047*w + 1040 = 1096*w + 5060 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 693467.836 to the nearest one thousand.\nAnswer: 693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/150*-5 + (-3109)\/(-20). Let s = l - 155. Factor 0*q**3 + 0*q - 1\/2*q**2 + s + 1\/4*q**4.\nAnswer: (q - 1)**2*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = 0, 1423 = -4*v + 5*v - j. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 + 2?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and 9\/460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-44)\/110). Suppose 5*x = -g*j + 2468, -2*x - 2*j = -7*x + 2463. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -1)*-6*3.\nAnswer: -216*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5574236 (base 10) to base 12\nAnswer: 1a499b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1181 + 168. Is (3 - 5)\/((-2)\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466494 divided by -16086.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 18*y**2 + 5*y - 25. Let d(l) = -2*l**3 - 36*l**2 - 11*l + 50. Let r(x) = -4*d(x) - 9*v(x). What are the prime factors of r(-18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 - 6*f + 2. Let n be t(2). Let g = 39 + n. Solve m = 4*m - g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + -9.17. Let k = -7.1 + -1.5. Let v = k - l. Which is the closest to -2\/5? (a) 2 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 3*c**2 + 5*c**2 - 2*c**2 - 2*c**2 as o + q*c + f*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 226 = -104*g - 2*d, -8*g - g + 4*g + 3*d = 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 2*a. Let x = a - -2. Suppose 0*i + x = 3*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 221, 216, 211, 206, 201?\n\"Answer: -5*t + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*x - 20 = -203*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592588 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*k - 21, k = m - 0*m - 8. Suppose -15 = -g - m*h, -2*g + 0*h = -5*h + 25. Solve 7 = 2*t - c, -c = -g*t + 3*t - 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -760.5, -3, -93, 6\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 7*r**2 - 7*r + 7. Let k be ((-4)\/(-5))\/((-42)\/420). Calculate f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20213 (base 5) to base 16\nAnswer: 51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44\/9 - 497\/144. Let n = -501177 + 2486739\/5. Let l = n - -345353\/90. What is the common denominator of l and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9644, -17609, -25574?\n\"Answer: -7965*h - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 3*p**3 + 2*p**3)*(-p + p + p**2) + (-7*p**4 + 15 - 15)*(3*p - 2*p + 5*p) + 55 + 34*p**5 - 55.\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132333?\nAnswer: 1132333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.2. Which is the third biggest value? (a) u (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 4445.0046.\nAnswer: 4442.0046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1219, -4898, -11031, -19618, -30659, -44154, -60103?\nAnswer: -78506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 3*m**2 + 2*m**2 + (-2*m - 1 + 1)*(2*m + 0*m - 3*m) + m**2 - 2*m**2 + 3*m**2 - m - 2*m**2 + m to y + p*m**2 + j*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x - 4*g + 7, 4*x = 5*g - 6. Suppose 3*q + 2*j - 55 - 35 = 0, -4*q - 3*j = -121. What is the common denominator of 287\/q - x*4 and -41\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -28*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549 and 28296.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40669503 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 40, 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 - -285. Which is smaller: s or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 11) to base 9.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -14*h**5\/5 + 311*h**4\/8 - h**2 - 2*h + 898. What is the second derivative of o(d) wrt d?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1755803828 and -361?\nAnswer: 1755803467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 19 = -5*x, 4*l - 16 = 0. Solve 0 = 5*b + x*r + 26, 0*b - 12 = 2*b + 2*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + 12 + 3) - (-3507 + 3462).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17.1 + -36\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 172*o**3 + o**2 - 6*o. Determine l(1).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2347*r**3 + 1263*r**3 + 1310*r**3)*(0 - 3*r + 0)*(3 + 4 + 5) in the form f*r**2 + q*r**4 + z*r + y + u*r**3 and give q.\nAnswer: -8136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -122100210121220?\nAnswer: -122100210121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/4 - 3*v**3 - v**2 + 11*v + 1. What is the remainder when w(-9) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 6 - 21 - 4*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*i - 443 = s, -5*i = 5*s - 1095. Suppose 6*w = 74 + s. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/s**(-3\/13) assuming s is positive.\nAnswer: s**(94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-715))\/(6\/(-36)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:12 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2 - 10*x + 1800 = 0?\nAnswer: -20, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 48*j + 7. What is i(-1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*p + 217*p - 49*p - 1932 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*d + 2710*d**3 + 100*d + 29*d.\nAnswer: 2710*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let d(f) = -709*f - 10 + 707*f + 12 + 11. Determine d(q(x)).\nAnswer: 4*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + i = -21 - 587, -m + 176 = 5*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 1.49?\nAnswer: -0.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g. Let z(b) = 11*b**3 - 3*b**2 - 6*b - 1. Determine -6*y(o) - z(o).\nAnswer: -11*o**3 - 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {y: 1, e: 1, z: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 8, 0.5, -0.3, 39, -6\/25.\nAnswer: -1, -0.3, -6\/25, 0.5, 6, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95166 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/5 + 47*z**3 - 236*z**2\/5.\nAnswer: z**2*(z - 1)*(z + 236)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97584, 195143, 292704, 390267, 487832, 585399?\nAnswer: 682968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 - (0 + 2)). Let h(d) = 0*d - j*d + d + 3 + 4. Calculate h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 18 + 19 + 2 + 14 + -12 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 + 10*i**2 - 75*i - 180 = 0 for i.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-350))\/2*7\/(-4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13894238*p**2 - 772915*p - 3 wrt p.\nAnswer: 27788476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 + 108.3. Let u = -0.3 + c. Let t = -12684 + 12682.7. Put t, -0.5, u in increasing order.\nAnswer: t, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*z + 14, -5*w + 14 = 5*z - 3*z. Calculate the least common multiple of w and 171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r + 38*r + 57*r)*(1 - 2*r - 1).\nAnswer: -230*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 82*a - 48. Let t be s(41). Suppose 5 = 2*u + 31. Let f = u - t. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1521\/1442 + 12\/721. What is the common denominator of 85\/44 and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -22. Suppose s = -s + 5*q + f, s - 20 = -3*q. Solve s = -3*n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3*(-7)\/((-189)\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, -4, 1 in increasing order.\nAnswer: -4, -2, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 275201807*k**3 + 16*k - 1918307 wrt k?\nAnswer: 12*k**2 - 1651210842*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8842631 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*l - 578 = 691 + 419 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -15. Suppose -3*n + 2*y + 10 + 7 = 0, 0 = 4*n - 5*y - 32. Suppose 2*i = 5*x + i + 10, n*x - 6 = 3*i. Sort a, 0, x in increasing order.\nAnswer: a, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 4*x - 45*x.\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*t = -8, -4*a - 24 + 28 = 3*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 128 + 3\/2*g**2 - 33*g - 3\/4*g**4 + 11*g**3. Let j(s) = 0. Calculate s.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*j - 547 - 532*j + 607.\nAnswer: -j + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 18. Let v(t) = -t**3 - 4*t**2 + 5*t - 4. Let b be v(i). Let n(j) = j**3 + 3*j**2 - 6*j - 1. Determine n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3232 = -173*w + 177*w, -4*t - 3*w = -3267. What are the prime factors of t?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -24. Suppose -5*v + 74 = 89. Put v, -1, z, -4 in ascending order.\nAnswer: -4, v, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 120. Let i = -16316 + 16745. What is the least common multiple of i and j?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1015 and 0.3?\nAnswer: 0.03045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 4 + 4 - 15 + 5*g**3 + 2.\nAnswer: g**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33.07? (a) 2 (b) 1\/2 (c) -0.2 (d) 1 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5312 = 4*u + 676. What are the prime factors of u?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 477*p + 49621. Give r(-104).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-4)\/(-10))\/(-2))\/(-1). Let g(r) = 2*r - 5. Let u be g(4). What is the nearest to 1 in 0.1, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 17*t + 14 = -d, 2*t - 5 = 5*d. Let l = 0.1 - -0.9. Let v = l + -1.5. Which is the closest to d? (a) 2\/19 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 i when three letters picked without replacement from {e: 1, i: 1, q: 7, b: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + 2*o)*(-6 - 4*o + 6) + 0*o**2 + 0*o**2 - 2*o**2 + (o - 4*o + 4*o)*(5 + o - 5) + 3*o**2 + o**2 - 6*o**2 - 2*o**2 + 6*o**2 - 2*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.151498 from 0.78559834.\nAnswer: 0.93709634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 3*n**2 + 3*n**2)*(54*n - 41*n - 240*n)*(3*n - n + 0*n) - 4 + 4 + 2*n**4 + (-n**3 - 2*n**3 + n**3)*(2*n - 5*n + n).\nAnswer: -902*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 0 + 2 + sqrt(108) - (sqrt(108) - (sqrt(108) + 0))*-4)**2 + -4 + 0.\nAnswer: 72*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 8 = 0. Let d(f) = 0*f - 2 + c*f - 3 + 0. Calculate d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y*y\/(y\/(y*y*y\/y**2))*y))\/y))**39*y**(-5\/6)*y**(1\/15)*y assuming y is positive.\nAnswer: y**(5857\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49.335927448 and 3.\nAnswer: -46.335927448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36 = 4*f - 3*f, -m + 16 = 2*f. Let y = -4 + m. Calculate the smallest common multiple of y and (1\/3)\/((-2)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -533?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 minus 5.388065304?\nAnswer: -2.988065304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, 214352 in ascending order.\nAnswer: -4, -3\/2, 214352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 380 = 16*a - 223 - 209, 8*a + a - 2*a - 109 = -5*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1753*o**3*r**2 + 36*r**2 + 1 wrt o.\nAnswer: -5259*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6458 = 5*f - 7*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -9, 2, -4, -3 in descending order.\nAnswer: 2, -3, -4, -9, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182463.\nAnswer: 3, 60821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(1*sqrt(2))*-2 + 2 - (1*sqrt(1088) + -5)*-2)**2.\nAnswer: -224*sqrt(17) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -46*k**4 - 2*k**2 + 2*k + 14. Let m(z) = -8*z - z**2 - 4 + 7*z + 2*z**2 + 3. Let f(g) = 2*i(g) + 4*m(g). What is the first derivative of f(s) wrt s?\nAnswer: -368*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2750, -3054, -3358, -3662, -3966?\nAnswer: -4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 106916573.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*y = y - 32, 0 = 5*y - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.0201 rounded to 0 dps?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 36756 = 12*w. List the prime factors of w.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 187 + 2*q - 8*q.\nAnswer: -6*q - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00538739 to 5 decimal places.\nAnswer: 0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412833459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 131500.\nAnswer: 131500.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8*7\/14. Let l = -7 + 6.88. Let x = 0.08 - l. What is the second biggest value in x, q, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*q - 24 = 0, 0 = f - 2*q + 3*q - 7. Suppose f - 13 = -3*s. Determine a so that -s + 4 + 2 + 8*a + 6*a**2 - a**4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y**2 + y**2 - 6*y**2)*(y + 6*y**2 - y).\nAnswer: 78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-27)\/h)**(1\/32)\/(h**(-9)*h**(4\/33)\/h))**(-18) assuming h is positive.\nAnswer: h**(-7131\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13422793, -26845612, -40268431, -53691250, -67114069?\n\"Answer: -13422819*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d + 32. Let z(p) = -1. Let o(n) = u(n) + 32*z(n). Let b be -2 + 2\/4*8. Let v(i) = 2*i**b + 2*i**2 + i**2 + 0*i**2. What is o(v(y))?\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d4004 (base 15) in base 4?\nAnswer: -232000320232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3730196790 to the nearest 1000000.\nAnswer: 3730000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9*(-19)\/(-684))\/(2\/(-8)). Let g be 1 - 2*2\/3. Which is the nearest to g? (a) 4 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-98) + 63592756\/(-538363)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 34*c - 548. Give s(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200364281831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*g - 7*g - 5665, -2*s - 5*g = -11357. List the prime factors of s.\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from fffvuouuvv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/(5\/(-50)). Let p be (-72)\/(-33) - z\/(-22). Let s(w) = 0*w**2 - w**2 - p*w**2. Let t(j) = -j. Give t(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1955?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + (-3)\/18. Let q = 231 - 230.7. What is the third biggest value in q, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3005592 and 732?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 + w**4\/3 - w**3\/3 - 16*w**2. Let c(b) = -16*b + 1015. Let p be c(64). Give s(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*i - 5*j, 3*i + 5*j - 37 = -6. Does 19 divide i\/6 + (-5)\/15 - -38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 194*t + 7*t**3 + 209*t + 23 - 14*t**2. Let l(y) = -6*y**3 + 13*y**2 - 15*y - 23. Let d(u) = -5*f(u) - 4*l(u). Let m be d(17). Is -0.1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3, -4*j - 5*m + 8 + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skks when four letters picked without replacement from {k: 3, s: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*l - 127 = 0, w + 0*l - 121 = -3*l. Suppose 5*z - 12 = -2*j + 60, -5*j - 51 = -4*z. What is the greatest common factor of z and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/(-12))\/(-1)*((-34352)\/(-113))\/76?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvvvvkvkkkkkvvvkkv. Give prob of picking 4 k.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2))\/a**(-6))\/(a**(2\/9)\/a*a\/((((a*a**(-2\/7)*a)\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**(472\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s - 16. Let q be g(-7). Suppose -t + 2436 + 1669 = q*j, 4*j = -2*t + 3284. List the prime factors of j.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4690 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45380592 divided by 2.\nAnswer: -22690296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 12, 3, -26, -81, -168?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11663, 4\/5, 30 in decreasing order.\nAnswer: 30, 4\/5, -11663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/3 + 7. Suppose -4*r + z*r = 15. Suppose -r*i + 61 = n, 5*i + n = 2*i + 35. What is the greatest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 4*h - 2*c - 26, 211*h - 4*c - 52 = 205*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 9 - 6*s**3 - 20*s**4 - 45*s + 5*s**5 + 210*s**2 - 79 - 34*s**3 - 200 + 0*s**5 = 0.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546727200.5 rounded to the nearest ten thousand?\nAnswer: 546730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 904867.74s in days?\nAnswer: 10.47300625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -1.7. Let o be 2 - (3\/2 + -1). Which is the closest to i? (a) o (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 273\/(-49) - (-3)\/(-7). Solve r = -3*h - 0*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7162.507 hours to seconds.\nAnswer: 25785025.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let j(v) = v - 2*v - 5 + 3. What is the units digit of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:27 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-4)*v)))\/(v\/((v**(-1\/4)\/v)\/v))*(v**1)**(-41)*(v\/(v**2\/v*v)*v)\/((v*v**(-2\/3))\/v)*(v**(-2\/7))**(-2\/63) assuming v is positive.\nAnswer: v**(-80393\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1579449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 - -11466.6.\nAnswer: 11156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 11*b = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3384, -3390, -3400, -3414, -3432, -3454?\n\"Answer: -2*d**2 - 3382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, 1 z, and 1 v when four letters picked without replacement from bzebebgvzbbvbzg?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1890)\/(-24))\/15)\/((-15)\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 8. Let u be j(6). Suppose 5*r - 1 = 19. Suppose -13 = -5*s + 5*m + 27, -5*s = -r*m - 42. Solve u = 4*y + s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 8*n**2 - 8*n - 4. What is m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 18 + 3. Suppose -3*z - i - 15 = 0. Is 84\/15*(-45)\/z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1972 - 2000. Which is smaller: -62 or a?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 20, -9.9, 11, -11, -2\/5 in increasing order.\nAnswer: -11, -9.9, -2\/5, 1\/2, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 4147375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.1. Let g = -465\/946 - 4\/473. What is the nearest to g in 0.05, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -29. Let d = 150 - n. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56.1 (b) 5\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 1915\/48?\nAnswer: 1915\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101110000100101110 - -10?\nAnswer: -11100101110000100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-10))\/((-32)\/(-13040)). Let u = j + 328. What is the remainder when 3 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.439 - 0.039. What is the fourth smallest value in 3\/2, 2, q, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 - 3*t**4 + 4\/3*t**5 + 0*t + 0 + 2\/3*t**3.\nAnswer: t**3*(t - 2)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195.4 + -203.646. Round r to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-3396)\/(-336))\/(792\/(-96))\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*n - 6 = 0, 0 = 3*n - 1 - 8. Suppose 0 = -o*y - 24 + 88. What is the greatest common factor of 64 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -899.8 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 1660102?\nAnswer: -1660066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1795 = -722*m - 14785 - 7968 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38083684693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2220\/12 - (1\/1 - (8 + -6)). Calculate the greatest common factor of u and 6417.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 72.21 and 9?\nAnswer: 63.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 79*u + 11. Let z(b) = -b + 2. Determine k(d) - 6*z(d).\nAnswer: 85*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/((-126)\/(-27)))\/1)\/(7\/((-42)\/9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42613 and 2143533?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 4, -7, -2267, -2 in ascending order.\nAnswer: -2267, -7, -2, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16624 (base 12) to base 13\nAnswer: -11743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22246 and 44038.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(10)*1*-5).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33394 + -33391. Suppose -4*g + 24 = w, w - g - 4 + 5 = 0. Sort w, -1, m, 5.\nAnswer: -1, m, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19437\/(-44))\/(440\/16). Let x = o - -177\/10. Suppose 16\/11 + 2\/11*f**2 + x*f = 0. What is f?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (47 - 11) - 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 149096*j - 298200.\nAnswer: 2*(j - 2)*(j + 74550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (468\/(-27) - -16)*(-3378)\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*w**2 + 32*w**2 - 76*w + 165*w - 83*w to l + s*w**2 + d*w and give s.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*2\/(-15) - (0 + -2). Suppose -4 = -4*g, 3*k - k - 5*g - 5 = 0. Which is the closest to 1? (a) k (b) 22 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**4)*w*w*w**(-3\/4)\/w*w*w**(1\/3)\/w**(-1\/2))**(4\/21) assuming w is positive.\nAnswer: w**(-23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 3*u**2 - 4*u + 1. Suppose -2*s + 26 = -4. Suppose 3 = 6*c + s. What is the remainder when 153 is divided by n(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 5*v + 160. Calculate the highest common factor of v and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:36 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*k - 3, -4*w + 4 = w + 4*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 211, 0.7, -125, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 1392, 3295, 5986, 9459, 13708?\nAnswer: 18727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*f - 0*q - 2*q, 4*q = -3*f + 28. Suppose -f*b - 2*i = -216, -3*b + 3*i + 121 + 50 = 0. Let v be (-3)\/(-4) + b\/(-20). Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (312\/60 + -6)\/(8\/220) + 8. Let b = -3 + 2. Put 1, b, c in descending order.\nAnswer: 1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -1652.\nAnswer: -17\/826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42917238?\nAnswer: 2, 3, 7, 13, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91.393 + -0.793. Let t = 111 - y. What is t rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3530914 and 6785.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 4.5. Let d = 8 - 6. Let v be d\/(-4) + (-14)\/4. What is the third biggest value in -3, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 18699 + 92511. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39653737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, 0 - 4 = -3*l + c. Solve -v + 5 = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 234*j**3 + j - 2. Let r be 105\/4 - (-9)\/(-36). Let o = -25 + r. Is y(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -69, 2\/17, 5943, 10?\nAnswer: 5943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52501975*n - 16 = -3*p - 52501976*n, -7*p = 4*n - 24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 2*r + 6*r**2 - 3*r**2 - 9 - 3*r. Let t(i) = 6*i**2 - 6*i - 10. Give -5*h(d) + 4*t(d).\nAnswer: -d**2 + d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:03 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -24. Let g(q) = -205*q - 2*q**w + 205*q. Let c(s) = -s**2. Determine g(c(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 14410663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48915 - -25 - -20) + 24\/(-2).\nAnswer: 2, 3, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*w - 209*w - 102136. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 169*u**3 + 547*u**3 - 159*u**3 + u - 119*u**3.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689 = 9*l - 400. Suppose -4*d + 2*u = -l + 5, 5*u = -10. What is the second derivative of -d*j + 29*j + 4*j**3 + 8*j**3 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104170 is divided by 1386.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - 0.1. Let x be ((-2)\/6)\/(4\/(-15)). Let c be (0 - 5) + 3 + 0. What is the smallest value in h, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(39)\/sqrt(3) - sqrt(52)\/(sqrt(28)\/sqrt(7) + sqrt(4)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264732 and 25455?\nAnswer: 1323660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2623*w**2 + 2623*w**2 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 916405472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12\/11 (b) -15 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 20*x + 54. Calculate the remainder when 36 is divided by p(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 444 - 443.806. Let d = -4.194 + l. Let n = -22 + 67\/3. What is the closest to n in 0, d, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -516027235 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/60)\/((-6)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139838.\nAnswer: 2, 29, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -6 - (54 - 27 - 3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243330 and 123.\nAnswer: 9976530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 5*c + 5*c + 4*c - 2*c - 3*c + 0*c - 3*c + 2*c + 0*c - c + 2*c + (2*c - 3*c - c)*(-3 + 2 + 2) + (2 + 2 - 3)*(4 + 1 + 6)*(-1 + 1 - c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 180 = -0*v. Let x be ((-39)\/12 - -4)*v. Let p = 54 - x. Solve p + 11 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.5 (c) 1 (d) -447 (e) -0.4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68c - 4?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 9*m + 76 + 2*m - 76.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-11) + (-62)\/(-22). Let p(a) = -a**2 + 24*a - 78. Let l be p(20). Solve l*b - 26 = -4*w, -3*w + f*b + 0 = -6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512124376?\nAnswer: 2, 64015547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 - 8253*x**3 - 37176*x**2 - 12397*x + 16524 = 0?\nAnswer: -4, -1, 1\/2, 4131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3 (c) -6662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 257621 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let l = d - 2.9. Let p = -88 - -442\/5. Which is the second smallest value? (a) l (b) -1\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (9\/(6075\/30) + (-2068)\/(-45)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m - 64*m + 1828 = 462*k, -2*m - 5*k = -30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 111, -3\/5, -2\/19, 1.3, 6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 57*r - 2879 + 599 = 0, 0 = 2*j - 5*r - 200 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 2*s - 2, 0 = 3*n + 2*s - 22. Suppose -5*q + 5*r = 10, -16*q + 11*q - 3*r + n = 0. Factor -1\/2*k**2 + 0 + q*k.\nAnswer: -k**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5232, -20497, -45938, -81555, -127348, -183317, -249462?\nAnswer: -325783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - 5. Let z = -9.4 + 13. Let g = 0.4 + z. Sort g, l, -2 in ascending order.\nAnswer: -2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5 + -6)*-1. Let y be 9\/k*(-8)\/(-12). Suppose 5*p = -25, y*p - 1 = -3*s + 20. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/60? (a) 1 (b) 13.7 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 2 - 28 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036475 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18222*z**3 - 40983*z**3 + 7610*z**3 - 24279*z**3.\nAnswer: -75874*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 0.5, -2, -1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 28 - 91. What is the least common multiple of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 969 and 9?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.11 + 2.61. Let t = -204 + 203.5. Which is the second smallest value? (a) 3\/2 (b) t (c) g (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 37*q - 28. Let h be r(4). Let y = 114 - h. Which is bigger: y or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47070*j + 94143*j - 47077*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 2*u**2 + u**4 - 2*u**4 + 10*u**2 + 3*u**3 to the form j*u**4 + x + i*u + s*u**3 + n*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1409 = -a + 2*z, -2*a + 2842 = 7*z - 5*z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10531 is divided by 5253?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15102318 by -14154.\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 8?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 10*m - 10. Let h be y(10). Is (-116)\/3*15\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 8*i - 6. Let n be c(4). Solve -2*a - 3*a + n = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277631, -277635, -277639, -277643, -277647, -277651?\nAnswer: -277655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1560 - 2787. Let g = j + 1760. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54317205 a multiple of 1341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 8*r**3\/3 - 33*r**2\/2 + 31*r + 68. What are the prime factors of m(13)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7013 (base 10) to base 4.\nAnswer: -1231211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c. Let p(f) = f + 9. Let x be p(-10). Let h(a) = -1. Let w(u) = -2*u - 8. Let n(s) = x*w(s) + 8*h(s). Calculate n(b(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65711745, 131423494, 197135245, 262846998?\nAnswer: 328558753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziozzrzorirzrzcciziz. What is prob of sequence irzz?\nAnswer: 112\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.40599 + 3787.\nAnswer: 3786.59401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z. Let q(f) be the second derivative of -2*f**4\/3 - 1900*f. Determine u(q(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (0 + -16 + 10 - -14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:22 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + (-33)\/(-27). Let c = -5287 + 5288. Suppose q + 6 = -2*q. What is the closest to k in -0.4, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16463149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n - 42 = -48*n. Suppose 14*t - 20*t = -n. What is the remainder when 10 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 5*t**4\/4 + 7*t**3\/3 - 6*t**2 + 3*t + 1795. Let q(h) = 2*h**3 + 3*h**2 - 6*h + 1. Calculate -7*q(f) + 3*w(f).\nAnswer: f**3 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -6. Suppose -3*j = 0, 4*s = j + b + 1. Solve -s = a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79984b (base 15) to base 14\nAnswer: -ab0d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in -327, 0, 0.4, -20\/99?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -36. Suppose -2*q + 3*q - 4 = t. Sort q, -31, 1 in ascending order.\nAnswer: -31, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.49 or -35.425?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 55*w**2\/4 - 543*w\/4 + 1161\/4.\nAnswer: -(w - 43)*(w - 9)*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 144. Is u at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 - 86520*c**4 + 12000868*c**3 - 570721680*c**2 + 9955211850*c - 31435209000 = 0.\nAnswer: 4, 45, 43121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-64)\/(-24))*(-3 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2*3*-1. Suppose 8*p = 3*p - q + 8, 12 = 2*p - 4*q. Differentiate 4*g**3 + g**2 - u*g**3 - g**2 + p with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 4\/9, -0.4, 0.042, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41399 + 67097. Let w = 44698 - p. Round w to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - u - u)*(564 - 841 + 437).\nAnswer: 640*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*i + 28 = -i, -28 = 2*s + 2*i. Let t be (-35)\/s*2\/5. Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oziizziiiiiiaii. What is prob of picking 3 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1780 - -2a?\nAnswer: 17aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -15.433?\nAnswer: 138.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 4. Let u be g(0). Suppose -q = 0, 0*q - 2*q = -u*v + 12. Let s be 30\/40*(-2)\/(-12). Which is the smallest value? (a) v (b) s (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 7*s - 13*s**2 + 12*s**2 + 2*s to x*s**2 + a + k*s + c*s**4 + b*s**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, -21, -2, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90360 and 6840.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 16 (b) 5 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:18 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 2, f: 3, m: 3, z: 6, c: 2, t: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2151588 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8909474513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 4. Let a be u(4). Let z(i) = 138*i**2 + 1. Let h be z(1). Let v = h - 7. Calculate the greatest common divisor of v and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 1134 = 3*d. Calculate the remainder when 187 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 15*h**2 - 25*h + 18. Let i be r(-13). Let v(x) = x. Let z be v(i). Solve -j - 2*d = 3*j + 10, 4*j - z = -5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -56. Suppose 3 = 6*s - y*s. Solve -2 + s = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 23, 27, 27, 23, 15, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 - -105. Let k(s) = -s - 11. Let b be k(y). Suppose 2*i - 2*g - 2*g = 140, -i - b*g = -88. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Suppose -c*x + 4 = -x. What is the derivative of -4*n**x - 3*n**2 - 2 + n**2 + 2*n**2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -623431 or -623432?\nAnswer: -623432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/2*(-4)\/(-8). Let b = x - -2. Let j(k) = 0*k**2 - k**3 - 2*k**2 - k + k**2 + 7. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/4 - -3) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 205*r. Let g(k) = -26*k. Determine g(n(t)).\nAnswer: -5330*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1))\/(0 - -1). Let k = -6605 + 6641. Calculate the common denominator of -13\/11 and (-2)\/(-3) - s*699\/k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-20))\/(-7*(-3)\/(-12))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -151. What is the nearest to -1\/3 in -3\/2, o, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/31 + -35\/93. What is the closest to 0.009 in -6\/5, -3, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304529 and 49?\nAnswer: 14921921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2994 - -4188. Calculate the remainder when b is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 6906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1302 - 1321.34. Let b = t + 20. Round b to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 1, t: 1, h: 2, b: 1, v: 1}. What is prob of sequence ebt?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (1\/1 + -178). Suppose 4*b = d + 80. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + -1.8. Let n be (-2)\/4*4\/6. Let m = 5735 - 5716. What is the nearest to n in -3\/7, l, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e66a8db + 3?\nAnswer: 1e66a8de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 - t + 1. Let y(b) = -6*b**5 - b**3 + 5*b**2 - b + 1. Let h(z) = -2*l(z) + 2*y(z). Find the third derivative of h(o) wrt o.\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3b627 (base 15) to base 2.\nAnswer: 11101101100011011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348034?\nAnswer: 2, 174017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 10\/(-4) - 1. Let t = -8 - -12. Do t and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*y - 46*j**3 - 9902*j**2*y - 14*j*y + 294006*y wrt j?\nAnswer: -12*j*y - 276*j - 19804*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}