diff --git "a/data/dm_maths/full_data_1/2669_11255.jsonl" "b/data/dm_maths/full_data_1/2669_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2669_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 9*a - 925 + 1848 - 4*a - 922.\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 216 in -21, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 16350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r + 2)*(15*r**2 + 17*r**2 - 5*r**2) + 2*r**3 - 33*r**2 + 33*r**2 + 2*r**3 - 3*r**3 + 4*r**3.\nAnswer: 59*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g - 3*g)*(-3 - 11 + 13)*(-4*g**4 + 3*g**4 + 4*g**4).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 14. Let y(h) = h**3 + 6*h**2 + 8*h - 3. Let s be y(-4). Let w(f) = f**2 - 4*f - 5. Let i(x) = x**2 - 3*x - 5. Give k*i(l) + s*w(l).\nAnswer: l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -10913079?\nAnswer: -2182615.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1122, 1, 5, 60 in increasing order.\nAnswer: -5, 1, 2, 5, 60, 1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2. Let v(y) be the third derivative of 0*y**3 + y**2 + 0*y**4 + 0 + 1\/30*y**5 + 0*y. What is l(v(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 - 178. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4104108 - 444*d - 2179*d - 4107359 wrt d?\nAnswer: -2623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/18228 and 109\/4728.\nAnswer: 7181832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46240 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let h(q) = -10*q - 24. Let n(x) = x + 2. Let r = -109 - -121. Let b(k) = r*n(k) + h(k). Give d(b(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 212909214.\nAnswer: 1277455284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 47. Suppose 5 - r = 3*i. Let g be (-34)\/(-8) + 2\/i. Sort 3, 0, g.\nAnswer: 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {e: 2, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab - -504336?\nAnswer: 504425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 + 85\nAnswer: 85.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 403.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + 6*(sqrt(6)*-1 + sqrt(6)))\/sqrt(3).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 13*f**4\/6 - 4*f**3\/3 + 4942*f**2 - 2*f + 3031. Find the first derivative of z(h) wrt h.\nAnswer: 52*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 708*z**2 - 34616*z + 320352.\nAnswer: -4*(z - 94)*(z - 71)*(z - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389246785 to the nearest integer?\nAnswer: 19729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.448239559 rounded to two dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 7*d + 3*d + 3*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 15*a**2 + 19 - 7 + a**2 + 13*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17505 divided by -6.\nAnswer: 5835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7511.839 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4560 = -953*y + 1067*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8277258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(114) - sqrt(114) - sqrt(114))\/sqrt(6) - ((sqrt(19) - (4 + sqrt(76))) + sqrt(57)\/(sqrt(15)\/sqrt(5))).\nAnswer: -6*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -54940677.\nAnswer: 109881354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-24)*c)**(-26))**30 assuming c is positive.\nAnswer: c**(-20280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1717506*p**5 + 29388*p - 34 wrt p?\nAnswer: -34350120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*c - 44 + 19 + 25.\nAnswer: 623*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9376 and 50.\nAnswer: 46.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/4 - 133*s**2. Let f = -12 - -15. Let b(i) = 3*i + f*i - 4*i - 5*i. Give b(m(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from iiiggilgi?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 8) to base 16.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 64*g - 76*g. Is (-6 + 15\/g)\/(2\/(-388)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - (0 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g - y = -14*g - 14*g - 1, -5*g = -3*g + 8*y - 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/14))\/j*j**(2\/5)*j)\/((j\/(j\/(j\/(j**(3\/7)*j)*j*j*j*j))*j)\/j*j*j**(2\/3)) assuming j is positive.\nAnswer: j**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14617 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (12 + -10 - -25)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.7+-2846\nAnswer: -2847.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -755 or -750?\nAnswer: -750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24503\/7 - -3508. Find the common denominator of 7 + ((-746528)\/(-2464))\/(-41) and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -5, -376, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s. Let d be (-5)\/2*(-110)\/25. Suppose -2*m + 15 = d. Let y(i) = 27*i. Determine m*y(n) - 15*f(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 125000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjnzhbxzxbxx. What is prob of picking 1 x and 1 z?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 3*s - 17. Let n be z(-4). Suppose -i + n*i = 200. Let u be (-2)\/(-8) - 1278\/(-8). What is the highest common factor of i and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 297*z**8\/28 - 329*z**4\/6 + 15*z + 12. What is the third derivative of x(o) wrt o?\nAnswer: 71280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**7\/105 - 4*c**6\/75 + c**5\/10 - c**4\/15 - 3*c. Factor k(p).\nAnswer: 2*p**2*(p - 2)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:05 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2 = 7*b + 5*q, -4*q + 1 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*x + x - 5*w, 3*w + 11 = 2*x. Let j(v) = 7 - x*v + 0*v + 0*v. What are the prime factors of j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4293 and 636.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64157926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51516611 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 = 2, -5*u = -3*b - 22. Suppose u*v = -3*l + 68, -14 = -v - 0*l - l. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away -0.067?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126135707 - -10?\nAnswer: -126135677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468\/5 + 94. Let t = 11 - 8. Suppose -3 = 3*y + t. Which is the second biggest value? (a) f (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u + 63. Let y be h(10). What is the closest to 0.1 in 0.4, y, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20349489?\nAnswer: 3, 41, 165443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115171796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -81204, -82167, -84788, -89895, -98316?\n\"Answer: -138*s**3 - s**2 + 6*s - 81071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194528 - -20.26933049.\nAnswer: -194507.73066951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14319 + 14614. Solve -o*q + 22 = -284*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -20 - 13. Let n = c + -8. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 243*q**8\/112 - 41*q**5\/5 + q**3\/6 + 1438*q**2. What is the third derivative of r(z) wrt z?\nAnswer: 43740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 24. Let u(o) = 2*o + 4. Give u(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 5, v: 9}. What is prob of picking 2 d and 2 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 2604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 23*z + 1948. List the prime factors of x(-81).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**2 + 14*l - 4 + 22*l**2 - 35*l**2 + (-l**2 + 3*l**2 - 4*l**2)*(3 + 1 - 6).\nAnswer: 2*l**2 + 14*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((680\/17)\/(-8))\/(651\/31).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l - 3*l + 2*l - 5*l - 2*l - 5*l + l + 3*l + (3*l + 2*l - 3*l)*(4 - 4 + 2))*(-4 + 2*l - 3*l + 0*l + 0*l - 4*l + 2*l + (l + 1 - 1)*(1 - 3 + 1)).\nAnswer: 16*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1450 - 1450.617. What is x rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 6*a + a)*(-3*a + a - a + (1 + 1 + 1)*(-3*a - a + 2*a) + a + 16*a - 2*a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 2*c + 0*c + 4*c. Let p = 25 - 18. Let b(a) = 4*a + 9*a - p*a - 4*a. Calculate k(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 = -3*d - 291, a = 0. Let v = d - -138. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -122?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4214 divided by 719?\nAnswer: -4214\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drdd when four letters picked without replacement from {r: 1, d: 7, q: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03428 - 7.03428. Sort 2\/3, -1, -11, u.\nAnswer: -11, u, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2418*n**3*p - 121305*n**3 - 3*n**2 + 224859*n*p + 4*p - 1 wrt n?\nAnswer: -14508*p - 727830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -39*l**2 + 18*l + 5. Let t be s(7). What is t rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 99193 = 61*l - 83490. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1594140026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99142?\nAnswer: 2, 19, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135861, -136343, -136823, -137301, -137777, -138251, -138723?\nAnswer: -139193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 1049 = -71. Suppose 0 = -5*a + 6*w - 9*w + 400, 5*w - c = -a. What is the greatest common factor of a and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29151\/10720 + 63\/335. What is the common denominator of s and 91\/176?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439651 to the power of 1\/2, to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125.34 + 6.74. Let n = 119 + g. Let i = 8 + -58\/7. Sort -5, i, n.\nAnswer: -5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4 (c) -7 (d) 0.02 (e) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2587165 to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 664243991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 - 2*x**2)*(-1 - 1 + 0) + x**2 + 3*x**2 - 2*x**2 + (4*x**2 - 4*x**2 + 2*x**2)*(0 - 3 + 0) - 3*x**2 + 2*x**2 + 3*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - ((17 - 3) + -7 + -1389).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 20 = 4*s + 7, -4*s + 1 = -5*f. Let n(o) = 7*o. Let m(h) = 48*h. Give s*m(x) - 27*n(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - d + 2 = -0, -2*j - 22 = -4*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 447641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030209 is divided by 225566?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:02 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2615, 3, -9, -1, -2 in decreasing order.\nAnswer: 2615, 3, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 - y - 2. Let g be a(3). Let m = -27 - -34. Calculate the highest common divisor of g and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 104206 + 132716. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/58)\/((-135)\/(-72))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 4)*(-10)\/100. Is v bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 116 = 746. Which is smaller: d or 43?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from giiigcicgggwigc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (180\/(-25))\/(-9)*9\/(-18). Which is the third smallest value? (a) -2 (b) -1 (c) -4 (d) q (e) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 6. Let j(h) = h**2 - 1. Let y be (-4)\/6*(-24)\/(-8). Let k be -1 + (0\/y)\/(-1). Let r(u) = k*s(u) + 3*j(u). Differentiate r(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -116, -46?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/292 and 3\/940532.\nAnswer: 940532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 30*b**2 + 369*b - 1931. Calculate the remainder when q(5) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**11*m)**39 assuming m is positive.\nAnswer: m**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*n = 10, -2*v + v - 3*n + 10 = 0. Suppose 0*t - v*x + 12305 = 5*t, -9844 = -4*t - 3*x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -113, 570183 in increasing order.\nAnswer: -113, -1, 570183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19343*i + 4 + 1 - 4 - 1.\nAnswer: -19343*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011090953 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 5*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 10116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2365, 9725, 22051, 39343, 61601, 88825?\n\"Answer: 2483*c**2 - 89*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 73 = -4*u, -5*u + 41*c = 42*c - 39 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (218\/5)\/(-5 + -3) and -83\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5564433648?\nAnswer: 2, 3, 137, 619, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:49 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*q + 7 = -q, 6 = -2*q. Let s be (0\/u)\/1 + -8. Let w = s - -8. Solve w = g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-4)\/(80\/15). Find the second derivative of -59*h**f - 57*h + 27*h**3 + 34*h**3 - 7*h**5 wrt h.\nAnswer: -140*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166 + 161)*(-2)\/(18 - -2)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3321 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let r = 0.91 - 0.28. Let b = 0.13 - r. What is the second smallest value in k, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1406 divided by -1406\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 30*a - 25. Let d be 42\/(-147) - 692\/28. Let u(m) = 4*m + 10. Let i(x) = x + 3. Let r(y) = -7*i(y) + 2*u(y). Determine d*r(q) + l(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzozozzzzzzzoozzzo. Give prob of picking 2 o and 1 z.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y. Let s(v) = 8*v. Let n(q) = -5*l(q) + 7*s(q). Suppose i + 5 = 5*g, g + 3*i = -3 - 12. Let f(b) = g*b**2 - b + b - b**2. Give n(f(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -125249 (base 11) to base 15\nAnswer: -3d6c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1736 = -4*f. What is the highest common factor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180317.\nAnswer: 180317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 12888.4?\nAnswer: -12888.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 805283*y. Let w(s) = 806*s**2. What is w(i(q))?\nAnswer: 522675452331734*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let q be (-25)\/15 + (-2)\/(-3). Determine u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 + (-78)\/(-42). Let z(p) = -p + 10. Let a be z(0). Suppose a = -3*b + 5*b, -5*m = -5*b + 25. Solve 3*v - v + y = m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:05 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484818 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/7)\/((-162)\/(-126)))\/((-9)\/(-5076)*-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 675\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -555 + 576. What is the smallest common multiple of l and 12 + -2 - (1 - 0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -3\/11, -0.1 in descending order.\nAnswer: 2, -0.1, -3\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 + 68*r**4 + 192*r**2.\nAnswer: -120*r**2 + 1632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1340305 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*b + 7526, b + 4902 + 2654 = 3*f. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -75. Suppose 1 = l*w + 21. Let r = 0.04 - 0.14. What is the closest to -1 in 1, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1427.56392 to the nearest 10.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 181223328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 3*c = -63, -5*c - 35 = -2*g. Suppose -g*y - 220 = -20*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4280 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 3\/2 (c) -0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -84. Find the third derivative of 39*r**6 - 37*r**2 - k*r**2 + 30*r**2 wrt r.\nAnswer: 4680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14, -3\/4, 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3427*l**4 - 1771*l**4 - 1367*l**4)*(-l - 2 + 2) + 5*l**5 - 2*l**5 - 4*l**5.\nAnswer: -290*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)**(6\/19))**(1\/27)*((r*r*((r*(r*r**(-1))\/r)\/r)\/r*r)\/r)\/(r**(-1\/8)*r)*(r*r*r\/(r\/((r**(-2\/7)*r)\/r)))**(-1\/29) assuming r is positive.\nAnswer: r**(-88093\/92568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7511*z = y + 7513*z - 9, -3*z = y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/8 - (4 + -1 + 0). Which is smaller: -2\/31 or z?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23021*v + 23045*v + 432 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-10)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 15396426?\nAnswer: 15396421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -79*d**6\/120 - d**5\/10 - 3*d**4\/8 + 43*d**2. Find the third derivative of j(l) wrt l.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 198104643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9733568 and 1664?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 8*a**2 + 4*a**2 - 3*a**2 - 25.\nAnswer: -7*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155586.4333 - -0.1.\nAnswer: -155586.3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + u + 5. Let q be g(0). Let k = q - 4. Let x be (-123)\/(-6) - k\/(-2). Calculate the greatest common divisor of x and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 + 63*n**4*t + 20*n**2*t - 2 wrt n?\nAnswer: -240*n**3 + 1512*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4090 and 42945?\nAnswer: 85890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.5 - -15.499923. What is y rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -337, -674, -1011, -1348?\n\"Answer: -337*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from pplliillplpplplllpp?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/i*i**(6\/13))\/((i*i\/(i\/(i\/(i\/i**(-1\/24)))))\/(i*i\/(i\/(i\/(i**(-15)*i*i))))) assuming i is positive.\nAnswer: i**(2341\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 35. What is the biggest value in 4\/7, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -312*c + 295*c. Let q(x) = x**3 + 5*x**2 - 8*x - 8. Let a be q(-6). Let p be (-9)\/6*(2 - a). Solve 5*m + c = p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7 + 0*j + 2*j**2 - 3*j**2 + 3*j. List the prime factors of f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001984212 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8456, 3, 4, -2.\nAnswer: -8456, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708 (base 11) in base 6?\nAnswer: 14042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -55. Suppose 162 - 57 = -h*a. Let c = 12 - a. Calculate the remainder when 66 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11213 divided by 18?\nAnswer: 11213\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/11 in 16, -2, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*x - 694443 = 0, -2*s + 136180 + 326812 = -3*x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 1, g: 1, k: 2, d: 1, j: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006301302 rounded to 5 dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3 + 2*l**2 - 281*l?\nAnswer: -18*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -119 (b) -58 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 33.2. Let f = g + 0.7. Are -2 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 59. Calculate the remainder when g(22) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403516 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j. Let c(u) = u + 77000. Let s be c(j). Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10030*p - 6. Let q(l) = -902701*l + 542. Give -3*q(z) - 271*v(z).\nAnswer: -10027*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.231 - -61.731. Let z = h + -62. Let x be 1 + 2*(-2)\/(-4). Which is the closest to -1? (a) z (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -3*k**4\/16 - k**3\/2 + 39*k**2\/8 - 15*k\/2 + 55. Factor o(s).\nAnswer: -3*(s - 2)*(s - 1)*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152\/45 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/304*((-220)\/4)\/11?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 70*t + 335. Determine m(-7).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 3 (c) 5 (d) -28253 (e) 2\/11 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 305714203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i + 39. Let c be ((-9)\/(-21))\/(2\/i). Determine w, given that 9*w**3 - 10*w**3 - 1 - w**3 - 2*w + 4*w**c + w**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o - 29*o + 6 + 18.\nAnswer: -46*o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17524?\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - 3*d - 1. Suppose -3*l = 3*u + 51, 2*u + 17 = 4*l - 17. Let s = 21 + u. Calculate the remainder when p(-2) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*b + 318. Suppose -4*m = m - b. Let d be 1\/1*((7 - -2) + -4). Solve -d*t = -0*t + m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 50\/9?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*v, -2*m + 3*v - 2 = -4*m. Let s be -3 + (6 - (4 - 1)). Factor -18*w**3 - 8\/5*w - 64\/5*w**2 + s + 162\/5*w**m.\nAnswer: 2*w*(w - 1)*(9*w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -694.79 + -110.71958.\nAnswer: -805.50958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + 0*c)*(8*c - 6*c + 2*c) - 3*c**2 + 4*c**2 - 2*c**2 - 3*c**2 + c**2 + 4*c**2 + (5 - 5 + c)*((-1 + 1 + 2*c)*(-4 + 3 + 3) + 4 - 4 - 2*c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 29*f**2 - 122*f - 6. Let m be o(-23). Let u = -726 + 1363. Let a = u + m. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*g + 3*g - 10, -v + 2 = -g. Let m be 136\/70 + 40\/700. Solve 2*c - m = 2*s - g, 2*c - 6 = -2*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g\/(g**(-1\/2)*g)*g*(g*g**2)\/g*g)\/(g**(-1\/4))**(-43\/3))**43)**26 assuming g is positive.\nAnswer: g**(26273\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let m be v(-1). Suppose h + 3 = m*h. Suppose 0 = -3*j + h*u + 72, -4*u + 5*u - 4 = 0. Solve -2*w + 20 = -4*p, 5*w - j = w + 4*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -53, -41, -7, 55, 151, 287?\n\"Answer: l**3 + 2*l**2 - 17*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 30*k. Let w(l) be the second derivative of l**4\/6 - 2*l - 14. Determine w(b(d)).\nAnswer: 1800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.35 - 1.65. What is the closest to -1 in 2\/7, 0.73, 1, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/35 (b) 6 (c) 0.4 (d) -583.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:12 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 75, 99*m - 678*m + 14460 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -904720 and -18?\nAnswer: 16284960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1705737 or 1705724?\nAnswer: 1705737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -5 - (-336)\/(-80). Let b(y) = -y**3 - 2*y**2 + 3*y - 1. Let d be b(2). Let i = -12 - d. Is k >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/56628 and -61\/12154428.\nAnswer: 133698708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-1*-18. What is the greatest common factor of 99 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/20 + 7*q**4\/6 - q**2 + q - 239. What is k(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 30 + 66. Suppose -5*m + m + d = 0. Suppose -2*l = -2*z - 20, 5*z + 20 = l + 2*l. What is the remainder when l is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, -3*u - 2*u = -2*z - 80. Let g = 232 + -104. What is the greatest common factor of g and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22664415841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 + 7*w - 3. Let a be r(6). Sort a, 0, 1 in increasing order.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 3 - 6*m**2 + 13*m**2 + 6*m**2 in the form j + u*m**2 + w*m and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2011240244?\nAnswer: 2011240302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjeaej. What is prob of picking 1 j and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.5114 + -0.9886. Let n = -15.1 - -0.1. Let l = z - n. Which is the closest to 4? (a) l (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 134?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -664 + 736. What is the remainder when 287 is divided by k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1326)\/306)\/((-1)\/(-3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3215 + -3215.0002979. What is t rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10717049\/432 + -24808. Calculate the common denominator of 137\/552 and t.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (131 - 186) + (-16 - -92)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**2*i**3 - 3*a**2*i**2 - 1350*a**2*i - a**2 + 10685371*a*i**3 wrt a?\nAnswer: -30*i**3 - 6*i**2 - 2700*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/1107)\/(1\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 19 - (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 23*y**2 - 17*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*a = 65 + 30, 5 = 5*a. Let n be -3 + 3 - 1\/(-2). Sort 3\/7, -0.2, t, n in ascending order.\nAnswer: -0.2, 3\/7, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 - 2*g**2 - 800 + 6*g**2 - 80*g - 6*g**2.\nAnswer: -2*(g + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -1\/5 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + 30. Let w = t + 128. What are the prime factors of w?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 25. Calculate the lowest common multiple of c and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 - 5*f**2 + 3*f - 9. Suppose 2*q = -q - 9. Let v(h) = -2*h**3 - 3*h**2 + 2*h - 5. Suppose 0 = 20*t - t - 95. Calculate q*z(r) + t*v(r).\nAnswer: -r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386 and 30301?\nAnswer: 60602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143\/320 + 3\/64. Which is the smallest value? (a) 2 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3210 - -6332. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 152\/36 + 8\/(-36) - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 - 151. What is the third derivative of 0*n**3 + 8*n**3 + 10 - 9*n**3 - 18*n**3 + v*n**2 - 19*n**3 wrt n?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, g: 12, m: 1}. Give prob of picking 2 u and 2 g.\nAnswer: 462\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**4\/12 - 155*z**3\/3 + 4805*z**2\/2 + 32*z - 41. Let l(j) be the first derivative of r(j). Factor l(c).\nAnswer: 5*(c - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59\/5 + -12. What is the closest to -0.5 in 0.1, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 1033 = 4*v - 1036, -3*v = -3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/10)\/(g\/(g**(-10)\/g))*(g**(-1)\/g)\/(g\/(g*g*((g\/g**(-15\/2))\/g*g)\/g)) assuming g is positive.\nAnswer: g**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.05. Let m = q + 0.35. Let h = 0.4 - m. Which is the second smallest value? (a) h (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4084747 decades?\nAnswer: 0.04084747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 5. Let x be -3*(24\/6 - 14\/3). Let m(n) = x*n + 3*n + 2 - 6*n. Calculate 2*h(g) + 5*m(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*(-14 + 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m = 4*q - 152, -4*q + 4*m + 148 = 0. Let w = q + 3. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 12*z + 29 = -w, 0 = 5*z + 5*w + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.78595 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.1 - -17. Let r = 0.1 - 3.1. Let a = z - r. Put -0.2, 2, a in decreasing order.\nAnswer: 2, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 13*d + 8*d + 20, 0 = -4*i - 2*d + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 176579784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144476 (base 8) in base 15?\nAnswer: 103e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 3*i. Let h(s) be the first derivative of s**3\/3 + s**2\/2 - 2. Let v(d) = 6*h(d) + y(d). List the prime factors of v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-403)\/(-9) - (-8)\/36. Let t = 68 - c. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6575, -4, -2 in increasing order.\nAnswer: -6575, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -1. Let s be (-8 - -1)*(1 - 2). Let j be 1\/s*(-28)\/(-24). Which is the nearest to 0.1? (a) j (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (6 - 5))*(-2 - -3). Suppose -2*r + 16 = s*d, -5*d + 3*d + 8 = r. Calculate the highest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*v**4 + 25*v**3 + 143*v**2 - 323929*v.\nAnswer: 420*v**2 + 150*v + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3296, -2033, -770?\n\"Answer: 1263*t - 4559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7074 - -0.6074. Let z(q) = -q**3 - 5*q**2 - 6*q - 5. Let u be z(-4). Is u equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -34\/53, -1865 in increasing order.\nAnswer: -1865, -34\/53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 510 + 1?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/14132 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (159\/(10494\/110))\/(5\/186)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744 = o - 26*p + 22*p, -3*o - 5*p = 2300. Is -761 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72784.02566 + -1082.\nAnswer: 71702.02566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-340))\/((-6)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -40*x + 3. Let c(w) = -7*w + 6. Let o(m) = -64*m + 43. Let v(t) = 56*c(t) - 8*o(t). Determine 8*g(y) + 3*v(y).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)\/(2202\/31929).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 92096478*f.\nAnswer: -3*f*(f - 30698826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13170*x**2 + 1311*x**2 - 3822*x**2.\nAnswer: -15681*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 145.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 - 20*b**2\/3 + 22*b\/3.\nAnswer: -2*b*(b - 1)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131123 + -11220?\nAnswer: 113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4 = 3. Let n be 0*4\/12*k. List the prime factors of 45\/(n + 9\/6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.206, -25 in increasing order.\nAnswer: -25, -3, 0.206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-14))\/i)**5\/(i*(i**(18\/7)*i)\/i)**(1\/47) assuming i is positive.\nAnswer: i**(-23055\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 59. Calculate v(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2815.4 + 2817.4. Let m be (2\/25)\/(6\/10). What is the nearest to -1\/4 in m, i, 1\/4, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 711382*n**3 - 460572*n**2 - 2*n wrt n?\nAnswer: 4268292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10050 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 6*l - 314. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 141737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 15. Let s be 5\/(1375\/380) + x\/11. What is b in 1\/5 + 9\/5*b**2 + s*b = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1065*d - 3 + 1019*d)*(d + 4*d - 4*d)*(d**2 - d**2 - d**2).\nAnswer: 46*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 0.03 (c) -1\/2 (d) -178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7517, 0, -360, 2, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 255 = 3*k, -3*k + 0*k = -n - 271. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (-180)\/54. Sort -1\/7, -0.1, z in ascending order.\nAnswer: -1\/7, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248699 is divided by 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5493, -11186, -16879, -22572, -28265, -33958?\nAnswer: -39651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h - 7. Let k(j) = -3*j + 6. Let l be k(4). Let n(s) = 3 + 2 - 6 + s. Let m = 145 - 144. Give l*n(i) + m*b(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31. Suppose k = -c, t - 4*c + 1 - 6 = 0. Suppose 2*x - 4*o - 586 = 0, t*x + 2*o - 1479 = -2*o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/f*f\/f**(-1)*f)\/(f\/(f*f*f**(1\/3)\/f*f))**(9\/8)*((f**(2\/3))**(-14))**42 assuming f is positive.\nAnswer: f**(-1555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 108572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2009*v + 90898. Let q be l(-45). Suppose -2*o - 3*i + 110 = 2*o, -2*i = 5*o - 141. What is the greatest common divisor of o and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10306 + 10303. What is the closest to 0.4 in 1, y, 2\/7, -0.058?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5198660 is divided by 561?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 28 = -0*s + s, 2*s = 2*z - 24. Calculate the remainder when (-3)\/(-3)*21 + 5 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/(-11) + (-8)\/44. Let p = -3 - x. Factor 0 - p - 18*q**2 - q**4 + 8*q**3 - q**3 + 20*q - 1.\nAnswer: -(q - 2)**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5 + 9750*q**4 - 186655*q**3 + 788100*q**2 + 984500*q = 0.\nAnswer: -1969, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64152 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a - 34 = 3*n - 68*a, -5*n + 4*a = -a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212088 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*g**2 - 18*g - 6 wrt g.\nAnswer: -484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from fxfsuu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231847221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (-3)\/2*420\/(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967273317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1916 at least -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 + 4*t**2 + 4*t**2 - 16*t**2 + 4*t**2. Let m(k) = 2*k + k + k. What is n(m(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 5) to base 6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(468))**2 - (sqrt(468) + sqrt(468) + (sqrt(468) + (sqrt(468) + -1)*-2)**2 + sqrt(468)))*4.\nAnswer: -8 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*g**3 - 79*g**3 + 158*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -13394 = -13394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p**5 + 112*p**4 - 1320*p**3 + 5*p + 2125128?\nAnswer: -200*p**3 + 1344*p**2 - 7920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1550 + -1088. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u. Suppose -5*p - 20 = 4*v + 31, 0 = 3*p + 5*v + 28. Let m(g) = 4*g - 11. Let x(l) = -2*l + 6. Let w(c) = p*x(c) - 6*m(c). Determine w(z(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - (-20)\/6. Let a(s) = s - w*s - 1 + 4*s + 0. Suppose 0 = 8*c - 294 + 326. What is a(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -67\/2, -1.2, -2\/9, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let s(o) = 67*o + 57. Let d be s(5). Let a = -389 + d. Let l(w) = 2*w**3 - 3*w**2 + 2*w. Determine a*n(y) - l(y).\nAnswer: -2*y**3 + 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103235877 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or -2.01?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-9)*((c*c**(-5)\/c)\/c)\/c*(c\/c**(-2\/7))**(1\/76) assuming c is positive.\nAnswer: c**(1605\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 368, -50, 3, 20, 4 in decreasing order.\nAnswer: 368, 20, 4, 3, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 263*x - 527. Calculate u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139198 - 26169327\/188. Let t = -14\/47 - f. Suppose -h + t*h**2 + 1 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -28. Sort n, 3, -2 in ascending order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**2 - 6*u**2 + 2*u**2)*(3*u + 0*u - u) as h*u**2 + o*u + i + b*u**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 26. Let m be c(-7). Suppose 0 = -18*k + m*k. Suppose -191 = -6*r + 4*r - p, k = 3*r + 4*p - 294. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*(((((u\/(u*u*u**(-1\/14)))\/u*u)\/u*u)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-80))\/((-1)\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70767 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 2*j - 85 - 2*j in the form g + a*j and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 620 + 3039. Is d a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f**2 + 27*f - 5. Let o be m(3). Let l = 330 - o. Solve u + l = 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328*j**2 + 217?\nAnswer: 656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 25*y**3\/3 - 2*y. Let j(q) = -13*q - 23*q + 43*q. Let w(k) = -3*i(k) + 20*j(k). Let t(z) = -2*z**2. Give w(t(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 23*z - 52. Determine t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Suppose -l + n = -120. Suppose -w + l = 5*u, 135 = 5*u - 3*w + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172 - 19. Let j = -191.0000109 - x. What is j rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 526\/11 + -48. Which is the third biggest value? (a) i (b) 4\/5 (c) -7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = 2*g, -2*g - 3*n - 3 = 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1 + (1 - 1 - 2)*(-1 + 0 + 0) - 8 - 5 + 4 + (-14 + 3 - 3)*(-6 + 1 + 0))*(0*p + 3*p - p) to h + j*p and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, k: 2, o: 4}. Give prob of sequence otk.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 + 116.34. Let v = 117.00131 - c. What is v rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k - 3. Let o(q) = -q + 1. Let x be o(k). Solve -x*s = 4*m + 16, -m + 4 = 3*m - s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 12 + 37. Suppose -2*g + 2 = -2*r, 5*r + 4*g + 1 + b = 0. Let u = -463\/4 + 115. What is the third biggest value in u, 2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/(2\/((-224)\/4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229 is divided by 373?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18708556?\nAnswer: 2, 4677139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385149 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18060077.\nAnswer: 7, 59, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -13\/2, 0.009, -1\/3, 5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-189)*3)\/((-4)\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (10 - 12 - (0 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Let m be a(-16). Let r be ((-16)\/10)\/(m\/30). Solve -2*p**3 + 7*p**3 + 5*p**5 - 2*p**2 - 10*p + 15*p**r - 13*p**2 + 0*p**3 = 0 for p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + i + 2*c - 41, -1314*i + 2*c = -1311*i - 31 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 8*b + 966. List the prime factors of b.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 45. Suppose -3*b + 4*a + m = 0, -4*b + 6*b - 5*a - 30 = 0. What is the highest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -26. Does 21 divide 985\/i + 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 658335 and 15?\nAnswer: 658335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 116349 + 0.028?\nAnswer: 116349.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((3 - 0) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 - t. Calculate x(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1493835354+-1988\nAnswer: -1988.1493835354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342 - 492. Let v = 144 + m. Which is the second biggest value? (a) -5 (b) v (c) 0.09 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 1008*j - 6089. Let p(v) = -2*v. What is k(p(i))?\nAnswer: -8*i**2 + 2016*i - 6089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Suppose -m*l + l + 3*n = -59, -5*n = 4*l - 202. Suppose -3*a - x = -554, 0 = -a + 4*x + l + 110. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2400) - -5*1*sqrt(2400)))\/(((sqrt(72) - (-1*sqrt(72) - sqrt(72))*6) + sqrt(72) - sqrt(72))\/(sqrt(294)*2 - sqrt(6))).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3087*k - 3084*k - 15, -3*p + 11 = k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/6)\/f*f))**(3\/26)\/((f*f**(-6\/17))\/(f\/(f*f**20)*f)) assuming f is positive.\nAnswer: f**(-17249\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37440 = 442*a - 532*a + 570*a for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26*b**2 - 2*b + 4. Let w(m) = m - 2. Give j(a) + 2*w(a).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -17. Let k = l - 14. Is 5 a factor of k\/(110\/(-36) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -30. Let y = u - -28. What is the closest to -1 in y, 0, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 67?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-32))\/(12\/36)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 99, 145, 229, 363, 559, 829?\n\"Answer: 2*o**3 + o**2 + 3*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + 1.97. Let p = r + -2.3. Let l = -0.2 + 0.2. Which is the second smallest value? (a) l (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 - 15*z**2 + 16*z + 2. Let b(o) = 15*o**3 - 30*o**2 + 34*o + 4. Determine 6*b(a) - 13*q(a).\nAnswer: -a**3 + 15*a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u + 13825 - 13825. Let s(c) = 6*c**2 - 7. Let b(h) = h**2 + 1 - 5*h**2 + 3*h**2. Let v(x) = -14*b(x) - 2*s(x). What is v(d(a))?\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1\/60*o**5 + 0 - 2\/9*o**3 - 1\/360*o**6 + 0*o + 0*o**4 + 3*o**2. Factor m(w).\nAnswer: -(w - 2)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 12392?\nAnswer: 37176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 12 = -3*j. Suppose -249 = -5*b + 2*h, 0*h + 3*h - j = -b. Let n = b + -36. Solve 4*w + n = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*r - 21*r = 176 + 424. Solve -4*k = r*u + 24, 0 = -3*k - 5*u + 345 - 368 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -760933*o**2 - 386281.\nAnswer: -1521866*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 - 5094 = -19*m. Calculate the lowest common multiple of m and 120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2.3 (c) -4\/3 (d) 1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 530*b + 2. Let a(j) = 17*j**2. What is a(g(l))?\nAnswer: 4775300*l**2 + 36040*l + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 2.6618136\nAnswer: -2.6918136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636265 (base 7) in base 5?\nAnswer: 24243042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000110111 (base 2) to base 14\nAnswer: -2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283 - -16693\/59. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/((-170)\/(-22525))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {l: 5, i: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 7*z - 3. Suppose -2 = -0*n - n. Let w(o) = -13*o + 1 + n - 9 - 2*o**2. Let h(p) = 7*k(p) - 4*w(p). What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 5. Let j(v) = 5*v**2 - 45*v - 311. Let m(i) = j(i) + 4*x(i). Find the first derivative of m(g) wrt g.\nAnswer: 10*g - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155857.\nAnswer: 13, 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 11*y - 11. Let u(z) = z - 1. Let v(k) = 2*r(k) - 22*u(k). Let m(c) = -3*c**2. What is m(v(g))?\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230\/31 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 5*v + 3. Let p be l(-3). Suppose 0 = 2*r - 5*t + 34, -2*r - t = t + p. What is the remainder when 14 is divided by (-8)\/28 - 58\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 305, 612, 919, 1226, 1533, 1840?\n\"Answer: 307*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 1. Let j(t) = -31*t**2 + 6*t + 7. Let p be j(-1). Let a(v) = v**3 - 6*v**2 - 6. Give p*z(h) - 5*a(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126193530?\nAnswer: 2, 3, 5, 53, 79367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 10460 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 13. Let w be h(12). Let y = -241\/66 - -42\/11. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-1085)\/14)\/31)\/((-149)\/(-298)))\/((-10)\/(-146)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46326, 46331, 46340, 46353, 46370, 46391, 46416?\nAnswer: 46445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -759 plus -0.25862?\nAnswer: -759.25862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -30) + -100 + 39\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Suppose -b - p = -j*p - 10, -b + 13 = 2*p. Let u = b - 6. Solve -m = 2 + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z = 67*z + 3*q + 2, 4*z - 2*q - 16 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29536*s. Let x(i) be the third derivative of -203*i**4\/24 - 16*i**2. Let o(u) = 5*f(u) - 728*x(u). Let a(y) = -4*y. Calculate o(a(k)).\nAnswer: -416*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s**2 - 4\/45*s**3 + 0*s**5 + 0*s - 1\/45*s**6 - 41 + 1\/10*s**4. Determine o so that d(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - -848. Let n = m + -910. Which is the second biggest value? (a) n (b) -0.4 (c) 0.5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1224691, 2449396, 3674101, 4898806?\n\"Answer: 1224705*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 20 = 0. Suppose u*j + 0*j + 160 = 0. Let x = -12 - j. What is the lowest common multiple of x and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/24*21\/(-7)*(-180)\/(-270).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*(-17)\/4352)\/((-126)\/(-864))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13919 and 2263858?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100206, 200461, 300716?\n\"Answer: 100255*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.138 - -3.942. Let w = 0.08 - o. Let d = -7 - -2. What is the second smallest value in d, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.2764 or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 3*y)*(-3 + 4 - 3)*(0*y + 0*y - 3*y)*(4*y**2 - y**2 + 3*y**2).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.1, -858.85 in descending order.\nAnswer: -0.1, -1\/4, -858.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -5. Suppose -3*w = 5*s - 6*w + 3024, 5*s + 3020 = r*w. Let u = s - -943. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**3*v**3 + 2*c**3*x + c**2*v**2 - c**2*x**2 - 63*c*v**3*x**2 - 8*v**2 wrt v.\nAnswer: 66*c**3 - 378*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20791743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 2}. What is prob of sequence kb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.91852 to 2 dps.\nAnswer: 9.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30497627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70636*d**3*x**2 - d**3*x + 271*d**2*x**2 + 22*d**2*x + d*x**2 + 61819*d*x wrt x?\nAnswer: 141272*d**3 + 542*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5431601*o - o**2 - 10863215*o + 5431614*o + 0*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x**4 + 0*x**5 - 2 + 0*x**2 + 1\/2*x**6 - 1\/3*x**3 + 0*x. What is the third derivative of m(p) wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 8) in base 16?\nAnswer: f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7 + 3*v + 3 + 3*v - 5*v**2 + 4*v**2. Let m be p(5). Solve -2*j = 4, -3*j - 3 + m = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209.0000000241 - 209. What is o rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*1 + 1)*-1*-1 + -5)**2*3*3.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.416066 rounded to three dps?\nAnswer: -0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/2)*73\/(-146)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = -3*t + 35, 3*t + 5 = 4*k. Let q be (4 + -3)*(1 - -1). Solve k*a = g - 3*g - 7, 5*a = 3*g - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30820773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.744149 millilitres in litres?\nAnswer: 0.004744149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178\/21 + 48\/7. Calculate the common denominator of 1 - ((-188)\/12 + 0) and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (4\/(-22) - -1). Sort -2, g, -5 in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -o + 6, 0*o + 12 = 2*o - f. Suppose o*h + 2873 = p + 2*h, 4*h = 20. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 95 = 5*j. Let x = -3569 + 4390.9. Let v = x - 822. Put 1\/2, v, j in ascending order.\nAnswer: j, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 2, c: 2}. Give prob of sequence tuc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -51, -76, -103, -132, -163, -196?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.5 + 25. Let r = 2 + -1. Put p, r, 2\/3 in decreasing order.\nAnswer: r, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 264*w**3 + 6597*w**2\/5 + 1581*w - 18\/5 = 0.\nAnswer: -3, -2, 1\/440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16220.829 minutes in hours?\nAnswer: 270.34715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(((-6)\/8)\/(-1)). Let f = -11 + 16. Let k be 0 + f\/1 - 1. Solve -y = 5*q - 4*j, k = -5*q + 3*j - j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {c: 4, t: 4, p: 9, w: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:53 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(11 + 10 + -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -71. Solve o*h + 3 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 25*v**2 - 10*v - 6. Let q(y) = -17*y**2 + 7*y + 4. Calculate 5*k(g) + 7*q(g).\nAnswer: 6*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-210)*8*(-14)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 7\/(35\/52405) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322 (base 4) in base 6?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10816168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let h be i(-4). What are the prime factors of 2*(h - 395\/(-10))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*-21.2\nAnswer: -720.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26999eb - 11?\nAnswer: -2699a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t**(-1\/3)*t)\/t)\/t)**(3\/11)\/(t**(-1\/5)*t**(-6)*t))\/((t\/(t**(-2)\/t*t))**(7\/4)*(t\/(t*t**5*t))\/(t*t\/t**(3\/5)*t*t)) assuming t is positive.\nAnswer: t**(2037\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 4 - (-10 - -1). What is the first derivative of -7 - 10 + 0 + 4 + l*m wrt m?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3 + (-4)\/(-6). Differentiate 2 + 7*k**3 + 3 - 6 - l with respect to k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1872, 2009, 2242, 2577, 3020, 3577, 4254, 5057?\nAnswer: 5992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109, -220, -331, -442?\n\"Answer: -111*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g*g**(2\/113)*g*g*(g\/((((g*g*g\/(g*(g*g**6)\/g)*g)\/g)\/g)\/g*g))\/g*g*g*g\/((g\/(g*g**(-21)))\/g))**(-2\/5) assuming g is positive.\nAnswer: g**(858\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1. Let x(w) = -2*w + 3. Let d(s) = -s**2 + 2*s + 6. Suppose 5 = 2*r - 3. Let i be d(r). Let v(k) = i*c(k) + x(k). What is v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, d: 2, z: 2, v: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2 + 3*w - 4. Let d be u(3). Let m be (1 - -1)*6\/d. What is the tens digit of (-1)\/m + 87\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2696372 and 65\/288897?\nAnswer: 8089116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21602 by -3086.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33746*y + 67311*y + 9360 = 33709*y for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264303 (base 7) to base 16.\nAnswer: -c186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 6 (c) -2\/19 (d) 744 (e) -1.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 391.874 + -8.774. What is w rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94551*i + 31521*i + 31518*i + 31527*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424816 is divided by 175.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y - 3858. What are the prime factors of y?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j - 1. Let v be b(0). Suppose 0*r + 4*r + 12 = 0. Sort r, v, 4 in descending order.\nAnswer: 4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24037303.\nAnswer: 17, 1413959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/2 + 647295*d**3\/2 - 104750617037*d**2\/2 + 942712185045*d\/2 - 733213540143 = 0. Calculate d.\nAnswer: 2, 7, 323643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 62*g**2 - 59*g + 122.\nAnswer: -(g - 1)*(g + 2)*(g + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/426 and -97\/10.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*y + 309 = 0, -2*y = -4*i - 6*y + 244. Let x = i - 47. Suppose 0 = -4*n + 2*n + 396. Calculate the highest common divisor of n and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -49, -12, -14, -1 in decreasing order.\nAnswer: 5, -1, -3, -12, -14, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = i - 0 + 20, 3*i - 8 = -2*c. Which is smaller: -8\/33 or i?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2) + 15\/3. Suppose -2*p = -4*n + 18, -4*n + p + 22 - z = 0. Solve g + 5*q - 17 = -n*g, -6 = -g - 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 7. Let u = -8.9 - -12.8. Let i = -0.1 - u. Which is the nearest to 0? (a) i (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 535, 1190, 2103?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h + 7494 + 5*h - 7494 + 23*h - 889*h**3 wrt h?\nAnswer: -5334*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 - 5 = 0, -v + 3*d + 9 = 0. Solve 2*q = -0*y - y - 6, v = -3*q + y - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68520811 or 1\/6?\nAnswer: -68520811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 15. Let t be a(-13). Is t*(-62)\/4*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60617000 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 divided by 7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 645 + -645. Suppose n = -3*c + 2*l + 88, -5*l = 28*c - 24*c - 125. Suppose -5*v = 5, -4*r - v = v - 142. Calculate the least common multiple of r and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 - 14*d - 14. Let x(z) = z + 1. Calculate u(h) + 14*x(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l**3 - 15*l**2 - 11\/4*l**4 + 26 + 0*l. What is the second derivative of x(a) wrt a?\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43444 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5375 - 72.7685. Let d = u + 13.421. Let n = -59 - d. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*1\/5*20\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 174*h\/11 + 39728\/11.\nAnswer: -2*(h - 104)*(h + 191)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 7, 3 in decreasing order.\nAnswer: 7, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13543 + 1.13543. What is the closest to q in -5, -6, -3\/7, -23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11*p = -168. Solve p = -4*a + 3*s, 3*s = -0*s + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 5*g**2 + 10*g**2 + 6*g**2 - 28*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1408515, -2817036, -4225563, -5634096?\n\"Answer: -3*v**2 - 1408512*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3103*(6 - 3586\/594) + 2\/(-27) + 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*f**3 + 2463*f**3 - 3389*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*c*z**2 - 949*c*z + 1323*z**2 + 10*z + 10 wrt z.\nAnswer: 204*c + 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose 4*g = -5*y - 31, -g = -y - r*g - 6. Let b = y - -21. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -133, 3 in decreasing order.\nAnswer: 3, -97, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.9, -1, -0.4, 4, 2, -10?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let q(p) = 56*p**2 - 26*p - 15. Let t(m) = 25*m**2 - 11*m - 7. Let v(l) = -4*q(l) + 9*t(l). Give 15*h(i) + 3*v(i).\nAnswer: 3*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5373400 and 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 546 and 810992?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673601 divided by 2.\nAnswer: -1673601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 4) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 15\/13, 1\/2, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 54, -293, -3, -1, 3 in decreasing order.\nAnswer: 54, 5, 3, 2, -1, -3, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*k - 71369, 426*k - 429*k = 4*w - 57109. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573794.\nAnswer: 2, 13, 29, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100000111100111111 - 111111111?\nAnswer: -11100001000100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 + 3*q - 65. Let n be r(7). Solve n*t + 2 + 11 = 3*w, 0 = w + 5*t + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189508, -379706, -569900, -760090, -950276, -1140458, -1330636?\nAnswer: -1520810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 130296, 261837, 393374, 524907, 656436?\n\"Answer: -2*z**2 + 131547*z - 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000735993456 rounded to 7 decimal places?\nAnswer: -0.0000736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8077972279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u**3*y**2 + 311112*u**3 + 19*u**2 - 125942*u*y**2 wrt u?\nAnswer: 66*y**2 + 1866672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) - (sqrt(17) + 2)**2) + (0 + sqrt(425))**2 + sqrt(425).\nAnswer: -10*sqrt(17) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-9) - 2184\/1404?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*w**3 - 225 - 143*w**3 - 177*w**3 to b*w**3 + y + v*w**2 + p*w and give y.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 4*s - 8*s)*(-s + s**3 + s) + (2*s**2 + s**3 - 2*s**2)*(-6*s + 2*s + 3*s).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - 0.28. Let k = t + 0.74. Which is the nearest to -1\/2? (a) -3 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19458539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3100?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b382 + -94?\nAnswer: -b436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3159 + 3154. Which is the second biggest value? (a) 1 (b) o (c) 2\/233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-7 - -7)) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -908 - -1047. Suppose -18*o + 293 = -d. Solve 9*z = 12 + o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -901\/4 - -15349\/68. Sort 2\/3, p, 0.1 in ascending order.\nAnswer: 0.1, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 7*y**2 - 5*y + 5. Let k be f(-6). Let j = 10 - k. Solve w = -5*q + j, 5*q = -5*w + 2 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 7*g + 784. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, -378, -968, -1558, -2148, -2738?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2543, -9\/5, 5.64 in descending order.\nAnswer: 5.64, -9\/5, -2543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b + 12 = 0, 0 = d + b + 3. Let w(x) = x**2 + 6*x + 8. Let s be w(d). Suppose -1 = -4*v + s. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6109 - -6109.4. What is the nearest to 36 in -0.1, v, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*(-2*w - w - 3*w)*(-4*w**2 + 3*w**2 + 0*w**2)*(-1 + 0 + 0).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 2*n**2 - 6*n + 1. Let q(g) = g - 1. Let v(k) = c(k) + 4*q(k). Does 24 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68848 + 68857. Let s be (-19)\/(-2) - 2\/4. Is c less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -5*h, 0*s + 3*s - 7 = -h. Let g(o) = 0*o**s - 2653*o**3 + 2 + 0*o**2 + 2654*o**3. What is g(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 253 + (70 - 276) + (-1 - 15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24828*x**3 - 3*x**2 + x - 1351453 with respect to x.\nAnswer: 74484*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10 + (-1099)\/10)*-2. Let o = -153 + j. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180422013713 + 0.0931.\nAnswer: 180422013713.0931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 - 10*z**3 - 10*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (4 + (5 + -2*(sqrt(112)*2 - sqrt(112)))**2)*2.\nAnswer: -160*sqrt(7) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6865717*n**2 - 116388974 with respect to n.\nAnswer: 13731434*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98584\/1989 + 446\/9. Let s be 8790\/(-5525) + 2 + -1. Let x = s + u. What is the closest to -1\/3 in x, 3\/8, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21128 (base 12) to base 11.\nAnswer: -2a653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(88\/(-12))*2\/(-3). Let c = -9 + -19. Let s be 8\/(-2)*(-35)\/c. What is the closest to -1 in r, 4\/7, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 276, 437, 622, 831, 1064, 1321?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 7. Let w be (-3 - 1) + 21 + -4. Solve -5*q + s = i, -2*q = -q + 4*i - w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(9\/7)*c**(-5\/6)*(c**(2\/9))**(-25) assuming c is positive.\nAnswer: c**(-841\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 + 17*f - 6. Let v(h) = -3*h**2 - 8*h + 3. Let q(j) = 4*p(j) + 9*v(j). Let m be q(2). Put m, 1, 2 in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.0984 millennia to decades.\nAnswer: 67409.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8225027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 1. Let j(r) = -108*r**2 - 2. What is -j(w) + 2*z(w)?\nAnswer: 106*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 36*a**2 + 2*a - 4. Let d(s) = s**2 - 1. Let h(f) = -6*d(f) + r(f). Let u be h(-1). Suppose 12*o - u = 7*o. Let v(w) = w - 12. What is v(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23801 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716331 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 752 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*p - 30 = 0, 0 = 2*c - c + 3*p - 13. Suppose -3*m - 8 = 43. Let q = c + m. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*d + 415*d - 638*d**2 - 814*d as m*d**2 + b + f*d and give m.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3783999?\nAnswer: 3, 1261333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.03263 micrograms in kilograms?\nAnswer: 0.00000000303263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -401 + 3?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a73 (base 13) in base 10?\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557314961 is divided by 454.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 0, -2*n + 14 = 3*c - 88. Let m = n - 30. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -0.01 (c) -0.4 (d) -2\/221 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 - 8*g**3 + g**2 - 3*g + 2*g**3 + 7*g**3. Suppose 4*m + 1 + 23 = -4*c, 2*m = 4*c + 12. What is k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 8*k**2 + 6*k + 2. Let z be c(-9). Suppose -18*n = -z*n + 1463. List the prime factors of n.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from {d: 6, r: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/3)*x)*x)**10*x\/(x\/(x*x**(-2\/9)))*((x*x\/(x\/(x*(x*x**1)\/x)))\/x)\/x)**20 assuming x is positive.\nAnswer: x**(-880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1425 + -15?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-21*c - 7*c - 7 - 8*c + 43*c).\nAnswer: -7*c + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let a(w) = -w + 360 - 660 + 376. Calculate v(a(y)).\nAnswer: y - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7 = -19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-14))\/(108\/(-126)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 295\/7. Let r = -7 - -8.02. Let u = -0.02 + r. Which is the second smallest value? (a) z (b) 6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/120 + y**4\/12 - 5*y**3\/6 + 13*y. Let c(u) be the second derivative of k(u). Find the first derivative of c(a) wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.4. Let n be (2\/(-3))\/(-2 + 4). Sort 3\/4, z, n in descending order.\nAnswer: 3\/4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*d + 2*d + 8, -6 = -2*d. Let p be 4 - (5\/((-20)\/(-12)) + a). Solve x = 2*x + p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 - 52*c**2 - 37*c + 49. What is the remainder when 4139 is divided by d(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25920)\/(-89856)*48\/(-10)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961590151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2556 - 1406. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 14*f**2 - 24*f - 10. Determine c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -5. Let x = 2483.9 - 2484. What is the closest to x in -0.5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -3, 6 = -i + 4*g. Let m be i*1 + (-2 - -2). Suppose 4*q + m*b - 28 = 12, -5*q + 52 = 2*b. Calculate the remainder when 30 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14284a0 - -7?\nAnswer: -1428495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 831.9557 - 832. Let b = d + -0.255. Let z = b - -0.3. Round z to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 74. Suppose 13 = 3*k - d. Let w(v) = v - 5. What is the units digit of w(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4\/5 - 154*x**3\/5 - 1624*x**2\/5 - 832*x = 0.\nAnswer: -65, -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/96)\/(9\/36)*12\/90*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 14335104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2 - 28*n + 70. Let p(k) = 4*k**2 + 8*k - 20. Let c(y) = 7*p(y) + 2*x(y). Let s(z) = 89*z**2 + 6*z. What is s(c(u))?\nAnswer: 356*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -141389 minus -0.36?\nAnswer: -141388.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21929 - 21929. Let q(h) be the third derivative of -1\/3*h**5 + a*h**3 + 0 + 0*h + 36*h**2 + 7\/24*h**4. What is the second derivative of q(k) wrt k?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 13) to base 12\nAnswer: -3a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120*-4138.\nAnswer: 496560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 746*x**2 - 52 + 34.\nAnswer: -746*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162 + -2?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*m - 1 - 2 = 0, -4*v = 2*m - 12. Find the first derivative of -3*h**3 + 6 + 3*h**v - h**3 wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 38. Calculate t(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-18))\/((-52)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 24. Suppose -16 = 2*o - 3*h, -3*h = o + 2*o - i. Let r = 6 - o. Solve -r*p - 20 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w + 1012 - 910 = 0. Let o = -0.2 + 0.1. Which is the closest to 0.1? (a) -4 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 173*f**3 + 658*f**2 - 63*f. Find the first derivative of p(n) wrt n.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 5, 0.001266, 0.4?\nAnswer: 0.001266","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 21606270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 5*y**2 - 6*y + 5. Let m be k(-6). What is the third derivative of -72*s**2 - 4*s**4 - s**4 + m*s**2 wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*n - 2 + (4*n - 2*n - 6*n)*(0 - 1 + 0))*(-94*n + 115*n - 52*n - 4) + (3 - 3 - n)*(-2 + 2 - 2*n) to the form u + l*n**2 + i*n and give l.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-1 + 2*t + 1) + 3 + 2*t - 3 - t - 3 + 3)*(-2 - 2*t + 2).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 21. Suppose -2*c + 4*m - 7 - 1 = 0, -m + 11 = c. Let z = 27 - 16. What is the remainder when z is divided by f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10175986 and 3646?\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34584 - -18964. What is n rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**26\/((t*t**(2\/7))\/t)**(-2) assuming t is positive.\nAnswer: t**(-724\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-4 - (2 + -27 + 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044, -2604, -4164, -5724, -7284, -8844?\nAnswer: -10404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2566315 divided by -73.\nAnswer: -35155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/3 - 2*g. Let z(k) = 3*k. Give z(f(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-750)\/(-105) - -4*(-5)\/140.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 246*m**3 - 3*m**2 - 8*m + 11. Is v(4) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6420 + 340*v - 6420)*(-8*v - 110 + 110).\nAnswer: -2720*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(190)*1 + sqrt(190))*-1)\/(4*sqrt(90)) + (sqrt(19) - sqrt(133)\/(1*sqrt(7))) + (-2*sqrt(228))\/sqrt(12))*-5.\nAnswer: -2 + 65*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -26.\nAnswer: -17\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-4) - -4*2. Suppose -i = 5*c - 41, 5*c = 3*i - r + 47. Let q = c - 9. Let a(f) = f + 1. Determine a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -25. Let y = 9.48 + -0.18. Let l = s + y. Which is the nearest to -1? (a) 5\/4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*g**2 - 211*g**2 + g**6 + g**3 - 41*g**6 - g**3 wrt g?\nAnswer: -4800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 9. Let i(h) = -5*h - 3 + 7 + 0 + 5. Let y(z) = 6*a(z) + 7*i(z). What is the tens digit of y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:26 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/((-2)\/(-1204)*86)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267257\/83 - -3220. Let x = t - -157\/249. Let g = -117\/7 - -17. Which is the smallest value? (a) -1\/4 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -785 (base 9) to base 2.\nAnswer: -1010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + r**5\/30 - 6*r**2. Solve y(m) = 0 for m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-8 - (3 - 17)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -53 - 57. Suppose 3*v = s + 4*s - 15, 0 = 5*s - 5*v - 15. Suppose t + k = s*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 1, m: 1, k: 1, y: 2, c: 3, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 18*t - 161. Is 6 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 2\/13 (c) -0.1 (d) 0.49 (e) 3.57 (f) -0.5 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -10\/97 (c) 1042.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 92073*a**3 + 32 - 13 + 92162*a**3.\nAnswer: 89*a**3 + 23*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 21 = 4*o - 4*b, b - 3 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let h(j) be the third derivative of 1877*j**4\/4 + j**2 + 16*j + 4. Determine r(h(x)).\nAnswer: -253665288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11769142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, -2 in ascending order.\nAnswer: -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2 (c) 4 (d) -0.4286 (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -453, 1, 0.4, 0.1, 0.\nAnswer: -453, 0, 0.1, 1\/6, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 4*v**2 + 11*v**3 + v**2. Let t be d(1). Suppose t = -0*b + 4*b. Solve 3*o - b = -2*q + 2, 4*o = -2*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*r**5 - 49*r**2 + 363*r**3 - 363*r**3 wrt r?\nAnswer: -1680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/9 (b) -0.14 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - a - 3. Let d = 15 - 13. Let z(y) = 4 - d - 1. Determine -f(n) - 3*z(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/176 and -149\/198?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*i = -256, 437 = 2*l - 4*i - 131. Let c = -269 + l. What is the highest common divisor of 49 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7181 - 7167. Sort 5, 3, -7, a.\nAnswer: -7, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.3 - -15. Let x = 298680 + -298678. Sort d, x, 3 in increasing order.\nAnswer: d, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-5) + 4886\/(-140) and 15\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.21 - 0.21. Let x = -11 + r. Which is the nearest to 2? (a) x (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3771098 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:12 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:24 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/14*(-2 + 0). Suppose 244 = -6*a - 93*a - 251. What is the nearest to t in 2\/5, a, -1\/6, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04186864 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - y - 7, -o - 7 = 340*y - 337*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 115. Calculate the lowest common multiple of j(-30) and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*o - 25, a + 1 = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/10 + v**3\/3 + v**2\/2 - 3*v. Let n be a(-4). Let y = n + -6. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 22. What is the remainder when 36 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -56543063?\nAnswer: 56543064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {m: 6, c: 1, j: 11}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6\/5*c**2 + 8\/5 + 4\/5*c**3 - 8\/5*c + 2\/5*c**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.61 (b) 0.11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*l**3 + 331 + 386 - 246*l**3.\nAnswer: -358*l**3 + 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173532 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(405) + 0) + sqrt(405) + 4*(sqrt(405) - (sqrt(405) - (sqrt(405) + -2))) - (-4 + 4 + 4 + sqrt(405)*-2))**2 + -3.\nAnswer: -2160*sqrt(5) + 40641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -53. Sort 1\/6, 5, 3, r in decreasing order.\nAnswer: 5, 3, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 582693, 582694, 582695, 582696?\n\"Answer: v + 582692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59236844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -995618791\/141988 + -1534\/35497. Let t = b + 7013. Calculate the common denominator of -31\/12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 4*a + 3. Let k be h(-4). Let b be 1\/(-1*k\/3). Let m be (7 - -243)\/(b\/1600). What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/30 and 109\/7910.\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 599 - 604. Let v(n) = 6*n**3 + 6*n**2 + 2*n. Let y(j) = -7*j**3 - 7*j**2 - 3*j. Calculate l*v(a) - 4*y(a).\nAnswer: -2*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 73. Let t be 2 - 18*s\/9. Which is the second biggest value? (a) 12 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = -24. Let g(r) = r**3 - 3*r + 10. Let f be g(3). Solve -4*j + 4*o = u*o - 10, 4*j = 4*o + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x, -2*x - 3*x + 285 = 5*o. Let p = 123\/2 - o. What is z in -3*z**4 - p*z**2 - 5\/4*z**5 + 0 + 0*z - 9\/4*z**3 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -5)*(-3)\/6. Let n = 12 + f. Is 297 + n\/(4 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + r = -3*p - 10, 0 = -2*r - 2*p - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Suppose 2*n - 4*y = 4, 148*n = 146*n + 5*y. Let q(c) be the first derivative of n + 7\/3*c**3 + 0*c + 0*c**2. Give q(k(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-132)\/(-27280))\/(2 - (-3)\/(-4)). Let m = 18439\/1550 + g. Calculate the common denominator of m and 0 - (2 + (-79)\/16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 5 - (-2 + -4)\/(0 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 426\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/((-30)\/20). Let w = -190 - -197. Put w, s, -7 in descending order.\nAnswer: w, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 43*r - 401. Let c be l(-29). Sort c, -2, 0.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866353 is divided by 5725.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, -5\/3, -4622, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5952814 or -5952811?\nAnswer: -5952814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - -6. Which is bigger: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7699 + 7951. Solve -19*h = -r + 100 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 23657688?\nAnswer: 70973064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 - 48 - 3*w**2 + 37)*(-5*w + 3*w + w).\nAnswer: -4*w**3 + 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36992 - 103592. What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 15*s**2 - 18*s - 17. Let b be p(-16). Let w = b - -28. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 8*z**2 + 11*z - 18. Let j be v(9). Which is the third biggest value? (a) -5 (b) -1\/3 (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/((-9)\/30). Let c(t) = -3*t**3 + u + t - 1 - 2 + t**2. Let z be (-10)\/6 + (-2)\/(-3). Give c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20136587 to the nearest integer?\nAnswer: 4487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110994\/7 or -15857?\nAnswer: -110994\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, j: 8, u: 6}. Give prob of picking 2 x and 1 u.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269412 and 9438?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1045704 and 2376?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 18 = -4*k. Suppose k*x - 231 = 7*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 5\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y + 38. Is 43 a factor of i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1559, -0.4, -5, -1\/2?\nAnswer: -1559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f + 6. Let q be x(-1). Suppose 0 = -m + 2*g + 91, 0 = 5*m - 3*m + g - 157. Let c = m + -75. Solve o - a = q + c, -3*a = 4*o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6659, 1\/2, 1.3, -4 in ascending order.\nAnswer: -6659, -4, 1\/2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 1456455830*g - 106063179237049445.\nAnswer: -5*(g + 145645583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. Let f(w) = -w**3 - 9*w**2 - 2*w - 10. Let l be f(-9). Let m = y + l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 517194870 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72*(6\/9 + 0\/(-1)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9189 + 1124?\nAnswer: 10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 6. Let m be n(4). What is the units digit of (m + -7)*-5*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 4*sqrt(11) + -3)**2 - (-5 + (sqrt(11) + sqrt(11) + sqrt(88)\/sqrt(8))**2).\nAnswer: -30*sqrt(11) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 529*s**2 + 537*s**2 + 534*s**2 + 4*s + 9 - 1607*s**2. Let h(u) = 2*u - 5. Let q be h(6). Let o(y) = 10*y**2 - 6*y - 13. What is q*j(f) + 5*o(f)?\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + 0.47. Which is the closest to 2\/19? (a) r (b) -3 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/2)\/(5\/20). Solve -h - 1 = -3*r, 3*h + 0 = -2*r - y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886387 is divided by 110612.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 832291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/(-144) - 9\/12. Let 2\/3*f**2 + 0*f - y = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + -3*(-1 + sqrt(432)) + 5 + 0 + sqrt(432))**2)*-3.\nAnswer: -5694 + 1872*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 1 + y)*(-34*y + 15*y + 17*y)*(y - y + 5*y**2).\nAnswer: -10*y**4 - 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*v - 344*v = 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13847.51 - 650.447\nAnswer: -14497.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/40 - 8\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 + 4*b - 12. Let v(q) = q**3 + 7*q**2 - 5*q + 11. Let j(u) = -5*v(u) - 6*z(u). Determine j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 40*a - 37. Give b(38).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1.05 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c - 22*c + 9*c)*(-4*c + 2*c + 0*c + (-6 + 2 + 2)*(2*c - 3*c + 2*c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let a be o(-2). Suppose 79 - 17 = h + a*b, 2*b - 8 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236421*g**4 - 479835*g**2 wrt g?\nAnswer: 5674104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*d**4 + d**3 + 7*d**2 - 3.\nAnswer: 1272*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43440 - 2225?\nAnswer: 41213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 288226500 to the nearest 1000000.\nAnswer: 288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -337\/4, -0.29, 0, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100712 * 9569\nAnswer: -963713128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 39868?\nAnswer: -3\/19934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 18*b**2 + 5*b + 9. Let x(g) = -53*g**2 - 16*g - 27. Let o(z) = -3*x(z) - 8*y(z). Let f be o(-3). What is the greatest common divisor of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -56. Calculate the least common multiple of 12 and z + 2 - (1 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(532\/(-342)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715202 is divided by 357590.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 11093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 + 267. Let m(l) be the second derivative of 6*l**f + 7*l + 2*l**3 + 1\/4*l**4 + 0. Determine i so that m(i) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -117, -390, -917, -1782?\nAnswer: -3069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 5523?\nAnswer: -5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let a = i + 2.5. Let h = 0.5 - a. What is the smallest value in -5, 3, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -510*q + 4980. Calculate a(10).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 2, c: 1}. What is prob of sequence qqc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -38 + (2 - 0) - (-397 - -394)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:17 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 19) + -7 + 142 + -32?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66345*g**3 - 61847*g**3 + 65*g - 65*g.\nAnswer: 4498*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 424?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = -0*h + 2*l, 3 = 3*h - 5*l. Let m be (10\/h)\/((-1)\/(-2)). Which is the smallest value? (a) m (b) 0.2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43897, 43835, 43773, 43711, 43649?\n\"Answer: -62*d + 43959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485 (base 12) to base 14.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4567*l - 974559 = -6192*l + 712*l for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 11. Let j(y) = 5*y - 2*y - 4*y - y. Give j(u(m)).\nAnswer: -10*m + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -1679*g**4\/4 + 768*g**2 + 2395. Find the second derivative of w(j) wrt j.\nAnswer: -10074*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24931 rounded to the nearest 10?\nAnswer: -24930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n**2 + n**2 - n**2)*(3 - 2 - 3) + 3*n**2 + 0 + 0 + (-2*n + 3*n + 2*n)*(3 - 3 - 2*n))*(2 - 6 + 2).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4984*n + 7005*n - 5076*n in the form q*n + j and give q.\nAnswer: -3055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + w - 4 = 0, 3*o + 5*w - 20 = 0. What is the remainder when 171\/15 + 2\/(-5) is divided by o\/(-1) + 8\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 6*i + 10. Let m(f) = 13*f**2 - 2*f + 3. Is m(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 26 = 6*m - 4, 4*l = m + 53. Suppose 3*z + 29 = 5*g, 2*g + 2*z = 1 + 1. What is the lowest common multiple of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3\/5 + 102*p**2 + 21156*p\/5 - 44376\/5 = 0.\nAnswer: -86, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/162)\/(4\/6 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6819*d - 402622 - 142898 = 0 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(249\/(-747))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - q + 4*q - 157 = 0, 0 = 2*p - 5*q - 69. Solve 5*c = -4*v + p, -4*c = -v + c - 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**4*a**(-6)*a)\/((a\/a**0)\/(a\/(a\/(a**(2\/3)\/a))*a*a)) assuming a is positive.\nAnswer: a**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7775 - 7829.57. Let g = 1.43 - y. Let s = g + -50.4. Which is greater: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 17*c + 6*c**2 - 7*c - 10*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 38*g + 175. Give k(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156396233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (-16 - (-14 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5644 - 0.5644. Which is smaller: -1334\/7 or k?\nAnswer: -1334\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -17. Let r(z) = -3*z - 23. Let t(x) = -5*x - 34. Let q(m) = -8*r(m) + 5*t(m). Let k be q(10). Which is the nearest to -2\/7? (a) k (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34558825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.79 + -0.71. Let i = -4 + q. Let b = i - -4.42. What is b rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1.76.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2033*v - 2039*v + 12. Let x(i) be the first derivative of 0*i + 1\/2*i**v - 2. Let u(d) = -4*d. Give u(x(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:28 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-219)\/12 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 + (73 - -68) - (114 - 1)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 70*w**3 + 8 - 2 + 230*w**2 - 102*w**3.\nAnswer: -172*w**3 + 230*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 39913*r**3 + r**2 + 8*r - 10. Let z be y(5). Let u = -859180 + z. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -17*g**3\/6 - 9*g**2\/2 + 3*g. Let c(k) = -4*k - 2. Let a = 21 - 30. Determine a*c(v) + 2*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0697 * -70.2.\nAnswer: 4.89294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24*(-4 + (-14)\/(-4)). Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. What are the prime factors of (-5)\/10 + 57\/a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.2 + -0.2. Let z = b - 12. What is the closest to z in 0, 3\/4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 970 - 786. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.73 + -2.6. Let j = n - 0.13. Let r = 871 + -872. Is j less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:40 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + -2.83. Which is the nearest to 0? (a) h (b) -0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522633?\nAnswer: 3, 19, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13012.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.067 + -0.067033. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 43*v - 29 = -41*v, -5*i + 20*v = -0*v - 15*v + 40 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/22 + 168\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**5\/4 + 45855*i**4\/4 + 711219*i**3\/4 + 2763081*i**2\/4 + 1168209*i\/2 - 593730 = 0. What is i?\nAnswer: -10, -3, 4\/7, 2199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 1, c: 2, p: 2, s: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -3 - (-41 + 60)) + 23 - 46\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 63*s + 67*s - 47 = 0, -3*s = w - 14. What is the remainder when 656 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801579195?\nAnswer: 3, 5, 281, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5855 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 40 = -m, -8 = 2*m - 0. Let r be (24\/36)\/((-20)\/h + -2). Suppose 7 = -r*x + 1. Which is the third biggest value? (a) 3 (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 5) to base 7\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -41*j + 35*j. Let q be (-26)\/8*4\/(-1). Let s = j - q. Solve -s = -2*w - 0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 84, 80, 76, 72, 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2814486911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -12. Let m(z) = -4*z**2 - 7*z + 9. Let a be m(h). Is a\/((3 + -2)*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11009686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -6.8. Let w = 0.8 + r. Let v = w - -5.5. Which is the third biggest value? (a) v (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237868015.5 - 237868114.49999945. Let k = -99 - a. What is k rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.59423 * -0.08\nAnswer: -0.2075384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -54500 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2542, 1 in decreasing order.\nAnswer: 1, -14, -2542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(98) + 2)*4 + 5.\nAnswer: 10 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 74 = -4*t - 2, 3*p - 5*t - 77 = 0. Let n be p\/40 - (-6)\/(-10). Suppose -r - 3 = n, 2*r = -4*v + 5*r + 13. Sort -4, -2, v in ascending order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.25. Let j be (6\/(-8))\/((-4)\/32). Let k be (26\/39)\/(16\/j). What is the closest to k in h, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 2. Let h be z(2). Find the third derivative of 8 - 8 - i**2 + h*i**2 - 13*i**6 wrt i.\nAnswer: -1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28686029 and 264005.\nAnswer: 7543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 34927866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**2 - 816*k - 41616 = 0.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 296?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, 1\/2, 184, -0.1, -91, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -56. Solve -4*s + 419 - 411 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/4 - 36817*u**4\/2 - 451842768*u**3 - 3697278707200*u**2 - 7392750190592*u.\nAnswer: -u*(u + 2)*(u + 24544)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 3*y**2\/2 + 17*y - 24642. Let k(z) = 9. Let u(d) = d + 1. Let x(j) = k(j) + 2*u(j). Calculate 5*g(h) - 8*x(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2653 and 31457?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 3*r - 1. Suppose -55*b + 4 = -53*b. What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16 - -38) + -16 + 7 - 33) + -84.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302136 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300050, 300051, 300052, 300053?\nAnswer: 300054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 26*q - 190 = 0. Solve z - q = -k - 2*z, 20 = 4*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 253, -20, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = c + 3*k, 81 = -5*c + 3*k - 100. Let f = c - -37. Solve -2*p - f = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 12342.\nAnswer: 86394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/6)\/((-1)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12097*h**6 - 2*h**2 + 352*h + 3.\nAnswer: 1451640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l + 10. Let r be 2\/(-8) - 228\/(-16). Let h(u) = 36*u - 30. Let y(c) = r*p(c) + 5*h(c). What is the derivative of y(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*x + 12, -3 = -2*m + x - 2. Let v(b) be the third derivative of b**4\/4 - 5*b**3\/6 - 26*b**2 - b. Let q(j) = -j + 1. What is m*v(k) - 10*q(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1412*o**3 + 2*o**2 + 2*o - 4. Let j(x) = -52245*x**3 + 75*x**2 + 75*x - 150. Determine -75*d(w) + 2*j(w).\nAnswer: 1410*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 6\/7, 0.2, -3, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*q - 6 = -221*q + 3*u, 4*q - 4 = -2*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**3 + 3*z**2 - 7. Let p(x) = -4*x**3 + 2*x**2 - 4. Calculate -3*l(g) + 5*p(g).\nAnswer: g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 8:37 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/((-2)\/10). Does 10 divide 40\/x - (4 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 22?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 4 - 4 + (-3*j + 6*j - j)*(-6*j**2 + 2*j**2 - 3*j**2) + (-j**2 - 2*j**2 + j**2)*(2*j + 0 + 0) + 17*j**3 - 1 + 1.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Suppose 5*v = 3*p - 16, 2*p - v - 7 + j = 0. Let q = 5878 - 5865. Solve -5*a + q = -p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6708*k - 328300 + 113360 - 279982 = 8178 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1578962 and 11704.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 30 = u + p, 38 = u + p. Let d(i) = 4*i + 2. Let t(h) = -9*h - 4. Let l(a) = -7*d(a) - 3*t(a). What is the lowest common multiple of l(-6) and u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 14.3?\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 41*m**2 + 630*m + 150. Give x(-15).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.4 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.06, -14, 0.64, -3, 5 in increasing order.\nAnswer: -14, -3, -0.4, 0.06, 0.64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/228)\/((2\/(-1))\/(-40))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -9. Solve -w = -j + 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyllze. What is prob of sequence yelz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 - y**4\/12 - y**3\/6 - 8*y**2. Let s be 10\/(-4)*(-8)\/10. What is the units digit of i(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - h - 3*h + 4945 = 0, 0 = -3*h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/12 + 13\/(1560\/50). Let h(d) be the second derivative of 0 + 1\/72*d**4 - 1\/6*d**3 + r*d**2 + 6*d. Let h(o) = 0. What is o?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 12:08 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -37*h - 4. Let a(b) = 107*b + 3. Let d(z) = -150*z - 4. Let c(s) = -7*a(s) - 5*d(s). Give 2*c(q) - y(q).\nAnswer: 39*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.375209kg in nanograms?\nAnswer: 1375209000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6809542*o**3 + 14764456*o wrt o.\nAnswer: -40857252*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814880459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 7*l + 97. Let x be b(5). Solve x*g + 30 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3354903, 3354752, 3354599, 3354444?\nAnswer: 3354287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 4*a)*(-1 - 2 + 5) - 2 + 2 - 3*a)*(-3 - 3*a**3 + 3).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 3141771*s**2\/7 - 6283533*s\/7 - 3141765\/7.\nAnswer: -3*(s + 1)**2*(s + 1047255)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = -5. Let g = -6 - n. Let f = -2 + g. Let t(l) = -l**3 + 3*l**2 + 3*l. Calculate t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 226, 302, 376, 430, 446?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.8 from -1396163234.\nAnswer: -1396163217.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 19*f**4\/3 + 7*f**3\/6 + 5*f**2 + 4*f. Let u(t) = 39*t**2 + 3*t + 5. Let b(j) = -4*k(j) + 9*u(j). Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -271. Let u = k - -167.069. Round u to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 14, u: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6656252 to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 24. Give l(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -181*t + 185*t - 22, 17 = 3*t - 2*z. Solve -8 - 17 = -t*q + 3*n, 4*n = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*d = 113*d - 912*d + 39974 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 26*a + 0 - 7*a + 0.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 17. Suppose -3*u - 25 = -x, 0*u - 6 = u + 2*x. Suppose 2*g + 30 = w - 5, 4*w + g - 104 = 0. What is the remainder when f(u) is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((4\/12)\/(-1)). Suppose -7*x = -h*x - 216. Calculate the highest common divisor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (104\/(-30))\/4 - 268\/2010. Which is the closest to -1? (a) i (b) 0.2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540020 and 4444780.\nAnswer: 57782140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 82. What is the remainder when w*-4*143\/(-22) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -16*r**2 + 30*r**2 - 15*r**2. Let b(j) = 29*j. Give n(b(x)).\nAnswer: -841*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-184))\/(21\/(-56))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834494 to the power of 1\/2, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bb847 - -2?\nAnswer: -1bb845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 1. Let x(a) = 13*a + 133. Let d be x(-10). Let h(k) = k. Calculate d*h(l) + g(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = g + 24, 2*s - 14 = -6*g + 2*g. Suppose 5*l + s*j - 107 = 143, 2*j - 192 = -4*l. Suppose -69 = -m + l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**3\/7 + 6711*n**2\/7 + 20172*n\/7 - 3840 = 0.\nAnswer: -4, 1, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:28 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)*a*(a\/(a*(a\/(a*a**(3\/5)))\/a))\/a)\/(a*(a*a\/a**0)\/a)**34)\/(a**4*a*a\/(a\/((a\/(a**(-2)*a))\/a)*a)*a*(a**(-1))**(-3\/11)) assuming a is positive.\nAnswer: a**(-4162\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = 5. Let z(h) = 38*h - 120. Let l(q) = 27*q - 85. Let b(d) = 7*l(d) - 5*z(d). What is b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 3. Let v = -606 - -605. What is the closest to 0.1 in y, -2, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124197 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*w = 1611*w - 38566 + 2253 - 157423 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + c + 3, 0 = 2*d - 4*c + 13 - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 12 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -1)\/((-3)\/3). Suppose o*t + n - 245 = 0, 5*t + 46 - 455 = -n. Suppose 5*f - 4*b - t = 3*f, 5*b = 4*f - 152. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hbkkbkb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32249, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-96))\/(4\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 6?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/2880 + f**5\/48 - 25*f**4\/48 - 3*f**3\/2 - 29*f**2. Let r(a) be the first derivative of b(a). Factor r(m).\nAnswer: -(m - 10)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (29 - (30 + -10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 6972357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.803 + 8.103. Which is the closest to v? (a) -6\/5 (b) 1\/2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19277607\/95 + 202925. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9065521742 to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -195a (base 13) in base 3?\nAnswer: -12012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7956705 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 15*b + 5. Let m be 22 + 0 - (b + (-12 - -3)). Solve 4*l + 24 = 4*j, -j - 3*j + 3*l = -m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877586 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5559.449 decades to millennia.\nAnswer: 55.59449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, d: 7, f: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 136621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 889005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 2*l. Let v be s(-2). Let k = v - -3. Let j(f) = -25 - 2*f**2 - 25 - 7*f**3 + 51. Give j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053810 is divided by 2532?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112\/(-154) + 17475\/55 is divided by 139?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (50 - (5 + (9 - 16) + -13))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/(-310) - (-12)\/10. Put 223, 0, t, -4 in descending order.\nAnswer: 223, t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 9*r + 3. Let z be v(9). Let g(m) = -5*m + 7. Let l(q) = -10*q + 13. Let d(s) = z*l(s) - 5*g(s). What is the derivative of d(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/1680 + f**5\/240 - 2*f**3\/3 + 5*f**2. Let w(n) be the first derivative of p(n). Determine i so that w(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1899.7 rounded to the nearest 10?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1097\/2 - 95443\/174. Let r = 79 - 80. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -187. Solve d*f = 2*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3*l**2\/2 + 52*l - 905. What is v(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = 0. Suppose 4*z = -i*z + 20. Let g be 189\/36 - 1\/4. What is the highest common divisor of g and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436 = -2*o - 3*c + 1414, -4 = -2*c for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -298, -317, -334, -349, -362?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 - 8120*c**3 + 282150*c**2 - 1606000*c - 16100000 = 0.\nAnswer: -5, 20, 4025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 754*d**4 + 40462*d**3 - 641980*d**2 - 1035200*d - 352000 = 0.\nAnswer: -1, -1\/2, 40, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3)**26)**18 assuming j is positive.\nAnswer: j**1404","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1872*a - 85*a**2 - 1872*a)*(-1 + 0 + 2) to the form u + y*a**2 + w*a and give y.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3990 and -37\/2280?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:29 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a2 (base 15) to base 12\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412091144 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3017, -3, 5 in descending order.\nAnswer: 3017, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -204. Which is the second smallest value? (a) 1\/2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/4 - r**3\/6 + 3*r**2. Find the first derivative of z(v) wrt v.\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 + -222. Solve 29 = -2*g + 5*w, b*w - w - 18 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 - 15*n**3 - 19*n**3 + 50*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and -68\/105423.\nAnswer: 632538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1511177*j**3 - j**2 + 228011*j wrt j.\nAnswer: -9067062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3*l**8\/56 - l**4\/2 + 4*l - 7. Let d(p) be the first derivative of n(p). Find the third derivative of d(o) wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 50*h - 93. Let u be p(2). Suppose -19 = u*x - 82. What is the third biggest value in 0.5, -2, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*s - 20 = 0, 79*s + 2520 = -2*v + 2903 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 87012.\nAnswer: 29\/29004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.638521 litres in millilitres?\nAnswer: 4638.521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drgd when four letters picked without replacement from rzrzrzrzgdgrzgzzddzz?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 12*m + 20. Let b be k(-9). Sort b, 3, -5 in decreasing order.\nAnswer: 3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-84 - (17 - -13))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 483 + 7 + 1\/((-2)\/(-6)). Let t = -103 + z. What are the prime factors of t?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 6) to base 9.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714228641.\nAnswer: 19, 313, 456403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let h = -308 - -309. Put o, -5, h in decreasing order.\nAnswer: o, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 11*d - 118. Let s = -290 + 283. Let l be v(s). Let x = 14 + -9. Solve 0 = -x*h - 3*w - 10 - 1, 4*w = -h + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33687807 at least 33687807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d + 6*d + d**2 + 8 - 6*d. Let n be v(-10). Which is the closest to 0.1? (a) n (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1689 - 0.1989. Which is the third smallest value? (a) -75 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5012 + -1.0012. Which is the nearest to 0.3? (a) -9 (b) 1\/3 (c) -2\/13 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (656\/(-84) - -8)*(-12)\/2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/8)\/(4\/6))\/(168\/(-896)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-5)*19\/76?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -2*r**3\/3 + 3*r**2\/2 - 232*r. What is h(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 134*c - 275*c + 140*c. Let s be u(1). Let y(t) = 4 - 4 + 0 - 1. Let z(o) = -o + 7. What is s*z(d) - 5*y(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23720, 23696, 23672, 23648, 23624?\n\"Answer: -24*f + 23744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.951 - -0.751. Let n = 0 - 0. Let i = -803\/7 - -115. What is the nearest to -1\/2 in d, i, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2473636714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104306136 by -5.\nAnswer: -104306136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 14\/(-8))\/1. Let h = 2.5 + -1.5. Are v and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {c: 9, l: 5, p: 2, y: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (277 - 290) + (-4 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*y - 24 = 0, -3*y - 15 = -0. Let s(w) = -5*w**2 - 2*w. Let t(l) = l**2 + l. Determine d*s(k) + 6*t(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11936689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -549*g - 5. Determine m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418121.\nAnswer: 11, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91800 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201\/40 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -31, -50, -71?\n\"Answer: -o**2 - 14*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -36, -0.3 in decreasing order.\nAnswer: -0.3, -4, -20, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(5) + (sqrt(60)*1)\/sqrt(12))**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**6\/10 - 3*z**5\/20 + 11*z**4\/4 + 9*z**3\/2 - 27*z**2 + 1642*z. Solve i(j) = 0 for j.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 122434.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082 * -7.\nAnswer: 0.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k**(2\/3))\/k)\/k)**(-2\/59))**34*((k**(-1\/7)\/k)\/k*k*k**0)\/((k\/((k*k**(-6))\/k))\/(k\/k**3*k)) assuming k is positive.\nAnswer: k**(-12280\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 55*l**4\/12 - 49*l**3\/6 - 15*l. Find the second derivative of a(f) wrt f.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326 - 260. What is the lowest common multiple of 17\/34 + 258\/12 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = a - 3*u, -13 = 66*a - 70*a - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 + m + 1. Let l(h) = 25*h**2 - 15*h + 5. Let o(t) = -5*a(t) + l(t). Factor o(z).\nAnswer: -5*z*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 + 17 = 7*d. Suppose f - 2*l = d, -6*f + 3*l = -f - 268. Calculate the remainder when 166 is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-436)\/(-3)*(20493\/828)\/(-99).\nAnswer: -109\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 32. Determine a(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + 5*q - 6. Let k be t(-5). Suppose -x + k - 29 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*a**2 - 3 + (a + 4*a - 4*a)*(-a + 4*a - 4*a) - a**2 - 4*a**2 + 3*a**2 + 15*a**2 + 9*a**2 + 3*a**2)*(-a**2 + 0*a**2 - a**2).\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let u(l) = -98*l - 4802. Let j be u(-49). Put -4, j, -10, q in descending order.\nAnswer: j, q, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpmeqmqqppzmqqqpq. What is prob of picking 1 m and 1 q?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 52878*f + 1003960.\nAnswer: 2*(f - 26420)*(f - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/240 + 67*k**5\/60 + 265*k**4\/48 + 11*k**3 + 48*k**2. Let x(s) = 0. What is s?\nAnswer: -132, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {x: 1, r: 8, b: 2, d: 2, t: 1, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2.3\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.7 - 70. What is the closest to -0.6 in k, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 58 = -g, -5*k - 94 = -2*g. Suppose -5*i = 5*h - 160, h + h - 2*i = g. Let u(j) = -16*j - h*j + 13*j. Let a(p) = 2*p. Give u(a(v)).\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 1. Let m be y(-5). Let o be (m\/6)\/(30\/(-585)). Let d = 15 + o. Solve 0 = -5*l - t + 6 + 23, 0 = 2*l - d*t - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1235 - 2847*g + 1764 - 349 wrt g?\nAnswer: -2847","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81226\/(-765) - 4\/18. Let f = 106 + y. Let j be 15\/(-36)*-3 - 1. Which is the third smallest value? (a) j (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j + 107. Let o be x(16). Let g(l) = 9 - 2*l + l + 0*l. Let n be g(o). Calculate the highest common divisor of 56 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -35, -0.2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 372784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (66\/8)\/((-4)\/(-16)). Suppose -3*u + 6 + s = 0. Differentiate -u - 18*a**3 + 0 + 21*a**3 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.4. Let x be 2\/5*15\/(-9). What is the nearest to -1\/3 in -1, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100950 divided by -15.\nAnswer: -6730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 15*z = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238014 + 6*x - 119006 - 119008.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 123162 (base 13) to base 9\nAnswer: 733046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/87, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 212039, 424095, 636151, 848207?\n\"Answer: 212056*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/10*-9*(-2)\/21?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-12)\/l*l\/l**(-8))**(-40))**(2\/97))**(4\/5) assuming l is positive.\nAnswer: l**(256\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*b**2*d**2 - 16460773*a**3*b**2 + 45*a**2*b**2 - 2*a**2*b*d - 46*a*b*d**2 + a*d + 2*b*d + 9*d**2 wrt a?\nAnswer: -6*b**2*d**2 - 98764638*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.5. Let o = 38579 + -77157\/2. Which is the second smallest value? (a) v (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11029*(-3 + 2 - -218). Let z = 23894737\/10 + q. Let u = -3807 - z. Find the common denominator of 33\/10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/17 - 16*s**3\/17 + 12*s**2\/17 + 80*s\/17 + 50\/17.\nAnswer: 2*(s - 5)**2*(s + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2. Let l(t) = -337*t**2 + 186*t**2 + 134*t**2. What is m(l(f))?\nAnswer: 1156*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 116, 72?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1654 and 14818.7.\nAnswer: 13164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -0.079.\nAnswer: 0.0711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3325 (base 10) to base 9\nAnswer: -4504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 63815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - p - 10 - 37 = 0, -233 = -5*k + 4*p. Let q = 45 - k. Let l be -2 + q - (-3 + (-18)\/6). Solve 15 = l*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64836*u**2\/7 + 129908*u\/7 - 472\/7 = 0. What is u?\nAnswer: 59\/16209, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, s: 3, u: 1, m: 2}. What is prob of picking 1 m, 1 s, and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 18\/10)*(-82)\/(118080\/3900).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 4*f + 236, 0 = 32*f - 37*f - l + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9213*m**3 - 9257*m**3 + 18471*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*o = -459 + 198. Solve 2*n - o*s - 3 = 0, 4*n - 2*s + 3*s - 13 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(8\/3))**47 assuming l is positive.\nAnswer: l**(-235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2*d - 11. Let o = -104 + 107. Suppose 4*r - 69 = -o*x - r, 2*r = -5*x + 115. What is the remainder when x is divided by b(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -726\/7 - -104. Let x = -1.5 + 0.5. Let m = x + 0.7. What is the second smallest value in t, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20686899 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-2))\/((-5)\/5). Let y(r) = -3*r**f + 2*r**3 - 9 + 0*r**3 + 2. Let v be y(0). Which is smaller: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 0.4 (c) -37 (d) -150 (e) 10 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5074263 years to centuries.\nAnswer: 0.005074263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12728661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8*a**2 - a - 14. Determine l(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91681 or -91679?\nAnswer: -91679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.9110992 + -11.915. What is x rounded to five dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1841160 and 1832?\nAnswer: 1841160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13046100 (base 7) in base 16?\nAnswer: 122169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*12\/8*1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (72\/(-60))\/((-2)\/(-10)). Suppose -4*k + l*u - 28 = k, -u - 35 = 4*k. Let j(h) = h**2 + 9*h + 1. Give j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(4\/15)*o*o**(-2\/11) assuming o is positive.\nAnswer: o**(344\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88155474 rounded to 4 decimal places?\nAnswer: 0.8816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12484 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275 by 5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19776?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 8*m + 10. Let h be j(5). Let a be (-444)\/10 + 18\/h. Let r = a - -76. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*y - 195*y = -72*y - 910 + 5878 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 1631, 3\/4, -2, 23, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -50504 greater than -50504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 42. Suppose k = 3*b + 5*t - 25 - 27, -3*b - 3*t + 48 = 0. Suppose 6*w = w + 630. What is the highest common factor of b and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -18, 0.1197, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 582*s**2 + 6*s + 228. List the prime factors of g(9).\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5900*d**5 + 60544*d wrt d?\nAnswer: -118000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 4, -7, -28, -59, -100, -151?\n\"Answer: -5*x**2 + 14*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49678?\nAnswer: 2, 59, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108 or 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l**(-3)\/l))\/l*l*l*l\/(l*l*l*l\/(l*l*l\/((l\/((l\/l**(-2\/5))\/l))\/l)*l)*l*l))\/(l\/(l*l*l\/l**2)*l*l**1)*l**(-39)*l**(-20) assuming l is positive.\nAnswer: l**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*h, -2*h - 2*v = -h - 12. Suppose -2*o + 61854 = -5*d + 22977, 38878 = 2*o - h*d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.462834944 to three decimal places.\nAnswer: 0.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1467774 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055356657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19567 by -17.\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154258 or -151589?\nAnswer: -151589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from lllkkml?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1986501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3501, 6998, 10481, 13944, 17381, 20786?\nAnswer: 24153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 928 divide 574432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)\/(1\/346). Let b(x) = -x**3 - x**2 + 156*x + 4. Let q be b(12). Suppose -66 + l = q*s. Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2\/13 (c) -240 (d) 9 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*q - 2481 - 519 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3789 (base 11) to base 16\nAnswer: -1349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -97, -101, -107, -115?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(20 + 16 - 7)*((-22 + 24 - 20)*(4 - n - 4) - n + 6*n - 4*n) to v*n + y and give v.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.2, -1045373 in decreasing order.\nAnswer: -0.2, -9, -1045373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.5 - 6.59. Let x = 44.09 + a. Let q = 45.00000042 - x. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94.684 - -89.6363. Let m = q - -0.0377. Let p = -0.91 - m. Round p to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, j: 5}. Give prob of sequence tj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 + 7895220*m**2 - 3895854858588*m - 50647447462612 = 0.\nAnswer: -13, 986909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u + 2. Let q be 910\/(-221) + (-2)\/(-17). Let r(b) = 2*b**2 + 3*b - 3. Let h(z) = q*r(z) - 6*a(z). Let l(s) = 18*s. Calculate l(h(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 5. Let o be h(-3). Suppose -s + 3*u - o*u + 1 = 0, 4*u = 3*s - 1. Differentiate 0 + s - 4 - t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b024 + 0?\nAnswer: b024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 23*p - 1 + 8)*(3246 - 282*p - 3246 - 43*p - 260*p).\nAnswer: 13455*p**2 - 585*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - 3*(sqrt(1872) - (-1 + sqrt(1872) - sqrt(1872))))**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13 and 418654909.\nAnswer: 418654909.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 12 + -4)*-2. Let j be 13 + l - 1\/5. Factor 2\/5*g**2 + j*g + 2\/5.\nAnswer: 2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by 33?\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/3 - 773677*l**2\/3 + 49879923256*l + 548710361232 = 0. Calculate l.\nAnswer: -11, 386844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 93 + (13 - 24 - (2 + 4)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.4 (c) -0.3 (d) -2\/9 (e) -106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -2*m. Let k be 2*2\/(-4)*-2. Let j(w) = 4*w**3 - 3*w**2 + 5*w**k - 2 + 2*w + 3. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-20) - 28\/(-20). Let h = t + 0. Suppose -n - h*n + 2*w + 2059 = 0, 0 = -n + 4*w + 703. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43690.6 - 43691. Let k be 3 - 3 - 1\/1. What is the nearest to k in -3\/5, -77, j?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 687, 1242, 1789, 2214, 2403, 2242?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, r: 2, y: 3, b: 4, v: 3}. Give prob of picking 1 v and 1 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*t + t - 2 = 0, -u = -4*t - 23. Let v(w) = w**2 + 3*w - 4. Let y be v(3). Calculate the highest common divisor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78276843 divided by -3\nAnswer: -26092281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -217*h + 234*h. Let m = -4093\/13 + 315. Which is the third smallest value? (a) m (b) 2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 10. Suppose 0*z = -3*z. Suppose -2*o + 0*v + 3 = -v, 5*o - 3*v - 5 = z. What is the lowest common multiple of q and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(36)\/sqrt(2)*-4 - sqrt(18))\/sqrt(9)*-4.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = -2*c + 256. List the prime factors of c.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 5107*z - 137137. Give f(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3589 divided by -43111?\nAnswer: 3589\/43111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.52 - 1.52. Which is the fourth smallest value? (a) -0.5 (b) 4 (c) -1\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244a (base 14) in base 9?\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 678.77 - 678.7. Which is the closest to 0.5? (a) q (b) 4\/7 (c) -0.07 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*w - 252, -3*w + 5*w - 5*g = -203. Let a = -57 - w. What is the smallest common multiple of 20 and a?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*s**3 - 6538*s - 8*s**3 + 6538*s - 3.\nAnswer: 173*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 0 + 7 + (68 - -28)*1?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2551347898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = o + n, -295*o + 290*o - 4*n = -283. Solve -165\/4*f**3 + 0 - 5\/4*f**5 - 25\/2*f**4 - 25*f - o*f**2 = 0 for f.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 - 2*v - 6. Calculate u(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**3 + 128*q**2 + 1049*q - 15. Let y be v(-8). Is y bigger than 5929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 78. Let d be (h - -4)*(-6)\/36*-3. Factor 175*c**3 + 55*c**2 - 10*c**d - 178*c**3 - 225*c + 375.\nAnswer: -3*(c - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 388.\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.1541 hours in seconds?\nAnswer: 2686154.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppcpppppppppcp. Give prob of picking 2 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.1 - -53.9. Let u = v + -26.8. Sort -4\/3, u, 1\/12, -2\/13 in descending order.\nAnswer: 1\/12, -2\/13, -4\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(190) - (sqrt(190) + (sqrt(190) - (sqrt(190) - (sqrt(190) - 5*(sqrt(190) + 5*sqrt(190)))))))\/sqrt(10) + (2*sqrt(95)*5)\/(sqrt(45)*5).\nAnswer: -346*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 14, -44, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/3, -2, 5, -55\/8, -1.\nAnswer: -55\/8, -19\/3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -6*u - 196. Suppose -4*h - u = -0*h. What is the tens digit of 1248\/42 - 6\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1184\/304 - 6\/(-57). Solve 4 + x = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848671 is divided by 4848655.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0 - 147*b + 5\/2*b**2 - 1\/6*b**3. Let j(h) be the first derivative of h**2 - 9*h - 1. Determine 11*a(c) + 6*j(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 255516*z - 16322106564.\nAnswer: -(z - 127758)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.11 - 0.11. Let v = 2.2561 - 2.3561. What is the closest to v in -1, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27329419 and 4277.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 36*q**3 - 448*q**2.\nAnswer: 4*q**2*(q - 16)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1566 and 76117518?\nAnswer: 228352554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k + 2*k)*(-1281*k - 890*k - 1076*k) to a*k + w*k**2 + h and give w.\nAnswer: -6494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -16*i - 156408. Let v(b) = -9*b. Determine c(v(z)).\nAnswer: 144*z - 156408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from needddneddeedne. What is prob of picking 1 e and 1 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -130, -410, -958, -1864, -3218, -5110, -7630?\n\"Answer: -15*w**3 + w**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33344 + 13338. Suppose 8*u = -9*u + c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2438 = o, -16*o + 15*o + 2430 = 2*u. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-147))\/(1023\/4774).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(8\/(-6) - -2). Suppose -13 = -l*v + 7. Suppose -33 = -v*x - 3*m - 11, -4*x = -2*m. Solve 2*n + 16 = -2*p, 0 = 4*p - x*n - 0*n + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213591\/163 or 1309?\nAnswer: 1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57130458 and 767511.\nAnswer: -56362947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:45 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/26928*-238)\/(126\/(-16)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10547, -10543, -10543, -10553, -10579, -10627, -10703, -10813?\nAnswer: -10963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 78999a7b?\nAnswer: -78999a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.5 + -7.5031. What is b rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-117) + (-4)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.429 + 0.071. Let p = l - 1.5. Which is the biggest value? (a) -1 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9 + 4056*a**2 + 105456*a**3 + 52*a = 0 for a.\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let d = 12 - 7. Let v = 654733\/9 + -72748. Which is the closest to -0.01? (a) d (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:03 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in milliseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 d when four letters picked without replacement from xdbbbdbbbbdbddbdb?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -403, -455, -581, -817, -1199, -1763?\n\"Answer: -6*x**3 - x**2 - 7*x - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1167 (base 8) to base 9\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2567*u**4 - 448*u**2 wrt u.\nAnswer: 61608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 + 41. Suppose -109 - o = -3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51532 and 286.\nAnswer: 566852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtstolwddsssot. What is prob of picking 2 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (8\/1*1 - -27*35\/(-54))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s - 669 = -69*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 287556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3)*(30 - 33)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-15) + 2853\/135. Suppose -w*y + 29*y = 1776. Let l = y + -85. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z**3)*z**(-2\/11))\/(z*(z*z\/(z\/(z*z\/z**(-1\/2)))*z)\/z*z**13))**(-43) assuming z is positive.\nAnswer: z**(17673\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**7\/21 + 25*g**5\/2 + 77*g**4\/4 + 144*g - 1. Find the third derivative of y(a) wrt a.\nAnswer: 120*a**2 + 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g*g\/(g*g**8\/g*g))\/((g**(3\/14)*g)\/(g\/(g\/g**(-5)))))**(-1\/10) assuming g is positive.\nAnswer: g**(283\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15200*t**2 - 136*t - 15185*t**2 + 66*t to r*t**2 + i + a*t and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18321 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1018.05 + 1018. What is the smallest value in 3, r, 0.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 - 11*p - 8*p + 17*p + (-3*p + 2*p + 0*p)*(-p + 3 - 3) + p**2 - p**2 - 2*p**2.\nAnswer: -4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5523 a factor of 4182363549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.49, 0.2, -2\/9?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**5\/78 + 139*l**4\/78 + 112*l**3\/39 + 101*l**2 - 99. Let z(j) be the second derivative of b(j). Solve z(a) = 0.\nAnswer: -2\/5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/582826 and 39\/10.\nAnswer: 2914130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**4 + 12*z**3 + 17*z**3 - 28*z**3 - 4*z)*(5 - 6 + 5) as n*z**4 + r*z + w*z**2 + k + h*z**3 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = f. Let w be ((-12)\/10)\/((-6)\/(-15)). Do f and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16990612 or -16990613?\nAnswer: -16990613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2*-5 + sqrt(2)*2*-1*-1)**2.\nAnswer: 6728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let a(c) be the second derivative of -5*c**3 - 2*c**2 - 3*c - 10. Give a(u(f)).\nAnswer: 30*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + 1 + sqrt(612))**2 + (1*2*(sqrt(17) + 1) + -5)**2)*-2.\nAnswer: -24*sqrt(17) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 342.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1258*f**2 - 1103187*f**5 + 1103187*f**5 - 1312*f**6 wrt f?\nAnswer: -157440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40788567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99) + 3 + -3)**2 + (sqrt(11) + -3 + sqrt(11) + -1 - (sqrt(275) + 0 - sqrt(275))).\nAnswer: 2*sqrt(11) + 887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5994)\/243 + 23)*4\/(-10)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24054)\/(-798))\/(4\/28). Sort 4, s, 1.\nAnswer: 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 3603*r**2 + 2*r**3 + 2*r - 3561*r**2 - 3*r**4 as c*r**3 + p*r**2 + d + b*r + h*r**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 21 = 4*z, -5*z - 112 + 80 = -7*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + -4 + 19) - 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -4*i - 4*l, 2*i - 68 - 58 = -5*l. Let z be i\/14 + 1\/7. Differentiate 10 + 7 + 10*o - z with respect to o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(1 - 6\/4). Let r = 0 + -2. Let a = u + r. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -144*f**3 - 3*f**2 - 1783*f - 3561. Calculate n(-2).\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - -93 - (5 + -6 + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -550363928, -550363927, -550363926, -550363925?\n\"Answer: a - 550363929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 2*s + 0 - 2*s**2 + 1\/3*s**3. Let r be h(6). Solve 3*g = 2 - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48880 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/128? (a) -5 (b) 1\/2 (c) -104 (d) -0.09 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/2 + 275*b - 8040.\nAnswer: 5*(b - 24)*(b + 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdycrdc. Give prob of picking 1 r and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21744 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, -49, -2, 65, 158, 283, 446, 653?\n\"Answer: m**3 + m**2 + 23*m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Suppose 0*l = -3*l + 15. Calculate the remainder when l is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (761*i + 15*i - 73 + 118*i + 73)*(0 - 2 + 3).\nAnswer: 894*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t - 5 + 3)*(-4*t + 3*t**3 + 4*t).\nAnswer: 3*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*11.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 36 = -3*c + 84*u, -c = 3*u + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 704479979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 2070*y + 8268.\nAnswer: 3*(y + 4)*(y + 2756)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11.37855 (b) 0 (c) -0.4 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*u**5 + 2*u**4 - 2*u**3 + 32799*u**2?\nAnswer: 16980*u**2 + 48*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 922679237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*y - 3)*(0*y + 2*y - y) + 40 - 27*y**2 - 40.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 12:35 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17175 and 143025.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + -6)*(-4 + 2 + 3). Let a(q) = -q**3 + 4*q**2 + 3*q - 14. Let f be a(b). What is the greatest common factor of 172 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000) - 3*sqrt(4000)) + (sqrt(160) + sqrt(160)*3 - sqrt(40)))\/(sqrt(72)\/((-1*sqrt(99))\/sqrt(11))*-5).\nAnswer: -13*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let x = -28 + 36. Let c(m) = 9*m - 19 + 13 + x. Determine o(c(h)).\nAnswer: -81*h**2 - 36*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.71 and -0.237.\nAnswer: -0.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 45*d**2 + 2*d + 1. Let j be b(-1). Suppose 2*a - 2*o - j = 0, 2*o + 4 = a + 7*o. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {c: 1, o: 2, i: 2, r: 2, z: 3, f: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from nfcclcfdtftc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6) + 19\/(-114))*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4244 and 4.\nAnswer: 4244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 174*z - 1861 = 171*z, 0 = -l + 2*z + 380. Calculate the highest common factor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011111111100010001 + -10?\nAnswer: -11101011111111100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 1267*a = -836*a - 16920 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/975?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d - 252 = -156*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 11 = 3*l, -3*v = 2*l + 2*l + 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 y, and 1 v when four letters picked without replacement from {s: 6, y: 1, v: 5, a: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137143205 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/7*8\/20. Let r = -6.4 + 6. Let c = -0.3 - r. Is c bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 1. Let d(z) = z. Let l(r) = -6*d(r) + u(r). Let j be l(3). Is j\/(-6)*(-6 - -207) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15606191 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 - 10*r - 10. Suppose 4*o - 44 = 40. Calculate the remainder when o is divided by n(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83251440 by -9.\nAnswer: -9250160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let r(m) = -2*m**2 - 321*m - 19. What is r(z(v))?\nAnswer: -8*v**2 - 642*v - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16244, -16162, -16048, -15902, -15724, -15514, -15272?\n\"Answer: 16*s**2 + 34*s - 16294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 + -619.7. Let b = 28.6999666 + z. Round b to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -23. Suppose o - 16 = -t + a, 4*t - 2*o = 150. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25 = 7. Suppose 4*k + 248 = 4*n, -3*n - 276 = -0*k + 4*k. Let y = 132 - k. What is the greatest common divisor of v and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -738, -2074, -4324, -7488, -11566, -16558, -22464?\nAnswer: -29284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let r = l + 2. Let t(z) = -z**3 + 128*z**2 - 161*z - 11466. Let y be t(126). What is the second biggest value in r, 11, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/5 - 448*c**3\/5 - 25532*c**2\/5 - 49728*c\/5 - 24642\/5.\nAnswer: -2*(c + 1)**2*(c + 111)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 5*f**2 + 3*f**2 - 2*f**2 - 4*f**2 + 4*f**2 + (2*f - 2*f + f)*(4 - 4 - 2*f) + 2*f**2 - 2*f**2 + 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 - 32 = 0. Let h(j) = j**3 - 9*j**2 - 9*j - 3. Let v be h(d). What are the prime factors of 6\/21 - v\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(1\/141). Let s = x - -3. Let w = s - -46. Solve -4*f - 5 = 3*z, 0*f = -4*z + w*f + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 1226, 2015, 2940, 4001, 5198?\nAnswer: 6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0) + 1\/1. List the prime factors of 1*(i - 4)*-59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 4*j**3\/3 - 127. Let l(v) = 43*v**2 + 2. What is p(l(n))?\nAnswer: 7396*n**4 + 688*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:48 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*b**3 - 520*b**3 + 3*b + 132*b**3 - 409*b**2 + 129*b**3 + 130*b**3 to t*b**3 + q + r*b**2 + m*b and give r.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 - 10. Let n = i + 1.3. Are n and -0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 241434 and -0.5.\nAnswer: -120717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/182 - 154\/156)\/(3\/2).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.081 + 2.081. What is the closest to -1 in l, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3507891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 5*n = 17*a + 8850, -4*n - 8832 = -5*a. Is 104 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 218, 222, 228, 236, 246, 258, 272?\n\"Answer: v**2 + v + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(272) + -1 + sqrt(272))*5)**2 - -5*((sqrt(272) - (-1 + sqrt(272))**2) + sqrt(272))*3)*-4.\nAnswer: -1726020 + 24640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*n - 6*n - 14, -3*n - 15 = 0. Let p be -1 + 1 + 1\/(-3). Which is the closest to p? (a) -0.5 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(1900) - (sqrt(1900) + -2*sqrt(1900) + sqrt(1900)))*-1 - 1*((sqrt(1900)*1)**2 + sqrt(1900))))*2.\nAnswer: -22764 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.038 in 1, -1, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246436902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.7. Let g = -1.1 - -1. What is the second biggest value in -0.2, g, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let p(h) = -1 + 2 - 3*h + 3 - 2. Let d(r) = -p(r) - 4*y(r). Calculate d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122652 smaller than 314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5*v + 12. Let j be r(-7). Let o be -134 + j*1*(-33)\/(-22). Let p = 108 - o. Calculate the highest common divisor of p and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40904.\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30682 divided by 76\nAnswer: -15341\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-1 + 55 + -2 + -4 + 8 + -10)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9340653 take away 0.244?\nAnswer: 3.6900653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:29 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29502065 and 1888.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6532045*f**3 - 2*f**2 + 4*f**2 + f**2 + 6538149*f**3 - 3*f**2.\nAnswer: 6104*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -899215, -899224, -899221, -899200, -899155, -899080?\n\"Answer: w**3 - 16*w - 899200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 5*y - 3*j - 1134, 658 = 2*y + 4*j. What is the greatest common divisor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(9)*-3))\/(-6*sqrt(12)\/sqrt(2)) + -5*((((-1*sqrt(6))\/sqrt(3))**2 + sqrt(2) - 2*(sqrt(2)*2)**2) + -3).\nAnswer: -89*sqrt(2)\/18 + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3316055508.9999863 - 3316055169. Let g = -339.947 - 0.053. Let f = q + g. Round f to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/19, 395, -0.85, 4 in increasing order.\nAnswer: -0.85, 1\/19, 0.5, 4, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, z: 1, e: 1, m: 2, x: 10}. Give prob of sequence xeam.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Let w(l) = -l + 2. Let v(j) be the third derivative of -j**4\/8 + 7*j**3\/6 - 13*j**2. Let h(q) = -2*v(q) + 7*w(q). Calculate i(h(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m**3 - 3*m + 1. What is the units digit of p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0 - 3*v**2 + 0*v**3 + 1\/20*v**5 + 0*v - 1\/12*v**4. Find the second derivative of t(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14610776 rounded to 5 dps?\nAnswer: 0.14611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 18. Let l = b + -7. Suppose 4*o - l = h, -2*o - 14 - 13 = 5*h. Do h and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 639427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72528 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 309*m + 24. What is the units digit of s(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 4. Let u be m(-4). Let r = -786 - -785.9745. Let l = 0.0745 - r. Is l greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2621509 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3936, 5489, 8086, 11733, 16436, 22201, 29034?\n\"Answer: i**3 + 516*i**2 - 2*i + 3421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 35*x**3 - 70*x**2 + 40*x.\nAnswer: -5*x*(x - 4)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11891452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -8*w**4\/3 + w**3 + 209*w**2. Is 10 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/175 and -54\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, -152, -1037, -2258, -3803?\nAnswer: -5660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drmmqqqrqrmq. What is prob of sequence dqrr?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1394\/(-3104))\/((-6)\/(-108)). Let x = -4\/97 + z. Let a = 2248 + -22407\/10. Find the common denominator of a and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04702 and 11.9989.\nAnswer: -0.564188278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/7 - 543*f\/7.\nAnswer: 3*f*(f - 181)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 5*d**2 + 4*d + 3. Let s be y(4). Suppose 4*f - 12 = -q - s*q, -2*q + f = -3. Let c = -3 + q. Which is bigger: c or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(35\/(-25)*-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = -11*w + 8*w, 0 = -4*t - 3*w + 12. Which is greater: t or -420?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-5)\/(-4))\/(5 + (-708)\/144). Let n(k) = -2*k + 27. Calculate n(q).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -395776*w**2. Let v(o) = 99*o**2. Give v(r(q)).\nAnswer: 15507225575424*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from odouudddtg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -16 (b) -28 (c) 0.11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1356, 1, -9\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(1*sqrt(12)*-2)*1)**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000253757911 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 42 in descending order.\nAnswer: 42, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 + 7*c**3\/2 - 2*c**2 + 2*c - 807. Give f(12).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**2 + 1\/10*g**5 + 0 + 0*g - 1\/120*g**6 + 1\/4*g**4 + g**3. Let p be v(7). Which is smaller: -7\/3 or p?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980 = -86*s + 20*s + 31*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14415 by -465.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q**5 + 26*q**4 + 52*q**3 + 16*q**2 = 0 for q.\nAnswer: -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002135915 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/5 - 6*m**4\/5 - 64*m**3\/5 - 96*m**2\/5 = 0 for m.\nAnswer: -4, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*z - 11*z, z - 97 = -n. Suppose 36*l = n + 85. Solve -l = 5*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyuwwuuggguy. What is prob of picking 2 y, 1 t, and 1 w?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*x - 76, 1 = -3*x + 13. Suppose h*w = 8*w. Suppose 2*t - 758 = -w*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*m - 12. Let u be (-42)\/(m\/2 + 1). Suppose 4*g - 2*a = 77 + 31, -3*g - a = -86. Calculate the highest common divisor of u and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(-x**2 + 0*x**2 + 3*x**2)*(-2 + 6 - 2) + 7042*x - 770*x**3 - 7042*x.\nAnswer: -766*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*0\/443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*l + 160*l = -6. Suppose 5*z = -4*a + l*a - 1021, 3*a - 1544 = 5*z. List the prime factors of a.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -7 - (23\/(-7) + -1). Put -0.2, q, -0.6 in increasing order.\nAnswer: -0.6, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 13*c + 15. Let k(v) = -v**3 + 5*v**2 + 2*v + 2. Let y be k(5). What are the prime factors of x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/6)\/((-5)\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -562 - -181. Let k = a - -880. Suppose -5*d + k = -0*m + m, 3*m - 97 = -d. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*q - 2*q - 64 = 0, 5*q = -4*o + 73. What is the greatest common factor of 68 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3423628032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 3*l**5\/20 + l**4\/12 - l**3 + 2*l**2 + 2*l - 333. Calculate b(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3015614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355 and 784621.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 7. Let k(n) = 3*n - 8. Determine -5*k(v) + 6*x(v).\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - s = -4*s + 19, q = -2*s + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2 = 3*u, 36 = -3*u - 2*j + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -119, 0.3, 2\/13, 34, 5, 0.37?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682 - d - 682 + 2843 - 679 - 800.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 + -13 - -1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 4, c: 1, j: 7}. What is prob of sequence ru?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 5*m - 5. Let y(j) = -3*j**2 + 6*j + 6. Let p(t) = -6*q(t) - 5*y(t). Let g(c) be the first derivative of c**3\/3 - 1. What is p(g(o))?\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18669 - 18674. What is the biggest value in -2\/7, -0.4, -2070, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h, -4*l + 2*h + 2*h = 12. Which is the closest to 27? (a) l (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 1. Let v be c(2). Let i = -12.5 - -25.9. Let a = i + -16.4. What is the fourth smallest value in a, 3, v, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 8*x + 31*x - 121, 707*x = -5*m + 702*x + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12)*3 + -1. Let j = 118 - 116. Put j, -4, o, 3 in ascending order.\nAnswer: -4, o, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, 1\/4, -543, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 51?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 243837?\nAnswer: -243837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212 and 93439?\nAnswer: 373756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 97, 188, 317, 496, 737?\n\"Answer: 2*f**3 + f**2 + 48*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 281579.\nAnswer: 1407895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823273 is divided by 4404?\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 316 = -2*b, 4*b - 8*j = -7*j + 614. Solve 59 = -71*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4437.84 - 10.84. Let w = p + -4502.41. Let f = w + 75. Round f to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4. Let g(p) = p**2 + 4*p + 2. Let c be g(-4). Let d(x) = -15*x**2 + 9*x**2 + 7*x**2 + c + 1. Give -4*d(o) + 3*f(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 1265*c + 25 = 1266*c, 3*i = c - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343)*3 - sqrt(343)) + 4 + sqrt(343))*3 + (sqrt(343) + 3 + 4)*3)**2.\nAnswer: 5544*sqrt(7) + 50481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 51*y**2 + 96*y - 86. Calculate v(-49).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9851254.\nAnswer: 2, 7, 100523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22848558 + 647590 = 0. Let h = -3440053 - i. Suppose -5*d + h = -249811. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -78, -70, 38, 300, 770, 1502?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6*u - r + 22, 3*u = 4*r + 2. Solve -2*v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163288\/5 - 32800. Is p not equal to -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:46 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 1422*c + 5720 = 0. Calculate c.\nAnswer: -4, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93940640, 93940638, 93940636, 93940634, 93940632?\n\"Answer: -2*a + 93940642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6157 is divided by 1922.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 + 11*x - 55. Let w be p(-10). Suppose 4*o - 2516 = -4*y, w = o + y + 2*y. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*s = -123*s - 50000. Round s to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 953692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3296.1 and -1956?\nAnswer: -6447171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 + 9*k + 7. Suppose 231 = 14*h + 315. Determine p(h).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 17*q**3 + 17*q**2\/5 - 37*q\/5 + 6\/5 = 0 for q.\nAnswer: -3, -1, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -42.9 smaller than 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6659, -12933, -19181, -25403, -31599?\nAnswer: -37769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 35 = -5*l, 27 = 5*l - 2*z + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -7, 2030?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38079293 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/30)*i*i*i**(1\/4))**(1\/11))**(-8) assuming i is positive.\nAnswer: i**(-274\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38128, -76201, -114276, -152353, -190432, -228513, -266596?\n\"Answer: -w**2 - 38070*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1672\/38 - 37)*22\/(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - o = 56, 0 = -p - o - 0*o + 24. Suppose f = -4*f + p. Find the third derivative of -2*b**2 - b**4 - b**4 + 0*b**2 + 3*b**f wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 minus 63.244?\nAnswer: -729.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3\/8 - 465*h**2\/8 - 2223*h + 4563\/2 = 0 for h.\nAnswer: -78, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqmqmhyh. Give prob of sequence qm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*m + 7, 3*u + 5*m = -9. Let z = -9\/10 - -13\/10. Is u bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1742, -3497, -5252, -7007?\nAnswer: -8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/596994 and 6\/329.\nAnswer: 4178958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15*a = 17*a + 10308, b - 3*a = 3443. Let h be -1 + 10\/6 - b\/102. Which is bigger: 1\/4 or h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1 - 1. Let t be 24\/(-32) + (-19)\/(-4). Let d(j) = -4*j + 6*j - t*j. Calculate d(r(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, -3601, -1, 0.\nAnswer: -3601, -1, 0, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, d: 14}. What is prob of picking 4 b?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 5*z + z + 4. Let t be u(7). Is 13 a factor of 3 + 31 + -1 + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 7649.3?\nAnswer: 2600.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 494350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 0*x. Let q be 12\/27*18\/(-15). Let g = -1\/3 - q. Which is the smallest value? (a) 3 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95)*-1)\/(sqrt(45)*4) + -5)*3 + 5.\nAnswer: -10 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/8 + -2)\/4*1. Let j(v) be the third derivative of -l*v**4 - 11\/40*v**5 + 0*v + 0*v**3 - 1\/5*v**6 - 1\/20*v**7 + 0 + v**2. Factor j(o).\nAnswer: -3*o*(o + 1)**2*(7*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -2\/5, 29 in decreasing order.\nAnswer: 29, 5\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101 and 21.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4216268?\nAnswer: 2, 7, 23, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403440102.\nAnswer: 2, 7, 3503557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 234764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45170 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3808 take away 2?\nAnswer: -1.6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 3*f. Let t be z(2). Let u(n) = -n - n + 5*n - n**3 + 1 - 5*n**t - 8*n. Determine u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 13. Let w = 123 - 130. Is y <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8 - 27\/(-4). Let w be (10\/4)\/((-2)\/(-4)). Suppose 0 = w*s - b - 19. Solve 4 = -2*j + s*l - 6, -2*j = -4*l + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**2*y**4 - 19*b**2*y**3 - b**2*y**2 + 142171*b**2 + 11*y**3 wrt y?\nAnswer: 120*b**2*y - 114*b**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3*-3 + 7. Suppose -h + 1506 = u*c + h, 2*h = -5*c + 2514. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + i**2 + i**2 - 5 + 5 + (-3 + 3 + 2*i)*(1 - 1 + i) + 183*i**2 + 74*i**2 + 31*i**2 to d*i + t*i**2 + u and give t.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 8*u - 31 = 0, 2*w + 4*u + 37 = 27 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52\/27 in -10, 2, -442?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:34 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3844, -3850, -3856, -3862, -3868?\n\"Answer: -6*f - 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.193 - -0.093. Put o, 0.05, 2 in descending order.\nAnswer: 2, 0.05, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 44045029.\nAnswer: -3\/44045029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 2.5. Let a = 2 + -1. Sort -4, z, a.\nAnswer: -4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(280) + (sqrt(280) - sqrt(280)*4 - sqrt(280))*3)\/sqrt(5))\/(((sqrt(392) - (sqrt(392)*-3 + sqrt(392))) + sqrt(392))*6*1).\nAnswer: -11*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 19 in decreasing order.\nAnswer: 19, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 106 - 54. Let a be 6\/(-4) - (-4100)\/w. Let t = 53 + a. Put t, 0, 7 in ascending order.\nAnswer: 0, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*k - 253*k - 100*k**2 to z + b*k**2 + a*k and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 407 - 401. Let w(q) be the third derivative of z*q**2 - 1\/24*q**4 + 1\/120*q**6 + 0 + 1\/6*q**3 - 1\/60*q**5 + 0*q. Factor w(r).\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/25*8\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 43, 1, -79, -197, -353, -547?\n\"Answer: -19*t**2 + 53*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 285247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47002877?\nAnswer: 47002877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 81*v + 690. Let f be t(25). What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 66. Let t = 17 - d. Let i = -3 - t. Solve 0 = 2*k - 2*u - 8, -4*u = 2*k - u - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4653005, -9306003, -13959001, -18611999, -23264997, -27917995?\nAnswer: -32570993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3\/2 + 48631*v**2 - 1181075520*v - 68666072400 = 0.\nAnswer: -58, 48660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*c**2 + 101*c**2 + 129*c**2 - 370*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97127804.6 rounded to the nearest ten thousand?\nAnswer: 97130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 916 = 5*z + 5*i, 4*z = 2*i + 944. What is the remainder when z is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826 minus 0.06?\nAnswer: 1825.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3001*t**2. Let i(u) = -198*u. Determine i(l(x)).\nAnswer: 594198*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6182 + 96*f - 3088 - 3093 as o + i*f and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18232 divided by 18232\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1656.7 + 1656.85206. Round i to 3 decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let g = 121\/6 - 39\/2. Which is the closest to 0.2? (a) g (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1.13 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1966 (base 11) to base 4.\nAnswer: 212330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 + 3*v - 4*v + 17*v**2 - 38*v**2 + 133962*v**3.\nAnswer: 133962*v**3 - 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 35, 93, 191, 341?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 26*d + 117. Let s be v(-5). Which is greater: s or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2672*s + 2723*s + 2907 = 0 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 8*r**2 + 5*r - 6. Let k be o(-5). Let l = -19 + k. Suppose 4*z - 100 = -l*z. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {j: 1, i: 3, c: 9, b: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6)*((-408)\/40 - -9). Put p, 1, -22 in decreasing order.\nAnswer: 1, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19684 + 19683.8. Let h = 1 - 1.5. Which is the third biggest value? (a) h (b) 2\/7 (c) t (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*r + 38009 = -11900 - 16116 for r.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 18. Let p(d) be the first derivative of -d**4\/4 - 5*d**3 + 17*d**2\/2 + 8*d - 66. Let t be p(h). Is t bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n = -89*n - 337086. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 347.26 from -0.91.\nAnswer: -348.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -237 + 439\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 18*z + 2 - 2*z. Let c be (-6)\/9*(1 - -5). Let d be k(c). What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34415 + -12?\nAnswer: -34427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 18 = f - 4*g, -g = -f + 7. Let w(a) = -4*a**2 - a + 2. Let v be w(f). Let r = v + 31. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13755402?\nAnswer: 2, 3, 764189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57915360 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 17476 in descending order.\nAnswer: 17476, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = 2*r - 12, -4*q = -4*r + 16. Let u be ((-7)\/(21\/(-4)))\/(q\/(-30)). Is 5 a factor of (-2)\/(-8) - 2390\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*b - 392*b + 800*b + 123*b**3.\nAnswer: 123*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -24, -55, -108, -189, -304, -459?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182023842.\nAnswer: 2, 3, 7, 11, 13, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -68*u - 3 + 60*u - 1. Let f(o) = 6*o + 4. Let m(p) = -3*f(p) - 2*v(p). Let y be m(-4). Solve -y*i = 3 - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 31 + 125. Let m(g) = -11*g**3 - 3*g**2 - 6. Let a(x) = 43*x**3 + 13*x**2 + 25. Let v(n) = j*m(n) + 6*a(n). What is the derivative of v(s) wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 3185696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 44*a**2 - 227*a - 1967. What is x(-48)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-6)\/(-27) + (-7)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 + -123.8. What is the closest to o in -5, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 2*d**2 + 2*d + 1. Let l = 18 - 20. Give q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1005 - 663. Suppose -13*p = -19*p + o. What is the highest common divisor of p and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m**2 + 1)*(1 - 1 - 2) + 68*m - 68*m - 7*m**2 - 2*m**2 + 0*m**2 + 0*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u - 6. Let f be s(8). What is the remainder when 0 - 1 - (1 + -7) is divided by 16\/10 + f\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + 79*k**3\/4 - 68*k**2 - 517*k - 600.\nAnswer: -(k - 75)*(k - 8)*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 40*u - 27*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2\/9, 0.5, 15083.\nAnswer: 2\/9, 0.5, 41, 15083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1167 = -5*c, -4*b - 83 = -c + 158. What are the prime factors of c?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -19*s**6\/60 + 22*s**3\/3 - 15*s**2 + 2*s. What is the first derivative of l(c) wrt c?\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*a = -798, 0 = -5*q - 3*a + 2703 + 1219. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0222 not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -130, -488, -1188, -2344?\n\"Answer: -19*f**3 + 3*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15339, 180, -1\/19, 4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236552543.\nAnswer: 3, 37, 71, 52301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*w + 426, 5*n - 627 = 4*w + 86. Let j be (-61)\/(15616\/(-672))*492\/9. Is j >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5057 or 1?\nAnswer: 1\/5057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-376))\/(304\/608))\/((-1)\/(-2))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69745327461 minus -121?\nAnswer: -69745327340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2980905 and 49200.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let n(s) = 10*s + 2. Let u(f) = -n(f) - 6*t(f). What is u(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 142, 563, 1232, 2113, 3170, 4367?\n\"Answer: -6*d**3 + 160*d**2 - 17*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/3 - 4*v**4\/3 + 20*v**3\/3 + 16*v**2\/3 - 22*v + 12 = 0. Calculate v.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137544 and 8336?\nAnswer: 275088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**3 + 5*u**2\/2 - 28*u + 1826. Determine d(5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384823 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r**2 + 2. Let w be a(3). Let n = -1 + w. Suppose g = -3*t + 4, -g + t + 11 + n = 0. Calculate the highest common divisor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.56871 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrxx. What is prob of picking 2 x and 1 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 31*c + 40. Let o be r(0). Calculate the greatest common factor of 19160 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0819, 1\/3, -5, 30508 in descending order.\nAnswer: 30508, 1\/3, -0.0819, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7098 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-2*5)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310 + 314. Let u be (-1)\/(-3)*(11 + -5). Put -3, -4, u, r in descending order.\nAnswer: r, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 2*l**2 - 2*l - 2. Let g(p) = 4*p**3 - 2*p**2 + 3*p + 3. Let a(w) = -2*g(w) - 3*s(w). Find the third derivative of a(v) wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.85, -3, 5, 0, -1610 in descending order.\nAnswer: 5, 0, -0.85, -3, -1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 20. Let f = -15 + 9. List the prime factors of q(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1519*s + 206602. Calculate z(136).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*v + 10, -16 = -4*i + v - 71. Let w be 1\/4 + i\/(-36). What is the nearest to 1\/2 in 3, w, 105?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 171*x + 354.\nAnswer: -3*(x - 59)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 8. Let s(y) = 5*y - 13*y + 6*y - 113 + y + 116. Suppose 2*b + 5 = -5. Determine b*c(f) + 12*s(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + w + 8*w + 19 - 17 to the form y*w + c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 4.9. Let q = 5.7 - s. Let i = 94 + -93.9. What is the closest to i in -5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1402*x - 65*x**2 + 1402*x)*(2*x - x - 2*x)*(-4 + 3 + 2)*(2 - 2 + x) in the form p*x + n*x**4 + v*x**3 + s*x**2 + j and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/((-18711)\/(-7317)) + (-414)\/161?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1718185190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(-26)*x))\/x)**16 assuming x is positive.\nAnswer: x**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2550690 and 53\/3417?\nAnswer: 43361730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 14*j - 10. Let t = 7 + 6. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3, 3*u = -0*u - 3*y + 39. What is the highest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29\/177, 4, -5?\nAnswer: -29\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**2\/2 + 8. Let c(d) = 3*d - 2. Give -c(a) + 2*p(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 243.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(0 + (-9)\/6). Let x = -8710 - -8713. Solve 16 = x*p - 4*t, -4*p + 3*t = -10 - m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 0)\/(259\/((-2072)\/176) + (-20)\/(-1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 + -0.35. Let c = a - -0.14. Do 0.1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - h**2 + 1. Let s be (-4)\/26 + (-45)\/(-39). Give d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1\/24*b**4 + 0 - 1\/12*b**3 + 1\/40*b**5 + 0*b**2 - 2*b + 1\/60*b**6. Factor p(w).\nAnswer: w*(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 47 = -l, 3*l - 971888 = -2*z - 971835 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33\/93*8\/6*1452\/10648\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184878 + -5?\nAnswer: -184884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -4 + 5)*6)**2*-5.\nAnswer: -219060 - 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(3*(-2)\/(-24) - 1). What is u in u**3 + 423*u - 40 - 363*u + 4*u**t - 30*u**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**3))**(-2\/25)\/(j**(-6\/19)*(j*j**(-10)*j)\/j))**(1\/17) assuming j is positive.\nAnswer: j**(4311\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137441\/24 + -11445\/2. Let c = 63761\/18 + -3540. Calculate the common denominator of j and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 72\/3 + -1 + 21*24\/(-72)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -101, -183, -251, -299, -321, -311, -263, -171?\n\"Answer: r**3 + r**2 - 92*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 12 = 0, 100251*t - 100271*t - 2*p = -26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2630, -3534, -5988, -10766, -18642, -30390, -46784, -68598?\nAnswer: -96606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154298 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -6. Let o be (6\/4)\/(c\/(-16)). Suppose 0*x + 5 = 2*s - 5*x, o*x = -5*s + 62. What is the highest common divisor of 70 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1299 and 1?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 368967253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/27 of a day?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8908581083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 277*w. Let a(i) = 44*i. Give a(n(p)).\nAnswer: 12188*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*y - 1 = y, y = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 56\/77) + (-3108)\/(-2156).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2237\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594667 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + j + 1 - 2*j - 3. Let p(a) = 2*a - 4. Suppose 0 = 4*b + 5*g + 37, g + 1 = 2*b + 2. What is b*p(y) + 5*o(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + b - 8)*(2 - 1 + 3)*(-132*b + 263*b - 160*b) to the form c + y*b + q*b**2 and give q.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from oxxooxooooo.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let g(u) = u**3 + 17*u**2 - 18*u + 21. Let j be g(-18). Let a(b) = -11*b + 4*b - j*b + b. What is t(a(s))?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89289352 a multiple of 6577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 1*(((sqrt(99) + 1 + sqrt(99) + sqrt(99))*-3)**2 - (-3 + (sqrt(99) - (-2 + sqrt(99) + sqrt(99))))**2)).\nAnswer: -7926 - 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2743015\/631764 + -704\/161. What is the common denominator of -95\/3924 and i?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296755613 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93466922 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 28*r + 56. Let d be w(26). Factor 1\/4*c**3 + 0*c**2 - 1\/2*c**d + 0 - 2*c**5 + 0*c.\nAnswer: -c**3*(2*c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169292 is divided by 169289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 9*m - 4. What is v(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000096499 to 7 decimal places.\nAnswer: -0.0000965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/251090 and 13\/7156065.\nAnswer: 14312130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -1947?\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 41566431*d**2.\nAnswer: 3*d**2*(d - 13855477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 1504804639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2 - 6*q + 6. Let p(s) = -s**2 + s - 1. Let r(k) = k**3 + 10*k**2 + 19*k - 1. Let v be r(-8). Let b = v - -19. What is b*p(j) - c(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 2*o**2 + 5*o - 2. Let j be p(3). Suppose -j*r + r = -z + 5, 4*z - 71 = -5*r. Let t = -1 + 5. Solve 2*h - z = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288 - -293. Suppose -34 = -2*x + j*l, -2*x + 2*l = -0*l - 28. Let c(f) = -f**3 + 12*f**2 + 2*f - 18. What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 - 32*o + 3. What is the units digit of h(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215\/422 - -2\/211. What is the nearest to c in 5, -1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3 + t**2\/2 - 2*t - 4. Let f(q) = q**3 + 8*q**2 - 10*q + 7. Calculate the lowest common multiple of i(-2) and f(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - 11?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10154 + -8657. Calculate the remainder when j is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -101, -8.3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 7*b - 1. Let z(o) = -o**2 + 4*o + 7. Let d be z(6). Let x be i(d). Let g = x - 2. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 + c**2 + 3*c - 4. Let r(i) = 13*i**3 + 6*i**2 + 12*i - 16. Let m(h) = -9*q(h) + 2*r(h). Let k be m(3). Which is greater: -22\/5 or k?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.6208 rounded to 1 decimal place?\nAnswer: -111.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**3 + 327*z**2\/2 + 282*z - 154.\nAnswer: -(z - 22)*(z + 2)*(16*z - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6 + -31?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 5965, 20169, 47839, 93463, 161529?\nAnswer: 256525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029927.\nAnswer: 3, 343309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*u - 2727 + 417 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -0.1, 80, 53.75?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*u + 2*p, 12 = -p + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 211 = 5*m - 3 - 7, 49 = 3*m + 4*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, -6, -1, -7, -4, -79 in increasing order.\nAnswer: -79, -23, -7, -6, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*j - 32, -581*i + 2*j = -585*i + 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -12 - 4) + -18 + 15 + 0 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007834565 rounded to 5 dps?\nAnswer: -0.00783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9990, -9982, -9974?\nAnswer: -9966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34434 + -18558. What is the hundreds digit of ((i\/3)\/3)\/(1\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxammaajxmjm. Give prob of picking 1 m and 1 x.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19845950 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236741375?\nAnswer: 5, 13, 145687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.8 plus -238?\nAnswer: -497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 + 48?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -8. Suppose 2*j = -3*s - 0*j + 41, -3*j - 81 = -5*s. Let l = s - i. Sort -2\/5, 4, l in descending order.\nAnswer: 4, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 12 = -3*k, -3*k - 33 = -2*x. Let j(t) = 7*t**3 - 4*t**2 + 4*t + 4. Let v(i) = -36*i**3 + 21*i**2 - 21*i - 21. What is x*j(y) + 4*v(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -984*h**2. Let x(l) = -2*l. Calculate u(x(n)).\nAnswer: -3936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let t(u) be the second derivative of -43\/24*u**4 + u + 0*u**3 + 18*u**2 + 0. Let q(k) be the first derivative of t(k). Determine q(d(h)).\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 33627590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/19, 0.4, 2\/11323?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*y + 6436 - 1034 - 602 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.34 rounded to 0 decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**24)\/z**9 assuming z is positive.\nAnswer: z**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 17 (c) -1\/14 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 (base 11) in base 9?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from poppwpllwopopoopww.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628761 - 1257498 + 2*r**3 + 628737.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5299 - -5302. Solve 0 = -4*y - g - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i = 27*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138? (a) 24 (b) 2\/11 (c) -0.2 (d) 1\/5 (e) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzt when four letters picked without replacement from tzttztzztzttttzzzz.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 86. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3728592 and -25.39?\nAnswer: 3728617.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 3. Let v be k(1). Let t(s) = 4*s**2 + s - 14. What are the prime factors of t(v)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 10\/7, 2\/3, 5 in increasing order.\nAnswer: -3\/8, 2\/3, 10\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 6*h**2 - 8*h - 6. Determine v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 i when four letters picked without replacement from {r: 8, i: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 + -187. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8735 - -4.1265. Which is the closest to -2\/251? (a) 0.2 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 1\/(4\/212)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-75)*-3*5*-8*25\/(-200)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + c**2 - 4*c + 1. Let p be x(-3). Let t = -27 - p. Suppose -4 = -2*i + d + t, 2*d = i. Calculate the highest common divisor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15260 is divided by 609.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0292314 days to minutes.\nAnswer: 42.093216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 148. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 146*k + 2. Let p be m(0). Put -4, p, -1, 19 in descending order.\nAnswer: 19, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6174 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 - 1 - 2*k + (2 - 16 + 10)*(-12*k + 2 - 2).\nAnswer: 46*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -6 + -3 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a77a3 + -5?\nAnswer: 7a7799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -2\/9, 1, 289, 0.35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = -5*w + 5, 5*h = -4*w + 18. Calculate the least common multiple of h and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23799220 times 1\nAnswer: 23799220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 3. Let z be n(1). Is 4 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373170 and 8.\nAnswer: 1492680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116539883.000772 + 116539502. Let x = z + 381. Round x to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1987, -1991, -1997, -2005, -2015, -2027?\n\"Answer: -l**2 - l - 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 595*h - 15508. Determine d(25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(15200\/680)*20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12) + 949\/(-792) - (18 + 8772\/(-473)).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - 328. Let x = 526 + k. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*z + 120, 2*j - 38*z + 33*z - 57 = 0. Suppose -153 = -3*v + 63. What is the greatest common divisor of v and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41305530, -41305525, -41305516, -41305503, -41305486?\n\"Answer: 2*m**2 - m - 41305531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6*c + 2263*c**3 - c**2 + 0 - 1138*c**3 - 1130*c**3 to f*c**2 + w*c + l + s*c**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 52. Let k be 34\/(-66) - 7\/r. Which is the biggest value? (a) k (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 48, 2, -14 in decreasing order.\nAnswer: 48, 2, -14, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758297?\nAnswer: 193, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13039*f**2 + 3533570*f - 275. What is u(271)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y - 12. Give i(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3003025 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/6 + (-207)\/(-12))\/((-42)\/(-624))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2)\/(k\/((k\/(k**(-2\/3)\/k))\/k*k)))\/(k\/(k*k*k**(-1\/4)))**29*((k*((k**0*k)\/k*k)\/k*k)\/(k\/(k**(-6)*k)))**(2\/57) assuming k is positive.\nAnswer: k**(1579\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 85. Let r = 90 + m. Which is the second smallest value? (a) -4 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4996 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 16, 24, 28, 22, 0, -44, -116?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*k - 51*k = -91*k - 6216 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, -537\/5, -7?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 5 (c) -6.616 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -6, 35, 112, 237, 422, 679?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - w - 15 = -2*w, -t + 2*w = 3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2079338777 - 76*v - 2079338777.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418392 divided by -10728?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*u + 988 = 0, -5*g - 11*u + 1620 = -6*u. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15332 + -15?\nAnswer: -15351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1190\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*n - n - 4 = 0, n = 5*t - 50. Let g = -32 - -95. What is the highest common factor of t and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15609260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/42 - (-1746)\/14. Let f = 380\/3 - g. Let i be (-24)\/32 - (-9)\/28. What is the nearest to -1 in i, -1\/3, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 11*r**2 + 14*r + 5. What is w(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 195 - 18. Let j = 87 + z. Calculate the remainder when 21\/(-2)*(-40)\/15 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-6)*6*-3)\/(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 155779.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36613935679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57046, 57048, 57050, 57052, 57054, 57056?\nAnswer: 57058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5. Let t be (b - -19)\/(4 - 3). Let f be 51\/(-15) - (-8)\/t. Is f bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11401*w**2 + w + 13374*w**2 - 3722*w**2.\nAnswer: 21053*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 4, o: 8}. What is prob of sequence wooo?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(0*w + 0*w + 2*w)*(1 + 4 - 4) to n*w + m and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 750560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02004 rounded to four decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -751, -2, -0.4, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -146. Suppose g*k + 24 = 5*k. What is the least common multiple of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -97, -737, -2467, -5833, -11381, -19657, -31207, -46577?\n\"Answer: -91*q**3 + q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4868, -9711, -14552, -19391, -24228, -29063, -33896?\n\"Answer: s**2 - 4846*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 5.11. Let q be (-496)\/60*2\/(-76). Let t = 1\/57 - q. What is the third smallest value in z, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -225, -351, -477, -603, -729, -855?\n\"Answer: -126*c - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o - 120. Let n = 749 - 766. Let w be m(n). Let h(b) be the third derivative of b**6\/120 + b**5\/60 + b**4\/24 + b**3\/6 + b**2. Calculate h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1233003311?\nAnswer: -1233003303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooiyohoyooiq. Give prob of picking 1 o, 1 y, and 1 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/52 + 6\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*r + 7 + 4, 5*r + 32 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*n = -864*n - 699*n + 69560 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + x = -1, -4*x = 4*r - 2*r - 2. Let h be (-94)\/(-3) + r\/(-1 - 2). Let s = h - 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)\/sqrt(3)*1 - ((-2*sqrt(22))\/sqrt(11) + 3))**2*5.\nAnswer: -210*sqrt(2) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 31, 17, -15, -65?\n\"Answer: -9*z**2 + 31*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 + 13632*p**2\/13 - 191240*p\/13.\nAnswer: 2*p*(p - 14)*(p + 6830)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 519157265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 1\/11, -7, 5\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4736 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146244636533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 86 - 1024 - 7*a**2.\nAnswer: 2*a**2 - 1110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176) - sqrt(176)) + -3 - sqrt(176)) + sqrt(176).\nAnswer: -12*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19377505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - 29\/(-9). Let r(v) = -2*v + 3. Let y(i) = -4*i + 12. Let j(k) = r(k) + y(k). Let o be j(0). What is the greatest common divisor of h and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 225353861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -108, 23, 3\/4, 1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81905*o*t**3 + 1230*o*t**2 - 6*o + 2*t**3 wrt t?\nAnswer: 491430*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*f + 540*f + 537*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4799 = -55*a + 5486. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12296*l + 11734*l - 8992 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 12. Let h(k) = -k - 1. Let q(g) = 6*h(g) - w(g). Let f(p) = 56*p - 49. Suppose -1475 + 1295 = 30*x. Determine x*f(a) - 49*q(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 4.08. Let a = 5 + o. Suppose -9 = 5*m + 4*t, -2*m = 2*t + 3*t + 7. Put a, m, 5 in decreasing order.\nAnswer: 5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*p, -p = -2*z - 5*p + 18. Suppose 4*u = 5*u + 5*r, -5*u + 30 = -5*r. Solve 0 = u*h - f + 11, -2*h = z*h - 4*f - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*r = -10, 0*s - 3*r = -2*s - 15. Suppose -2*z - 4*o + 26 = s, -3*z + z - o = -41. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 6. Let d be s(3). Solve -3*a = -2*w - d*a - 13, 2*a = -3*w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5711 by 515.\nAnswer: 5711\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601931 is divided by 152.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.73 and -2407 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*w + 1845*w + 846*w - 2*w + 3*w - 4*w + (3 - 4 + 3)*(2*w + 0*w - 4*w) + 3*w - w + 0*w to y*w + n and give y.\nAnswer: 2554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3756 - 3755. Do v and 36\/139 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 + -118.8. What is n rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*n + 86932 = -4099*n + 1712*n for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**2 + 3*d - 4. Let c be y(3). Suppose -3*u + 0*i = 3*i + 174, 2*u - i = -c. Which is smaller: u or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*q + 36*q + 11554. Does 57 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.007306 rounded to 2 decimal places?\nAnswer: 14.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a tonne in kilograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397664 and 7561464?\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 29 - 116 = 0. Let i = 32 - s. What is the second derivative of -3*d + 36*d**i - 2*d - 48*d**3 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p*p**14)\/p)*p*(p**(-8)\/p)\/p assuming p is positive.\nAnswer: p**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 + -2*1 + 1. Let z = -1 + 5. Suppose -8*h + 8 = -3*h + z*b, h - 4*b = 16. Solve -m = h*m + 2*s + c, 3*m + 14 = -2*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 50. Let u be i(0). Suppose 0 = 9*y - 7*y + u. Let s = 21 - y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6895 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/4*9\/(189\/(-14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 3*s + 5, -2*s = -5*y - 7*s - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26811 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/12057? (a) 0.2 (b) -1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.4 + 1.6. Let k = o - 8.9915. Round k to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 91*v = -610 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -526190*f + 13154756. What is w(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91807 minus -22.35?\nAnswer: 23.26807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 82*m - 34*m.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 910 + 120 = 0. Let s = 28 + -8. Calculate the remainder when j is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/21 + 44\/(-70))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227492892 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 + 4*y**2 - y - 4. Let w be r(2). Let a = w + 24. Solve 3*z + 0 = u - a, 0 = 4*u - 2*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -2076, -4655, -8264, -12903, -18572?\nAnswer: -25271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 times 79050?\nAnswer: 29880900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 5. Let m(j) = -j. Suppose -3*f + 4 = -5*y, -2*f + 2 = 3*y - 7*y. Give y*c(x) - 4*m(x).\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 36*d - 86 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.41 - -36. Let d = -3.89 - -4. Let y = j + d. Which is the biggest value? (a) y (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/18))**(13\/3)\/(d*d\/d**(-2\/27))**(-3\/5) assuming d is positive.\nAnswer: d**(271\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8. Let q(s) = s - 16. Determine -5*g(w) + 2*q(w).\nAnswer: 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, k: 2, t: 5, e: 3}. Give prob of picking 2 e and 1 g.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16022 (base 7) to base 4\nAnswer: -1011323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 4, w: 1}. What is prob of sequence um?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j**2 + 12 + 3*j**3 - 5*j + j**3 - 2*j**3 - 3*j**3. What are the prime factors of a(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2790 and 930.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1220 - -1252. Solve -p - 3*p = -4*j - f, -8 = -3*j - 5*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 s, and 1 d when four letters picked without replacement from {z: 4, x: 6, p: 3, d: 1, s: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 5, h: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.06875?\nAnswer: 0.33125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625 - -766. Calculate the remainder when m is divided by 406\/21*3\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 + 490.999994. Round f to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -576212*p**2 - 41911*p.\nAnswer: -1152424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 19. Let r(f) = -5*f + 20. Let i(a) = 6*m(a) - 5*r(a). Let g be i(-12). What is the first derivative of -40*x**2 + g + 40*x**2 + 3*x**4 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 5 - 57\/24. Let k = 53.9 + -54. What is the third biggest value in -0.5, -3\/16, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 252905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3835000 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 200 + 16*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 10)\/((-2)\/(-2)). Let l be (-21)\/(-2) + 1\/2. Let t be l\/(f\/(-6)*-3). Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 3. Let l be k(5). Is 12 a factor of l\/5*(-20)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b + 1. Let w be v(2). Suppose 4*h + 0*h + 52 = -4*r, -4*h = -3*r - 18. Sort r, -4, w in ascending order.\nAnswer: r, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -97890, -0.4, 0, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e60c + -5?\nAnswer: 5e607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7194, 7144, 7094, 7044?\nAnswer: 6994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and 5868 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -16) + (-12 - -5). Suppose -6 = -10*y - i. Suppose -2*l + 4 = -0*l. Sort 1, y, l, -6 in ascending order.\nAnswer: -6, y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 55*b + 3025.\nAnswer: (b - 110)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-980)\/(-686)*784\/20. Calculate the highest common divisor of 22568 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 28. Let m(v) = v - 9. Let w(u) = 16*m(u) - 5*y(u). Let g(i) = -i - 1. Determine -3*g(q) + w(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*46 + (-1 - -5). Let m = 149 - l. Solve 0 = 2*g - 3*u - m, -3*g + u = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318566?\nAnswer: 2, 47, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z. Let d(q) = 53840*q - 1. Give y(d(g)).\nAnswer: 376880*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 6*g - g. Let f = -13 + g. Let b = 28 + -1. What is the highest common divisor of f and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33805 - -33755.754. Let d = -49 - h. Let q = d - -0.014. Round q to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2181704 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74455 is divided by 421?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2977.0224 + 2980. Let d = a - 3. What is d rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-84)*-7*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 2\/9 (c) -0.2 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 3. Calculate g(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*-4*(-5)\/(-20). Put 1, -2, 3, c in decreasing order.\nAnswer: 3, 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -2\/9 (b) 102 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40527*c**3 - 40538*c**3 - 40523*c**3 + 121597*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + 6. Let l = 9 - i. Solve p - 1 = -m - 0, -4*p = -l*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*t**3 - 9*t**3 - 51*t**3 - 15*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/15 - (1252\/(-160) - 2) and 163\/870?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**3*q**2 + 2*k**3*q - 135*k**2 + 71*k*q - 1182673*m**3*q**2 + 124*m**3*q wrt q?\nAnswer: 6*k**3 - 2365346*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 13*b + 40. What is k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:39 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1185, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*a - 5*f - 32 = 263*a, 7*f + 30 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30029030*i**6 - 29207*i**2 - 1030*i.\nAnswer: -3603483600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165477 divided by 3?\nAnswer: 2165477\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964724, -3929440, -5894156, -7858872, -9823588?\nAnswer: -11788304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1110011000100001001011?\nAnswer: -1110011000100001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*u + 38*u + 49*u**3)*(3*u**2 - 2*u**2 + 5*u**2).\nAnswer: 294*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.297952 rounded to 1 dp?\nAnswer: 122.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*q + 4857 - 3900 + 14597. What is the highest common factor of q and 2323?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/161 + (-307)\/92 and -7\/1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3882768 and 720.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33260*d**2*g**2*p**2 - 7*d**2*g*p**2 - 6*d**2*g*p + 82*d*g**2*p**2 - 91*d*g*p**2 + d*p - p wrt g?\nAnswer: 66520*d**2*p**2 + 164*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11009 + 11134.4. What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4779545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -31 - (1 + -1) - -29 - -4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -2 - -3) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -64?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02267*3423.42.\nAnswer: 77.6089314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 1 (c) -0.2 (d) -0.129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o**5\/4 - 1749*o**4\/4 + 21123*o**3\/2 - 60837*o**2 + 107502*o - 25992 = 0 for o.\nAnswer: 2\/7, 3, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 0.5 (c) 2\/17 (d) -0.3 (e) -3 (f) -58\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5357*l + 792834. What is v(-148)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 143*o - 839. Let c be d(6). Calculate the greatest common factor of c and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5933 and 43974?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 3 - (-47 - 2). Find the common denominator of 7\/3 + (-8)\/w and (-9)\/3 + (-100)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006301 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -70. Suppose 28*b - 29*b + c = 0. Let h(l) = -l**2 + 5*l + 5. Give h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from icvaciacvbaa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**3*r)*r**(-5)*((((r**(1\/2)\/r)\/r)\/r*r)\/r)**24)**(-1\/5))**12 assuming r is positive.\nAnswer: r**(816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*751357\nAnswer: 75135.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 771.0471122 + -770.3871. Let c = -0.76 + 1.42. Let w = q - c. Round w to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2061912 and 4028?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118831203 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17077 - 8535 + n - 8542. Let d(b) = -4*b - 4. Calculate d(z) + 2*g(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 - 1 + 2 + 5*i**2 - 6*i - 3. Let o = -4 + 7. Suppose 2*p - o*p - 4 = 0. Determine z(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -2*x**2 + 0 + 1\/2*x**3 + 0*x - 5\/24*x**4 + 1\/60*x**5. Let f be n(5). Solve -f = -3*t + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176091460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a minute?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 15115*h - 15110 = 0. Calculate h.\nAnswer: 1, 3022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655051845 divided by 5.\nAnswer: -131010369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3302 times 1\nAnswer: -0.3302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 204256950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11685 and 4655.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000011 (base 2) in base 8?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 310 and -87762.\nAnswer: -27206220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2688*c + 1463. Let i(w) = 112*w + 61. Let f(a) = -49*i(a) + 2*z(a). Let j(l) = -4 + 407517*l + 10 - 407510*l - 2. What is 4*f(t) + 63*j(t)?\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 745, 1440, 2131, 2818, 3501, 4180?\n\"Answer: -2*m**2 + 701*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1162 + 1168. Let p(c) = 4*c - 17. Give p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeh when three letters picked without replacement from {h: 7, e: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15*h*h\/(h\/h**(-18)) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, 1, 678, -6, -3 in decreasing order.\nAnswer: 678, 12, 5, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153493161 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/277 - 560\/831. Let y = -13.4 + 0.4. Let s = y - -9. Which is the closest to 2\/5? (a) 4 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(425) - (sqrt(425) + -5 + sqrt(425) + 2 + sqrt(425)))**2 - (-2*(sqrt(425) + 0)*-6*-6)**2.\nAnswer: -2201484 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72657 smaller than 15049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfdjfbbbhbhdbfj. What is prob of picking 1 b and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10020320 - 23?\nAnswer: -10021003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 12*f + 3710 = 0. Let q = f - 248. What is the greatest common factor of 136 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109291232 to the nearest one million.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0*u**6 + 0*u + 0*u**4 + 0*u**5 + 0 - 7\/3*u**3 - 1\/42*u**7 - 24*u**2. What is the first derivative of p(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgk when three letters picked without replacement from {g: 14, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43965808753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 8. Let j(y) = -y + 5. Let n(o) = -8*j(o) + 5*r(o). Let l(g) be the second derivative of -g**4\/12 + g. Give n(l(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170954689 to the nearest integer?\nAnswer: 13075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*h + 3551 = 3*h - 5089 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71.6 - -71.3. Which is the closest to y? (a) 12 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-591)\/22 - (-328918)\/12412?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92480908 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u**2 - 3*u + 22. Let i be l(0). Let b = -7 + 12. Solve -b*a - z + i - 1 = 0, -2*a + 5*z = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b0433 + -4?\nAnswer: 7b042b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-14 - (-11 + -9)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -0.22 (c) -5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 600.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5543 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1754.398\nAnswer: 526.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:45 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -17*r + 20*r - 3*n, -4*r + 5 = -3*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 33. Let c be 0*4\/(1 + -5). What is the units digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230 - 220. Solve 5*w - 25 = n*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*v + 3 = -652*v. Solve v*s - 3*j + 21 = 0, -j = -2*s - 11 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*w = -361 - 27 - 1091 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.4. What is the nearest to -2\/9 in -1\/4, d, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, -4, -3, 8, -20 in ascending order.\nAnswer: -20, -5, -4, -3, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -18) + (-3 + 2 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -357, -289, -177, -21?\n\"Answer: 22*n**2 + 2*n - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 31. Sort n, 5, 0.058.\nAnswer: n, 0.058, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2729*f**2*i*q - 462*f*i*q - 3*f*i + 4*i*q wrt f.\nAnswer: 5458*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 16552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i. Let p(c) = -233*c**2 + 55*c + 206. Give p(z(q)).\nAnswer: -3728*q**2 + 220*q + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2645?\nAnswer: -2\/2645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 404*m**2 - 171*m + 5. Let n(p) = -401*p**2 + 168*p - 6. Let o(w) = -6*l(w) - 5*n(w). Find the second derivative of o(i) wrt i.\nAnswer: -838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*k + 7, 5*r - 4*k + 16 = 33. What is the nearest to -1 in -3\/34, r, 0.4, 5?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*5*sqrt(11) + -2.\nAnswer: -80*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*y + 20 = 0, 4*x - 54*y + 52*y + 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.3, 12599?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 3. Let l be r(3). Let s be 6\/(-4)*644\/l. Let o = 45 - 22. What is the highest common factor of o and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 5 + 0)*(0 + 0 + 2*p) - 7*p + p + 3*p - 1 + 2*p + 1)*(-2 - 2 + 3)*(-4 + 1 + 4).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -33. Let r = 0 + 2. Let a be (3 - (-2)\/(-1))*r. Solve -a*s - s + j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.6. Let j = 61.7 + 213.3. Let d = 275.3 - j. What is the biggest value in d, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0038 - -4.0038. Is a > 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6169 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 7. Let u be (0\/(-2) - -12) + -3. Let z be p(u). Solve 4*r + 22 = f, -3*r - 19 = -z*f - 0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*f = 5, -29*x + 26*x - f - 1 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 42. Suppose -2*j + 77 - q = 0. Suppose 5*m + 2*h = 34 + 36, 2*m - 5*h - j = 0. What is the smallest common multiple of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 11 (b) 1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25554547 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/54*(-1026)\/228. Sort p, 16, 11, -4 in descending order.\nAnswer: 16, 11, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094863577 to six dps.\nAnswer: 0.009486","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3168) - sqrt(3168))\/(-1*sqrt(11)*-2).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*n**6 + 63*n**4 - 2*n**3 - 2*n**2 - 162*n - 24?\nAnswer: -8280*n**3 + 1512*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 1, d: 11, n: 3, s: 1, i: 2}. What is prob of sequence ibdd?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-2\/9)\/j)\/j)*j*j**(-1))\/(j*j*j\/(j**(-2\/19)\/j*j)*j*j**(-2\/33)))**(-28\/9) assuming j is positive.\nAnswer: j**(43316\/16929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164419397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k. Let s be -7 + 6 + k + 7. Solve -6*r - s = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2*j + 2*j)*(9 + 5 - 6) - 8*j + j - 2*j to p + o*j and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/89 or 0?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 2*x**2 + 2*x - 17. Let k be s(0). Let v(t) = -4*t**2. Let j(r) = r**2. Let n be (-70)\/12 - (-10)\/(-60). Give k*j(b) + n*v(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -7.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1102125 and -113\/40.\nAnswer: 8817000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 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: Suppose 334*b = 342*b - 176. What is the remainder when 2241 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -109, -124, -157, -214, -301, -424?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153371 is divided by 108?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29964 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (1*62)\/(38\/(-114))?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 8*q**2 - 7*q + 3. Let l be p(-7). Let t(g) = g**3 - g**2 - 1. Let b(m) = -2*m**3 + 1. Let w(d) = l*b(d) + 3*t(d). Factor w(s).\nAnswer: -3*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96793, 96794, 96795?\nAnswer: 96796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 6786.\nAnswer: -6785.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 10979, 1, -4 in increasing order.\nAnswer: -4, 0, 1, 14, 10979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/(-49) - -3)\/(23\/15456). Factor -2\/3*q**2 + 64*q - a.\nAnswer: -2*(q - 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 13*w + 13*w)*(0 + 0 + 6*w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m**3 + 2*m**2 + m - 2. Let o be k(1). Is 4 a factor of 5\/(o\/(-21))*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227123021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070060429 rounded to 4 decimal places?\nAnswer: 0.0701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -4. Calculate the remainder when 87 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjjjjjjjjjjjjjjwjj. What is prob of sequence wjw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98)*6 - 2*sqrt(2)*2) + 1 + 2*(1 + sqrt(2))**2 + (sqrt(20) + sqrt(240)\/sqrt(108))\/sqrt(10).\nAnswer: -554*sqrt(2)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1410 + -0.2.\nAnswer: 1409.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151660 is divided by 5448?\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 11*v + 11. Suppose -20*q = -26*q - 54. Calculate a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**2 - 38*b + 39. Determine v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 31*d + 125. Determine s(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*x - 4*x**2 + 33*x**2 - 34*x wrt x?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 10 - (-7 - -8 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*g**5 + 34667352*g**4 - 144*g**3 - 30815296*g**2\/3 + 27391456*g\/9 - 2282624\/9 = 0 for g.\nAnswer: -71332, -2\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 6*a - 75. Suppose 9*l + a - 160 = 0. What is the smallest common multiple of l and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 4\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 19686 - 30261. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*36\/(-27)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461492, -461487, -461482, -461477, -461472, -461467?\nAnswer: -461462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -6. Let a be (-18)\/l*(-16)\/3. Let p = a - -10. Calculate the remainder when 70 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(-2\/17)*m)\/m)*m*m*m**8)\/(m**(-3\/5)*m\/m**(-2\/3)))**(-38) assuming m is positive.\nAnswer: m**(-87704\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 0*l + 4*l**3 + 0*l + 3 + 4*l**2. Let w(h) = -3*h**3 - 3*h**2 - 2. Let z be (-2)\/(1*1\/2). Calculate z*u(r) - 6*w(r).\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05347 (b) -0.2 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*i**2 - 134*i**2 - 3 - i + 149*i**2.\nAnswer: -559*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:07 PM?\nAnswer: 534","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -1203 + 14661. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/21))\/(n*n\/n**8))**47)**(-3\/14) assuming n is positive.\nAnswer: n**(-7003\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6288*w - 6249*w = 1131 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*i**3 - 43*i**3 + 1 - 8*i**2 - 37*i**3 + 122*i**3 - i**4 - 3*i as n + g*i**4 + t*i**2 + h*i + l*i**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 - 1. Let r be b(-1). Let g be (84\/30)\/((-2)\/(-5)) - -2. What is the greatest common divisor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 85. Let m be v(13). Solve 4*a = 4*w - m, 2*w = 7*w + 3*a + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-2)\/(-8)*(-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 7479882*j\/5 - 8975844.\nAnswer: -2*(j + 6)*(j + 3739935)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 216*w - 62. Let z be d(6). What is the tens digit of (-6 + 3)*z\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 579 + -516. Suppose 13*f - c = -11. Sort 9, f, 3 in decreasing order.\nAnswer: 9, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656891 + -3\nAnswer: 656888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:02 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-1)\/(-12)). Suppose 9 - 41 = 4*i. Let q be (-3)\/h - 384004\/i. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -2. Suppose v - 6*v - s = 0. Is (1 + v)\/((-2)\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-96) + 83\/4. What is the third derivative of -v*q**3 - 8*q**3 + 626 + 17*q**2 - 631 wrt q?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(27)\/sqrt(3)))\/(sqrt(12) - (-2*sqrt(108) - sqrt(108) - sqrt(12))).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14418042 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 9*k + 9. Let t(d) = d**2 + 2*d - 2. Let b(y) = 2*o(y) + 9*t(y). Let u be b(1). Are -1\/9 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -672*c**2 + 6*c + 678*c**2 - 263 - 9*c + (-c - 3*c + 3*c)*(0 - c + 0) to x*c**2 + z*c + v and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 29. Suppose k = c*k - 10. Let t = 1 + k. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*-6*(0 + sqrt(63))*-2 + -5)**2*-1.\nAnswer: -9153 - 648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c + 21. Let o(u) be the third derivative of -u**4\/12 + 5*u**3\/6 - 8*u**2. Let q(d) = -5*b(d) + 21*o(d). Let x(j) = 2*j**2. Calculate x(q(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 26*k**3 + 6*k**2 + 6*k. Let j(c) = -c**3 - 41*c**2 - 212*c - 76. Let w be j(-35). Let v(t) = -52*t**3 - 11*t**2 - 11*t. Determine w*v(m) - 11*f(m).\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125781523 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 21 = 5*d - 9, 4*d - 2*v = 24. Let z be (48\/(-20))\/(d\/(-15)). Solve x + o = -z, 0*x - 3*o = -x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwiw when four letters picked without replacement from eeehehhwehiew.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Suppose -5 = -5*c + o - r, 4*c - 3 = o. Solve 5 = -c*s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734888 is divided by 2313.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391c8 (base 13) in base 15?\nAnswer: -96557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -51\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5747 - -0.57. What is u rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 3015, 6156, 10555, 16212, 23127, 31300?\nAnswer: 40731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/40 and -34\/5825?\nAnswer: 46600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7614 (base 8) to base 12\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 - 4*q**3\/3 - 5*q**2 + 2*q - 4. Let y be c(6). What is the greatest common factor of 182 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a6c003 - -4?\nAnswer: 14a6c007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = v, -3*h - 7*v + 12 = -2*v. Let n = h - -56. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/2)\/(58\/29)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -1, -3, -5, 907?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86957 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:19 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 16.465.\nAnswer: 16.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 1, e: 5, r: 5, h: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - 5235*c + 41415. Give o(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 19*c + 17. Let q be m(8). Calculate the common denominator of q + 6 - 183\/(-45) and 57\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20736 is divided by 518.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 437.71 from -0.089.\nAnswer: -437.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3816 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 586875 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/380 and -39\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5937.517ug?\nAnswer: 5937517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 (base 15) in base 9?\nAnswer: 22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 5*d. Let h(w) = 11*w**2 - 14*w. Suppose 9 - 49 = 4*u. Let p = -18 - u. Suppose -6 = -2*m - 0. What is m*h(a) + p*q(a)?\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-25 - 24) + (35 - 29).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 3. Let f(b) = -3. Let n(i) = 15. Let s(z) = -11*f(z) - 2*n(z). Let l(h) = -4*j(h) - 6*s(h). What is the smallest common multiple of l(-4) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 3, 5.\nAnswer: -55, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01792 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -38. Let f = 12.7 - m. Let i(j) = -j**2 - 3*j - 4. Let o be i(-3). Which is the smallest value? (a) 3\/4 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -235.0000591. Round j to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in 3\/5, -9\/5, -102, -11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**20\/(j*j\/(j*((j**(-4)\/j)\/j)\/j))**24 assuming j is positive.\nAnswer: j**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w + 6. Let t be i(8). Suppose -2*c - 3*h = -7 - 0, -12 = -2*c + 2*h. Suppose -5*n + 40 = -3*b, c*n - 2*b - 13 = t. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2301.198 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -144*z - 1010. Let c be v(-7). What is the nearest to 1\/2 in c, -0.1, -0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5\/7 - 2529*h**4\/7 - 71586*h**3 - 37782156*h**2\/7 - 987500088*h\/7.\nAnswer: -3*h*(h + 82)**3*(h + 597)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p. Let n(w) be the second derivative of w**4\/3 - 20*w. Calculate c(n(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 3*x**2 - 7*x - 7. Let d(s) = 3*s**3 + 2*s**2 - 5*s - 5. Suppose 0*i + 20 = -4*i. Let w(q) = i*y(q) + 7*d(q). What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -5, 0 in decreasing order.\nAnswer: 4, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-24)*(-39)\/(-26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 d when three letters picked without replacement from {a: 6, i: 1, y: 4, h: 1, d: 1, c: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 36*v**2 - 10*v - 103. What is o(-37)?\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m - 24. Let u be j(-14). Suppose 5*i - 436 = u. Suppose -i = 7*y - 592. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.6 + 30.4. Let f = u + -99. What is the biggest value in 0.09, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Let u = -0.3 - 10.7. Let y = u - -16. Put y, -2\/25, m in decreasing order.\nAnswer: y, -2\/25, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 43. Let j be (36\/(-8) + g)*6. Let h(c) = 11*c**2 - 7*c - 9. What is the tens digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 104*g**2 - 610*g\/3 + 308.\nAnswer: -2*(g - 1)*(g + 3)*(g + 154)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 - 5*p**4 + 2*p**4 + (5*p**4 - 10 + 10)*(2 + 0 + 2) to o + w*p**4 + i*p**2 + a*p + j*p**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 6\/11 (c) -78 (d) -0.2 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133)*3 + sqrt(133))*2)\/(-1*sqrt(14)\/sqrt(2)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 - 200*y - 2008. Let d(v) = 8*v**2 + 200*v + 2012. Let q(j) = -2*d(j) - 3*r(j). Solve q(x) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84 and 0.7?\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -236 + 252. Suppose -50 = -5*m - 5*u, -4*m + 0*m - u = -55. Let b = o - m. Which is greater: 6\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1\/4, -2\/3, 1, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.848962987 rounded to four decimal places?\nAnswer: -0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -16*j**2 - 728*j - 95. What is i(-42)?\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + n - 4 - 0, -4*n = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134220 + 13011?\nAnswer: 202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 1, t: 2, l: 2, e: 5, b: 8}. Give prob of picking 2 e and 2 l.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.0377597, -0.2, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -7, 917, 1 in descending order.\nAnswer: 917, 4, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -28044\/449?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - l - 6*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.17744555 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4718808682.\nAnswer: 2, 7, 3557, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(1 + 9 - 3)*((3*p - 2*p + 0*p)*(3 - 4 - 1) + p - 4*p + 2*p) + (-4 + 0 + 3)*(2*p + 0 + 0) - 4*p - 3*p + 6*p in the form a*p + d and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*m**2 + 2*m + 15*m**2 - 33*m**2)*(-4*m + m + m)*(2 - 3*m + m - 6).\nAnswer: -8*m**4 - 8*m**3 + 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 70 = -5*f + 60, 0 = -3*s - 2*f + 79. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-50)\/15)\/(2\/(-3)). Let y(o) = -650*o - 33. Let q(h) = -216*h - 11. Let j(g) = 17*q(g) - 6*y(g). Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - 19) + -6 + 886.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.07 - 4. Let h = g + -2.07. Sort 1\/4, -4, h in ascending order.\nAnswer: -4, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/15552880 and -65\/6221152.\nAnswer: 31105760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z + i = 52, 0 = 2*i - 8. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 4*m**2 + 7*m + 6. Let d be o(-5). Is (-834)\/(-10) - d\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -758080 by -1472.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i - 2. Determine l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = 4*a + a, 3*a = 4*i - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, -50, -161, -272, -383?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33631\/4113 + -30\/457. What is the common denominator of k and -85\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8297*f - 2804359. What is l(-338)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let d be l(-1). Let k = -0.2 + 0.5. Which is the nearest to d? (a) -2\/7 (b) k (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 = -5*q + q, -5*m + 35 = 5*q. Let r = m - -2. Let y(v) = v**2 - v - 1. Let l(u) = 1. Let j(i) = r*l(i) + y(i). Calculate j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/76 - -8 - 7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65351 and 268411.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(3) + sqrt(42))\/sqrt(2))\/(sqrt(9)\/sqrt(3)*-5).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 3, -23, 1\/7, 0.06, 0.5 in decreasing order.\nAnswer: 3, 0.5, 1\/7, 0.06, -1.9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1479 - -1482. Let v(w) be the first derivative of 0*w**4 + 0*w + s + 0*w**2 - 2\/5*w**5 - 3*w**3. Find the third derivative of v(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/384*4*((-3)\/(-30))\/1\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h + 1013 - 1021. Solve 0 = 3*a, 3*a - 13 = 3*s - h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2355 divided by 3.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**4 + 28*z**3 + 38*z + 2 - 6*z**4 - 15*z - 21*z - 2*z**2 in the form s*z**4 + p*z + g*z**3 + h*z**2 + q and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5440 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16103.04mg?\nAnswer: 16103040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 17 + 3, 3*o - 3*q + 336 = 0. Is (-2459)\/(-2) + o\/(-214) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t**3 + t**2 + 9*t - 11. Let o be s(1). Solve -18*g + 22*g + o = -3*n, 0 = -3*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10)*1)\/((-2)\/15). Let w be (17 - (3 - 2))*(f + -4). Calculate the greatest common factor of 256 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 154*p**3\/3 - 3*p**2\/2 + 5*p - 5. Let i be a(2). What are the prime factors of i\/55 - (-2)\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (222\/(-48) - 3\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*-1*sqrt(95) - sqrt(95))\/sqrt(5))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3846*c + 7196 = -3589*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x - 2. What is the tens digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011000011001101010 (base 2) to base 4.\nAnswer: 3120121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 20*b**2 - 36*b + 14. Let q be i(-18). Suppose 2 - q = -6*d. Solve -5*l = -4*p - 9, l - d*l - 1 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 + 15*y + 5. Let z be c(-5). Let b = -54 + z. What is the biggest value in b, -3\/10, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x**2)*((x + 0*x + 0*x)*(-381*x - 56*x**2 + 381*x) + (2*x - 2*x - 3*x)*(-5*x**2 + 3*x**2 + 3*x**2) + (0*x + 4*x - 3*x)*(x - x**2 - x)).\nAnswer: 120*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/((1\/6)\/((-2)\/6)). Let p = -10 - x. What is the smallest common multiple of 2 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0 + 0 - 4*l + 2*l + l - 4*l + 2*l + 3*l + (-2*l + 4*l - 4*l)*(-3 - 2 + 6) - 8*l - 12*l + 45*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 21 = 28*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/(6\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 133742858 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212210 (base 3) in base 15?\nAnswer: 10c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -12, 8*a - 1 = 13*a - 2*v. Sort -99, a, -3, -0.1 in descending order.\nAnswer: a, -0.1, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/(-50) - (-2)\/5. Let o be l\/116 - (0 - 0). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*a + 158*a + 4 - 2 + 172*a - 2 + 144*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4970 and -1?\nAnswer: 4969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 11. Let l(x) = -x - 5. What is the units digit of l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10*1*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 2}. What is prob of sequence aaaz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5, -113?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13161 = 5*f - 4*p, -10*p + 13*p = -3*f + 7875. What are the prime factors of f?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9502 = 12*f - 21926. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1271 + 1279. Solve -20 = -4*n - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19744*w + 108 = -19735*w. Solve 13*m + 1 = -4*z + w*m, -2*z + 4*m = 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483595 is divided by 23026.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8554.\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3 - 917147*r**2 + 105144598164*r + 52572528369 = 0.\nAnswer: -1\/2, 229287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i + 3*k = 87719, -4*k - 109641 = -5*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d + 2*d + 70*d**2 - 1 + 0*d. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 21*i**2 - 35*i - 46. Let o be c(19). What is the third derivative of n**3 + 35*n**2 + 32*n**2 - 52*n**2 + o*n**4 wrt n?\nAnswer: 264*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 5. Let l be c(-3). What is the common denominator of (-501)\/(-252) - (18\/14)\/(-3) and 0 - l - 154\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w**2 - 2. Let z(x) = 29*x**2 - x + 5. Determine 5*b(g) + 2*z(g).\nAnswer: -12*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -145*g - 16. Let h be s(-24). Suppose h - 361 = 3*u + 5*c, 2*c + 5182 = 5*u. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*v + 393*v + 292*v)*(0*v**2 + v**2 + v**2).\nAnswer: 908*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1, -24, -2\/683, 0.147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 p, and 1 e when four letters picked without replacement from eaeeaeaapepsee.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 5*v - 4*h, v - 97 = 2*v + 5*h. Let m = 140 - 298. Let q = v - m. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4497 + 2537. Let j = 1960.0903 + k. What is j rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -10*g**5 - 45*g**4 - 5*g**3 + 65*g**2 + 15*g - 20 = 0.\nAnswer: -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 66*s - 926. Calculate o(9).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*w + 1491, 100*w - 763 = 99*w - 2*a. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l - 0*l. Let u = -3 + 8. What is the second derivative of 0*w**5 - 2*w**u + 0*w**l + 2*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v + 85*v + 126 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 12:13 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892403?\nAnswer: 43, 131, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*h + 10980 = 292*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4158 and 97\/770.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 54*o**2 + 38*o - 795. Let j be a(-53). Sort j, 3, -51, -2, 5 in decreasing order.\nAnswer: 5, 3, j, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 39.4. Let l = 1318.8 + -1318. Sort l, u, 0.3, 2\/9 in decreasing order.\nAnswer: l, u, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 - -1818. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002113 (base 4) to base 9\nAnswer: 5738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/12241139?\nAnswer: 12\/12241139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 15*j**2 - 2*j - 2. Let z(n) = 2*n**3 + 3*n - 3338 + 0*n**3 + 52*n**2 - 38*n**2 + 3341. Determine 3*q(b) + 2*z(b).\nAnswer: -2*b**3 - 17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 421, 975, 1761, 2785, 4053?\n\"Answer: v**3 + 107*v**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 23 = -11*j, 7542*j - 7537*j = -5 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6048 - -6048.08959. Let g = -0.089 + z. Round g to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 1321202884055 - 1321202884055.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 398083185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 0.682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 - 83. Let g = 66 - q. Let d = 0.5 - g. What is the nearest to -1\/2 in 3\/8, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.15 * -9.\nAnswer: 19.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*b, 2*u = 4*u - b - 3. Suppose 0 = -8*p + 7 + u. Sort p, -3, -2 in ascending order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 50895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -12*l - 209. Let o be ((-2)\/(-6))\/(8\/(-408)). Let v be b(o). What is the third biggest value in 0.3, v, -8\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*i + 144 + 301 - 2*i**3 + 155 - 47*i**2 + 13*i**2 = 0. Calculate i.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + 5*g**4\/12 + g**3\/3 + g**2\/2 - g. Let b be c(-2). Let a = 412 - 404. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4 - 13*h**3 - 2192*h**2?\nAnswer: 72*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -5, 5 in increasing order.\nAnswer: -7, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b + 5*b**2 + 0*b**4 - 1\/12*b**5 - 1\/60*b**6 + 0*b**3 + 0. Find the third derivative of n(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.3 and 45?\nAnswer: -373.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i - 6. Suppose 245 = 11*n + 146. Calculate the lowest common multiple of c(3) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 669, 19.\nAnswer: 2, 19, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 4, 0.2, 4.2, 12, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175520 and 258224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.177501 + 0.177. What is u rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 4. Let p(r) = 6*r + 5. Determine 4*f(b) + 3*p(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 319011.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714 - -1.\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtug when four letters picked without replacement from ugvtvguuugv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1344 and 1\/1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -333*u + 2040. What is v(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(0 - (-21)\/(-6)). Let o = 59871 - 59869. Sort 4, k, o in decreasing order.\nAnswer: 4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(288) + sqrt(288))*2 + (2*sqrt(288)*3 - (sqrt(288) - (-2*(sqrt(288) + 0) + sqrt(288)))))**2*-1.\nAnswer: -1161 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 14*g. Let d be m(12). Suppose 2*w - d = 670. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 + 4*t**2 + t - 118 - t - 121.\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -7779 (c) -0.4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**2 - 18*c. Let s(k) = 4*k**2 - 9*k. Give 6*j(m) - 13*s(m).\nAnswer: 2*m**2 + 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 829*c - 75*c**2 + 124*c**2 - 3*c**3 + 2243*c + 316*c**2 = 0. Calculate c.\nAnswer: -8, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 15 = -32*g. Let t(w) = -w**3 + 5*w**2 - 2*w + 7. Let r be t(5). Let n be r\/(1 - (-7)\/(-4)). Is g greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2958311?\nAnswer: 2958311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*m = 14, 0 = 4*d + 4*m + 4 + 44. Let o be (d\/30)\/(7\/(-267)) - 0. Let y = -13 + o. Is y at least as big as 0.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 3 + -2 + -2. Let o(s) = 2*s + 2. Let d be -2*(3\/(-2) - -1). Let g be (-1 - (-3)\/(-3)) + -1 + d. Let n(k) = -k - 1. Determine a*n(c) + g*o(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 + 4*t - 4. Let o be q(3). Suppose 2*d + 6*a - o = a, 2*d - 3*a = -6. What is the first derivative of 5*k**2 + 2 - 5*k**2 - d*k**4 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.360595 litres?\nAnswer: 1360.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 5*o + 26. Let i(u) = -2*u**2 - 2*u - 9. Suppose 0 = 553*j - 557*j + 32. What is j*i(d) + 3*a(d)?\nAnswer: -d**2 - d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 20, 4*c - 46 = -a - 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007767 rounded to four decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -17 + -8 - ((11 - 2) + -5 - -30).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -8 + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -2\/19, 4, -0.2, 0.09, -1.517?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196\/15 - -62\/5. Let o(u) = u**3 + 22*u**2 + 39*u - 43. Let a be o(-20). What is the second biggest value in a, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -1\/3*i**3 - 3 - 3\/2*i**2 + 2*i + 1\/4*i**4. Calculate d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 23 + 0 + 7. What is the tens digit of t(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-1404))\/(117\/(-117)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079215665 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 45. Let f(q) = -1. Give 90*f(u) - 2*x(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/6*(-42)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10*h + 7 = -9*h, -3*h = -c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -92. Calculate the remainder when 3\/((-3)\/(-32)) + (o - -4) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2 + 10*h. Let y(i) = 3*i**2. What is y(c(w))?\nAnswer: 363*w**4 + 660*w**3 + 300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 0*a - 2*l - 10 = 0, 3*a + 15 = -5*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 2*b - 117 = 0. Let z(y) = 4*y**2 - 18*y - 5. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 166 = -40. Let n be (-9)\/(-4) - (-3)\/(-12). Suppose n*p + 2*x + t = 7*p, -2*p - 3*x + 10 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21612945 is divided by 891.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2*p + p - 1. Let x(o) = -o - 1. Suppose -l - 3*l - 16 = 0. Suppose -3*d + 12 = 3. Give d*q(m) + l*x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 5, y: 2, u: 10, o: 1}. What is prob of picking 3 s and 1 y?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 6*(sqrt(68)*3 - sqrt(68))**2) + 3.\nAnswer: -1629 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*0.762\nAnswer: -1.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 20310?\nAnswer: -20311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -5 + 0 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26526*l**2*p**3 - 4*l**2*p**2 + 29*l**2*p + l**2 - 5*l*p**3 - 3149*l*p + 867 wrt l.\nAnswer: 53052*p**3 - 8*p**2 + 58*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(637) + 5 - (-2 + -2 + sqrt(117)*-5))**2.\nAnswer: 18*sqrt(13) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15276233 divided by -2182319.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (3 - 6 + 2)*(2 + 0 - 3) + 1 - 3 + 4 - 1 + 5 - 2 + 1 - 1 + 2 + 4 - 5 + 3 + 0 + 5 - 4)*(0*r**2 + 4*r**2 + 24*r**2).\nAnswer: 308*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 + 3. Let t(y) = -3*y**2 + 0*y**2 - 3*y**2 + 5*y**2. What is t(m(h))?\nAnswer: -121*h**4 - 66*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:16 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24028732, -24028726, -24028718, -24028708?\nAnswer: -24028696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3461 (base 7) to base 12.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 4) to base 13\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041540 rounded to the nearest 10000?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:02 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 divided by 1?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5809.\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3239563048?\nAnswer: 2, 73, 75989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/7)*b**(-1\/13)*(b**(-1\/3))**(-47) assuming b is positive.\nAnswer: b**(4412\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, z: 4, c: 9}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3531*g - 3639*g = -1077 + 213 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-6)\/(-10)) + 332633\/(-420). Let u = d - -792. Calculate the common denominator of -55\/6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:25 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21851080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxxzexxeexxxezxxex. Give prob of picking 1 x and 3 e.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101314 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 49 = -5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + -31. Let w be 612*(5 + (-134)\/8 + 6 - -6). Let a = j + w. Solve 4*d - 4 = 0, s + d + a = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(2*p + 3 - 3 + (3 + 1 - 5)*(-1 + 18*p + 1)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.094958 + -41.\nAnswer: -41.094958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22960 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*w - 105*w - 15408 = 0. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 126*x**2 + 149*x - 35057. Give d(127).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63997?\nAnswer: 63997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113.4 - 96. Let p = w - 17. Sort p, -1\/6, -4 in decreasing order.\nAnswer: p, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 2. Let b be k(-10). Let t be (36\/b)\/(2\/4). Suppose 0*s = s - t. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1900\/(-35))\/(-10) + (-6)\/14. Suppose -2*j + 4*j + 2*u = 802, -3*u = q*j - 2009. What are the prime factors of j?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 66 + 76, -5*m + 8 = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 6*v**2 + 4*v**2)*(-v**2 + v**2 - 2*v**2).\nAnswer: -22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 9. Let i(b) = b**2 - 2. Let u be i(-2). Solve h + u = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 + -0.4. Let u = 0 + x. Let w = -82 + 491\/6. What is the second biggest value in u, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3122159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*x**2 - 10*x**2 + 6*x**2 - 2*x**2 + 0*x + 0*x - x**2 - 2*x + 2*x + (-3 + x + 3)*(-3*x + 5*x - 3*x) + 1 - 2*x**2 - 1 + 2*x**2 + 2*x**2 - 5*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 661*d**4\/12 + 1120*d**2. Let y(h) = -h. Determine y(w(n)).\nAnswer: -1322*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*p + 18 = 0, 3*p - 31 = -4*a - 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8918571 is divided by 330.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1696 and 448?\nAnswer: 23744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153*b*x - 5*b - 8*x - 226 wrt x?\nAnswer: 153*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:43 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 43 = 13*m + 7*x, -4*x - 41 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 1801, 4504, 8269, 13090?\nAnswer: 18961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 2*c - 4*n, -3*c + 27 = 2*n + 173. Is c\/6*(0 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35409.554 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/49)\/2*1)\/(48\/112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s + 48. Let c = -22 + s. Factor -1\/5*g + 0 + 1\/5*g**c.\nAnswer: g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45489, 91782, 138881, 186786?\nAnswer: 235497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:10 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1947 + 5926\/3. Let r = -28 + p. Factor -r*o**2 - 1\/3 + 2\/3*o.\nAnswer: -(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968880 plus -1701.60132?\nAnswer: 1967178.39868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*n**3 - 7*n**2 + 124 with respect to n.\nAnswer: 33*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.0949765.\nAnswer: 1.709577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 6. Is y(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 9621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.1285 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j + 7. Let x be q(7). Suppose -5*o + 10 + x = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 + 0*a**2 + 0*a**6 + 0*a**3 + 0*a**7 - 1\/4*a**4 + 5\/56*a**8 + 0*a**5 + 2*a. What is the third derivative of d(f) wrt f?\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, w: 6, b: 4}. What is prob of picking 3 w and 1 y?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(32)\/sqrt(4)))\/((sqrt(12)*2 + sqrt(12))\/sqrt(6)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 0) + 3 + (12 - 18). Suppose -4*q = -20, 87 = 6*c - k*c + q. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 14 - 11 = 4*f, 5*z + 38*f - 32*f = -41 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8821*k - 705766. Give q(-80).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -592658*y**2 + 4389439*y.\nAnswer: -1185316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -466*n - 2789. Calculate p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 332*z\/5 - 2754.\nAnswer: -2*(z + 81)*(z + 85)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432)*-2)**2 - (sqrt(3) + sqrt(12)\/sqrt(4)*-6)) + ((sqrt(90)\/sqrt(24) - sqrt(15))\/((-2*sqrt(35) - sqrt(35))\/sqrt(7)))**2.\nAnswer: 29*sqrt(3) + 20737\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 29*q + 17. Let v be n(-15). Let p(o) = 48*o - 7. Is 31 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/120 - k**5\/12 - k**4\/12 - k**3\/6 + 595*k**2. Give y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**5 - 7*j**5 - 7*j**5 + (2*j**2 + 1 - 1)*(-4 + j + 4)*(-3 + 3 - j**2).\nAnswer: -24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*p + 502*j*p**3 + 828*p**3 - 2*p**2 wrt j.\nAnswer: -6*j**2*p + 502*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3446*n + 3442*n - 6*b = 6892*n - 208, 5*n = -b + 39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1131*u + 184*u - 106*u to the form c + k*u and give k.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((-14)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967741.\nAnswer: 3, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 7*a + 208 = 0. What is the least common multiple of a and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75736?\nAnswer: 2, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eizsvkzes. Give prob of picking 1 k, 1 e, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + t + 6. Calculate r(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = t + 44, -h + t + 12 = 2*t. Let v = h + -9. Find f such that -1\/6*f**v + 0 - 1\/3*f + 1\/6*f**4 + 1\/2*f**3 - 1\/6*f**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, q: 5}. What is prob of picking 3 i?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 2. Suppose 2*t - 2*p + 9 - 23 = 0, 4*t = -2*p + 58. What is the smallest common multiple of t and j(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8, -3*x + 8*x = -2*a + 18. Suppose -3*g + a = -5*g. Let c = 2 + 1. What is the second smallest value in c, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 + 69*a + 125. Let x be u(-2). Solve 31*k + x*k = -276 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3083846 - 1752232 = -26*k. Suppose 57*p - k = 30*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1724 + 1893 + 4836*p + 3810 + 1994 with respect to p.\nAnswer: 4836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -48, 1\/7, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1aa + 350?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8 - 10 + 2 - 3*i. Let t(m) = m - 2*m - 2*m + 2*m. Determine c(t(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Suppose x = 4*q + 31 + 149. Let k = -32 - q. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -3. Which is greater: f or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b**2 + 90*b + 9. Let r(d) = 8*d**2 - 46*d - 5. Determine -11*r(k) - 6*z(k).\nAnswer: 2*k**2 - 34*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 224403 (b) -3 (c) 1 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -232563717976 and -11.\nAnswer: -232563717987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:31 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/6 + 5*o**3\/2 + 19*o**2\/2 + 19. Let a(l) be the second derivative of s(l). Let j be a(4). Sort 2\/11, j, -2.\nAnswer: -2, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 259, 380, 491, 586, 659, 704, 715, 686?\n\"Answer: -s**3 + s**2 + 125*s + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o. Let m(v) be the second derivative of -v**4\/6 - 7*v**3\/6 + 3*v**2\/2 + 3195*v. Give -5*d(s) - m(s).\nAnswer: 7*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13844 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 > -7500189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1214*q - 21810 + 7242 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(75) - (sqrt(75) + -2))**2*5 + (sqrt(75) - (-1 + (sqrt(75) + -2)**2)))*3*1.\nAnswer: -179 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffaa when four letters picked without replacement from faaf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 5*m - 860, 4*m = -4*g + 728. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose 0*o = a + 2*o - 3, -q*o = -5. Suppose -9 + a = -y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 866349.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d + 24*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1965 - -706. Let z = u + 1261. Suppose -6*q = -2*q, -5*n + 5 = 4*q. What is the closest to z in -1\/9, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37705, 75321, 112945, 150583, 188241, 225925?\n\"Answer: r**3 - 2*r**2 + 37615*r + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 35\/(-11) - 158\/(-22). Suppose 8*h - 271 = w*h. What are the prime factors of h?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 7. Let m be g(5). Suppose -m*r = 2*r - 176. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069672713 is divided by 6156?\nAnswer: 6153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-18\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1531. Let d(x) = -18*x**2 - 3*x + 8. Determine d(t(v)).\nAnswer: -18*v**2 + 55113*v - 42186697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-8))\/((-351)\/312*(-12)\/(-9))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -19, -13 in decreasing order.\nAnswer: 4, -1, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*s + 23375 + 56544, -s = -b - 15981. What are the prime factors of s?\nAnswer: 2, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyqfn. Give prob of picking 1 o and 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**2 + 0*u + 10*u**2 - 2*u)*(-2 + 2 - 1)*(-4*u - 2*u + 4*u).\nAnswer: 4*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 920, 898, 858, 794, 700, 570?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249 + 525 - 247 + 18*i to the form b + u*i and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcz when three letters picked without replacement from {c: 6, z: 5, t: 1, q: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftff when four letters picked without replacement from fftf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.2, 15, 0.5, -2 in increasing order.\nAnswer: -18, -2, -0.2, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -51.5689.\nAnswer: -55.5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a864 (base 13) in base 4?\nAnswer: -312201203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 2. Let r be o(-6). Suppose -3*k + 11 = -0*k - 4*a, r*k - a + 7 = 0. Is ((45 - 3) + k)*4\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -15. Let t be m\/4*(11 - 17). Suppose -14 = -4*p - 5*g, -t*g = 7 - 1. What is the remainder when 22 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/7*(-8)\/((-72)\/(-63)). Let j(u) = -5*u**3 - 8*u**2 - 5*u + 2. Let w(t) = 7*t**3 + 8*t**2 + 4*t - 1. Let m(o) = -3*j(o) - 2*w(o). Determine m(k).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x = -12*x + 126 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-2 - -1))\/(-1). Let m(n) = l + 0 - n. Let k(a) = -4*a**2 - 5. Let p(g) = -g**2 - 1. Let q(f) = -k(f) + 5*p(f). Give m(q(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = m - 22, -4*m + 0*a + 2*a + 18 = 0. Let o(s) = -2*s**m - 3*s**2 + 5*s**2 - 2 + s**2 + 2*s. Calculate o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*x**2 + 3*i*x - 8091*i + 302*x**2 + 51*x - 32 with respect to x.\nAnswer: 10*i*x + 3*i + 604*x + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1001405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107577 + b?\nAnswer: 107585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from qqqsqqqovvoosqsvvqqq.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - 4 - (-350)\/(-91). Factor 0*a + 0*a**2 + 0 - 4\/13*a**4 + f*a**3.\nAnswer: -2*a**3*(2*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.14 and -80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*39374\/(-28) + (-10)\/35. Suppose -42*u = -31*u - t. What are the prime factors of u?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 5*o**2 + 7. Suppose 26*j = 4*j + 44. Suppose j*h - 23 = 2*z - 3, -2*h = 3*z. Let s(m) = m**3 + 4*m**2 + 6. What is h*b(x) - 7*s(x)?\nAnswer: 5*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5 - 205*o + 8 - 142*o + 16. Let r be m(7). Round r to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7469 and 3011.28?\nAnswer: 4457.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/2021427433?\nAnswer: -3\/2021427433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 19. Solve 4*k = -2*j - b - 11, -4*k = -4*j + 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:17 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2369*d = 2372*d - 48729. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:39 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(300) + -1)*-1)**2 - (2 + 0 + sqrt(300))*6) + 1.\nAnswer: -20*sqrt(3) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1261208 * -0.06.\nAnswer: 0.007567248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 780699638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2128 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59677379 to the power of 1\/2, to the nearest integer?\nAnswer: 7725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (94 + -134) - -78.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/213 and 19\/73899.\nAnswer: 5246829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-26))\/((-49020)\/(-21242))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 - 212. What is the least common multiple of 16 and -24*(h\/12 + -5)?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33a344 (base 11) to base 14.\nAnswer: 101125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 20816?\nAnswer: 395504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 26, 0, -0.054?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605895*d**2 - 2605900*d**2 - 3*d**3 + 2*d**3.\nAnswer: -d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/60 - q**5\/10 - 5*q**4\/8 - q**3 + 31*q**2. What is the hundreds digit of p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77956984 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15056?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**4 - 2112*p**3 + 21*p**2 - 63*p?\nAnswer: -96*p - 12672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 47, -2\/2537, 2\/13, -2, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6 - -10) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from kjtttpnypypjnjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*402\/(-670).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1776762)\/(-273) + (-15)\/(-21).\nAnswer: 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15781346, 15781345, 15781344, 15781343?\n\"Answer: -s + 15781347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*z - 0*z. Let b = z + 31\/4. Find the common denominator of b and -2 + 51\/(-9) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(6*(sqrt(180) - (sqrt(180) + -2 + sqrt(180))) + -4) + -1)**2.\nAnswer: -13680*sqrt(5) + 163444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10607930, 21215844, 31823772, 42431720, 53039694, 63647700?\n\"Answer: n**3 + n**2 + 10607904*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -3557*(-3)\/(-969). Is 0 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*w = -318*w - 161*w + 4422 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 1d170?\nAnswer: -1d150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/37 > -273004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-56)*7\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**7\/105 - r**4\/24 + r**2 - 3*r. Let x(y) be the first derivative of s(y). What is the second derivative of x(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -14736670?\nAnswer: -14736665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -10?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:57 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.2985 rounded to one decimal place?\nAnswer: 58.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2781048*r**3 + 12542*r + 22 wrt r?\nAnswer: -16686288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 34.182.\nAnswer: -10.2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 836?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 295749 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * 0.4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0114 + 125.0114. Which is greater: 2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 27*o - 2*u + 5, o = 3*u - 20. Let m = -247 + 247. Sort m, o, -4, 10 in ascending order.\nAnswer: o, -4, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 36 - 7*y**3 + (4*y**3 + 2*y**3 - 4*y**3)*(-1 + 0 - 1).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8)*((-32)\/(-8) - 4). Let i be (5 + (111\/(-21) - 0))*-7. Solve -2*v + 4*s + 4 = y, -v + 2*v + i*s = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12588 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(4*p**5 - 5*p**5 + 3*p**5) - 65*p**5 + 12697*p**2 - 12697*p**2 + (2*p**3 + 2*p**4 - 2*p**3)*(-2*p + 0*p + 0*p).\nAnswer: -71*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239244 = -15067*a - 418126 for a.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19\/4 - (-3)\/(-4) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/1848 - 2*r**7\/385 + 3*r**6\/220 - 2*r**5\/165 + r**2 - 4. Suppose l(q) = 0. What is q?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c + 2 = 0. Let a be 3\/c - 2\/(-4). Suppose a*g + 319994 = 2*b, b + 320003 = -2*g - 0*b. What is g rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417 + 422. What is the nearest to t in -3, 0.1, -0.5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 0.01 (d) 20 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 13\/3 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11509452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-12*5\/(-180).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 33 = 3*c, -4*c = 4. Let g(o) = -7*o**2 + 3*o + 2. Let t be g(4). Let p = t + 194. Calculate the greatest common factor of p and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39011, -38900, -38785, -38666?\nAnswer: -38543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p)\/((p**(1\/3)\/p)\/p)*(p\/((p*p**(-5\/4)*p)\/p)*p)\/(p\/p**(-5\/3)) assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.2 + -41.8. Let m = y + 53.7. Which is smaller: 2\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 2. Let q(b) = -60*b + 39. Let p(a) = -6*q(a) + 117*t(a). Let c(w) = -196*w**2. Determine p(c(i)).\nAnswer: -1764*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0363 times 5?\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 divided by 21007?\nAnswer: 719\/21007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4166*f**5 + 9306*f**2 - 266651021*f wrt f.\nAnswer: -83320*f**3 + 18612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 98, 297, 658, 1229?\n\"Answer: 8*b**3 + 9*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**6\/10 - 6*c**5\/5 - 183*c**4\/10 - 372*c**3\/5 - 1269*c**2\/10 - 486*c\/5 + 1425. Find p, given that s(p) = 0.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/4 - b**4\/2 + 11*b**3\/4 + b**2 - 7*b + 4 = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 12*f - 15. Let p be z(-11). Let r(l) be the first derivative of l**2 + 6*l - 4. What is r(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 4 + (1286 - 1309).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/9*j - 166\/9*j**3 + 338\/9*j**2 + 0 - 2\/9*j**4.\nAnswer: -2*j*(j - 1)**2*(j + 85)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*u - 86*u + 158*u - 4 + 721*u to t + f*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3117*o = -176722 + 11521 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3913624 divided by -4?\nAnswer: 978406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9586 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*t + 29. Let u be 5 - (0 + -3 - t). Let v(n) be the third derivative of -n**4\/24 - n**3\/3 - 16*n**2 + 4*n. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23363 + (7 - 5)\/(-1). What is the units digit of (-2)\/(-6) + k\/117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 392783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -15*b**2 - 6 + 3*b**3 + 12046*b - 12025*b - 3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 38.5. Let o = 4.5 + d. Let s = 27 - o. Does s = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -21*k + 697. Let y be h(33). Solve 0 = y*v - 5*r + 36, 5*v - 4*v + 5*r = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - p - 2. Let r be z(-2). Suppose -29 + 11 = -3*w. What is the greatest common divisor of w and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59885 is divided by 5981.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let r(u) = -13*u - 26. Let m(y) = 1. Let p(x) = 26*m(x) + r(x). Give g(p(h)).\nAnswer: -338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 2*o**2 + 2*o + 52. Determine t(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1262 = 53*g - 391 + 328 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4 - 2 - 4 + 9*i + 9. Let t be ((-45)\/25)\/(1\/5). Let z = -8 - t. What is g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693 is divided by 1345.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:45 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:31 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121827784.\nAnswer: 2, 13, 1171421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128514*c**3 + 727*c**2 + 220500021*c wrt c?\nAnswer: -771084*c + 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/12 of a hour?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 3*q + 4*q + 2198 + 2198 - 4396.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31251 + 32201?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 5*n**3 - 7032. Let x(c) = 301*c**2. Give i(x(g)).\nAnswer: 1359015*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17057.6mm to meters.\nAnswer: 17.0576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.55 and 0.2233.\nAnswer: -0.122815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21156, 21159, 21162, 21165, 21168, 21171?\nAnswer: 21174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -186239? (a) 4 (b) -1\/4 (c) 8\/117 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2473729*l = -2473282*l + 52746 for l.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 3. Let r be i(6). Suppose -373 = -r*p + 5444. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -37*b + 35. Is 20 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 951 + 5*b - 951 + 12*b - 6*b + 0*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:22 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -458 - 2b11?\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 12*i - 9. Suppose 70*n = 105*n - 1575. What is the least common multiple of m(-18) and n?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2168762 - -3522069367\/1624. Find the common denominator of -107\/56 and w.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 9*b**4\/4 - 5*b**3\/6 + 27*b + 58. Let f(k) = 176*k**2 - 32*k. Determine -5*f(l) + 32*u(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - (-2 + 1)) + 2. Calculate the greatest common divisor of s and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 5*i - 122 = 0, 104*p - 3*i = 100*p - 40 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 114 = 5*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -60*j + 326 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 + 29462*k\/3 - 15530372\/3.\nAnswer: 2*(k - 494)*(2*k + 15719)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. What is the remainder when 18 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 2*z, -14498 = -5*w - z. Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018 + -10.982. Is 0.1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 877558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 5. Let g = -0.31 - u. Let q = -0.39 + g. Which is the closest to -1? (a) -3 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 66, -1, -8.\nAnswer: -8, -1, 1, 11, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*g = 6, -296*g + 13 = -a - 300*g. Let c = -3 + 2. Let w be -11*(c - (-1 + 7)). What is the greatest common divisor of w and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -i*t = -2*b + 36, -14 = 2*t - 2*b + 12. List the prime factors of (-2)\/10 - 92\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864976 divided by 16?\nAnswer: -54061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) - (-33)\/2. Suppose -3*v = 5*f - i, 3*v - 10 = -f + 8. What is the third derivative of 30*z**2 + 12*z**v + 6*z**6 + z**6 wrt z?\nAnswer: 2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5856968434 to the nearest integer?\nAnswer: 76531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6052905 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10)*(2 + -292 + 0). Suppose 7*g - 2*g + v = h, -4*v = g - 27. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-120)*9\/(-6)*(-640)\/(-1472).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -158) + -87 - (90 + (-1 - (-5 + 2)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k + 4109. Let y(i) = -7*i - 1371. Give -6*j(n) - 17*y(n).\nAnswer: -n - 1347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10958627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6146, 39331, 94640, 172073, 271630?\nAnswer: 393311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8134 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.137669939\nAnswer: -0.413009817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:40 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 0*k)*(3 + k**2 - 2*k**3 + 11359*k - 22728*k + 11368*k).\nAnswer: 2*k**4 - k**3 + k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166571 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20855 = -232*g - 17143 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/15)\/(1\/9))\/((-105)\/(-350)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6)\/(5 - (-33)\/(-6)). Sort a, -4, -1 in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1054 - -1053.5. What is the nearest to -0.1 in 9, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Suppose 0 = -p - 4*g + 13, -f*p + g = -5*p + 40. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3. Suppose 3*t = i*w, -4*t = 4*w - 0*t - 24. Does 28 divide w - 2 - 1 - -101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1029 - -1250. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5258 + 5562. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n = -4*n - 19393. Is n at least as big as -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1834?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010844571 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 11*n + 13. Suppose -5*m = -15, -4*h + 0*m - 46 = -2*m. Let p be g(h). Differentiate 2 - 1 - 4 + q**4 - p*q**4 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-16) + 65\/(-52). Do 9\/43 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.8. Let s = -2280240710\/1273 + 1791234. Let v = 2\/67 - s. Put -2\/5, w, v in ascending order.\nAnswer: -2\/5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764325 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*g - 9*g + 11*g + (6 - 1 - 3)*(0*g + 0*g - 2*g) - 2*g - 2*g - g to c + n*g and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 157.\nAnswer: -78.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 + z + 6. Let l be b(-6). Let c(i) be the first derivative of -2\/25*i**5 + 0*i**2 + 0*i**4 + 3 + l*i + 2\/15*i**3. What is u in c(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.2, -1554.4, -2\/3, -1\/3 in ascending order.\nAnswer: -1554.4, -2\/3, -1\/3, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -14*h + 3, -h + 112 = 5*f. Solve -5*b + m - 4*m - f = 0, 0 = -3*m - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 12*q - 4. Let z be f(7). Suppose 0 = 9*w - z - 26. Suppose -w*c + 289 - 5 = 0. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20397 in 8, -0.5, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from iininiiiniiiyniiin.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.22 and -152.7.\nAnswer: -152.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -43. Let k = -20 - g. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638457241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012177326 rounded to seven decimal places?\nAnswer: -0.0001218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -45. Suppose -h = -j - 4*s, 2*j - s = 4*j - 5. Let m be (2\/(-4) + -4 + 5)\/1. What is the second smallest value in 0, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -68*y**4 - 63*y. Let d(q) = -7*q - 25. Let n be d(-3). Let v(z) = z**4 + z. Let c(u) = n*v(u) + h(u). Find the second derivative of c(s) wrt s.\nAnswer: -864*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2. Suppose 2*u = 13 - 17. Let m be s\/u*-2 - -3. Let z(x) = 2*x - 2. What is z(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8343*u + 4 - 4 + 294*u**2 - 8343*u.\nAnswer: 294*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194624*h**4*q**2 + 93*h**4 + 62*h**2*q**2 + 8*h**2*q - 143*h**2 + 4*q wrt h.\nAnswer: 4670976*h*q**2 + 2232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/46)\/((-1)\/7*-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7918 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81513 is divided by 247.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, b: 11}. What is prob of picking 1 i, 1 b, and 1 c?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -32\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12598, -23142, -33700, -44278, -54882?\n\"Answer: -y**3 - y**2 - 10534*y - 2062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k**2 - 58*k**2 + 3*k + 39*k**2.\nAnswer: 19*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*l. Which is the closest to l? (a) -0.5 (b) 2\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6139, 12315, 18477, 24619, 30735?\n\"Answer: -q**3 - q**2 + 6186*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533600026 to the power of 1\/3, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nna when three letters picked without replacement from {n: 7, f: 1, a: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19317?\nAnswer: 3, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvpppppppxrppnxnvrvr. Give prob of picking 2 n and 2 r.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:45 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*l + 10601 = -3*j, -5*j - 53028 = 2*l. Let g = 32753 + j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/9 + 99092*m**4\/9 + 1231855232*m**3\/9 + 12257971520*m**2 + 352465394688*m + 3169881133056 = 0.\nAnswer: -24728, -36, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 - 33*r\/7 + 34\/7.\nAnswer: -(r - 1)*(r + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-34))\/((-8331)\/(-47209))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 1. Let x(y) = -112*y + 23. Let m(h) = 3*l(h) + x(h). Let p = -981 - -976. Is m(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/34 - (-10)\/4. Let x(m) = 5 + 8 - 4*m**q - 20 + 12 - 2*m. Let w(r) = 7*r**2 + 4*r - 9. Determine -3*w(p) - 5*x(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*v + 3195*v**2 + 29 + 160*v - 29.\nAnswer: 3195*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -634480, -634482, -634484, -634486, -634488, -634490?\n\"Answer: -2*t - 634478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1 times 5?\nAnswer: 170.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 65. Let h = o - -19.66. Let a = h - -0.1. Round a to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from dbqrbdbrrdrmrbqdbqdr.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2. Let z(a) = 2*a - 494. Give z(n(b)).\nAnswer: 8*b**2 - 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2873861\/40 + 522797\/8. Let a = -6485 - r. Find the common denominator of -22\/19 and a.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44904 is divided by 14950.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-2 - -5) + 166. Let b be (c\/(-20) + 4)\/((-4)\/(-20)). Let u be 2 + 36\/b + 30\/(-252). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9507690 and 77\/102096.\nAnswer: 76061520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q*u*v**3*y**2 - q*u*v**2*y**2 + 143*q*u*y**3 - 7*q*v**2*y**3 + 26*q*v**2*y**2 + u*y + v**3*y**3 + 2*v**3*y wrt y.\nAnswer: 858*q*u - 42*q*v**2 + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029937 rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 7*w - 4. Let u(r) = 4*r**2 + 7*r - 4. Let t(d) = 3*k(d) - 2*u(d). Suppose 0 = -27*x - 225 + 36. What is t(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Solve -d + g*d = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19978*a**3 + 798*a - 365*a - 433*a.\nAnswer: 19978*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/8985 + 32627\/12740730. Let a = r - 32647\/15598. Calculate the common denominator of -59\/3 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 875, 870, 865?\n\"Answer: -5*l + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*u + n, -11854*n = -11850*n + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2190 = -270. Let i = -240 - m. Suppose 0 = 4*o + o + 5*v - i, 0 = -o - 3*v + 38. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.3, -1\/2, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452 + 13*v + 14*v + 18*v + 18*v - 68*v.\nAnswer: -5*v + 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 1 + 1)*(0 - 1 - 1 - 2 - 2 + 2 + (-4 + 3 + 0)*(1 - 3 + 0) + 4 - 2 + 1 + 1 - 3 + 12).\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 - 1 = 0. Suppose 0 = -17*n + 6*n + 165. Calculate the greatest common factor of k and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:31 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/29, -27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 4 + 3 + s**3 - 8*s + 0 as w*s**3 + b + o*s**2 + g*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 19*i**2 - 9*i - 15. Let u(a) = 3*a**3 - 28*a**2 + 13*a + 22. Let l(s) = 5*u(s) + 7*x(s). What is the remainder when 35 is divided by l(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 1}. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 1. Suppose -m = -3*m + 10. Suppose -v - 5*q + 3 = 3*v, 5*q - 1 = -3*v. Let k(p) = p + v*p + p + 2. What is m*u(s) + 2*k(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875*u**3 - 414325*u**2 - 331040*u - 66180 = 0. Calculate u.\nAnswer: -3309\/7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/479 or -1?\nAnswer: -42\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 6*n - 2*n + (74*n + 4*n + n)*(1 + 5 - 1).\nAnswer: 397*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638*w - 647*w = -34407. What are the prime factors of w?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3846157?\nAnswer: 7, 53, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*w. Let g = w - 3. Is (94*1)\/(g - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-32)*(i**1)**42 assuming i is positive.\nAnswer: i**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6568, -12740, -18920, -25108, -31304?\nAnswer: -37508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:04 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 139, 354, 669, 1090?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074370*v - 1074372*v + 98 = 0 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = t - 5*m - 39, -5*t + 4*m + 61 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 49322 = 51163. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(4\/16*6). Suppose -6*h = -7*h + p. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06708 + -0.066. What is r rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Solve -2*w - 3*w + 5 = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 + h**4\/2 - h**3\/2 - 3*h**2 - 12*h. Calculate i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**4 - 255273*f**3 - 3*f**2 - 64851353.\nAnswer: -24*f**3 - 765819*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-845)\/(-2028)*48\/45)\/((-24)\/117)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*((2*h - 1 + 1)*(-4 + 2 + 1) - h - 4*h + 2*h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151708 = 13770*n - 242888 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3577*h + 3577*h + 3638*h - 10796*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -159, 4, -6 in increasing order.\nAnswer: -159, -17, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n + 0 + (-n + n - 2*n)*(1 + 4 - 3) - 1 + 1 - 2*n)*(-10*n**4 + 7*n**4 + 9*n**4).\nAnswer: -48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*y - 1002*y - 179*y to the form o*y + f and give o.\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14408.304 months?\nAnswer: 1200.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-3) - 2\/(-3))*-2. Solve 3*y + a = 5*h, 4*y + 6*h - 4*h + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(7)*-1 - sqrt(7)))\/(1*sqrt(176)))**2 - (-5 + sqrt(15)\/sqrt(3) + -2)*2.\nAnswer: -2*sqrt(5) + 901\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2504, -5043, -7582?\nAnswer: -10121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 + 7 = v, -3*l + 14 = v. Let a(z) = z**2 - 12*z + 2. Let k be a(12). Is k < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9*i*i\/i**(-9\/2)*i)\/(i*i**(-2\/5))**(28\/5))**(-3\/4) assuming i is positive.\nAnswer: i**(-1971\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263505 is divided by 111?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -13980.17168?\nAnswer: 13980.67168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4 - 4)*(-w - 5 + 5) + 0 - 2*w**2 + 0 + 8*w + 8*w**2 - 8*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 5207598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**3 + b**2 + 8*b - 2. Let z be (-33)\/11*(0 - -1). List the prime factors of f(z).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14824420 to the nearest 10000.\nAnswer: 14820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*j = -748*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 5*b - 4*v - 14 = 0, 0 = -b + 2*v + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 18. Let t(i) be the second derivative of -i**5\/20 - i**4\/4 + 3*i**3\/2 + 15*i**2\/2 + 41*i. What are the prime factors of t(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4699635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:19 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 10*g**2 + 268*g + 31. What is h(22)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 54*s**2 - 6*s - 2759. Determine q(55).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:20 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(-v + 2*v + v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4\/7, 3, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64096096759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -37 + 2 - -11 - -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 66 = 4*t, 0 = -3*t - 3*v + 2*v + 44. What is the second derivative of 6*m**3 + 61*m + m**4 + 8*m**3 - t*m + 1 + 18*m wrt m?\nAnswer: 12*m**2 + 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11152, 30995, 50828, 70645, 90440, 110207?\nAnswer: 129940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 40. Let b = 31 - m. Which is bigger: b or -0.02?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*j - 21, 4*h + 24*j = 19*j + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 140*i + 914. Calculate o(76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 137, 558, 1387, 2762, 4821, 7702?\nAnswer: 11543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177 take away -88141.871224?\nAnswer: 91318.871224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.2 (c) -0.1 (d) -99 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. What is the remainder when ((-51)\/102)\/((-4)\/(-22) - 309\/1518) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -658958 and -19874.748.\nAnswer: -678832.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/91 and (-9)\/5 + (-640)\/(-1120).\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2972332 and 546788?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71810715117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/3 - 27628*z**4\/3 + 82871*z**3\/3 + 110500*z**2\/3 = 0?\nAnswer: -1, 0, 4, 27625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 10 = 4. What is the units digit of 1*f\/(-4) - (-10395)\/108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7. Let d(z) = -z**2 + 6*z. Let k = 31 - 1. Suppose o = -4*o + k. Let x be d(o). Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + (-3 - (-4 + -2) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5*d**2 - d - 5. Let c = -1 + 5. What is b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 - 20*l**2 + 20*l**2.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2057539 to the nearest 1000.\nAnswer: -2058000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 12. Let p be ((-18)\/(-8))\/(3\/(-16)). Let t(w) = -211. Let f(b) = 35. Let n(r) = -6*f(r) - t(r). Give p*n(u) + i(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/((-1255)\/10040))\/(58\/(2 - 1)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -445, -443, -439, -433, -425, -415?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29020721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 39. Suppose 0 = r - 4*o + 3, 33*o + 12 = 2*r + 34*o. Let n = r + t. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (9 - (-2 - (-13 + -4)) - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1004230 divided by -4.\nAnswer: 502115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3840 divided by 1\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 38 = 5*h + 5*k, -80 = 5*h + 5*k. Let d be 7*(-8)\/h - (-4 - -2). Calculate the greatest common factor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116807*g*t - 8*g*u - 2280*t*u wrt u?\nAnswer: -8*g - 2280*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 864\/88 - 7\/((-77)\/2). Suppose -p = a - 4*g, -3*g - 30 = 3*a + 2*g. What is the tens digit of a\/(-4)*(-3706)\/(-85)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Suppose 0 = 4*r - p*r + 77. Suppose -5*b + 202 = r. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c0 + -24170?\nAnswer: -240a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445013985 by 11410615.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j + 87*j + 87*j - 259*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62727.04689 - -0.04689. Let f = n - -62736.2107. Let o = -9.2 + f. Round o to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23047934, 23047939, 23047946, 23047955?\n\"Answer: w**2 + 2*w + 23047931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210 or -3945212?\nAnswer: -3945212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -582202 divided by -2\nAnswer: 291101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4433*a + 146262. What is g(-33)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 2*r**2 - 1\/20*r**5 - 1\/6*r**3 + 0 + 0*r**4 + 0*r. Let l = 2 + -3. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from emennbsqb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4037 - -4041. Solve 16 = r*c + 3*j + 7, 43 = -5*c + 4*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*j - 149128 + 75*j + 149128 in the form f + t*j and give t.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1775 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-3)\/(-88)) + (-69 - -70). Suppose 0 = -7*z - 61 + a. Solve -4*m + 12 = z*u, m + m - 4*u = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131039969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 = 2*d, 13*h + 25 = 18*h - 2*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 60. Put -4, 1, m, -6 in decreasing order.\nAnswer: m, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:57 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7740 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) 108 (d) 7\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l - 1. Let t(g) = 23*g**2 + 16*g - 22. Let k(s) = 7*s**2 + 5*s - 7. Let y(x) = -19*k(x) + 6*t(x). Give -3*w(z) - 3*y(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) - (0 + sqrt(325)))*-2 + (sqrt(325) - (-1 + sqrt(325) + -5) - sqrt(325)))*3 + 3*(-1*-2*sqrt(325) + 4*(-1 + sqrt(325))) + 0)**2.\nAnswer: 900*sqrt(13) + 73161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*k**3*o**3 + 124*k**3 + 314*k**2*o + 193*k*o**3 + 488*k - o wrt k?\nAnswer: 1038*k*o**3 + 744*k + 628*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 26 - 11. Suppose -w*z = -4*z + 3. Let o be -2 - (1*-2 + 2). Sort o, -5, z.\nAnswer: -5, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/((-5)\/(-200)*-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 - 51265*t**4 - 51280*t**3 + 102540*t**2 = 0. What is t?\nAnswer: -2, 0, 1, 10254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28735, 28748, 28769, 28798, 28835, 28880?\nAnswer: 28933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7087950 by 4.\nAnswer: -3543975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2 + 0*o + 0*o - 6*o**3 + o**2 wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4 - 1072*r**3 + 8772*r**2 - 16560*r = 0.\nAnswer: -276, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 7, f: 7, u: 3, g: 3}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23921 + 43*v**2 - 156*v**2 + 2*v**4 - 23898)*(0*v - v - v).\nAnswer: -4*v**5 + 226*v**3 - 46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -33084\/121 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let a = 48 + -52. Let u be ((-9)\/(18\/a))\/(-4 - -1). Put p, u, 0.3 in ascending order.\nAnswer: p, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - ((sqrt(75) + -2*sqrt(75))*4)**2)*4 + (-6*(sqrt(3) + -2 + sqrt(3)))**2 + 2 + sqrt(192).\nAnswer: -4222 - 260*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.048 - 0.048. Suppose 7 = -l + a, -3*l - 2*a - 5 = -4. Sort -4, l, n in decreasing order.\nAnswer: n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o + 289. Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2\/2 + 79015*b\/2 - 672350 = 0 for b.\nAnswer: -15820, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 28*m**2 - 61*m - 25. Let v be z(-30). Suppose 0*t + 3*t = 609. Find the second derivative of -t*x**5 + 42*x + 106*x**5 + 106*x**v wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:27 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 59 = -3*t. Suppose m + t = 2*m - 4*f, 2*f + 6 = 5*m. Suppose 1 = -g + 3*v, -v + 2 = -m*v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3952, -15841, -35686, -63511, -99340?\nAnswer: -143197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + w, 2*h + 100*w = 99*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -2, -44, 14 in increasing order.\nAnswer: -44, -7, -3, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*d = -3, -818 = -2*k - 4*d - 792 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598190680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22980394.\nAnswer: 2, 11490197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 2*s - 1. Calculate r(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:49 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 16731*n + 4268436.\nAnswer: 3*(n - 5309)*(n - 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*x = 85, -67 = 8*v - 10*v + 5*x. What is the remainder when 76 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -53*s**4 - 3*s**3 + 18*s**2 + 3. Let f(d) = -53*d**4 - 2*d**3 + 18*d**2 + 2. Let u(j) = 3*f(j) - 2*y(j). Find the third derivative of u(a) wrt a.\nAnswer: -1272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*s - 26 = 0, 5*s + 3 = -h - 2. Suppose 4*i = h*i - 13. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2939, 145, 1, -3, -5 in ascending order.\nAnswer: -5, -3, 1, 3, 145, 2939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 8. Let g be z(4). Solve g = -5*m - x + 15, 0*m = -m + 4*x + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40320, 80637, 120944, 161241, 201528, 241805?\nAnswer: 282072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 1332, 2913, 5104, 7905, 11316, 15337?\nAnswer: 19968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b - 5. Let x be z(7). Are 9 and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5199 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6393555 is divided by 913256?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -2070, -2078, -2086, -2094?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 28*m**2 - 17*m - 76. Is w(-8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Let s be r\/4*(39 - -1). Let d(n) = 4*n + 37. Let k be d(-8). Solve -4*x - 3*a - s = -9*x, -k*x = 5*a + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -873877*v**4 + 208764.\nAnswer: -3495508*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372666980 a multiple of 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14064820 by 110.\nAnswer: 127862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-7)\/35)\/((-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 17*n**2 - 73 + 32.\nAnswer: 17*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19351011, 19351008, 19351005, 19351002, 19350999?\n\"Answer: -3*p + 19351014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25820.\nAnswer: 2, 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1016, 1022, 1028, 1034?\n\"Answer: 6*l + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h - 6 = -38*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 29*t - 4. Suppose 0 = -4*c + z + 2*z + 5, 5*z = 3*c + 10. Suppose -2*v - 1 - 1 = -4*i, -4*i = c*v - 37. Is w(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2 - 15*l**5 - l**5 + 3*l**5 wrt l?\nAnswer: -780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98 - -1.38. Let x = -407 + 407.3. What is the closest to 1 in x, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + g**2 + 0*g**2 + 3*g**2 - g**2 + (-2*g + g + 3*g)*(-3*g + 4*g + g) - 2*g**2 + 0*g**2 + g**2 + (5*g**2 - 4*g**2 - 5*g**2)*(-2 + 7 - 3).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 97 = y + 137, -46 = 5*y + 4*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 39*b - 16. Let h be s(-18). Let o = -3107\/8 - h. What is the common denominator of o and -99\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 8. Let u be s(5). Let l = -911 + 1287. Suppose -l - 54 = -u*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 6949776.\nAnswer: 6949776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 - g - 18. Determine p(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + (-9 - (-2 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/9 (c) -60966\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 1 - 3*c**2 + 2*c**2 + 2*c - 2 + c. What are the prime factors of z(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 203\/3 - 1\/(-3). Suppose -80 = -5*r - 2*t + 3*t, -15 = -3*t. What is the greatest common factor of w and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 375, 654, 1121, 1776, 2619, 3650, 4869?\n\"Answer: 94*y**2 - 3*y + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + -22 + 26)*(2 - 0) - 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*v + 3 = 9, -2*g - v - 31 = -29 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/330 + (-92)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 + (2 - 5) - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26555543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -0.009161418556\nAnswer: -11.990838581444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -4)\/(1 + 11\/(-12)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*f - 576 + 254 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1894960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:26 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1023 - 2021\/25575. Which is the second biggest value? (a) u (b) 0.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p + 136*p - 75*p - 43*p - 27*p.\nAnswer: -82*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12114898 divided by -6?\nAnswer: -6057449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -81843*h**2. Let i(q) = 2*q. What is z(i(s))?\nAnswer: -327372*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-21 - ((35 - 51) + 17))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 282*d - 31 + 1 = -292*d, g + 9 = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13774 is divided by 2651.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 25788 = -4*z, -22 = -0*m + 11*m. What are the prime factors of z?\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 77056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-460)*(-4772 - -4792).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242104, 484206, 726310, 968416, 1210524?\nAnswer: 1452634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:37 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6486*r - 635622. Determine s(-98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + (sqrt(539) + (2*sqrt(539) + -2 - sqrt(539)) - (sqrt(539) + (sqrt(539) + -1)*-5)) + 3))**2.\nAnswer: -12096*sqrt(11) + 311760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 5, -7.\nAnswer: -98, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-1)\/(1 - 0). Does 26 divide (3 + f)*(-26)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/816*2\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-12))\/(7\/6). Let w be (-2)\/(-8) - (-76)\/(-112). What is the closest to f in 1, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p. Let o = 3.2 + -3. Let s = 0.7 - o. Which is the third biggest value? (a) 0.1 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + i - 1. Let y be g(-5). Solve 0 = 3*u - 4*z + 2*z - y, 16 = 2*u - 2*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -726 less than or equal to -3626\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/4 - q**4\/4 - 7*q**3\/4 + q**2\/4 + 3*q\/2 = 0. What is q?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2 + 2)*(d + d + 0*d) + d**3 - 1 + 1 - 3*d**3 + 0*d**3 + 5*d**3 + (-6 + 3 + 2)*(3*d**3 + 7*d**3 + 11*d**3 + (2*d + d + 0*d)*(4 - 4 - d**2)).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/6*(-7)\/((-112)\/12). Suppose l = -a + 60, p*a = 6*l - l + 85. Let d(z) = a*z**2 + 7*z + 1 - 28*z**2 - 28*z**2. What is d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 10*o**2 - 5*o + 15. Let h = -3274 + 3285. Determine l(h).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {s: 6, g: 4, l: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61464.72 centimeters in kilometers?\nAnswer: 0.6146472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193, 344, 495?\n\"Answer: 151*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 3\/8, -3, -1\/2, 19, -9.5, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -1.2 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.21 - 0.21. What is the second smallest value in -0.1, -1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -76 (b) 6.1599 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*a**4 + 128467*a**3\/4 - 125107*a**2 + 114803*a + 13776 = 0. Calculate a.\nAnswer: -4592, -3\/28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40311 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -150, 5, -0.2.\nAnswer: -150, -0.2, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 2\/9 (c) 29 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.89314ng?\nAnswer: 0.00000000489314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, 4, 316 in descending order.\nAnswer: 316, 220, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/2530 and -89\/20.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2490*(-4)\/(-12)*1. Suppose -o*b + 834*b - 8824 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -602, -1032, -1482?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 163 = -10*n. Suppose 5*j - j + 4 = 5*o, -5*o - 50 = 5*j. Is n less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003807 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487202.\nAnswer: 2, 47, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526378 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 44698.622094.\nAnswer: 44698.762094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1)\/(((-60)\/18)\/(-5)). Solve -4*g + o*y = -12, -g + y = 6*y + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 34 - 454 = 0. Let g = z - -41. Let x(s) = 9*s**2 - 1. What is x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*54.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6420 (base 9) to base 5\nAnswer: 122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**(2\/11)*h))**(-33))**(-34))**(-7\/3))**37 assuming h is positive.\nAnswer: h**17612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.36 (b) -2\/17 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {m: 7, h: 5, w: 3, p: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42537041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6461, -6459, -6457, -6455?\n\"Answer: 2*s - 6463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 164363319?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/3*-3*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -55.23. Let m = d + 0.57. Let u = 16 - 15.9. What is the nearest to u in -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*k*o + 16*a**2*o*z + 21*a**2*z + 5*a**2 - 14*a*k*o*z - 1795*a*k*o - 2*k*o*z + k*z wrt a?\nAnswer: 4*k*o + 32*o*z + 42*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c6 - 6222?\nAnswer: -69e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69264763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:22 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161204.7ng to tonnes.\nAnswer: 0.0000000001612047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-7) - (144\/84)\/(-6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -39, 0.2, -3\/5, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -3\/85, 1.6, -3, 18.5?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/2 (c) -0.18 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**3 - 26*x**2 - 10*x - 14. Let t(m) = -9*m**3 - 28*m**2 - 9*m - 23. Let c(z) = 3*t(z) - 4*y(z). Calculate c(-19).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9030 (base 13) to base 11\nAnswer: -13981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4\/20 + p**3\/15 + 4*p**2\/5 - 12*p\/5 + 44. Factor b(q).\nAnswer: -(q - 2)**2*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*3\/42*(-7)\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/16816 and -137\/12612.\nAnswer: 50448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 = 1006906*x - 1006829*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005877 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvruvuv. Give prob of sequence urvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3654057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let y = 1 + 1. Let w(b) = -8*b - 2 + y*b - b + 4*b. Give w(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, -1\/16, -5, 4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q + 0*q)*(-90 + 75 - 6*q + 4*q) to z + o*q + k*q**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*((-531)\/59)\/((84\/(-54))\/(-7))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1565803 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 12:46 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 72 - 107 - 49 - 84 - 74 to the form f*q + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - -24)*((-2665)\/15)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 3*h + 7. Let d(q) = 2*q**2 + 2*q + 4. Calculate -5*d(l) + 3*j(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -42*s - 390. Let t(r) = r + 14. Give -h(v) - 36*t(v).\nAnswer: 6*v - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1409500, -1409613, -1409726, -1409839?\nAnswer: -1409952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 - 23\/6*r**3 + 0*r**5 + 0*r**4 + 0*r + 17\/120*r**6 + 15*r**2. Find the first derivative of v(f) wrt f.\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 6*p**2 + 3*p - 14. Let l be ((-6)\/7)\/((-11)\/77). Let f be k(l). Solve -4*m - t + 0 = 4, 4*m = -f*t - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2 + 3. Let o(f) = -10*f**2 + 2. Determine 3*o(q) - 2*p(q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -181, -2\/5, 1\/7, -2 in descending order.\nAnswer: 0.2, 1\/7, -2\/5, -2, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbabbbbffxxbfbxxab. What is prob of sequence fbx?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351498 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + f + 2*f = 316, 244 = 4*t - 2*f. Let o = t - -3. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5 + 2 - 4*k**2 + 2*k**3 - 5*k**2 - k**3. Let i be o(9). Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2035 divided by -33\nAnswer: 185\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15285 and 37703.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*n**2 - 709*n**2 + 183*n**2 + 93*n**2 + 203*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 5 = -11*d. Let m(g) = -g - 5. Let r be m(-7). Solve y + r = d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 131, 216, 315, 434, 579?\n\"Answer: c**3 + c**2 + 75*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60319*z = 60355*z - 180 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = -0*i + 5*a, 0 = -2*i - 3*a - 13. Let x be i - -2 - 8*1525000. Round x to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 155980?\nAnswer: -155970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + 114*i - 1. Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5839381 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, a: 4, y: 2, m: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/62 - 0. Let g(x) = x**3 - 72*x**2 - 151*x + 223. Let p be g(74). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 0. Solve -4*o = 4*w + 2 + 10, 5*w - 2*o + 29 = x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**2 - 7*n**2 + 6*n**2)*(n**2 - 4*n**2 + 2*n**2).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -2 - (2 + 0). Let f(l) be the second derivative of l**3\/6 - 2*l. What is f(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, z: 2}. What is prob of picking 1 z and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c + 989. Determine v(52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from wvpipywwycyvyipc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 - -4c6521?\nAnswer: 4c6558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -4, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 30\/135 + (-115)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65396 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141148, 564630, 1270420, 2258506, 3528876, 5081518, 6916420?\nAnswer: 9033570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(66)*-2)\/sqrt(6)) + (sqrt(637) + sqrt(637) + sqrt(637)*-1 + 3)**2.\nAnswer: 83*sqrt(13)\/2 + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j*j**(-1\/7))**(24\/5)\/((j\/(j*j*j*(j*j*j**(-1))\/j*j)*j)**(-22\/5)*(j**(1\/7)*j*j)\/j*j**(2\/5)) assuming j is positive.\nAnswer: j**(-554\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = -0*o. Let x be 8\/3*(o - 0). Solve -5*q + 33 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.735476 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/10))**26\/(b\/(b\/((b**(2\/109)*b)\/b*b))*b*b**(-7)*b))**(1\/19) assuming b is positive.\nAnswer: b**(-2081\/10355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 4*q - 3. Let p(i) = -i - 1. Let z(o) = n(o) - 5*p(o). Give z(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -1.02. Put -2\/5, 0.4, -0.6, p in descending order.\nAnswer: p, 0.4, -2\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:18 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1318)\/440)\/(2482\/24820)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.355686 millimeters?\nAnswer: 0.000002355686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -184, -312, -490, -718, -996, -1324?\n\"Answer: -25*u**2 - 3*u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1191.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20992 + 55392. Round a to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612139710 divided by -42?\nAnswer: 14574755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*o - 22 = 0, -3*k - 5*o - 36 - 20 = 0. Let m = k + 19. Determine g, given that 0*g - 1\/2*g**2 + 0 + 3\/4*g**5 - m*g**4 + 7\/4*g**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2685 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112) + sqrt(77)\/(sqrt(11)*1))**2 - sqrt(21)\/(sqrt(192) + (sqrt(192) - sqrt(192)*1 - sqrt(192)) + sqrt(192))) + 4.\nAnswer: -81*sqrt(7)\/8 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-10))\/(-3 + 10). Let o = -32\/105 - m. Let h = -4 - -2. Put -1, o, h in descending order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = 4*u + 3*l, 5*u = 4*l + 16. Let o = 701 + -682. Calculate the remainder when o is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -5*l**3\/6 - 17*l**2\/2 - 7*l - 3. Determine r(-12).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 4 + 6)*(3*b - 3 + 3) + 3*b - 2*b + 0*b)*(80*b - 2474 + 2474) to the form l + u*b + q*b**2 and give q.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*m - 9 = 465*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/(k**0*k))\/((k*k**(-3\/5)*k)\/(((k**0\/k)\/k)\/k)))**(-39) assuming k is positive.\nAnswer: k**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4087715 and 393397?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(26320\/1620)*4\/(-6)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 13*u**2 + 72*u + 634. Let n be z(-15). Solve -s + 13*x = 11*x + 5, 25 = n*s + x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -5*o - 148. Suppose 27 = 31*v - o*v. What is the greatest common factor of v and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 1.99. Let n = 6.786 - 6.486. Sort r, 1, n, -5 in descending order.\nAnswer: r, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66526 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -2629, 21, 25 in ascending order.\nAnswer: -2629, -4, -2, 21, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v - 5*p, 82*v = 87*v + 2*p + 15. Let f(h) be the third derivative of -h**6\/120 - h**5\/10 - h**4\/4 - h**3 + 2*h**2. Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (162 + -593)*(-1)\/(-48)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768357 and 2495169?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 0*u**3 + 6*u - 8*u.\nAnswer: 10*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101202 - 11?\nAnswer: 20101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11199353 rounded to three dps?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d - 1. Let t(o) = -5*o**2 - 13*o + 10. Let z(m) = -6*g(m) - t(m). What is the units digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose 1167 = 38*b - 18479. Suppose 0 = -2*n + 4*k + b + 989, 4*k + 16 = z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let m be w(2). Let c be (5\/(-2))\/(m\/14). Let v = c + -15. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*i + 850 - 219 = 273*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2298 - 4451. Let b = k - -5290. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25820 or -7?\nAnswer: 25820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 16244*w - 16976960.\nAnswer: -2*(w + 1232)*(w + 6890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - 12*r - 3. Give b(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04121 from 0.692737.\nAnswer: 0.651527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.481 + -3.5. Let l = -132.981 + n. Let v = l + 133.0000106. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1507, 1582, 1679, 1804, 1963?\n\"Answer: a**3 + 5*a**2 + 53*a + 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 1. Let s(v) = -v - 13. Let b be s(-12). Determine p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 585, 946, 1325?\n\"Answer: 9*y**2 + 316*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/48 and -29\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 43\/4, -2, -1\/60, -1\/7, 0.0093?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 6 = -5*p - 2*v, p + 5 = 4*v. Suppose 0 = p*j - 8*j + 30. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 157 - 2*k + 4*k - 3*k.\nAnswer: -k + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/9, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2974 - 2967. Solve 0 = 4*p + 13 + g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 7. Let h(s) = s**3 - s**2 - 5*s. Let u be h(4). Suppose 5*i - u - 11 = d, -3*i + 33 = -3*d. Let l be x(i). Solve w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-5)\/((-150)\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-9 + -3 + 9). Let o = 0.7 - 0.69. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z + 1759. Is r(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 18*l. Let q(w) be the third derivative of -7*w**5\/60 - 22*w**2. Let k(n) = 36*n**2. Let u(h) = -2*k(h) - 11*q(h). Determine u(p(t)).\nAnswer: 1620*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**3*q + 5182*p**2*q + 892*p*q - 699*q + 1028 wrt p?\nAnswer: 9*p**2*q + 10364*p*q + 892*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387279.\nAnswer: 3, 37, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f - 3. Let q be 4\/6*(-24)\/16 - 7. Let i be 36\/q*(-6)\/9. Let l be 56\/20 - ((-9)\/15)\/i. Give j(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9148 + -4120. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -77. Let q = 1195 + -1166. Put -2, -1, q, s in decreasing order.\nAnswer: q, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923275731 to the power of 1\/3, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + 7*y**3 + 2 - 10*y**3 to the form b*y**3 + o*y + j + l*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 17*j + 35. Let p be k(15). Suppose 5*q - 570 = p*v, 31 = 2*q - 5*v - 191. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 306282626 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 496314 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8828 + -0.1172. What is the closest to 0.1 in 14\/5, 1\/10, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1013 + 4?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1465*u - 116. Let h(w) = -293*w - 21. What is -4*b(m) + 22*h(m)?\nAnswer: -586*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115395756?\nAnswer: 2, 43, 29740673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 3*c + 0*c - 164.\nAnswer: -2*c - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -53 - (2 - 19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6300.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 16*t**5 - 223156*t**4 - 15870980*t**3 + 36504620*t**2 - 24503756*t + 4093256 = 0.\nAnswer: -73, 1\/4, 1, 14018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + 27. Let j = 166 - b. Let a = j + -63.212. Round a to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16 + 51 - 14 + o - 22 - 10*o. Let t(c) = -3*c. What is t(s(d))?\nAnswer: 27*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -312 + -1?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4387, -4382, -4377, -4372, -4367, -4362?\nAnswer: -4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 19*m**2. Let a(z) = -z**3 - 5*z**2 + 4*z - 13. Suppose 3*f - 4*f = 6. Let p be a(f). What is the units digit of b(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) 0.3183 (c) 0.042 (d) 2\/11 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(0*g - 3*g + g)*(306*g + 229*g - 478*g).\nAnswer: -342*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011011 - 100?\nAnswer: -1010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2)**2 + 2 - (sqrt(539)*-1)**2.\nAnswer: -522 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -205*u + 413. Let r be y(2). Factor -6*s**2 - 2\/3 - 4*s - 8\/3*s**r.\nAnswer: -2*(s + 1)**2*(4*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (260\/(-36) + 9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 203021?\nAnswer: 5\/203021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - 188. Let z = -237.5 - h. Which is the biggest value? (a) z (b) 6 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/4 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(6*n + 0*n - 5*n) - 80*n + 26*n - 258 + 256 to h*n + f and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4 - 3) + 1)*1\/1. Suppose -556 = -g + 5*h - 0*h, -t*g + 3*h = -1105. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 107. Let n be (2\/6)\/((-3)\/d). Let p be 4*(n + 3) - (-134)\/(-34). Is -1 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16889653685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - c + 0*c. Let l(v) = 22*v - 12*v - 6*v. What is u(l(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1461*x**2 - 1461*x**2 - 1599*x**3.\nAnswer: -1599*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 14) to base 15.\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22222 (base 3) to base 13.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 286 in descending order.\nAnswer: 286, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*-8*(-28)\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -33 (c) 5 (d) 3 (e) 1\/62 (f) -159 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7554 = 2*z, -33*v = -5*z - 36*v + 18937. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 32*a**5\/15 - 163472*a**4\/15 + 3695254*a**3\/5 - 191951912*a**2\/15 + 93907592*a\/15 - 776832 = 0.\nAnswer: 1\/4, 34, 5040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-18)\/(m**(-8\/11)*m))**(-13))**34)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 101*y - 45*y + 715 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11158, 43486, 97366, 172798, 269782, 388318, 528406?\n\"Answer: 10776*t**2 + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(2 + n - 2) + (-2 + 1 + 4)*(4*n + 0*n - 3*n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -11*u + 9768. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -76*v**2. Let h(c) = 11*c**2 - 9*c. Let u(b) = -5*b**2 + 4*b. Let p(k) = 4*h(k) + 9*u(k). Calculate a(p(z)).\nAnswer: -76*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 45, 44.82, 1\/7, -1 in decreasing order.\nAnswer: 45, 44.82, 1, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 6. Let x be y(6). Suppose 5*d - d - x = 0. Suppose -d*m - 3 - 3 = 0, -2*m = -3*j + 25. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.0671809, 3\/5, -1, -3?\nAnswer: -0.0671809","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4185, 16674, 37469, 66570, 103977, 149690, 203709?\nAnswer: 266034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + -10 + 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 8*m**2 + 1\/90*m**5 + 0*m**4 + 0*m + 0*m**3 + 0. Suppose w(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.8758um in kilometers?\nAnswer: 0.0000004458758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -203.36 and 78677?\nAnswer: 78880.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757298279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 115?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*u - 20. Suppose -2*s - u = -6*s. Suppose -s*d - 60 = 2*h, 0 = 4*d - d - h + 47. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(266\/12))\/((-72)\/(-224)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 811*q**2 - 846*q**2 + 859*q**2 + 3*q**3 as k*q**2 + w*q + b + d*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988\/(-494)*((-1)\/9)\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + 640*t**2 + 4645*t + 5176. What is r(167)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4043521 at least -4043571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 7. Let h be d(4). Let f(l) = 3*l - 2. Is 10 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188130 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-66)\/12 - (-11)\/((-66)\/(-36)))*74. Solve g*r - 19*r = 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 1298 - 542 = -450. What is the remainder when z is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390495 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3.4388.\nAnswer: -3.4388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:17 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1796, -2013, -2224, -2435, -2652, -2881, -3128?\n\"Answer: -p**3 + 9*p**2 - 237*p - 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 26 = -6. Let j be 4 - 0\/(t + 9). Find the second derivative of -6 - 20*n**4 + 30*n - 7*n**j + 6 wrt n.\nAnswer: -324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (16 - 8) - (-2 - 2). Let u(h) = 5*h**2 - 11*h - 34. List the prime factors of u(c).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3065 - 15449\/5. Let a = w - -24. Let v(z) = -z**3 - 6*z**2 - 5*z - 2. Let b be v(-5). Put b, a, 0 in descending order.\nAnswer: 0, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29306 - 19629. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.6. Let x = 0.2 - 1. Let t = -0.8 - x. What is the nearest to t in r, 1\/2, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7673 - -9359. Sort -3, -0.2, 0.4, m in ascending order.\nAnswer: -3, -0.2, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716555.\nAnswer: 5, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (0 - -1)) + (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 49?\nAnswer: -34\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*h = -1519, -q + h + 1 = -384. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*((-280)\/294)\/((2805\/616)\/(-51))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**5\/3 - 10538*i**4\/3 + 9674*i**3 - 23758*i**2\/3 + 2642*i\/3 + 880 = 0. What is i?\nAnswer: -1320, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40133 divided by -16392?\nAnswer: 40133\/16392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by (-2)\/((-198)\/39 - -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 12 = 4*z. Let f = -7 + z. Suppose f*c - 5*g + 7 = 42, 0 = -4*c - 5*g - 8. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1453790 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1290\/630*-3 - 14\/(-2). Which is the smallest value? (a) x (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 78 = -5*f + 6*z, -3*f - z = -40. Solve 0 = -5*b - f - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(20)\/sqrt(100) - sqrt(5) - (3 + 3*sqrt(5) - sqrt(5))).\nAnswer: 11 + 56*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b + 1174. Let m be h(9). Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170409 is divided by 56803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edddddddddddeddddddd. What is prob of picking 2 e and 2 d?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 7*f - 7. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1074 in -5, 248, 0.2?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42 - -731441.\nAnswer: 731441.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113078083*k**5 + 2*k**2 + 78949205 wrt k.\nAnswer: 6784684980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 98*z + 21. Let n be f(3). Let d be (2\/(-12))\/(n\/(-42)). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 6592?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5700 and 60876570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 48. Let l be 0\/((g\/(-4))\/((-1)\/4)). Solve a + a = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1460 + 1468. Solve -d*p + 16 = 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -14 (b) -5 (c) 3\/7 (d) 39\/62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8 + 2*f - 8)*(2 - 1 - 4) + 1596*f - 5 + 5 - 9373*f)*(-1 + 3 + 0) as l*f + n and give l.\nAnswer: -15566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -1769*z**2\/2 - 1369*z - 110. Find the first derivative of q(i) wrt i.\nAnswer: -1769","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - a**2 - 43*a - 5*a**2 - 4 + 3722*a**3 - 5*a - 3723*a**3 to f*a**3 + d + i*a**2 + t*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l + t, 3*l + 5*t + 26 = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((3\/33)\/(-1)). Let c be 34 + -2 + d + -8. Let q(y) = 15*y**2 - 1. Let j be q(-1). Calculate the highest common factor of c and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f**2\/2 - 131*f\/2 - 30 = 0. What is f?\nAnswer: -3, -20\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -554 or -2774\/5?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1500))\/(-3*sqrt(36)\/sqrt(3)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*a - 3*a. Let d(l) = 2 - 4 - l + 5*l**2 + a - l**3 + 6. Let t be d(5). Solve t*y = -y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-4)**2 + 4.\nAnswer: 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q + 57 + 9*q + 5*q - 19*q to j + f*q and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/(-6))\/7*15945\/(-4252).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -673.7378 to 1 decimal place.\nAnswer: -673.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c4a0 (base 15) in base 8?\nAnswer: -571621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - -1) - (14 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**9\/15120 - t**8\/5040 + t**5\/6 - 4*t**2. Let n(f) be the third derivative of c(f). Factor n(g).\nAnswer: -4*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**3 - 11*v**2 + 11*v - 11. Let o(h) = 7*h**3 - 6*h**2 + 6*h - 6. Calculate -11*o(l) + 6*p(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 - l**2 - 4*l - 7 + 12*l. Let b be a(7). Factor 4*p**b - 3*p**2 + 0*p**3 + 2*p**3 + 2*p**4 - 5*p**3.\nAnswer: p**2*(p - 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5842, -5536, -5024, -4306, -3382, -2252?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -5, -45, -3 in ascending order.\nAnswer: -45, -5, -3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 362 + -360. Solve -n*o = -4*p - 6, -2*p = -5*o - 2 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 5, z: 1}. Give prob of sequence zr.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 1\/18*a**3 + 0*a + 1\/36*a**4 - 1\/630*a**7 - 1\/180*a**6 - 4*a**2 + 0 + 0*a**5. Factor u(d).\nAnswer: -(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x. Let o(j) = 25*j - 1. Let w(k) = -4*m(k) + 2*o(k). Give w(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(91))\/(sqrt(7) + -2*sqrt(567)).\nAnswer: -30*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13427, 4 in ascending order.\nAnswer: -13427, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppzqqgn. Give prob of sequence pq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11c (base 16) to base 8\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9 or 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 6. Let b be g(6). Suppose f + 3*i = -3*f + 10, 3*f - 3*i - 18 = 0. What is the greatest common divisor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -452 + 3174\/7. Let k = 0.3441 + 1516.6559. Let t = -1516.6 + k. What is the nearest to x in t, 2\/3, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -18. Let a(x) = -x - 7. Let c be a(s). List the prime factors of (36\/(-8))\/(c\/(-10)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568\/(-24990) - (-2)\/(-14)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 16}. Give prob of sequence qq.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 17. Let o be 9\/2*r\/(-6). Suppose -2*l + 99 = -5*p, -5*p = o*l - 0*p - 86. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 14*p**2 + p + 14. Let a be z(-14). Let c be 3*(-1)\/24 - (a - 3). Which is greater: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17617633*i**2 - 14538*i + 29076. Let j(h) = -4848*h**2 + 4*h - 8. Calculate 4*g(y) + 14538*j(y).\nAnswer: -9692*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -3*t, t + 1 = -3*t - u. Let w(z) = 2*z + t*z - 2*z**2 - 2 + 6*z**2 - z**3. Let b be 3*-2*100\/(-120). Give w(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-9)*-6*1. Let t(y) = y + 6. Let z(g) = 5*g + 31. Let x(k) = i*t(k) + 4*z(k). What is the lowest common multiple of 9 and x(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 204.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -128 - (-64 - (43 + 2 + -120))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let z be 0 - i - (1 - -35). Is 5 a factor of (z\/4)\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25049, -49137, -73225, -97313, -121401, -145489?\n\"Answer: -24088*p - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {l: 3, g: 5, q: 1, n: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:07 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12383 + -136233\/11. What is the nearest to 0.2 in -3, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90 (b) -4434 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.9742 (b) -4 (c) 1 (d) 0 (e) -0.2 (f) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a**5 - 26688*a**4 + 6627342*a**3 - 15984996*a**2 - 13889289*a + 8749764 = 0 for a.\nAnswer: -1, 4\/9, 3, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m - 10. Let t be g(5). Let v be 2*3*(-4)\/t. Factor 0 + 4\/5*h - 4\/5*h**3 + v*h**4 - 2\/5*h**2.\nAnswer: 2*h*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 24. Let l be i(22). Suppose -3*n - l = -8. Let q be (-90)\/n + (-3)\/6. Solve m + q = 5*a, 3*a - a = -m + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90584, -183142, -275700, -368258, -460816?\nAnswer: -553374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261413.327 - 261134. Let c = 280 - v. Round c to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 16. Suppose v = -4*w - 3*k - 0, w + 8 = -2*k. Is (-4)\/w + (-3 - -21) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215490079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 - 7*y**2 + 9*y - 3. Determine a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r**5 - 3*r**4 - 23*r**3 + 12*r**2 + 2*r - 4. Let b(a) = -a**5 - a**4 - a**2 + a + 1. Let j(d) = -5*b(d) - c(d). Determine s, given that j(s) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362\/1467 - -4\/163. Let t = -19 + 191\/10. What is the closest to l in -1\/5, 2, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29944 is divided by 9760.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 4*d - 17 = 19*p, d + 18 = 4*p. Sort -3\/128, p, 2.\nAnswer: -3\/128, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(200\/(-70))*-2*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007038 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -3)*-2 + 1 + (3 + sqrt(3))**2.\nAnswer: 4*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -180. Suppose 2*u - f*u = -2696. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -3424.9585787558.\nAnswer: -3427.9585787558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l**2 - 17*l - l**2 + 20*l to y*l**2 + u*l + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 29*y**2 - y - 21. Let i be f(-29). What is the units digit of (180\/i)\/(-4*3\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21351.34ml?\nAnswer: 21.35134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + v - 512 + 2258 = 0, -3*v = -3*a + 1050. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 4\/3*c**3 + c**4 + 0 + 0*c - 2*c**2. Let s be q(8). Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 5848?\nAnswer: -5852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -359 (base 10) to base 7\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.97 + 23.5. Let s = -9 - -8.87. Let y = u + s. Sort y, 1\/3, -3 in descending order.\nAnswer: y, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81470, 81493, 81532, 81587, 81658, 81745, 81848?\nAnswer: 81967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158605 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -13. Let u(d) = 8 + 6 + 0*d**2 - d**2 - a*d - 1. List the prime factors of u(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40385 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 235*m**2 + 252*m**2 - 444*m**2)*(-24*m + 20*m - 20*m).\nAnswer: 10248*m**3 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81\/2 - 9473\/234. Let m be 5 + -5 + (-580)\/(-6552). Let l = i - m. Which is bigger: l or -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477999 divided by 3.\nAnswer: 159333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -275.36 < 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -173a0 - 10ca?\nAnswer: -1849a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 902 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2188, -0.47, -3\/5, -2\/15, -2?\nAnswer: 2188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1021642 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 8) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -58 (c) 21.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 24209.\nAnswer: -24208.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -132870029, -132870032, -132870035, -132870038, -132870041, -132870044?\n\"Answer: -3*f - 132870026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1067 + -1071 - (-14 + 1 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*f = 26, 0*u + 31 = u - 5*f. Suppose u*j + 0*j + 24 = 0. Let b(t) = -5*t**3 + 5*t**2 + 2*t - 3. Is b(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - l - 14 = 0, -57 = -5*k - 3*l. Let h = -11 + k. Let b be (-3 - -3)\/(h - -5). Solve b*j = 4*j + 2*c, c = -5*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3085627\/1211 + -2548. Let x = l + -49645\/7266. Let p = x + 16\/3. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.504 - 19.504. What is the fourth biggest value in 29, -0.1, 3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1057\/3 - 352. Which is greater: -5.79 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-3*p**4 - p**4 + 3*p**4) - p**4 + 0*p**4 + 3*p**4.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bymbekkmbbymkeen. Give prob of sequence emyk.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, -1, 1797 in decreasing order.\nAnswer: 1797, -1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 3*a + 2. Let w be z(-2). Let n be 4\/8 + (-19)\/2. Let d = n + 10. Solve -w*l + 11 = t, l - 3*t + d + 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 2 + -2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*z + 12 = 0, 3*u - 2*u - z + 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8c6 (base 14) to base 4\nAnswer: -123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 2 (c) -92 (d) -4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12 + -12 + 19).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23254 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t*t)**(3\/13))**(-10\/7)*((t**(2\/5))**12)**(-11) assuming t is positive.\nAnswer: t**(-24324\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 50. Suppose 2*f - 6 = 0, -2*x + 2*f = 4 - w. What is the second derivative of -49*k**2 - 64*k**x + 85*k**2 + 27*k wrt k?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -3 + sqrt(45) - (sqrt(320) + sqrt(20))) + -2 - (-4 + (sqrt(45) - sqrt(180)) + 4))**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1052 = -2*l + 314. Let p = l + 381. Sort -3, p, 0, 1 in decreasing order.\nAnswer: p, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7276171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18.5 or -5\/2247?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/((-1)\/6). Let b(x) = -3*x - 3. Let c be b(-1). Let 0*f + c + f**2 - 9\/2*f**3 - 5\/2*f**5 + 6*f**l = 0. What is f?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -26\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -36. Suppose x = -5*l + 53318, 5*l = z*x + 17382 + 35924. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0242 + -335.0242. Which is bigger: 1\/2 or a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-36)\/45.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a - 57. Calculate r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/9 - 1768*p**4\/3 + 42368*p**3\/9 = 0. Calculate p.\nAnswer: 0, 8, 5296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/2100 + 7*w**6\/900 + w**5\/50 - 2*w**3\/3 - w**2 + 3*w. Let s(i) be the first derivative of p(i). Factor s(u).\nAnswer: 2*u*(u + 1)*(u + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*q = -q - 134, 3*y - 4*q - 166 = 0. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 14 = f, -32 - 2 = 4*f + 5*g. Let o(u) = u + 7. Let h(k) = -k - 6. Give f*o(a) - 7*h(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -80 + (6 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 38*t**2 + 42*t + 46. What is j(11)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/11 + 7*n**4\/11 + 3*n**3\/11 - 23*n**2\/11 + 14*n\/11 = 0.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.05?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -871345 (base 9) to base 13\nAnswer: -1524c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.54 (b) -0.5 (c) 4\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254389?\nAnswer: 254389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 15*m - 2232. Let k = 13439\/6 + m. Let z = -72403\/18 + 4024. Find the common denominator of k and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:10 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 6600?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 2\/11 (c) 4\/9 (d) 63 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1975 and 2354875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 3393 = -3*u + 29*n, n = -u + 1130. What are the prime factors of u?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b + 7. Let q be r(-4). Let m be (q - 4)*4\/(-3). Is (-6963)\/(-11) + 2 + m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -213714.\nAnswer: -641142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10 + b**2 + 5 + 2*b**2 + 6. Let z be s(3). Suppose -5*y + 25 = 5*q, 3*y - z = -y - 2*q. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Suppose 4*x = 5*z - 22, z = 4*z + 2*x. Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4*0)\/(-2). Let f(s) = -s**3 - s**2 - s - 1. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(5 - 5 + 2*y)*(-3*y + y + 0*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 1, w: 3}. What is prob of sequence wsus?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1\/485, -2\/11, 5 in descending order.\nAnswer: 5, 1\/485, 0, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 49760 and 89577423.05.\nAnswer: 89627183.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 15*o**2 - 10*o - 8. Let j be k(13). Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/4 - (3315\/(-78) + 44).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Let l(f) = 7*f - 3. What is the remainder when l(y) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70550 divided by 17?\nAnswer: -4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 4*a**2 - a - 2. Let h(m) = -8*m**3 - 22*m**2 + 2*m + 12. Give h(q) + 6*o(q).\nAnswer: -20*q**3 + 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 7*q**2 + 6*q - 2. Let l be z(6). What is the second derivative of -l*x**2 + 214*x**2 + 2*x**4 - 8*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -57147*n - 29. Let k be j(-7). Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -5*u, -3*h = -27*u + 25*u - 33 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2454895*a**4 - 2297492*a**2 + a wrt a?\nAnswer: 58917480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 + 115*v - 390. Let i be n(4). Let f(s) = -s**3 + 8*s**2 - 12*s - 13. Give f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40416 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*h - c - 7, -893*c + 892*c + 4 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110157 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268304839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424 by -2.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11064 + -0.23064. Which is the fourth smallest value? (a) -4\/13 (b) 2\/5 (c) 1\/4 (d) s (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150030507.\nAnswer: 3, 11, 421, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 170\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h + 19. Let i(c) = c + 5. Calculate -22*i(z) + 6*x(z).\nAnswer: 14*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-11 + (1 - -8)). Let -d*j**2 - 3 - 3\/2*j**3 + 13\/2*j = 0. Calculate j.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1370 + -3?\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 14056122?\nAnswer: 14056125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(5 + -3 - 0). Let y be (2 - h)\/3 - 0. What is the second derivative of y*z**5 + 6*z**5 - 2*z**5 - 3*z + 0*z**5 wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 4211?\nAnswer: 4211.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7461764231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-6)*-10 + -9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 102*o + 205*o - 1 - 97*o in the form a*o + m and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-4) + -1)*3 + 2. Suppose -2*s + 66 = s. Suppose -3*f + 73 = s. Solve 3*y = -f + w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97883053\/90 + 1087567. Let h = 178\/9 + i. Calculate the common denominator of 95\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000699007208 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1819*y**2 - 1819*y**2 + 61*y**3 + (3 - 3 - y**2)*(-y + y - y) + 0*y**2 + 2*y**3 + 0*y**2.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/12 and 109\/10556?\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(25*h**3 - 3*h - 131*h**2 + 278*h**2 - 144*h**2) to d*h + k*h**3 + n*h**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 24166056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1814 = 4*r + 7134. What is r rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + sqrt(448) + 0) - sqrt(7))*5.\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 less than -236193?\nAnswer: -236334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 + 411856*a + 618444 with respect to a.\nAnswer: 12*a**2 + 411856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15.2719211 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-96)*(-8)\/6. Let t = 0.0328 + 0.2672. Put m, 0.4, t in ascending order.\nAnswer: m, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566755182.\nAnswer: 2, 3, 7, 53, 84869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3263425 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223083706 a multiple of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 - v. Let t be r(2). Let k = -1 - t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:48 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - 4*j + 2. Let x(a) = a**2 + a. Let q(i) = c(i) + 3*x(i). Suppose 1 - 9 = -2*d. Suppose -m - d*m = 0. Calculate q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -3*h + 3*l + 83, -3*l - 4 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1499 + -1499.002374. What is g rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c**3 - 996*c**2 - 199*c - 55. Determine w(50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243 + 501*y + 243 + (3*y - 5*y + y)*(-1 + 0 - 1) - 3 + 3 - 4*y)*(-2*y**3 - 5*y**3 + 5*y**3).\nAnswer: -998*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 1585*o**2\/2 + 43678*o - 198640.\nAnswer: (o - 1528)*(o - 52)*(o - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from 3046253.01205.\nAnswer: 3046234.01205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 69 = 5*j + 24, -2*t + 62 = -5*j. Let q(w) = 7*w - 211. Determine q(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 - 16 - (-1)\/1. Suppose 0 = d*j - 13 - 74. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -20. Solve -f - 2*f = -q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.027 + -1.027. Let j be (0\/5)\/(3 - -3). What is the nearest to -0.1 in j, 4\/11, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -4*s. Let c(r) = s - 5 + 3 + 4 - r. Let m be c(-2). Solve -2*o - m = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -112, -243, -426, -661, -948?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2*i - 4*i + (-3 + 2 + 3)*(5*i - 4*i - 2*i) + (3*i - 5*i + 6 + 0*i)*(1 + 2 - 5).\nAnswer: i - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 40 = -2*r - 3*r, 0 = -2*n + 10. Suppose -r*y = -25 - 30. Let s(w) = -2*w + 5. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163347 by -163347.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 532*j - 2665. Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**3\/3 + 7*x**2 - 9*x - 216. Find q, given that u(q) = 0.\nAnswer: 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 19 - 60)*(-11*o**3 - 3*o**2 - 5*o**2 + 12*o**3) as w*o**2 + r*o + v*o**3 + n and give w.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.26036ml to litres.\nAnswer: 0.05226036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180094 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -106563?\nAnswer: 106567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 179575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f = 67*f - 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*i - 494*i**2 + 1 + 205*i + 1098*i**2 - i**3 in the form u*i**3 + b + d*i**2 + z*i and give d.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111110110001 (base 2) to base 15\nAnswer: -12cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20706\/510 - 4\/(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h**2 + 2*h + 107. Is z(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 153, 1887, 2, 15.\nAnswer: 2, 3, 15, 153, 1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 50175 and -100 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 + 10*v + 1. Is u(-9) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749672330 and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.161 - -0.009. Let s be (1 - (-3)\/(-2))\/2. What is the fourth smallest value in 1, -0.1, s, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/1 + 1330\/(-1710)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = 5*n, -2*n + 8 = 3*g - 7*g. Calculate the remainder when (-1)\/g + 5 + (-1450)\/(-15) is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - r - 7 = 0, -4*x = -3*r + 8*r - 22. Suppose -12 = -5*c + 2*n, -c + 4*n - x + 9 = 0. Let i be 12 - (2*-1 - -2). Solve 0 = s + c*s - i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6319081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -643, 2, 0 in descending order.\nAnswer: 2, 1, 0, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187)*6)\/sqrt(11))**2 - sqrt(119)\/(sqrt(42)\/(sqrt(6) - sqrt(54)) - sqrt(7) - sqrt(7)).\nAnswer: 2*sqrt(17)\/5 + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 2. Suppose 0 = 2*y - 12. Solve y*p - n*p + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((0 - (-7 - -7)) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + g + (0 + 2 - 3)*(3*g + 2*g - 3*g) + g - 5*g - 2*g)*(23 - 8*g - 23) in the form w*g + n*g**2 + z and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let h(f) = 2*f**2 + 4*f + 3. Suppose -11*i - 341 + 319 = 0. Determine i*b(y) + h(y).\nAnswer: 2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjjwjjzjzjjw. Give prob of sequence wjwj.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072 = -4*o - 4*o. Is 133 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -700?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 - 72*f + 119. Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 1340.\nAnswer: -227.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10166 and 442?\nAnswer: 10166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*n = -465*n - 500. Solve -80*z = -84*z - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 + -100?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -123591*o**2. Let a(s) = 34*s. What is k(a(d))?\nAnswer: -142871196*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-40 + 16 + 216 - 43)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 8, t: 5}. Give prob of sequence lmll.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d**4 + d**3 + d - 115*d**2 + 117*d**2 - 7*d**4 - 4 in the form x*d**4 + n + c*d**2 + v*d**3 + k*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -78, -96, -110, -120?\n\"Answer: 2*f**2 - 28*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllddxdddxz. What is prob of sequence xl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 3, 177?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g - 10. Let y be j(7). Let z be -1*y\/4*(-2 + -1). What is m in -6\/7*m**4 - 6\/7*m + 4\/7*m**2 + 4\/7*m**z + 2\/7 + 2\/7*m**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 4 - 4)*(2*i**3 + i**3 - 5*i**3) + 14*i**5 - 13*i**5 + 36*i**5.\nAnswer: 35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 3. Let t(c) = 270*c - 65. Let d(n) = -33*n + 8. Let g(a) = -25*d(a) - 3*t(a). What is 7*b(x) - 4*g(x)?\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 22*i**2 + 77*i + 54. Calculate the smallest common multiple of (-2)\/2 - (-37)\/1 and l(-25).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + 36346. What is the highest common divisor of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14205, -56826, -127863, -227316, -355185, -511470?\n\"Answer: -14208*r**2 + 3*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by -657260.\nAnswer: 143\/657260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -19 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179559929 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 8 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-882))\/((-1)\/(-21))*(-98)\/(-4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 18*t + 63. Determine z(-19).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwfffwffffw. What is prob of sequence wffw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -r - 27*n - 16, -r + 149 = 4*n + 73 + 79 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -3*x**7\/14 + 4*x**6\/5 + 143*x**5\/20 + 101*x**4\/6 + 58*x**3\/3 + 12*x**2 + 14*x + 2. What is i in a(i) = 0?\nAnswer: -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 32*h = 52668. Let r be (h\/99 - 15) + 2927\/9. Calculate the highest common factor of 26 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11045 * 2253\nAnswer: 24884385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145108 >= 12596191\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-30 + -2)) + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.928. Let u = 0.128 - f. Which is the nearest to 0.1? (a) -1 (b) u (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t = -82*t - 762 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8285*n + 8230*n - 3080 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h + 2*h**3 + h**3 - 3*h**2 + 5*h**2 + 0*h**2 in the form t*h**3 + y*h + u + k*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and 89\/1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 111870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -34*w + 7. Let y be x(-2). What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {z: 3, x: 1, h: 1, e: 2, v: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056604313 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3ba + 1836?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 - 150. Which is the nearest to w? (a) 2 (b) -4 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 19*t**4\/24 + 2*t**2 - 215*t. Let f(w) = 2*w - 13*w + 0*w. What is f(i(c))?\nAnswer: -209*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 7*o**4\/6 - 38*o**3 - 168*o**2. Let u be f(8). Is 5 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321210203 + 0.976418\nAnswer: 321210203.976418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3 + 1 + -3 + 2. Let s be 1\/(j\/337) - 12\/36. Let v = s - 62. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2 + 5*l + 4. Differentiate m(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = 3*w - 1464. Calculate the remainder when 178 is divided by w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 82, -262.\nAnswer: -262, 0, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -431.\nAnswer: -12\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:38 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - 12*c - 75. Let n(j) = -7*j**2 - 13*j - 76. Let t(o) = -4*h(o) + 3*n(o). Calculate the smallest common multiple of 135 and t(14).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645\/(-70305) - (-460)\/(-9265).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39681213 divided by 17\nAnswer: 2334189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1766757 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1. Let x(r) = r + 10. Suppose -2 = -d, 4*y = -5*d + 44 - 2. Let j = 10 - y. Suppose 1 = -j*n - 3. Calculate n*x(h) - 22*q(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 55328273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26768 and 9868788?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 152 = -29*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a = 68*a - 776 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362 = 8*a + 751 + 691 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**23\/b*b)\/(b**(-2\/5)\/b)*(b\/(b*b\/b**(1\/10)))**(-1\/10) assuming b is positive.\nAnswer: b**(2449\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 7546368?\nAnswer: -7546365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 6, 1, 11\/4, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510217519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20)*-44*(0 - -5). Let x = 44 - k. Suppose 3*t = t - 4*d + 2862, 5*t - 5*d - 7215 = x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79106 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9077 (base 15) in base 8?\nAnswer: -73427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**6\/40 - 3*r**5\/10 + 3*r**4\/2 - 4*r**3 + 33*r**2\/2 - 25. Let b(u) be the second derivative of q(u). Factor b(v).\nAnswer: 3*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14989 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -341 or 297332\/11?\nAnswer: 297332\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 17.9. Let p = x + 21. Let n = -9 + p. Which is the third biggest value? (a) n (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.2 (c) 2\/7 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 491, 500, 515, 536, 563, 596, 635?\n\"Answer: 3*g**2 + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r + 6. Let a(b) = -b + 1. Calculate -6*a(v) + n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-5\/2))\/p**3*p*p*p**(-2\/15)\/p*p**(-4\/5)\/p)**24 assuming p is positive.\nAnswer: p**(-532\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006667333 to the power of 1\/2, to the nearest integer?\nAnswer: 31728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-9 - 5 - -23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2. Let z be w(-1). Suppose -2*u + 104 + 69 = z*b, -120 = -4*b + 3*u. Let m = b - -1. Is m 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 vzrkrrjzvrmzvkv. Give prob of sequence rv.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 6*s + 1 + 4. Suppose -59 + 83 = 4*b. Let v(d) = 6*d + 14. Determine b*v(x) - 17*m(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(19))*-4)**2 - (sqrt(19) - (sqrt(931) + 1 + sqrt(931)))**2) + (-1*sqrt(152)*-1 - sqrt(152))\/sqrt(8).\nAnswer: -2908 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-627 - 683 + 107)*(m**2 - m**2 + 2*m**2).\nAnswer: -2406*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 10*l**2 - 20*l + 42. Give s(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 919104, 919112, 919120, 919128, 919136, 919144?\nAnswer: 919152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*t - 3364, 4*n + 5*t - 6704 = 3*t. Let d be 1 + n - (-9 - -12). What is the third derivative of 1672*p - d*p + 16*p**3 - 5*p**2 wrt p?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1323098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -72*q + 4. Let k(a) = -2606*a**2. Give n(k(o)).\nAnswer: 187632*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -305, 26, -2 in ascending order.\nAnswer: -305, -2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 162*u + 167*u - 12, u + 2 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025562109 rounded to seven dps?\nAnswer: -0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30067 and 8430?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11274000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 44*n - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 3*d - 1. Let m(x) = -10*x**3 - 3*x**2 + 10*x + 3. What is m(h) + 4*n(h)?\nAnswer: -10*h**3 + h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f + 18 = 0, -2*f = -0*v + 3*v - 12. Does 11 divide v + -11 + ((-8)\/4 - -271)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 87 = -2*i - 57, 5*x = 3*i + 212. Let q = 24 + i. Which is smaller: -41 or q?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllffnfn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-4 - (6 + (-1576)\/160)). Which is the third smallest value? (a) w (b) 2 (c) -0.37 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.2012142323 and 0.0286.\nAnswer: -19.1726142323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 236. Let s(w) = -w**2 + 3*w + 10985. Calculate c(s(r)).\nAnswer: -2*r**2 + 6*r + 21734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19051?\nAnswer: 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -134*z**2 + 2*z - 1. Let y be i(1). Let c(q) = q**2 - 25*q - 18. Let h be c(6). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -36. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -112. Suppose 0 = -q*o - 7*o. Suppose -3*t - 2*m - 5 = -o*t, 4*t + 3*m + 8 = 0. Solve 0 = l + t + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 89758*u - 538544. Give n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 667 = r - 665, 3*r = -6. Let v be -1 + 8\/21 + 1. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -66, -67, -50, -15, 38, 109?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:40 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 16 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7366*(-1)\/(-22) - (-8)\/(-44). Calculate the common denominator of (36\/(-24))\/(1350\/w) and 61\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) -0.3 (c) -4 (d) -0.5 (e) -29206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-105))\/(((-2)\/(-3))\/(910\/234)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 330646160?\nAnswer: -330646160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48647, -97964, -147281?\nAnswer: -196598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 9*n - 355. What are the prime factors of n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 174726255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 735, 733, 731, 729, 727?\n\"Answer: -2*w + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47ab (base 12) in base 4?\nAnswer: 1331303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Sort 4, -1, l in ascending order.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-20))\/(h*h**(-23)) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38024?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2 - 4 + 2 + 1 + (3 + 1 - 5)*(4 - 2 - 1) - 1 + 4 + 1)*(4 - 2*a**3 + a**3 - 2).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 137088\nAnswer: 685440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1069158*b - 1069162. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/2 + 71*n**2\/2 + 9288*n. Determine d(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9198886 is divided by 9755.\nAnswer: 9676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1308\/(-4428) - (-93)\/1271.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6490101*0.1\nAnswer: -649010.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1123 - 1117. Let x(y) = y**3 - 8*y**2 + 2*y + 6. What is x(b)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 3\/8 (c) -10\/19 (d) 2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58164 is divided by 14468.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2 - 0) - 9. Let c = 17 + b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2264171 (base 11) to base 2.\nAnswer: -1111000110011101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 2. Let u = -0.0497 + -0.1503. Let o = -26.9 - -27. Which is the closest to o? (a) w (b) -1\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z. Let l(y) = -y**2 + 0*y**2 + 14*y - 14*y. Give s(l(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 276 - 277 = -363 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:54 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 - 195. Let h be (-318)\/(-102) - n - -3. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1002 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7516191369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 3401589.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 - 8. Let p = -4 - -4.5. Let g = p + i. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/66 - 345824\/(-176) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -633\/5 - -126. Let h = -6 + 6.5. Let b be (-3)\/(-18) + -1 + 1. Sort j, b, h in increasing order.\nAnswer: j, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154718041 to the power of 1\/2, to the nearest integer?\nAnswer: 12439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 45 = 3*s, -w + 4*s = 4*w - 57. Solve i + 7 = -4*k, 3*i + 2*i - 2*k = w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q - 3. Let c = 0.16 - 0.1. Let y = -0.16 + c. What is the biggest value in -1\/2, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 12*s + 14*s + 14*s + 12*s - 58*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, m: 1, h: 1, z: 1, o: 1}. What is prob of sequence on?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 3777, 2\/3, -210, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(330\/50))\/((-155)\/558)*3\/16?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16688012 to the power of 1\/2, to the nearest integer?\nAnswer: 4085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f + 1. Let h(k) = -k**3 + k + 1. Let w(p) = 6*p**3 - 7*p**2 - 3*p - 5. Let u(j) = 5*h(j) + w(j). Calculate 2*q(y) + u(y).\nAnswer: -y**3 - 7*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/413 + (-114)\/42 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-11) + 8\/(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13 - 4*j + 10 + 3*j. Let f be s(0). Suppose -3*y = 4*p + f - 111, -p + 5*y - 1 = 0. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w + 1. Let b(n) = 2*n - 2. Let c be b(2). Let r be f(c). Let j = 4 - r. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28651723 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155758.111563 - -0.16.\nAnswer: 155758.271563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from pypxxjxjxxyjjvxp?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*i**3*t**3 - 2598*i**3*t**2 - 316723*i**2*t**4 + 708*i**2*t - 2*t**2 wrt t?\nAnswer: -432*i**3 - 7601352*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 26643*f\/4 + 26631.\nAnswer: 3*(f - 8877)*(f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136270637.\nAnswer: 31, 4395827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 169 = -o, 2*c - 748 = -2*o - 2*o. Is o a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -25. Is 11 a factor of (2 - l)\/(4\/(-94))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwrwrwrawar. What is prob of sequence rwr?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 36*v - 4*l - 262 = 0, -5*v + 6*l + 53 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1284 and 12502736.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.384 and 10344.\nAnswer: -3972.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (132\/(-8) + -3)*-24. Suppose 5*s = -38 + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/34 + 12*o**3\/17 - 105*o**2\/17 + 392*o\/17 - 85. Factor h(p).\nAnswer: -2*(p - 7)**2*(p - 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184679519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 4*v**2 - 3. Let p be z(-3). Suppose -3*a = 0, 4 = 2*r + a - p. What is the third derivative of l**5 + l**r - 3*l**5 + l**2 wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 8535*a - 111308. Determine w(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.12 + -13.92. Let t = -18 - -17.94. Sort -0.2, t, o, -1\/3 in increasing order.\nAnswer: -1\/3, -0.2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -62\/15*c**3 + 32\/15*c**5 + 2*c + 4\/15 + 44\/15*c**2 - 16\/5*c**4 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-1 - (-24)\/28). Suppose -3*x + 4*w = -x - 22, 5*w = 4*x - 44. What is the highest common divisor of i and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 79 - 75 - 208)*(g**3 - 85*g**2 + 41*g**2 + 49*g**2).\nAnswer: -330*g**3 - 1650*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 44 = 146 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 7\/6*d**3 - 1\/12*d**4 + 0 - 21*d + 4*d**2. What is the remainder when 38 is divided by p(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -939, 1 in descending order.\nAnswer: 1, -9, -939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 85816727*g**2 - 85816760*g**2.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -775 - -1214. Suppose 57 = 3*d - 87. Let y = z - d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/4 - 19*o**3\/2 + 15*o**2\/2 - 4*o - 2. What is the hundreds digit of l(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*v = -2*v - 31, -179 = -5*a + v. Let l = a - 13. Let x be (-11)\/(-1) + 0\/(-1). Calculate the greatest common factor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29567 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g + 347*g**2 - 2*g - 68*g**2 - 8 - 5*g. Does 51 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 23*y**2 + y - 17. Give d(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.075, -4, 4?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -1\/42 (c) -20 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474664*b*q**4 + 113*b*q**3 + b*q**2 + b*q - 56*b - 51*q**2 - 2*q + 61 wrt q.\nAnswer: -11391936*b*q + 678*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/11*(-5)\/(20\/(-6954)). Let v = a + -632. Are v and -13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - w - 21, -3*w + 4373 - 4371 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 34*y**2 - 35*y + 9. Suppose 4*b = 62 + 34. What is the lowest common multiple of b and k(35)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/40 + m**5\/60 + 7*m**2. Find the third derivative of i(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 125*g**3 + 2*g**2 + 3*g - 4. Let x be t(1). Suppose 111 - 475 = -13*r. Calculate the greatest common divisor of r and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/6 + i**3\/2 + i**2\/2 + 36*i. Let c be (0 - 3)\/((-6)\/(-4)). What is the units digit of m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368464 is divided by 73682?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-9)\/3)\/3. Let z be 1 + b + (1 - -22). Round z to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3))\/o**2)\/((o\/o**(2\/13))\/((o*o**2)\/o)) assuming o is positive.\nAnswer: o**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**6\/3 - 16*c**5 + 160*c**4 - 2560*c**3\/3 + 2560*c**2 - 4096*c - 224. Find o such that b(o) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -475, -448, -417, -382, -343, -300, -253?\n\"Answer: 2*o**2 + 21*o - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - -3 - -4)*(3085 + -94)?\nAnswer: 2, 3, 13, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 9:46 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -22421\nAnswer: -8968.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17a6 (base 12) to base 16\nAnswer: -b2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(231)\/(sqrt(44)\/sqrt(4)))\/(-2*sqrt(700)) - (sqrt(36) - sqrt(216)\/(sqrt(6)*1))\/(sqrt(48)\/(sqrt(4)*1)))**2.\nAnswer: -1997\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-45)\/40.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 + 295. Let u = 1 - 16. Let r = w - u. Calculate the highest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h**2. Let m(g) = 33*g. What is u(m(j))?\nAnswer: -13068*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -39. Does 3 divide (m\/30)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7254865946 divided by -2?\nAnswer: 3627432973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 19*a - 74. Let d be t(-6). Suppose -1080 = d*s + 8*s. Let r be (5 - 0) + 2550\/s. Is r greater than or equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*(z*z**(-4)*z)\/z)\/z)*z*z**(1\/2))**(4\/13)*((z\/(z*z**(1\/4)))\/z*z**(-1))\/(z*z**(4\/3)*z*z*z\/z**(3\/7)*z) assuming z is positive.\nAnswer: z**(-7057\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*d = -123, -9*f - 12 = -12*f - 50*d for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839 (base 12) to base 15.\nAnswer: 54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5345.605ms to seconds.\nAnswer: 5.345605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58813.61l in millilitres?\nAnswer: 58813610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -775 - -1548. Let w = -773 + v. Put 0.3, w, -66 in decreasing order.\nAnswer: 0.3, w, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 3*c + 7. Let q be i(5). Suppose -2*s = -6*s + q. Let f = -13 + s. Calculate the highest common divisor of 110 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*h = -a - 300*h - 9, -6*a + 5*h - 49 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 202*r + 128 - 75)*(2 - 3 - 1) as x*r + n and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**3\/3 + 9. Let r(b) = 4*b**2 + 3*b + 3. Let f(y) = -9*y**2 - 7*y - 7. Let p(c) = 3*f(c) + 7*r(c). Determine u(p(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqedqeqdqded. What is prob of sequence eeqd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434145?\nAnswer: 3, 5, 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-33)*a**(28\/9)\/a*((a\/((a*a*(a\/((a\/(a\/(a*a**41*a)))\/a))\/a)\/a))\/a)**(30\/13) assuming a is positive.\nAnswer: a**(7456\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 11) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 1, v: 2, s: 1, e: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -81. Calculate the highest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0748 and -0.08?\nAnswer: -0.005984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -267, 2\/17, -0.2, -3 in decreasing order.\nAnswer: 2\/17, -0.2, -3, -9, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55641 is divided by 318.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 0 + 27 + -101. What are the prime factors of ((-724)\/(-10))\/(9 + 712\/j)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Solve 3*f - 9 = -b, -r*b + 3*f + 3 = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.531152 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 15*m + 11*m - 42*m + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4332611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + (3 - (-8 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 15) in base 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, e: 6, v: 1, l: 2, m: 3, h: 2}. Give prob of sequence hmll.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -44.6. Let o = p - 2.4. Let g = o + 12.9999975. Round g to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3\/17 - 14*g**2\/17 + 40*g\/17 + 50\/17 = 0.\nAnswer: -5, -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrambbadmbddapbmbrb. Give prob of picking 2 d and 1 a.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 5*s**3 + 4*s**3 + s + 2. Let x be p(-2). Solve -5*u = -14 + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 53*f\/5 - 102\/5.\nAnswer: -(f + 2)*(f + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 24*c + 5. Let n(v) = 25*v + 6. Let g(t) = -3*n(t) + 4*z(t). Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*l**2 - 7*l + 26*l + 3*l**3 - 9*l - 11*l as u*l**3 + t*l + q*l**2 + h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oanos. What is prob of sequence nos?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhyh when four letters picked without replacement from yhhy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21336266 = 35*j - 102*j + 1297607. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-418)\/24 - (-2)\/3 and (-38)\/10*-6*5\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w + 4*t, -3*t = -0*w + w + 4. Find the third derivative of w*y**5 - y**3 - 9*y**2 + 7*y**2 + y**3 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g - 65*g + 8 = -2*x, -4*x - 52 = -16*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -586851*k**3*x - 129*k**3 + 6*k*x - 1183969*k + 7*x wrt k.\nAnswer: -3521106*k*x - 774*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/7 - 38*m**4\/7 - 228*m**3\/7 - 64*m**2 - 256*m\/7 = 0. Calculate m.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/12 - 6)*0. Let f(a) = 2*a + 41. Let q be f(-19). Solve n*l = -q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*p - 4*u + 15, 0 = -p - 5*u + 1. Let o be (-150)\/p + 38\/133. Calculate the highest common factor of 176 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let y(c) = -c**2. Let d(z) = -2*z**3 - 6*z**2. Suppose -3*g = 0, -6*p + 3*g - 200 = -p. Let l be 4\/14 - p\/7. Calculate l*y(a) + v*d(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -66.\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 58322 - 46110 = -6*w. What is the greatest common factor of w and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-1*21) - (-339584)\/98?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d - 9. Let y be m(-9). Suppose -6*g + 2*g + 88 = y. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -1. Let f be (4*2\/(-4))\/v. Sort 5, f, -2, 1.\nAnswer: -2, 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:14 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhhhwwhhhh. Give prob of picking 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/152 and -69\/35.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122102123 + 0?\nAnswer: 122102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 5. Let j be b(-3). Let k(c) = -c**2 - 7*c - 3. What is k(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -42?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 117 - 37 - 35 - 36.\nAnswer: -m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10666, 10607, 10552, 10501?\n\"Answer: 2*v**2 - 65*v + 10729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - -732. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21*o + 246. Determine q(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 611967*b*v + 19887237*b + 21*v wrt v.\nAnswer: 611967*b + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*y = 86*y - 101*y + 1368 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 10 - 19)*(140 - 140 - 33*u)*(-5 + 3 + 1)*(-u**2 + 0*u**2 + 3*u**2).\nAnswer: -1518*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*y + 143, 4*v - 25 + 69 = y. Calculate the highest common divisor of 32 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 9\/4*q**2 + 4*q + 0 + 2*q**3 + 2\/3*q**4. Factor c(i).\nAnswer: (4*i + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 5*b - 3. Let k(i) = -i**2 - 5*i - 3. Let w(q) = -3*k(q) + 2*y(q). Suppose 4*l = -g - 15, -4*g - 5*l - 91 = -86. Determine w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/15 - (-60)\/(-50). Let j(p) = -2*p**2 - p + 6. Let w(r) = r**3 + r**2 - 1. Determine q*j(k) - 2*w(k).\nAnswer: -2*k**3 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 18 - 28 + 33*d**3.\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 42.\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)\/f)**26)**(-1\/16) assuming f is positive.\nAnswer: f**(65\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.90133 - -0.09867. Which is the fourth biggest value? (a) -3 (b) -2\/15 (c) 0.3 (d) h (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 56 - 8*f + 10*f - 56. Let y be r(0). Suppose y*j - 2\/7 + 2\/7*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + -28. Is -137 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*f = 24326, 0 = -f - 0 - 3. Let n = i + -2505. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120.3 and -6683162.\nAnswer: -6683041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 30\/(-18))*(-93)\/(-310). What is the nearest to 1 in -2\/17, 14, f?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-1827)\/14)\/29?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-103)\/309)\/(1\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/42*(-22)\/(-6) and 121\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 750146.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {u: 1, x: 9, y: 3, o: 2, w: 1, v: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/9 - 793292*i**2\/9 + 7139482*i\/9 - 6346192\/9 = 0. What is i?\nAnswer: 1, 8, 396637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 - ((-52)\/16 + 4\/16). Let h be (-1 + 15)*m\/14. Solve -5*q = -0*q + h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjw when three letters picked without replacement from wjlarjwqqqj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 8*k + 3810. Is (k - 2)*6\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94, -27, -316, -845, -1686?\n\"Answer: -12*r**3 - 12*r**2 - r + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/5, -3, -761, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let c(s) = 2*s**2 - 18*s + 8. Give -c(u) - 5*o(u).\nAnswer: -2*u**2 + 8*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h - 2. Calculate the remainder when ((-44)\/(-7))\/(4\/14) is divided by p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*v + 24 = 989*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 428*d**5 - 47*d**3 + 343*d**2 + 277*d - 2 wrt d?\nAnswer: 25680*d**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (585\/210*(-525)\/(-675))\/((-2)\/12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97301509, 1, 3 in ascending order.\nAnswer: -97301509, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Suppose -2 = q*b + 10. Sort -4, -2, b in descending order.\nAnswer: -2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -580 + 577. Put -2, j, 0, -5 in decreasing order.\nAnswer: 0, -2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 7. Suppose 3*k = 9, -9 = -4*c - 33*k + 30*k. Solve -d - d - f = c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9972, 2\/13, 10.6, 2\/37?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/10 - y**4\/4 + 5*y**2. What is the second derivative of i(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2514*n - 51. Let b be g(4). Let t = -1250 - b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.91299 + 68?\nAnswer: 256.91299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057, 1819, 3091, 4873?\nAnswer: 7165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/5 + 35*q**2\/2 - 37*q. Let m(n) be the first derivative of k(n). Let v(l) = -2*l. Determine v(m(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*g - 128 = 0, 4 = h - 2*g - 58. Suppose r = h - 26. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + -1)) + 4 + sqrt(78)\/((2*sqrt(24))\/sqrt(4)).\nAnswer: sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/3 - 43*u**4 + 1519*u**3 + 54745*u**2\/3 + 48100*u = 0.\nAnswer: -156, -5, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 348*y**2 - 1 - 172*y**2 + 2 - 172*y**2 - 2.\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l - 12. Let n(r) = -5*r - 8. Let s(v) = -8*n(v) + 5*x(v). Let k(q) = 4*q + 3. What is 3*k(w) - 2*s(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q - 9 = -t, t + 9 = 4*q. Sort -0.1, q, 3.\nAnswer: -0.1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8110565920?\nAnswer: 2, 5, 547, 92671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1500341376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-117)\/(-4) + (93\/12 - 8) is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02380624 (b) 1\/2 (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (16 + -46 - 14) + 20 - (12 + -2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t. Let h(z) = -5*z - 3. Let f be h(0). Let w(c) = 3. Let y(q) = q**2 + 8. Let j(v) = f*y(v) + 8*w(v). Determine j(l(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -57, 26, 2\/7, -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caacaaaaaaaacaa. Give prob of picking 2 c and 1 a.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25 + (20\/(-175) - 0)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 - 1296*r - 209952 = 0.\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**3 - 21020726*i**2 - 562500587*i.\nAnswer: -30*i - 42041452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:09 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 16*v**2 - 12*v + 10. Let j = 24 + -9. Let s be o(j). Let h = 84 - s. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 7*x**2 - 6*x + 13. Let y be f(-8). Sort -2, 1, y in increasing order.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 - 18769 + 9769 + 16*t**2 + 9000 + 34*t**3.\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6837 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 11\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 259, 250, 237, 220, 199, 174?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174, 250, 294, 306, 286, 234, 150?\n\"Answer: -16*f**2 + 124*f + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/31660 and -53\/12916.\nAnswer: 102230140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*y - 16 = 47, -c - y = -19. Suppose 2*b - c = -4*l + 6*b, 6 = l - 3*b. Let k be (-182999)\/l - 9\/27. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - -0.02. Let p = -0.334 - x. Let h = p + 0.079. Round h to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -b - 1, 5*b - 10 = 5*s. Let y = b - -2. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide (0 - 20 - -3)*-122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -114. Put 0, l, -7 in descending order.\nAnswer: l, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -242047?\nAnswer: -242044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.8, -0.6.\nAnswer: -0.6, 0.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612033*y + 306053*y + 306044*y.\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(810)*5))\/((sqrt(8) - (sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8)))*6).\nAnswer: -sqrt(13)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235071601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*325\/(-845)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4 - 21)*(-7 + r + 7)*(3 - 6 + 1).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:48 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqxqxaxxwa. Give prob of sequence qw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-68)\/(-153))\/((-4)\/(-3)). What is the smallest value in -0.06, 2\/7, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (3 + -4)*2. Suppose k = -3*t + 5*q + 473, -3*t + 0*q - 4*q + 518 = 0. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452515919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/180 + 11*v**4\/72 + 5*v**3\/9 + 4*v**2 + 8*v. Factor w(j).\nAnswer: (j + 1)*(j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*t + 50, -i + 3*t = 5*t - 19. Calculate the remainder when 42 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 499 + -231. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71560 and 17890?\nAnswer: 71560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -755*s**2 + 1079*s**4 + 143*s + 765*s**3 - 148*s - 300*s - 324*s**4 - 5*s**5 - 455*s = 0.\nAnswer: -1, 0, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28167 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143.11 - -143. Which is the nearest to -2\/5? (a) s (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -8, 2, 10.4, -48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*f**2*i**3*w**2 + 40*f**2*i**2*w**3 + 5*f*i**3*w**3 + f*i*w**3 - 4*i**2*w wrt i.\nAnswer: -936*f**2*w**2 + 30*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Let t(x) = -2*x - 4. Let d be t(p). Let o(s) = -s**3 - 11*s**2 - 11*s - 6. What are the prime factors of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/17 - 656*l**2\/17 - 9642*l\/17 + 740376\/17 = 0.\nAnswer: -39, 28, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-2)\/4)*-1*6. Suppose -26 = t*d - 2. Let k(u) = 7*u - 4. Let f(a) = -11*a + 6. What is d*k(y) - 5*f(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -141? (a) -0.3 (b) -1 (c) 2\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 + u**2 - u + 11 + 2*u. Suppose 5*s + 0 + 0 = 0. Is r(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**3 - 2*z - 1 + 2 - 3 + 3 in the form s*z**3 + q + y*z + k*z**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1204665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.103 - 0.697. Let b = -0.3 - g. Let s be (-69)\/(-168) + (-4)\/14. What is the nearest to 2\/7 in b, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 - -1*(-8)\/2. Let x be (-2 + 0)*1 + z. Let i(h) = -h**2 + 24*h. Let t be i(x). Calculate the greatest common factor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2616\/3488*(-8)\/3. Let x(b) = 3*b**2 + b - 1. Let s(d) = 1 - 3*d + 5*d**2 + 0 + 2*d - 6*d**2. What is h*x(m) - 4*s(m)?\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -42. Let z = d + 5. Suppose -15*u + 17*u = z. Solve 2*f = 3 + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 13)*772\/6176?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -93*t + 2945. Let i be w(31). What is the nearest to 2\/9 in 0.1, 6, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4513 - 3068. What is the remainder when s is divided by 132?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338 + 345 - 3*o**2 - 24*o + 10*o**2 - 6*o**2 to w + p*o**2 + h*o and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 346 - 343 + 1043 - 8*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 14. Give r(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -17) + (3 - (1 + 10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -661, -1634, -2991, -4732, -6857?\nAnswer: -9366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 444384?\nAnswer: -444389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1)\/(-3) + 62\/93. Let y(q) = 2079*q - 2079*q - 1 + q**2. Let t(x) = -2*x**3 - x**2 + 3*x + 3. What is z*t(l) - y(l)?\nAnswer: 2*l**3 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1038 and 44125034.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 15) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z - 110*z - 3*w = 13430, -5*z + 33550 = 5*w. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - 5*x**4 + 2*x**4)*(-1 + 4 - 2)*(-4*x - 1 + 1).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 12}. Give prob of sequence fgf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**5\/300 + 11*r**4\/60 + 91*r**2 - 176. Let g(v) be the second derivative of f(v). Solve g(i) = 0 for i.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/12 + 13*h**3\/3 - 91*h**2\/2 + 162. Let s(c) be the second derivative of v(c). Let k(n) = 5*n**2. Calculate k(s(j)).\nAnswer: 20*j**2 + 520*j + 3380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 75 - (1 + 3 + -10 + (-127 - -135))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = 2*a - 14, 3*w + 12 = 0. Let v(c) = -4*c - a + 4 + 7*c. Let m be v(1). Solve m*j + 10 + 2 = 2*x, -3 = 5*j + 4*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 4*v - 150 = 0, -3*v - 120 = -4*r. Calculate the highest common divisor of 180 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139449111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -165*j**9\/56 + 1549*j**5\/60 - 7*j**2 - 12. Find the third derivative of r(v) wrt v.\nAnswer: -178200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -28*o - 19. Let f(i) = -57*i - 31. Let y(q) = 5*b(q) - 3*f(q). Let t(d) = 29*d. Give t(y(m)).\nAnswer: 899*m - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) + 0))**2 + sqrt(143)\/(sqrt(44)\/sqrt(4)*5).\nAnswer: sqrt(13)\/5 + 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 218690.\nAnswer: -1\/109345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 6*l**2 - 5*l + 3. Let j(d) = 4*d**3 - 6*d**2 - 4*d + 4. Let p(x) = 6*j(x) - 5*o(x). Let r be p(-6). Sort -3, r, -2.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 4\/9 (c) 179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111263.\nAnswer: 111263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 - -166.9. Which is the nearest to -2\/3? (a) m (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 4812*r**2 - 57345*r - 52536.\nAnswer: -3*(r + 1)*(r + 11)*(r + 1592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 + q**5\/15 - 2*q**3\/3 + q**2. Let o(a) = a**3 - 3*a**2 + 3. Suppose -9 = -7*f + 10*f. Give f*c(r) - 4*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 + 236*w**2 - 124*w**2.\nAnswer: 112*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4675, 36796, 124005, 293848, 573871, 991620, 1574641, 2350480?\nAnswer: 3346683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10026 - 19967 - 36875 + 7943 + 1337 - 12602)*(0*t**4 - t**4 - t**4).\nAnswer: 140380*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.574 - -346.874. Round d to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/15)\/2)\/(21\/70).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 59. Let t(f) = -2*f + 9. Let q be t(7). Let n = -0.4 - -4.4. Which is the smallest value? (a) d (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 44 = 124. Calculate the lowest common multiple of 22 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 25*f**2 - 114*f. Calculate b(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 78016 = 2*a + 4*k, -2*k = 3*a - 234008. What is a rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -681102*p**3 - 1417*p - 579 wrt p?\nAnswer: -4086612*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -9*w + 126. Suppose w*r - 1371 - 5739 = 0. Let k = r + -553. List the prime factors of k.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34921*b + 35564*b = 38580 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -343, 3, 2\/71, -2\/3, -0.2, 3\/7 in increasing order.\nAnswer: -343, -2\/3, -0.2, 2\/71, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215546663?\nAnswer: 7, 459363809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 + 37 = 0. Let l(p) = p**3 - 8*p**2 - 17*p + 72. Let h be l(x). Solve -6*f + 12 + 18 = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 265. Determine g(-88).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**2*q*w**3 + k**2*q + 3*k**2*w**3 - 6*k*q*w**3 + 2*k*q*w**2 + 2*k*w**2 - 8 wrt w?\nAnswer: -30*k**2*q + 18*k**2 - 36*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 19. Let l = -21 + 15. Let o = g + l. Solve o*w = -4 - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 4. Let n(f) = 3 + 1 - 4 - 3*f + 1. Let m(t) = 9*n(t) + 2*z(t). Differentiate m(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssns when four letters picked without replacement from {s: 6, n: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let n(l) be the third derivative of -l**7\/630 - l**5\/5 - 2*l**2. Let h(o) be the third derivative of n(o). Determine h(z(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, 787, -78 in decreasing order.\nAnswer: 787, 2, 0, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*r**5*u**3 + 2*r**2*u**3 - 3*r*u**2 + 10*u**3 - 1 wrt r?\nAnswer: -4100*r**3*u**3 + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143045 = -85*a + 763375. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221969 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let v = 7 - 3. Let c(o) = 2*o**2 + 4*o - 4. Let y(n) = v*i(n) - c(n). Let q(d) be the first derivative of -3*d**2\/2 + 500. Give q(y(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -235125?\nAnswer: -235202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 385810505.99999969 + -385810510. Let q = 4 + p. What is q rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 12. What is the second derivative of -3*i + 2*i**k - 4*i**3 - i**3 + 2*i wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 10423334?\nAnswer: -10423332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 - 4. Let p be k(4). Let j = p - 26. Suppose -u + 3*w - 2 = -0, -3*u + j = -3*w. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + -3. Let a be (75\/20)\/((-6)\/s). Solve -a = o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:31 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 + -25. Let g = -7.5 - j. Which is the third biggest value? (a) -0.4 (b) -1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, 0.1, -16.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Let a(f) = -f**3 + 4*f**2 + 6*f - 5. Let w be a(5). What is the remainder when 9 is divided by 5\/y*3 + w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*n**5 - 11867*n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35833 is divided by 8903.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707351.3ng to grams.\nAnswer: 0.0007073513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953624 divided by 5?\nAnswer: -2953624\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-1771)*46*(10\/(-240))\/(14\/4)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/z**(4\/13)*(z\/(z\/(z*z**(-2\/63)\/z)))**48 assuming z is positive.\nAnswer: z**(-1318\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289.9435 + 0.0565. Let g = 290.0966 - p. Round g to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*j - 3, -4*j = 197*b - 195*b - 44. Let f(m) = 6*m + 1. Let y(t) = 11*t + 2. What is j*f(s) - 4*y(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3505830 divided by 350583\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 17*g**2 + 16*g - 127. Let t be o(-15). Put 4, t, 3 in increasing order.\nAnswer: 3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/14 + 4*b**3\/3 + 16*b**2\/7 - 192*b\/7 - 6895. Factor r(s).\nAnswer: 2*(s - 2)*(s + 4)*(s + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.1659 to 1 decimal place.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.8874, 0.3 in increasing order.\nAnswer: -13, -0.8874, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30902*a**3*k - 10*a**3 - 21*a + 9 with respect to k.\nAnswer: -30902*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 21101221101?\nAnswer: 21101221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n + 165 = 4*i, -2*n = 4*i - 162. Suppose 0 = 4*w - 0*w - i. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 21*p**3 - 117*p**2\/2.\nAnswer: -p**2*(p - 39)*(p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*f - 2*f**2 - f - f**4 + 5*f in the form i*f + k*f**3 + m*f**4 + j*f**2 + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 + 317. Suppose -61 = 4*i - f, -5*i - f - 41 = 24. Does q = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258460171 at most 258460173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*c = 60 - 28 - 38, s + 0*c = 8*c + 37 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39974 + -0.02.\nAnswer: -39974.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n + 22*n - 9 + 6 + 7.\nAnswer: 54*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 29*p**2 - 520*p - 63. Give t(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 6 = 22*w. Suppose 4 = h + w*h. Let d = 4 + h. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/(-21))\/(129\/14 + -9). Solve p = -17*v + 108 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 3004665?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 574324221 and 15.\nAnswer: 2871621105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -1\/4*x**2 - 1\/2*x**3 + 59 + 0*x. Factor m(j).\nAnswer: -j*(3*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14271 in 2\/3, 1.11, 5, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 7. Let j be g(-9). Let l(a) = 2*a**2 + 3*a + 5*a - 3*a**j - 2 - 2*a. Let q be l(5). Solve -15 - 1 = 2*i + q*u, -5 = -i + 5*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55195.51t?\nAnswer: 55195510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1331.4 + 1331. Which is the smallest value? (a) -5 (b) -0.2 (c) 1 (d) 9 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18162210 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 20 = -4*q. Let j = 9 - q. Suppose 9 = 5*f + j. Calculate the greatest common factor of 4 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24817300 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 + 2 + -53)*(0 - 3\/(-84))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1840, -9\/4, -56, -4 in decreasing order.\nAnswer: -9\/4, -4, -56, -1840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014148032 to four dps.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 139.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2. Let j(s) be the third derivative of -7\/12*s**4 - 3*s**2 - s + 0 + 0*s**3. Calculate u(j(p)).\nAnswer: -980*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/2 - 233*o**2\/2 + 359*o + 1180 = 0.\nAnswer: -236, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (14 - (10 - 6))) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:23 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 + 21173334?\nAnswer: 21173410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15040 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1154*d**4*w - 435*d**3 - 3916806*w wrt d.\nAnswer: -4616*d**3*w - 1305*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 0, -2 = -2*x - 5*b - 17. Suppose 117 = x*p - 113. Let z = p - 34. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000000 - -100011011010?\nAnswer: 10101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bigc when four letters picked without replacement from {i: 1, b: 1, c: 2, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(3*z - z - 3*z) - z + 9*z + 0*z - 2*z + 0*z + 0*z as m + p*z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - 212\/(-140). Is 2 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 10*w + 25*w + 11*w. Let v(q) = -5*q. Determine k(v(b)).\nAnswer: -145*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 2*o + 282, 43*o - 28*o - 34 + 202 = 4*v - 25*o for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*g**5 - 45*g**5 + 21*g**5 + (-3*g**4 + 7*g**4 - g**4)*(-g + 4*g - 2*g).\nAnswer: -59*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37801723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 3, m: 2, g: 5, e: 6}. What is prob of picking 4 g?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jff when three letters picked without replacement from {j: 1, z: 2, f: 10, l: 3}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 24*j**2 + 3*j - 4. Let k(a) = 96*a**2 + 13*a - 17. Calculate 2*k(f) - 9*q(f).\nAnswer: -24*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1101 or -0.0307?\nAnswer: -1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 11 (c) 2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 - 230. Suppose 4*n = 21*v - 18*v + 1845, -2*n + b*v = -924. What is the remainder when n is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222004.5 minutes to nanoseconds.\nAnswer: 13320270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 449411 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 26. Let i be l(-5). What is the greatest common factor of 84 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16656*a - 21944*a + 454768 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {f: 3, r: 4, c: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 0.69999978. Round d to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-8 + 3 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-14))**40*(k\/k**(-1\/9))**(-47))**3 assuming k is positive.\nAnswer: k**(-5150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**2 + 7*z + 5. List the prime factors of r(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9611*g*q**3 - 2*g*q**2 + 8*g*q - 2*q**3 - 74*q**2 - 5*q wrt q?\nAnswer: -57666*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at most 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -11\/2*j**2 - 1\/12*j**5 - 5\/24*j**4 + 0*j**3 + 1 + 0*j. Let w(y) be the second derivative of g(y). Find q such that w(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + sqrt(112) + sqrt(112) + 1 + -5)*4*5)**2*2.\nAnswer: -76800*sqrt(7) + 819200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 4 - (43 - 13)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0807 - -0.1127. Let j = 3.032 - s. Let o = -71\/12 + 17\/3. What is the nearest to -7 in o, -1\/6, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/((-36)\/16) + 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 3, -4 in increasing order.\nAnswer: -7, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 733 + -738. Put -1, j, -34 in increasing order.\nAnswer: -34, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6168126.\nAnswer: -6168126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 6\/(-3)) + 4. Suppose a + y + 3 = 0, -a = 4*a - 2*y - g. Suppose -3*c - 40 + 100 = a. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -3827, -0.0629?\nAnswer: -0.0629","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571.541kg in nanograms?\nAnswer: 4571541000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24170.\nAnswer: 2, 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125358.\nAnswer: 2, 13, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/165*18909 + (-2)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 21. Let n be f(18). Which is the closest to 1\/3? (a) 2 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 212 = 184. Let c(h) = 10*h**2 - 2. Let l be c(-3). Suppose 0*t + 4*t - l = 0. Calculate the highest common divisor of i and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuuxnnexnknnunxnnuuk. What is prob of sequence exkx?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 56985 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/2 - 1997517*k + 3995032 = 0.\nAnswer: 2, 3995032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 695, -2 in decreasing order.\nAnswer: 695, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from jmmmjm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k, -2*w - 24 = -4*k + 2*k. Let f be -1*2\/w - (-20)\/(-70). What is the second derivative of -7*z - 2*z + f*z + 107*z**5 - 91*z**5 wrt z?\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 76*a + 538 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(128) + 0 + sqrt(2)*2.\nAnswer: 5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 7}. What is prob of sequence vr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908978.\nAnswer: 2, 3, 37, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 - 2*h**3 + 2*h**2)*(-8 - 2 + 12 - 5*h) to s*h + m*h**3 + t*h**4 + k + x*h**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -82778.\nAnswer: -41389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -269987\/107190 - -1\/3970. What is the common denominator of q and 2\/(24\/(-23)) + 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8524 take away -0.12?\nAnswer: 0.9724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -29532, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -11 - 26 - (5 - 12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*t - 22*t - 11*t)*(-t + 7*t - 3*t)*(-5*t**2 + 4*t**2 + 4*t**2).\nAnswer: -531*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(500)*2*4 + 4 + -4*(sqrt(500) + (sqrt(500)*1 - sqrt(500)) + 0 - sqrt(500)))*-3)**2*-4.\nAnswer: -28814400 - 576000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.01776 litres to millilitres.\nAnswer: 9017.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 + s - 1. Let h be (0 - 1)*(-2 - -1). Let l be u(h). Find the third derivative of d**4 - d**2 + d**l - 3*d**4 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 23\/4. Let o = 532 + -537. Let p = -27\/11 + 43\/22. What is the biggest value in -0.2, p, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 (base 10) in base 11?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 184223 = 48*w. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 34. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.134 + -62. Let w = f + 0.03. What is w rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-16))))\/(l\/((l\/l**(2\/5))\/l*l*l)))\/(l*(l*l\/l**1)\/l)**33 assuming l is positive.\nAnswer: l**(-237\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6004900.\nAnswer: 2, 5, 11, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 10)*(2 + 0). Suppose 5*d - 3 = -8. Let t be (-66)\/z + d\/(-2). Let x(y) = -4*y**3 + 5. Let p(f) = 3*f**3 - 4. Calculate t*p(w) - 4*x(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h + 13*h - 6*h to l*h + f and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11035\/6 + -1837. Suppose 0 = 4*n - 2 - 10. Suppose 6 = -o + n*o. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7*u - 3. Give w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 2*k - 5*k. Let x(d) be the first derivative of 2*d**3\/3 - 10. Determine x(j(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14)\/(-4)*(-36)\/(-42) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(((-28)\/(-35))\/(176\/55))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 20*u**3 + 47 - 4*u - 18*u**3)*(-4*u + 4*u + 3*u) as s*u**4 + p*u**3 + c*u**2 + x + v*u and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 27*q**5\/4 - 117*q**4 - 129477*q**3\/2 + 805509*q**2 - 11369073*q\/4 + 2101608 = 0.\nAnswer: -96, 1, 17\/3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 58, -9, -4 in decreasing order.\nAnswer: 58, 0, -4, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(110) + (-4*sqrt(110) - sqrt(110)))\/sqrt(11)))**2 + -2.\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/2 + 1496\/(-648)*3. Sort 0.08, 1\/4, z, 0.3 in decreasing order.\nAnswer: 0.3, 1\/4, 0.08, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128*y - 1577 = -5833 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 0.8.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -148*s + 2080 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, r: 5, g: 3}. Give prob of picking 3 r and 1 b.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 189.5. Let x = 7 + -13. What is the closest to -2\/7 in -1, x, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -24*o + 255 - 120. Solve 0 = b + 5*i - 20, i = o*b - 13 + 17 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -106d86?\nAnswer: -106d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*(0 - (-1)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*x - 1800 - 1941 + 4702 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**5 - 2008*w**4 - 32140*w**3 - 141744*w**2 - 111600*w = 0. Calculate w.\nAnswer: -150, -31\/3, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 469*k**4\/6 - 1132*k**3\/3 - 2304*k. What is the second derivative of o(d) wrt d?\nAnswer: 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8)*t**(-2\/11)*t*(t**1)**38)\/(((t\/(t*t**(-1)*t*t*t))\/t**(1\/8))\/(((t*t**5)\/t)\/t*t*t**(-2\/9))) assuming t is positive.\nAnswer: t**(18155\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvv when three letters picked without replacement from hvhtttvvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2776763 and 46\/3136177.\nAnswer: 1502228783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 306 = 4*j. Let y(a) = 8*a - 142. Let b be y(j). Solve -10 = -b*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 57*t + 5*t**2 - 57*t + 4. Suppose -7*h + 5*h = 2. Let r(z) = 44*z**2 + 1 - 45*z**2 - 2. Determine h*s(m) - 4*r(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {u: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3127469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = q - 19, -q - 39 = -4*z - 103. Let h(l) = 432*l + 420. Let x be h(z). What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.319 + -0.0663\nAnswer: -5.3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 - -213. Let d(p) be the first derivative of -p**4 + 0*p + 7 - 1\/3*p**3 + w*p**2. What is the third derivative of d(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*a + 566*a - 85087 = -25103. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -92*l - 555. What is the hundreds digit of p(-137)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 8. Let q be (2\/b)\/((-2)\/24). Let z = q + 19. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 85540?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16275, -16384, -16493, -16602?\n\"Answer: -109*k - 16166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9307*v**5 - 1153*v**2 + 44283344*v wrt v.\nAnswer: -186140*v**3 - 2306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 7 = 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7 + 2. Suppose -2*q = -c*q + 16. Let a be 7\/(-4) + 2 + 339199996\/q. Round a to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 554 - -753. Find p, given that 6*p**2 + p**3 + 1307 + 10*p**3 - p**5 + 4*p**4 - s = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 (base 10) to base 5\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5739680*w**4 + 122375*w**2 + 10*w wrt w?\nAnswer: 137752320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/50 + 1\/25. Let y = 0.1 + -0.2. What is the nearest to y in -0.1, 3\/2, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 32*d + 2. Let a(l) = 21*l + 1. Determine 8*a(b) - 5*f(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 534614?\nAnswer: 534624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 1185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -171*v + 253. Give k(3).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvs when three letters picked without replacement from vvovvnvovvvvvvusv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -101. Let g = -34 - z. Let u(y) = -8*y**3 - 2*y**2 + 2*y - 7. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/11 - 41240*b**3\/11 + 213865114*b**2\/11 - 1191500564*b + 25357881840\/11 = 0. Calculate b.\nAnswer: 2, 60, 10279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at most as big as 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73544941 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -45. Suppose 2*z = -3*q + 62, q - 3*z + 63 = p*q. Calculate the remainder when 79 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = -67*f + 404. Let q(k) = 51*k. Let s(g) = -663*g. Determine f*s(a) + 51*q(a).\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1522, 4159, 6796, 9433, 12070, 14707?\n\"Answer: 2637*m - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-64) - 118\/8. Is -147\/10 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123*0.061\nAnswer: -7.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001594958113 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*45\/(-36)*(-746)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(26) - sqrt(26))\/sqrt(2)*2 + sqrt(1872)*-6)**2.\nAnswer: 60112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*-2 + (-45)\/(-84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61\/22? (a) -5 (b) -14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85068 by -14178.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 9. Let i = -6 + 0. Let s be y(i). What is the units digit of (s\/(-2))\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**3 - 156*o**2 - 73*o + 14. Give s(-19).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-4)*112\/(-5 - 2). Let m be v\/42*15\/2. Let x(g) = g**2 - 14*g + 7. What is x(m)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 2, u: 8, j: 3, q: 1, s: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((2 + -3 - 0) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15291?\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -0.6 (c) 3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 74970.18 years?\nAnswer: 74.97018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**3 - 4*l**3 + 10*l**2 + 3 + 11*l. Let i be p(11). What is the highest common divisor of 27 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, 0.4, -4, -17, -2124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 768.6 from -2456766622.\nAnswer: -2456767390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23 - 32) + (0 - (-1 - -1)). Let u be 66\/48 - s\/(-6). What is the smallest value in 13, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 2460160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, b: 10, r: 1, i: 2}. Give prob of picking 2 i and 2 b.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.7, -5, 1325, -4, -0.1, -3\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.86 + 3.56. What is the nearest to 0.8 in l, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, q: 2, v: 1, w: 1, i: 2}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*l = -152, 164 = -4*y + 9*y + l. Suppose 5*z - 2 - 38 = -4*j, -3*z - 4*j + y = 0. Solve z*s - d - 20 = 4*d, -4*d - 16 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26613540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*t**2 + 20*f**2*t - 4140*f*t**2 + 3*t**2 - 5959*t wrt t.\nAnswer: -4*f**2 - 8280*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < 0.1544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d7 - -8?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j - 2*x, 3*x = 3*j + 8 - 26. Suppose 0 = j*r - r. Suppose r*b + 42 = 3*b. What is the highest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2, -1, 15\/43, 0, -12\/7 in ascending order.\nAnswer: -2, -12\/7, -1, 0, 0.11, 15\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/40*4\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955387 is divided by 29849?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.4 + 149. Let s = -75 + p. Let n = s - -10.6. Round n to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*g**2 + 512*g**2 - 3 + 13*g**3 + 3.\nAnswer: 13*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15229999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365720*r + 271892*r + 15891*r + 43160*r.\nAnswer: 696663*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-3))\/((-6)\/64). What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 12349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-15)*3*25\/850.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*2\/27)\/((-7)\/63). Let i be 189\/x*(-8 - (-196)\/21). What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -9. Let l(h) = 2*h**3 - 13*h**2 + 15*h + 9. Let r(s) = 6*s**2 - s**3 - 4 - 69*s + 126*s - 64*s. Calculate v*l(k) - 13*r(k).\nAnswer: k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 3*a = 9*t - 24, -2*t - 4*a - 20 = 0. Let d be (9108\/(-121))\/t - 2\/11. Solve g + 5 = 4, 0 = d*y - 3*g + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1165, -3, 8 in decreasing order.\nAnswer: 8, 2, -3, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f - 24. Determine l(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 15*q**2 - 48*q - 7. What is j(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m - 10*m + 3*m - 3*m - 13*m - 13*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2. Let j(z) be the third derivative of -19*z**5\/60 - 15*z**2. Calculate n(j(d)).\nAnswer: 722*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25553637?\nAnswer: 3, 35053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -1 (c) 4.12 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-2519.\nAnswer: -579.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(180)\/(sqrt(9)*-3))\/(sqrt(400)*-1 + sqrt(4) + sqrt(4))))**2.\nAnswer: -3*sqrt(5) + 9221\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3 + (-670)\/225). What are the prime factors of 6\/x + 1586\/30?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*p**6 - 7*p**5 + p**2 + 24*p wrt p?\nAnswer: -2400*p**3 - 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 22*u**2 - 49*u + 44. Determine b(-19).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 4. Solve 5*q = 2*k - 0*k, -4*q = c*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.779094 to 3 decimal places.\nAnswer: -0.779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/4 + 11*g**3\/3 - 7*g**2 - 6*g + 1. Let m be n(-6). Suppose -i - m = -4*i. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -730, -1470, 3 in decreasing order.\nAnswer: 3, 1, -730, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let t be w(-3). Suppose -442 = -0*s - 5*s - t*v, 0 = 4*v + 8. Calculate the highest common factor of s and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.154*-5.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.227 - 0.697. Is x at most as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1439157, -2878277, -4317361, -5756409, -7195421, -8634397?\n\"Answer: 18*h**2 - 1439174*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6841157.\nAnswer: 17, 103, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14763, 14765, 14767, 14769, 14771, 14773?\nAnswer: 14775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -18, -32, -42?\n\"Answer: 2*q**2 - 24*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 2 a when four letters picked without replacement from eajruguurreueeauuej.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 1?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, 10\/9, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 1\/4 (b) -1\/7 (c) 5 (d) 2\/13 (e) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-2)\/24)\/((-8)\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -34*l + 1637. Let b be g(45). Calculate the highest common factor of b and 24931.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26197539, -26197528, -26197503, -26197458, -26197387, -26197284, -26197143?\n\"Answer: j**3 + j**2 + j - 26197542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3184 + 5319. Suppose -5*z + v = 5*r, 4*z - r - 1707 = -4*r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369300 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 27. Let v be n(11). Let k be (v*1)\/(-2 + (-2)\/(-6)). Let j = -154\/15 + k. Is 46 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 s when three letters picked without replacement from {j: 1, s: 18}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -33\/4*g**4 + 75\/2*g + 0 - 99\/4*g**3 - 15\/4*g**2 - 3\/4*g**5 = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.238474 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*r**3 + 190*r**3 - 2218 + 2209 + r**4 in the form i*r**3 + g*r + l*r**2 + y + b*r**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*l = 13956 + 9354. Which is the closest to l? (a) 0 (b) -0.3 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 3*h**2 - 11*h - 3. Let m be d(-5). Let z(t) = -m*t**2 - t**2 + 6*t**2 - t**2. Let b(v) = -4*v**2. What is z(b(s))?\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 + 4*p**4 + 8*p**4 - 11*p - 2 + 15*p - 1 in the form a*p + d + h*p**2 + s*p**3 + b*p**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/41, -5, -4, -92, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*-2*sqrt(28) - (-6*sqrt(84)*-2)\/(sqrt(1452)*1))**2 + -1.\nAnswer: 809079\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.889929 to 2 decimal places.\nAnswer: -106.89","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + y**4 + 2 - 2*y**2 - 1 + 2*y**3 to n*y + i*y**3 + j*y**4 + q*y**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:20 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, t: 5, s: 2}. Give prob of picking 1 a and 1 s.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from {x: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7\/z**(-4)*z\/(((z*z\/(z**(1\/3)*z))\/z*z)\/z*z)*z*z\/z**(-6) assuming z is positive.\nAnswer: z**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = 2*z + 3*i, 5*z = -i + 12. Let q(n) = z + 1 - 9*n - 2 + 31*n. Does 18 divide q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3012, -10890, -23638, -41256, -63744, -91102, -123330?\n\"Answer: -2435*d**2 - 573*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 12368*c = 12372*c + 6, -c = 3*h + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*z**4 + 2*z**4 - 2*z**4 - z**4 - 4*z**4 + 3*z**4 + (0*z**3 - z**3 + 3*z**3)*(4*z - 5*z + 0*z).\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + w + 3)*(-w + 29 - 29) - 4*w**2 + 5*w**2 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 + 159*n - 578. What are the prime factors of w(40)?\nAnswer: 2, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from {t: 8, p: 5, v: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 4 (c) 0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 12 = -3*j - 4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 0 (b) 3\/4 (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8368*w**3 - 5*w**2 - 2958*w**3 - 2469*w**3 + 5*w**2.\nAnswer: -13795*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3176 divided by -1588.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.77 + 4179.84.\nAnswer: 4186.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 74*z**2 + 1397*z + 3357. Determine o(-16).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 12*p - 5. Let i be y(-11). Let t be (-3)\/(i\/2)*-17. Suppose -t = -2*f + f - 2*u, -4*u - 2 = -2*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + -158a56?\nAnswer: -158961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464.023 + 464. Which is smaller: -2\/21 or u?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 158 - 16*k**2 + k**3 - 305 + 0*k**3 + 153. Let r be h(16). Solve 5*f - 4*y - r = 0, 2 = -y - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**2 - 2*k - 2. Calculate z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/4))\/v*(v**(1\/3)\/v)\/v*v)\/(v**1)**(-49) assuming v is positive.\nAnswer: v**(577\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10237173.01 - -9614978.4. Let i = 622279.610122 + y. Let u = i - 85. Round u to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10441351 to four dps.\nAnswer: -0.1044","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 12*o**2 + 11*o + 3. Let h be b(-11). Suppose -784009 = -4*v + 5*n - 2*n, h*v + 4*n = 587988. Round v to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.881461 rounded to 1 decimal place?\nAnswer: 930.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 + 2*q + 16. Let a be n(-6). Let r = 8 + 1. Calculate the remainder when 1\/(-1)*11\/(88\/a) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 78556570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 14*d**2 - 2*d + 4. Is v(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s**(-6))\/s*(s\/s**(5\/6))\/s*(s*s\/(s\/(s\/(s*s**(-1)))))**(1\/32) assuming s is positive.\nAnswer: s**(-277\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507510 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278 and 695?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82142256 divided by -16?\nAnswer: 5133891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l = 0. Let t be (-238 + 2)*(-1 - 0). Let y = t + -1421\/6. What is the closest to l in -3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 231. Let h(d) = 690619*d - 2. What is h(m(w))?\nAnswer: -1381238*w**2 - 159532991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:23 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose -2*c + 12 = c, -x + p = c. Let g(d) = d + 1. Let h(t) = 2*t**2 - 4*t - 5. Determine x*h(n) - 6*g(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5412, -10093, -13322, -14373, -12520, -7037?\n\"Answer: 121*x**3 - 5528*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - o**2 + 2 + 6 in the form t*o**2 + y + p*o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 31*w**2 - 4*w - 6. Let t(h) = -3*h**2 + h + 1. What is g(o) + 4*t(o)?\nAnswer: 19*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 58, -11, -0.5, -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let b(f) = 18*f**2. Determine b(s(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1496201\/646353 + -1\/47878. What is the common denominator of -19\/18 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025442?\nAnswer: 2, 3, 11, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 + 4*d**2 - 2*d**2)*(4*d**2 - 30*d**2 - 10*d**2) in the form r + p*d**2 + w*d + z*d**3 + l*d**4 and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6524?\nAnswer: 13048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -15, 1981, -3, -9 in increasing order.\nAnswer: -15, -9, -5, -3, 4, 1981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*w + 4*w = -1115, 4*g + 4*w = 4560. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Let j(b) = -7*b**3 + 6*b**2 + 6*b + 8. Let o(a) = -6*a**3 + 5*a**2 + 5*a + 7. What is d*j(t) + 6*o(t)?\nAnswer: -t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58762 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5464 + 16640. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhvhhhhhhhhhhh. Give prob of picking 2 h.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-63)*(1 + -29). Suppose -2*f = -6*f + j. Let o(a) = a**3 - 5*a**2 - 5*a - 6. Let s be o(f). Solve d - 3 = 3*m, -3 = -d - s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/7))\/w)**42*(w*w**(1\/2)*w)\/(w\/(w*w\/w**(-4))))\/((w\/(w**1*w))**(-3)\/(w*w\/(w*w**(-1\/4)\/w))**32) assuming w is positive.\nAnswer: w**(177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 3*k. Suppose 4*q + 25 = r, -k*r + 3*q = -2*q - 44. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8 + 15*c + 2 - 24*c + c**2. Let u be o(8). Let t = 64 + -61. Solve 11 = -t*i + 2*q, 2*i - 4*q + u*q + 6 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 10000?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 72 = -15*t - 4*d, -3*t - d - 271 = 0. Which is bigger: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/33)*o**(-4\/13)*o)**(-30) assuming o is positive.\nAnswer: o**(-2710\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 6. Let m be t(3). Suppose -5*k + 120 = -h, -4*k - m = -4*h - 105. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*n - 2396 + 971. Let u be (-16)\/20*(-1)\/(-2). What is the fourth biggest value in n, 3\/4, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.012996185 - -0.013. Round z to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + 2*x**2 - 1. Let o be n(-1). Suppose o = w - 8. Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -2408a?\nAnswer: -24088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21664 is divided by 10798.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 40*b**3 + 4039*b**2 - 102*b - 97. What is s(-101)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let m(j) be the second derivative of -3*j - 5*j**2 + 0*j**3 + 0*j + j**3 + 4*j**2. What is 5*a(q) - m(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**5 + 14725886*r**4 - 3*r**2 - 99192164 wrt r?\nAnswer: 180*r**2 + 353421264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32826, -65615, -98396, -131169, -163934?\nAnswer: -196691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**3 - 115*h**2 - 865*h - 578. What is k(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/35)\/u)\/u*u**(24\/11)\/u)**(1\/15) assuming u is positive.\nAnswer: u**(-293\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspsssvnpppsns. Give prob of sequence nvnv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.089 + -0.019. Let a = x + 0.13. Which is greater: -45 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) - (5*sqrt(132)*-1 + sqrt(132))))\/(sqrt(72)\/sqrt(6)*-6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/3*(-21)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2909, -2954, -2999?\n\"Answer: -45*y - 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 12 - 39 + 4*n**2 - 32.\nAnswer: -n**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/4 - o**3\/3 + 2. Let x be l(1). Let u = -109 - -112. What is the closest to 0 in u, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**3 + u**2 + 2*u + 1. Let a be 3 + -1 + 1 + -1. Let k be w(a). Let t = k - -43. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (-12 - -15). Suppose -2*v + 23 = -5*h, -v = f*v + h - 17. Is v less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-3081)\/1185. Solve -2*i + 1 = -l*w, -i + 22 = -5*i - 2*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*x + 13574, 2*x + 104*k - 5473 = 99*k. What is the remainder when x is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 16. Let r be (g + -3)\/1 - -2. Suppose -r*p + 8 = 2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/98*14\/4. What is the second derivative of -13*d**3 + 22*d**y - 43*d**2 - 15*d + 21*d**2 wrt d?\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835545?\nAnswer: 5, 83, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 29, 15, -25, -103, -231?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146901.651 minus -0.4?\nAnswer: 146902.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075420879?\nAnswer: 103, 39567193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*u - 64, -4*u = 3*w - 0*w + 56. Let t(z) = -z**3 - 11*z**2 - 4*z - 24. Let b be t(u). Sort -0.3, b, 2\/5 in increasing order.\nAnswer: -0.3, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/805 and 37\/125971115.\nAnswer: 881797805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w + 101. Let m(i) = -16*i**2 + 11*i + 1. Let s be m(1). Let a be y(s). Solve -8 = -4*q, u + 0*q + 4*q = a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43696*k**2 - 21935.\nAnswer: -87392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {x: 2, t: 7, o: 7, p: 3, q: 1}.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = 210 + 654. Let h(p) be the first derivative of p**3 - 3*p**2 + 5*p + 6. What is the remainder when h(4) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -24323*m - 24311. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119462*p**2 - 87*p**5 - 119462*p**2 - p**5 + 4*p**5 - 2*p**5 + p - p + p**5 - p**5 + 4*p**5 - 4*p**5 + (2*p**3 + 0 + 0)*(4*p**2 + 0*p**2 - 2*p**2).\nAnswer: -82*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 419755 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323258716\/97365 + -85\/19473. Let j = l + -3324. What is the common denominator of j and -41\/153?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41669*d**3 - 262159 wrt d.\nAnswer: 125007*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**5 + 28*h**4 + 76*h**3 - 700*h**2 + 600*h = 0.\nAnswer: -5, 0, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.3578 centuries to years.\nAnswer: 19035.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 447482, 895120, 1342758?\n\"Answer: 447638*z - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-9.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/14 + 2\/(-7). Let h(k) = -k + 1. Let u(c) = 14*c - 3. Let z(v) = -4*h(v) - u(v). List the prime factors of z(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -19*j. Determine c(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than -2582\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83948 = 5207*j - 2402*j + 17518*j + 58313 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*-3*-1)*-3)\/(sqrt(24)\/(sqrt(36)\/(3*sqrt(9)))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 - 147*y. Let m(i) = 6*i**2 + 146*i. Calculate 5*d(j) + 6*m(j).\nAnswer: j**2 + 141*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:00 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3533488 - -5733488. What is g rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from iiijiiijijiijiji.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 2002*r**2 - 56082*r\/7 + 42066\/7.\nAnswer: 2*(r - 3)*(r - 1)*(r + 7011)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9097921*m**4 - 7*m**3 - 11437101*m**2 + 4*m?\nAnswer: -218350104*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 11*w**2 + 10*w + 4. Give m(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 695*f - 295. What are the prime factors of p(10)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*10.95.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:43 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/9 + 202*h**4\/9 + 66*h**3 + 590*h**2\/9 + 196*h\/9 = 0 for h.\nAnswer: -98, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065.8355736 + -0.73?\nAnswer: 1065.1055736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - 293*w - 4 + 270*w - 9 to the form s*w + n and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -125885, -125865, -125843, -125819, -125793?\n\"Answer: d**2 + 17*d - 125903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eupq when four letters picked without replacement from uqrepequque?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 10. Let l be 8\/q*81\/(-12). Suppose l = -4*o + 5*o. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -34. Suppose -u*w - 3 = -27. Let v be -2 - (-3)\/(w\/14). Is 5 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(0 + 1)\/1. Let u(f) = -f**3 - 6*f**2 + 10*f - 6. What are the prime factors of u(j)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 17*u - 30. Let f be n(15). Put 4, -2, f, -9 in increasing order.\nAnswer: -9, -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2904))\/sqrt(4))\/(sqrt(8)\/(sqrt(4) - sqrt(36))*1))**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:10 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from {r: 3, a: 3, w: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*j = -16, 0 = 2*b - 6*b + 3*j + 16. Suppose g + b = -3*g. Is 645 - (-4 - 8\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.16*5732.\nAnswer: 6649.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(6 + 1 + (-24)\/3). Let m(n) = -4*n**3 + 3*n**2 + n - 3. Let c(z) be the first derivative of -z**4\/4 + z**3\/3 - z + 1. What is j*c(h) + m(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 741\/4 + -185. Which is the nearest to z? (a) -3 (b) -2 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5468 - -60152\/11. Factor -6\/11*h + 0*h**2 + 2\/11*h**3 + o.\nAnswer: 2*(h - 1)**2*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 89400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = u + 4*x, -19*u + 22*u + 6*x - 3*x = 36 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + o + 0*o - 5*o + o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -8\/5*o**2 - 4\/5 + 2\/5*o**3 + 2*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 - 140*t**3 + 175*t**2 + 870*t = 0. What is t?\nAnswer: -29, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 - 877 = 6*k. Let m be 4 - (k\/12 + (-2)\/(-12)). Let t be (2 - 4) + 486\/3. Calculate the highest common divisor of t and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1770*u + 74947. What is w(42)?\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-16)\/24) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125720)\/(-202050) + (1 + (-32)\/20)*2\/2?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 5*u. Let o(x) = -x**2 + 3*x - 1. Let q be o(2). Let n be 4 + -4 + u - q. Is n bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*x + 5*x + 2, -22 = x - 4*f. Let b be 6 - (-42)\/(-7)*x. Which is smaller: b or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4361136 and 102.\nAnswer: 74139312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68166 - -68408. Let x(m) = m**3 + 8*m**2 + 3*m - 6. Let w be x(-7). What is the greatest common factor of w and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 58 + 27. Let t(p) = 7*p**2 - 3*p + 6. Let q(l) = -20*l**2 + 9*l - 17. Let z(g) = y*t(g) + 6*q(g). What is z(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 21. Suppose -f + 17 = p. What is the remainder when 27 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6273.474 plus 0?\nAnswer: -6273.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/7 + 2)\/(146\/511). Let x be 84\/(-140) - h*(-66)\/20. Let b(f) = f**3 + 4*f**2 + 2*f + 4. Let v be b(-3). Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 0) + (-247 - (-123 - 80))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20360 + 5?\nAnswer: 20365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-13 - -11) + 0 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 10. Let d be z(9). Let c be (432\/40)\/(8\/(-50)). Let k = -68 - c. Do d and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 28 - 14. Suppose -3*i + 2 + f = 0. Solve j + i*j = -2*h, 0 = -h - j - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11952 by 6.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11219, 44914, 101073, 179696, 280783, 404334, 550349?\nAnswer: 718828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 516.6052 millennia?\nAnswer: 5166.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y - 3*j, y - 3*j = 4*y. Let z(u) = 0*u + 316*u**3 - 2*u - 3 - 155*u**3 - 168*u**3 - 3*u**2. Determine z(y).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/76 + -1\/532. Which is the smallest value? (a) 1\/6 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -32)*((-25)\/(-15) - (-11924)\/(-7194))?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84614487 is divided by 307689?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121704, 243409, 365114, 486819?\n\"Answer: 121705*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.53 - -1.53. Let s = 10 + -15. Let y = -6 + 3. What is the biggest value in u, y, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 3132486*r - 4088528558415.\nAnswer: -3*(r - 2610405)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*n - 11 = 0, 7 = -2*x + 2*n + 1. Suppose -3*m - 31 = 4*p - x, -3*p + 4*m - 10 = 0. Let d = p - -12. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v + 154. Let w be (-1 - -2) + 10 + (18 - 19). Determine i(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2311021302011?\nAnswer: -2311021302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -3*p. Suppose -4*t + z = 2*z - 17, 3*z + p = -t. Suppose 0 = -0*u - t*u + 45. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 - 2*l. Let z(t) = t**2 - 10*t - 13. Suppose -4*j + 33 = -11. Let q be z(j). Let n(m) = m**3 + m**2 + m. Determine q*n(u) - p(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.3, -368, -29 in ascending order.\nAnswer: -368, -29, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.35 (b) -46 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43065 plus 0.4?\nAnswer: -43064.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137860 is divided by 45952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.9 + 14. Let t = f + -1.116. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18932 bigger than -19083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 + 564. Let z be p\/(-14)*(8 + -18)\/10. Sort z, 23, -1\/3, 0 in increasing order.\nAnswer: -1\/3, z, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 66*c**3 + 8*c**2 + 45*c. Let p(b) = 22*b**3 + 3*b**2 + 16*b. Calculate -17*p(o) + 6*s(o).\nAnswer: 22*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31450 (base 6) to base 15\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/120 + 3*x**4\/8 - x**3\/3 - 11*x**2 - 5*x + 2. Let h(n) be the second derivative of y(n). Calculate h(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + 6105\/7150 - 2\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 136? (a) 0.1 (b) 892\/9 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 14*p + 11. Give r(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21192989*b**4*u**3 + 2*b**3*u**3 + 6*b**2*u**3 - 980350*b**2*u + 3*b*u**2 wrt b.\nAnswer: -508631736*b*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -92 (b) 1 (c) 4 (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by (282\/(-21))\/(-18 + (-868)\/(-49))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*l + 32 + 2, 13*l + 12*l - 2271 = -376*u + 28*l for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 980\/9 + -109. Sort r, -0.1, -0.5 in increasing order.\nAnswer: -0.5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (6 - (-6 - -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -486 divided by 3930\nAnswer: -81\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -61. Solve -5*c = 3*r + 15, r + 0*c + t = 3*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23720 times 41.93\nAnswer: 994579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -711*l + 57. Let w be n(-17). Suppose -11*j = -w - 12353. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 809 - 808. Let z(r) = 9*r**2 - 3*r. Calculate z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-19 - -8 - 0) - 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 23*y + 21 = -4*i, 0 = -y - 7*i - 36 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2*g - g)*(12 - 10 + 7) + (g - 5*g + 2*g)*(-1 + 1 - 1) to the form q + j*g and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Let m be (5\/2)\/(9\/(-18)). Let n(y) = y - 4. Let c be n(3). Put c, q, m in decreasing order.\nAnswer: q, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**4*r)\/r)\/r)\/(r**(-2)*r))**14*(r**(-2\/3)\/(r\/r**2*r))\/((r*r\/((r**0*r)\/r))\/r*r*r)**(-36) assuming r is positive.\nAnswer: r**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66396*z - 92944 with respect to z.\nAnswer: -66396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + sqrt(27) + 1)**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 3. Let z(a) = -a**3 - 19*a**2 + 15*a - 27. Let t be z(-20). Suppose -12*q + t = 109. Determine v(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:54 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50693 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: Let n(m) = -3*m**3 + 27*m**2 + 4*m - 26. Give n(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 30. Let o = k - 54.0000014. Round o to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7393409446 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/6 - 2956*f**3\/3 - 1971*f**2\/2 = 0?\nAnswer: -1, 0, 5913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 4. Suppose -y + o = -0*o + 19, 4*o + 59 = -5*y. Let t be (-2)\/10 + 27\/y. Let j be (0 - 0)\/(t + 3). Give g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8175 + -6201. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:19 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/(9*(-1122)\/297 + 32)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13401*q**2 - 8124*q?\nAnswer: 26802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69429 rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - (4 + -3 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*((-1)\/3 - 0). Suppose -j + n*v + 91 = 0, j = -j - 4*v + 182. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -17 (b) -529 (c) 0.2 (d) -1 (e) -0.2 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:15 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a factor of 23534690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 3. Let j be i(-14). Suppose q + 5 = j. Suppose 0*p = -2*p + 46. Calculate the remainder when p is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -27, -59, -103?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 24*r**3 - 2*r**3 - 6*r**3 - 8*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/30 + l**4\/6 - l**3\/6 + 2*l**2. Let n be h(-3). Suppose -20 - 10 = -n*x. What is the lowest common multiple of x and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 8*v**2 + 47*v - 11. Calculate i(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/54 and -109\/7768926.\nAnswer: 7768926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3 + 9 - 6 + f**2. Let t = 2 + 1. Let m(l) = -t + 2*l + 3. Give m(w(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 630*u**2 - 630*u**2 - u + 0*u.\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15070600 to the power of 1\/2, to the nearest integer?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 72 = c - 4*x, -2*x = -4*c + 48. Solve 4*a + 13*l = c*l + 5, -2*l + 25 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*m - 18 = 202*m. What is the common denominator of -35\/26 and (-2)\/12*2*(-639)\/m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)\/v**(-4\/3))**(2\/5) assuming v is positive.\nAnswer: v**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24*((8\/(-198))\/(74\/36741) + 20)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18601.42 days to hours.\nAnswer: 446434.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*o + 53*o - 312 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u + 4. Let s be w(-6). Suppose -153 = -7*d - 181. List the prime factors of -56*-1*d\/s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (-7 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292 + 255. Sort v, 5, 2 in increasing order.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 2*t**2 - 8*t + 10. What is k(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 406.032262185 and 0?\nAnswer: 406.032262185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z - 1. Let n be c(1). Let k be -3*1 + n + 149. Let m = -73 + k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3360\/8400*-30*(143\/2)\/11.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8648 and 43052?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15*p = 2*p + 131552. List the prime factors of p.\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -1242.685725?\nAnswer: 1248.685725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1152 and -37\/16848?\nAnswer: 134784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 61803538.\nAnswer: 61803537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 900832545 to the power of 1\/2, to the nearest integer?\nAnswer: 30014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -124 + 197 - (-3 + (3 - (6 - 15)) + -5)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4904)\/(-17) - -1. Let w = y + -867. Let p(x) = 65*x**2 + 2341*x + 35. Let g be p(-36). Is g smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1 - 2 - 4*g**2 + 11*g**2. What is the tens digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(245) + 4 - sqrt(245)) + -1 + (sqrt(245) - (sqrt(245) - (-5 + 2*sqrt(245))))))**2*-5.\nAnswer: -78720 + 4480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*d - 5525 = 1666 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1828723 and 125866.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -315970 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10678550 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 480.327 + 0.673. Let w = -477 + z. What is the fourth smallest value in 3, -0.5, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-170*1)\/(-2). Suppose -5*d + 9*d = i. Calculate the remainder when 59 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -43.26097638.\nAnswer: -42.86097638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -379, -1, -101, 4 in decreasing order.\nAnswer: 4, 2, -1, -2, -101, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:04 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let g(o) be the third derivative of -11*o**6\/360 - 29*o**3\/6 + 21*o**2. Let p(c) be the first derivative of g(c). Determine p(h(j)).\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 35 = 3*s. Let u(y) = y**3 + 8*y**2 + 5*y + 1. Let q be u(s). What is the tens digit of (-6)\/q - 67\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5100\/60 + 3\/1. What is the first derivative of s + 2*h**3 - 149 - 14*h - 13*h wrt h?\nAnswer: 6*h**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 159012.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 5 + 5)*(-3*t - 2*t + 651*t**2 + 2*t - 1009*t**2).\nAnswer: -1790*t**5 - 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 145 = 4*l - 94, -2*l - 10*b + 12*b = -94 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(1*sqrt(10)) + -1*sqrt(500) + (-5*sqrt(240)*2)\/sqrt(12).\nAnswer: -29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/16 - 7\/16. Let o be -5 - 948\/(-108) - 3. Sort 0.2, o, z.\nAnswer: z, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let h = -13792 - -68963\/5. What is the third biggest value in -4\/7, n, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhfhgthftfgnhvht. What is prob of sequence hghf?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + 11110?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, -1\/14, 0, 3\/4, -3, 0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwhmywh. What is prob of sequence yw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-435))\/(2490\/332)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67.15685 and -104.41454?\nAnswer: 37.25769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o + 4. Let n be 1\/(0 - -3 - o). Let v = 371 + -3335\/9. What is the nearest to -1 in n, 1, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1082, -1872, -2650, -3410, -4146, -4852?\nAnswer: -5522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -14\/5287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -36) + 9 + 0 + 4 + -4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**2 - f**3 - 44*f**2 + f**2 + f - 23*f**2 to the form n*f**2 + y*f + h*f**3 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 1888. Let j(f) = 2*f**2. Give j(h(n)).\nAnswer: 8*n**2 + 15104*n + 7129088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -19. Suppose -2*g - 126 = -2*s, 2*g + v + 39 = s. Suppose -f = f - s. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -688, -954, -1218, -1480, -1740?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 2\/9, 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-49)\/(a**(1\/7)*a**(-3\/7)\/a*a) assuming a is positive.\nAnswer: a**(1031\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 14 + 10*d**2 - 3*d - 4*d**2. Let n be k(6). Solve -n*y = y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o**2. Let z(w) = -w**2. Let u(q) = -2*v(q) - 33*z(q). Let m(c) = 17*c**2. What is m(u(y))?\nAnswer: 153*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-6) - 4880\/(-13440) and (0 - 4)*51\/(-96).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69682.\nAnswer: 2, 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 2. Let d be j(-3). Let v(p) = 3*p + 4 + 22 - p - 16. What is v(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 - 6*b. Suppose 3*h = 2*g + 16, -4*g = -2*h - 3*g + 10. Give y(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2. Let f be -6*1 - (18 + -24). Let s(n) be the third derivative of -16*n**2 + 0*n + 0*n**4 + 0*n**3 + 1\/60*n**5 + f. Calculate p(s(l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12)*1 + sqrt(12)) - 5*(sqrt(11)*2 + sqrt(11)).\nAnswer: -29*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6)\/((-4)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 - 6*o - 1. Let q(b) = -2*b**3 + 5*b**2 + 5*b + 1. What is -5*l(s) - 6*q(s)?\nAnswer: 7*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 2*l - 2*l + 4*l. Let v(i) = i**2. Suppose -4*h = -12*h - 24. Let t be h + (-4 - -6 - -2). Determine t*v(w) + o(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwhz. What is prob of sequence wzb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 18. Let r be l(-15). Let g(d) = -3*d - d**2 - r*d**2 + 7*d**2 + 2. Does 2 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p - 58*p = 81*j - 123*p - 156, j = 4*p - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -19864*p + 19846. Calculate s(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 694*w + 1.\nAnswer: 694*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 253*h**3\/3 - 11. Let z(m) = 2*m. Calculate z(u(w)).\nAnswer: 506*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 102*d - 2903. What are the prime factors of y(-53)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2.5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 138515*f - 5262126 = 0.\nAnswer: -138477, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 10*m + 8. Let k be t(-1). Suppose 0 = j + 3, 0 = -5*n + k*j - 4*j + 1194. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 112 + 32 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-2))\/7*-116. Let v = -25 - q. Suppose -2*i = -0*n + 3*n - 63, 2*i = 3*n + v. Calculate the remainder when 69 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -13*k**2 - 29*k + 43. Let g(u) = 3*u**2 + 7*u - 11. Let p(l) = 2*a(l) + 9*g(l). Let f be p(-8). Solve -31 = -5*j - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006259 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 2*n - 3*n)*(1 - 3 + 3) + 2*n + 0*n - 3*n)*(-14*n - 5*n + 0*n).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.6019 and -0.5?\nAnswer: -6.80095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -163 in ascending order.\nAnswer: -163, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*1 + (sqrt(57)\/sqrt(3))**2*-5 - ((sqrt(76)*1*1 - sqrt(76)) + sqrt(76))\/sqrt(4).\nAnswer: -95 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*n - 1869*n - n.\nAnswer: -2685*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in -21, 354, 0.4, -11\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-12))\/((-4)\/24). Suppose -w*j - 96 = -4*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42486751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - ((-5103)\/(-54))\/(-7))*(-6)\/309?\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32333203303213 + -3?\nAnswer: 32333203303210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4 + 12*c**3 - 135*c**2 - 588*c - 588 = 0 for c.\nAnswer: -7, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 761?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 714263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1600, -1601, -1602, -1603, -1604?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27391 and 1001?\nAnswer: 301301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24397, -24401, -24407, -24415, -24425?\n\"Answer: -f**2 - f - 24395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 20*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4\/5 - 51252*t**3\/5 + 102564*t**2\/5 + 563812*t\/5 - 123024 = 0.\nAnswer: -12815, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*(-86)\/(-12) - 6\/(-9). Suppose -332 = -3*c - y. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873200 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. What is r(-15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -12?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -864857*k + 864858. Determine g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-40)*-4*(-1)\/2. Let l be 1\/473*(6 - 4). Is h greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 36531?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 + 0 + 4*f**2 + 35*f**3 - 2*f - 38*f**3 + 2. Let v(h) = 7*h**3 - 9*h**2 + 5*h - 5. Give 5*k(q) + 2*v(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + f - 1 + 3 = 0, -3*f + 15 = n. Suppose -a + 0 = 2. Sort -5, n, a in descending order.\nAnswer: n, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.41 and 0.88053.\nAnswer: -2.1220773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 12 + 8, -3*b - 15 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202631 * -107.\nAnswer: 21681517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljjzzw. What is prob of picking 1 w and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3553.\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - ((-825)\/315)\/(-11)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*f + 14. Suppose 4*t + 2 = 5*l, 3*l - f*t + 2 = -0. Let 2\/3*s**2 + 4\/3 - l*s = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138180061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 0*q + (1 - 1 + 1)*(-3*q - 2*q + 2*q) - 12*q - 26*q - 2*q.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.056, -1\/3, -5\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(171\/30) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4421*d**2 + 5. Let i(c) = -2*c. Calculate x(i(a)).\nAnswer: 17684*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, s: 9}. What is prob of picking 2 s and 2 b?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1710713, 3421419, 5132125, 6842831, 8553537, 10264243?\nAnswer: 11974949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 26*a + 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -15 - -4 - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -93*r + 475. Let u be j(5). Solve 0 = -5*o + 7*d - 4*d + 20, -5*o + d + u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*p + 3*f - 18, 5*f - 18 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {i: 3, g: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n. Let w(b) = -2*b. Let l be 6\/5*15*110\/(-45). Let i be 3\/(-9) + l\/(-6). Let c(g) = i*w(g) + 3*f(g). Let d(j) = -44*j**2. Determine c(d(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 - 6*a - 4. Let t be w(-4). Let v be (t\/(-18))\/((-13)\/117). Let c be 33\/(-6) + v + (-3)\/2. Put -9, -2, 3, c in decreasing order.\nAnswer: 3, -2, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, -2386, -5388, -9584, -14968, -21534, -29276?\nAnswer: -38188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1\/15*n**3 + 0*n + 0*n**2 - 1. Let p(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(0 - 1 + 0)*(1 - 1 + 1)*(-1 - 1 + 0)*(-109 - 3 + 13)*(0*k**2 + 2*k**2 - 3*k**2) to f*k**2 + u*k + c and give f.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 12*d - 180. Let y = 330 - d. Let h be y\/8 + (-1)\/(-4). Solve -2*z - 22 = -3*o, o - 5*z - h = -2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 13*r**2 - 18*r + 19. Suppose u - 2 = -2*h + 23, -3*h + 5*u = -18. What are the prime factors of m(h)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/235 and 34\/2069655?\nAnswer: 97273785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1938\/(-85))\/(2\/(-10)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 11*j. Let z be m(-6). Suppose 4*i = 4*y - 96, -2*i - i = z. Suppose -y*s + 24*s = 6. Calculate the remainder when 17 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 125*n - 205. What is the tens digit of u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 + 162. Suppose -h + 150 = 2*w, -4*w + 5*h + 47 + 225 = 0. Let i = 103 - w. What is the remainder when i is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188 - 3*z**2 + 42*z**3 + 188)*((4 - 4 + 1)*(-2 + 3 + 0) - 7 + 18 + 20).\nAnswer: 1344*z**3 - 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s**3 - 51*s**2 + 1\/21*s**6 - 1\/98*s**8 + 0 - 2\/105*s**5 - 13\/735*s**7 + 0*s**4 + 0*s. What is a in i(a) = 0?\nAnswer: -2, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/6)*o**(-2\/91)\/o assuming o is positive.\nAnswer: o**(-103\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/1681, -0.1, 2016?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31825, 31534, 31243, 30952, 30661?\nAnswer: 30370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 s, and 1 i when four letters picked without replacement from ssidfdsmisdiffs?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18644*d - 111869. Calculate o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128747 is divided by 42915.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7614 is divided by 7611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from qqoq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (11 - (-2 + 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.6 + 49. Let o = 0.594 + c. Let n = 0.094 - o. What is the smallest value in n, 4\/5, 6, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 226.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 391 + 49 - 402*l + 3*l**3 - 1195*l**2 + 598*l**2 + 564*l**2 - 8 = 0. Calculate l.\nAnswer: -8, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 9*h - 11. Let a be p(-5). Let s = a - -91. Suppose s = 5*q + 3*u + 2 - 174, -2*u = 4*q - 138. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -40. Let z = q + -21. Let u(a) = -a**2 - 6*a - 5. Let t be u(-3). Put z, t, 5 in descending order.\nAnswer: 5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 + 13*f - 27. Determine l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and 1575.\nAnswer: -55.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*i*l**4 - 2*i*l - 42*i - 3*l**5 - l wrt l.\nAnswer: -780*i*l**2 - 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 4*sqrt(11) - sqrt(11)).\nAnswer: 12 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217676 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1227\/2 - 637. Let d = -105 + 53. What is the common denominator of k and (-75)\/160*d\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -1\/7?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times -2.856?\nAnswer: -197.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 443*i**2 + 15233*i - 15675.\nAnswer: -(i - 475)*(i - 1)*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Let a = 0.0408 + -0.0014. Let x = 0.4606 + a. What is the biggest value in o, -1, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*i - 96 = 461*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -257*j**2. Let o be a(1). Let x = o + 371. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Let c(t) = -t - 4*t**2 - r*t**2 + 2*t**3 + 3*t**2 + 0*t**3 - 3. Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 6. Suppose -w - 3*p = g*w - 72, 33 = 2*w - p. Suppose 2*a - 21 = -3*q - a, 4*q + a - w = 0. Solve 2*b = -q*r + 3*r, -2*b = -5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/7 + 43\/84. Let k(m) be the third derivative of 0 + 0*m + 2*m**2 - 1\/120*m**6 + 0*m**5 + 0*m**3 + x*m**4. Find the second derivative of k(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385124?\nAnswer: 2, 96281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrznnrzzrzrnr. Give prob of sequence nzr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*h = -348*h - 6215. Let m = h - 559. Factor 0*b - 3\/4*b**5 - m*b**2 + 0 - 9*b**3 - 9\/2*b**4.\nAnswer: -3*b**2*(b + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9957511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(1 + (-4 - -2)). What is the greatest common divisor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26631?\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10 - 0. Suppose -l = -0*l + 4. Let n = t - l. Solve -5 = -n*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*4\/6 + -2. Suppose z = -3*a - a. Solve a = -j - 4 + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*h - 2 = 5*l, h + 14 = 5*l. Solve 2 = d - l*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9583, 9580, 9575, 9568?\nAnswer: 9559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -0.008 (c) -5\/2 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3)*(1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3\/2 + 21*d**2 + 99*d\/2 = 0?\nAnswer: -11, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -0.06 (c) 3512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 12*l**2 - 13*l - 5. Let a be q(-10). Suppose -77 = -3*r - 212. Let x = r - a. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-120)\/100*(-20)\/6. Suppose -9*g = -l*g + 25, 0 = -f + g + 38. Solve 38 - f = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23494249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 15. Let t = -106080 - -106106. What is the remainder when t is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(2\/(-60)). Let b(s) = -190*s**3 - s**2 + 1. Let h be b(1). List the prime factors of h\/g - 2\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.19, 1207, 40?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76305 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.374 from -22588432640.\nAnswer: -22588432642.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7384.071 millimeters to micrometers.\nAnswer: 7384071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -571401 or 72\/59?\nAnswer: -571401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 712.3829.\nAnswer: 705.3829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-four fifths of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457609 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2) + (-1116)\/144?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 662, 677, 698, 719, 734, 737?\n\"Answer: -d**3 + 9*d**2 - 5*d + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.820442.\nAnswer: 3.281768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -4 (b) 6\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 144 = 36*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*h**2 + 11*h + 6?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z. Suppose -5*h = 4*y + 20, -y + z = h + 5. Solve x + 4*v + 20 = h, -4*x + 2*v = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 30 = 10. Let c(x) = -x**3 + 15*x**2 - 13*x - 11. Let b be c(14). Differentiate -1 + 5 - 15*r**b + d with respect to r.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*f - 115*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2787834 + -2787818.19887. Let k = b - 15.8. Round k to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155 + 8\/(-40) + (-4)\/5?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*y = -5881 - 1919 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -145*b + 133*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by -5986\nAnswer: -368\/2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.139 - 4.175. Let b = -1.7 - -4.9. Let m = b + r. Round m to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -0.05, -1, -1\/16, 0.5, 4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2450)*-1 + sqrt(2450))\/sqrt(10))**2 + ((sqrt(40) - sqrt(160)\/sqrt(4))*-6)\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 3*m - 171. Let a = m + 323. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 4. Let h be (-4)\/10 - d\/(-10). Factor -n - h - 3*n - n**2 - 3.\nAnswer: -(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 4 - 4. Let j = 52 + -5. Let u(c) = -c - j + 47. Give m(u(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.311*8.61.\nAnswer: -226.53771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 50. Give w(21).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1209 - 593*w**2 + 329 - 3*w**4 - 1216 + 68*w**2 wrt w?\nAnswer: -12*w**3 - 1050*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*l**3 - l + 277*l**3 + 3 - 100*l**3 + 4*l**2 to the form u + t*l**2 + o*l**3 + q*l and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -656\/7 + 94. Which is the smallest value? (a) x (b) 0.13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 16*c = -3616. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 1770*o**3 - 5*o**2 - 1801*o**3.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 562, 576, 596, 622?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (-13 + 41)*(-1)\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*s + 3*z + z, -7*s - s + 160 - 152 = 16*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-7\/3)*x\/(x\/((x*x**2*x*x*x)\/x))*(x**(-4\/9))**(11\/5) assuming x is positive.\nAnswer: x**(121\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**3*v**5 + 686*t**3*v**3 + 5*t**3*v + 40*t**2*v - t + 4 wrt v?\nAnswer: 80*t**3*v**3 + 4116*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 20*m - 26)*(m**3 - 13*m**3 - 8*m**3).\nAnswer: 400*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 43372*p**2 + 705423894*p.\nAnswer: 2*p*(p + 32529)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 9. Let i be g(-3). Let h be 48\/8 - (8 + i). Solve -2*r = -4 - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96135 and 5705115?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/5, -2\/5, -0.2, -0.1 in descending order.\nAnswer: -0.1, -0.2, -2\/5, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 146?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 2, s: 2, a: 1}. What is prob of picking 2 s and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbzw when four letters picked without replacement from {q: 3, b: 1, k: 2, e: 3, z: 3, w: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 4. Let q be u(-6). Let f = -5.6 + 6. Which is the third smallest value? (a) q (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -485 and 0.06.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43692 = 4464*i - 3471*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i + 2. Let l = i + 18. Let q = 17 - l. Solve g + 0 - q = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 1017 + 35*t - 280 - 371 - 81.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 5\/7, 1, -3\/286, -1\/4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 18. Let o be (12\/(-9))\/((-6)\/3). Put -1, b, o in ascending order.\nAnswer: b, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6972751 <= -6972752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0 + 15*i + 1\/6*i**3 - 7\/2*i**2. Determine r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d - 58. What is k(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -94. Let t(p) = -3*p - p**3 + 6 + 6*p**2 + 2*p**2 - 4*p. What is the lowest common multiple of s and t(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7273, 7275, 7287, 7315, 7365, 7443, 7555?\n\"Answer: v**3 - v**2 - 2*v + 7275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14013 - 4?\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2913\/7*v**2 - 2704\/7 - 5512\/7*v - 106\/7*v**3 - 1\/7*v**4.\nAnswer: -(v + 1)**2*(v + 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11484, -10280, -8276, -5472, -1868, 2536?\n\"Answer: 400*l**2 + 4*l - 11888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -12, 4*d + 1 = 4*t - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 144. Let z = 0.8 + 0.4. Let s = -5.8 - z. Is s greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -787\/8896 or -15?\nAnswer: -787\/8896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 4*q**4 - 3*q**4)*(0*q - 4*q + 3*q) + (2*q - q + q)*(q**4 - 3*q**4 + 0*q**4).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11557 - 80900\/7. Suppose 4*x - 2*o - 4 = 0, 4*x - 4*o + 1 = 9. Find the common denominator of m and 5\/3 - (-2 + x).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5\/7, -1567126?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 4 + 23*o - 2 + 10 as x*o + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304*r - 2065*r**3 - 3 + 1 + 683*r**2 - 304*r - r**4 - 2*r wrt r.\nAnswer: -24*r - 12390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4356 and 89\/6840?\nAnswer: 827640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(2 + 58 + 136)*(2*t - 5*t + 12*t).\nAnswer: -3528*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 41*o**2\/3 + 521*o\/3 - 187.\nAnswer: -(o - 51)*(o - 1)*(o + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.08983.\nAnswer: -0.08983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 4, n: 6}. Give prob of sequence nnkn.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564 + -3379\/6. Which is the second biggest value? (a) s (b) 1 (c) 0.1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-2*-3)\/(sqrt(36)\/((sqrt(81)*-2)\/sqrt(9))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 13*y**2 - 11*y - 10. Let v be f(12). Let l(h) = h**3 + 6*h**2 - 7*h + 4 + 20*h - 9*h + v*h. What is l(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*v + 6, -3*v - 5*c - 17 = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26233248 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20551271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usw when three letters picked without replacement from {w: 1, u: 5, s: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 21*o**2 - 7*o - 28. Let d = -1 - -9. What is the remainder when h(-21) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - 2. Calculate the remainder when 86 is divided by k(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*r - 17 = -4*b, 4*b - r = 27. Suppose b = 2*h + 2. Suppose -h*a = -0*a - 24. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let h(p) = -p - 1. Let c(x) = -g(x) - h(x). Let k(z) = -z**2. Determine k(c(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10184 - 10183.97. Which is the smallest value? (a) 3\/11 (b) -1.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8221563 and 26\/45423?\nAnswer: 8221563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2206\/7 or 316?\nAnswer: 2206\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70738 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611257 is divided by 79?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1267\/2, 35\/19, 1\/57 in increasing order.\nAnswer: 1\/57, 35\/19, 1267\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*i + 804 = -21*i. Let m(a) be the third derivative of -1\/60*a**4 + 4\/15*a**3 + 1\/300*a**6 - 2\/75*a**5 - 27*a**i + 0*a + 0. Factor m(d).\nAnswer: 2*(d - 4)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m - m)*(22 + 15 + 10) to u*m + z and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q + 4. Let t(i) = i**2 - 7*i - 3. Let w be t(8). Let p be f(w). Calculate the common denominator of (-404)\/(-24)*p*1 and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 - -0.3. Let m = 472 + -468. Sort g, 11, m in ascending order.\nAnswer: g, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2584841.1 months to decades.\nAnswer: 21540.3425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:20 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -6498 - 6270*l + 113662*l**3 + 226*l**2 - 227331*l**3 + 113667*l**3 = 0.\nAnswer: -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)\/z*z**(1\/6) assuming z is positive.\nAnswer: z**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:26 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/14 + (-232)\/(-16). Suppose 6367 = y - 5*f - 1024, -q = -4*f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 499766 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2 + 3. Let i = 14 - 7. Suppose 5*c + 2 = 3*s, -2*s - 3*c + 2 - i = 0. What is the smallest value in a, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:00 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3133220 and 15580?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkukkukkuku. What is prob of picking 2 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from uouuou.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113387\/318570 + 1006\/3885. What is the common denominator of l and -15\/2?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3418907.\nAnswer: 467, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 - 2*z. Let f be x(-2). Suppose -d - 1 = 5*m + 3*d, -4 = 4*m + 4*d. Suppose m*k - k = 10. Sort f, -2, k in descending order.\nAnswer: k, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5576*i - 7. Let a(z) = -z**2 + 5573*z - 10. Calculate -3*a(l) + 4*f(l).\nAnswer: -l**2 + 5585*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + f**2)*(1 + 14 - 2).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1261.2 - -1261. Which is the nearest to g? (a) 3\/7 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 85 = 3*m - 61, -3*m - 2*y + 142 = 0. Let b = m + -25. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56*(-5)\/60)\/(138\/(-92))?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7909 is divided by 1959?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2 - 2*a**2 + 0 - 1 + a**2. Let z be f(1). Solve -2*g - 3*g - 15 = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52377548?\nAnswer: 2, 179, 191, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let j(m) = -3880*m**2. What is v(j(h))?\nAnswer: -30108800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2336*q - 2458*q = 1067134. Which is greater: -0.2 or q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*u**5 + 9*u**3 - 4*u**2 - 14 wrt u.\nAnswer: -2280*u**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i**2 + 1. Let f = 0 + -1. Let q be d(f). Let h(u) = -u**3 + u**2 + u - 1. Let z be h(1). Solve z = 3*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632819133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 7. Let b(s) = -s + 1. Let c(f) = f**3 + 27*f**2 + 24*f - 51. Suppose -13*t + 234 = -22*t. Let h be c(t). Give h*d(y) + 5*b(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 5*v**2 - 7. Let y be (-6)\/21 + 9\/7. Suppose -2*a - 3*a = -20. Suppose -q + y = -a. Calculate u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.372 - 1.128. Which is the second smallest value? (a) -6 (b) q (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 1:56 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 11:37 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 299 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -7, -11, -5, 17, 61?\n\"Answer: d**3 - 4*d**2 - 3*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 - 0. Let s be 2\/c - (-3)\/(-9). What is the second derivative of 5 - 5 + 2*d**4 + s*d**4 - 2*d wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 14. Let z = u + -9. Suppose -4*g - g = 0. What is the third smallest value in z, 1\/11, g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 - j + 1. Let d(i) = -3*i**3 + 4*i**2 - 3*i + 2. Let q(v) = 3*d(v) - 6*f(v). Suppose q(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 + 2 = 0, 3*c + 73 = -2*d. Let w be (-20)\/c - (-11973)\/15. Let q = w + -470. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -965, -1875, -2785?\n\"Answer: -910*w - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32737\/385322 - -3\/3238. What is the common denominator of m and 49\/15?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3543184533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36604732 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 1, r: 2, f: 4, p: 3}. Give prob of picking 2 a and 1 r.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82995133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 621611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 13. Let l(m) = -m**2 + 2. Let a(g) = -g. Let u(p) = -3*a(p) - l(p). Determine u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -960 - -2227. What is the least common multiple of 5 and j?\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1109 + -1729. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-61 - -23)\/((-4)\/(-2)). Is q > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3860, 7719, 11574, 15425, 19272?\n\"Answer: -2*q**2 + 3865*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 9*h**5\/4 + 4*h**4\/3 + 43*h - 1. What is the third derivative of n(z) wrt z?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/19)\/(o**(2\/39)\/o*o) assuming o is positive.\nAnswer: o**(-155\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 17 - 17)*(181*f**2 + 224*f**2 - 218*f**2).\nAnswer: 935*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:26 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/7*g**3 - 12\/7 + 3\/7*g**4 + 9\/7*g**2 - 12\/7*g = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -62 + 3*o + 62. Let x(r) = 2*r**2 + 3*r + 3. Let l(v) = v + 1. Suppose 5*g + 5 + 6 = -2*p, 0 = -2*p + g - 5. Let b(t) = p*l(t) + x(t). Give b(w(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (129 - 117 - (7 - -2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/(0 - 1). Let o = -153\/2 + 74. Which is the third biggest value? (a) v (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 120. Put v, 5, 3, -19 in ascending order.\nAnswer: -19, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2354 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let w(y) = -20496*y. Give p(w(k)).\nAnswer: -20496*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46248 + -30843. What are the prime factors of g?\nAnswer: 3, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*r - 17*r + 8442 = 0. Solve 18*l = -87 - r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 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: What is 125582610 divided by -12558261?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/105788 and -145\/12.\nAnswer: 317364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390 or -2735\/7?\nAnswer: -2735\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -7*r - 465. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 2865912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-483)\/(-18) - 7) + 5\/30. What is the greatest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 30. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57557292 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 927*s - 3661. Let t be h(4). Is 9 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20177 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + v - 2. Let k(z) = 379*z**3 + 16*z**2 + 4*z + 1081. Let l(t) = -4*a(t) + k(t). What is the derivative of l(r) wrt r?\nAnswer: 1137*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/((f\/(f\/(f*f\/(f\/(f*f**7)*f*f))))\/f))\/(f*f**(2\/3)\/f)**30 assuming f is positive.\nAnswer: f**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 less than 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)\/(l*l*l\/((l*l*l**(-10)\/l)\/l))*(l*l**20\/l)\/(l\/(l*(l**(-3\/5)*l)\/l)))**(-29) assuming l is positive.\nAnswer: l**(-8642\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -34. Suppose -7*v + 6*v = -x. Suppose -6*z + v = -2*z. What is the remainder when 69 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 2*f - 3*f)*(-45*f + 116*f + 147*f) in the form w*f**2 + i + p*f and give w.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(432) + sqrt(432) + -3)**2.\nAnswer: -1296*sqrt(3) + 23382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -60767.\nAnswer: -5\/60767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from snnnnsssnnn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6073492.\nAnswer: 12146984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k + 4. Let q be b(1). Suppose 0*x + 4*x + 6 = 2*t, 7 = -2*x - 3*t. Let y = x - q. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22975390 to the nearest integer?\nAnswer: 4793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -34. Suppose -7*r + p*r + 5 = 3*a, 5*r - 15 = 5*a. What is the nearest to -6\/13 in -0.4, r, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 228 = 222. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 63 = -3*j, -10*j + 11*j = -3*z + 17. Solve 39*s = j*s - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, b: 2}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/6)\/((-6)\/9). Let l be 24\/9 + (-2)\/3. Suppose 0 = m*c - 6, 0 = l*v + v + 5*c - 66. What is v rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-10)*(-1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -53. Let l = -40.00078 + z. What is l rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z. Let l(c) = -29*c + 16. Calculate l(x(p)).\nAnswer: -232*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -94.0000405. What is b rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 + 10*f**2 - 80*f - 160 = 0.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 12 = 3*t - 4*v, -20 = -5*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/7, -30, 5, 0.02 in decreasing order.\nAnswer: 5, 4\/7, 0.02, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 4*k**2 + 17*k - 39. What is s(5)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 27*o - 152. Let k be x(12). Suppose -k*i + 32*i = -2528. Is -632 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 47 = 129. Suppose -25*i + 23*i + t = 0. What is the least common multiple of 8 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 2. Let h be i(-3). Suppose 5*q - 3 = -3. Let u = 56 + -51. Solve -f - u*s + q*s = -12, 5*s - 18 = -h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9557 by 307.\nAnswer: 9557\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.74886 + 5.88001. Let z = j - 6.64. Round z to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 10\/3*w**3 - 26*w + 19\/12*w**4 + 0*w**2 + 0. Find the second derivative of g(h) wrt h.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = x + 10, 420225*f - 420221*f + 34 = -2*x for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w = -87*w. Let i be ((-5)\/2)\/(1\/(-2)). Solve i = -w*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (216 + 134 + 2*j**2 - 33)*(0*j - 2*j + j)*(0 - 4 - 5) as n*j**2 + q + d*j + c*j**3 and give d.\nAnswer: 2853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x**1\/x)))**(2\/69)\/(x*x\/(x\/(x**(-1)*x)*x))**19)**35 assuming x is positive.\nAnswer: x**(-70\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 2 - 4 + 0. Let c be x(-2). Suppose c*z + 24 = 4*z. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -16. Let v(u) = -u**3 + 6*u**2 + 6*u - 6. What is the units digit of v(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 3544?\nAnswer: 3544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(4\/3)\/s*s)))\/((s*s**(-2\/5))\/s))**35*((((s*s*s**(-1\/5)\/s*s)\/s)\/s)**(-44))**(-10\/9) assuming s is positive.\nAnswer: s**(458\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 529, 531, 533, 535, 537, 539?\n\"Answer: 2*t + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/2*-6*(-5)\/(-45). What is the remainder when 25 is divided by 4\/l*(-931)\/38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = 4, -18 = -5*a - 2*d. Suppose 0 = -a*s, -4*x + 3*s + 20 = 8*s. Solve 3*m = -x - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*p**2*v**4 - 692*p**2 + 33*p*v**4 with respect to v.\nAnswer: 68*p**2*v**3 + 132*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-452)\/(-530) - (-8)\/(-20). Let b = -2346\/265 + t. Let d be -1*((-1)\/(-3) + 80\/12). Is b at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24 = 35*s - 33*s, 4*s - 36 = 5*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t - 3*a, -5*a + 35 = -7*t + 2*t. Let v(c) = c. Let p(n) = -7*n + 3. Give t*v(q) - p(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 10*s - 3 - 15*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*97118\nAnswer: 19423.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c89 (base 14) in base 7?\nAnswer: 10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 257, 48, -229?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.6, -3, -1, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 14484672?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9595 - -5.9595. What is the closest to -2\/9 in 1\/3, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a45 (base 11) to base 7.\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4848104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 652 (b) 2 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 54, 60, 68, 78, 90?\n\"Answer: p**2 + p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 8. Let u = -52 + 63. Suppose s - 3 = -3*g, 2*s + 0*g = -g + u. What is h(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2235 is divided by 156?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530536 and 819774.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:19 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 2*r + 2 = 0, 5*d - 2*r = 17. Let u = -29 + 44. Calculate the remainder when (d + 0)*57\/u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 51. Let r be a\/(2\/(-4)*-10). Suppose 9*y - 16 - 2 = r. Solve -y = i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*i)*(2*i**4 - 15*i**4 + i**4).\nAnswer: 36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**3 - 161*s**2*u - 4197*s*u - u wrt s?\nAnswer: -18*s - 322*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 4*z**2 - z**2 as v*z + y + m*z**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/583 and -113\/63871572.\nAnswer: 702587292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.39075? (a) -5 (b) 1 (c) -1\/15 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*i**5 - 1827*i + 1827*i)*(-4 + 4 - 2) - 3*i**2 + 5*i**5 - 7*i**2 + 7*i**2.\nAnswer: 297*i**5 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b + 3374 + 10222 + 13711 = 202*b for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q. Solve s - 3 = -q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(30\/12). What is the closest to n in 2\/13, -5, -2\/3, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1330 divide 11919902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 132 - 408 + 540.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 168 - 8 = 0. Solve -3*d + 0*d = m - 5, -3 = -g*m + 5*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.134 - 0.434. What is the nearest to -3\/4 in -1\/6, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261 - -536. What is the greatest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -341, 188, 1061, 2272, 3815, 5684, 7873?\n\"Answer: -b**3 + 178*b**2 + 2*b - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:15 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.2308106 take away 50?\nAnswer: -176.2308106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 169022 + -4?\nAnswer: 16901e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3774 is divided by 757?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from irvrivvrrav.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -85*q + 2551. Let x be d(30). Sort x, -388, -2.\nAnswer: -388, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*h - 4*h = -14, 2*h - 6 = 0. Let x be j\/(-4) + (-205)\/(-20) + -8. Sort x, -2, 116 in increasing order.\nAnswer: -2, x, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**2 - 1\/10*a**5 + 0*a**3 - 2*a + 0 + 0*a**4. Differentiate r(z) with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 22.025. Let o = m - 1.375. What is o rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0 - 10. Suppose c*h + 22 - 58 = 0. Let j be (-8)\/(-14) + h\/(-105). What is the nearest to j in 3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -510 - -1328. What are the prime factors of h?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/5)*(x*x**(7\/5))\/x)\/(x**12*(x**37*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20670014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 - 134 = 0. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.04, -0.4, 2\/7, 9, -1.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173.\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1695 - 1695 - 9*n**2 + (-4*n + 2*n + 3*n)*(-3 + 3 - n) + (-3 + 4 - 2)*(2*n - 2*n + 2*n**2))*(3*n**2 - n**2 - 3*n**2).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 151*g + 456. Let n be m(-3). Solve n*z + 11 = v, 16*v - 21*v = -z - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2038 + 297*t**2 + 289*t**2 - 862*t**2 + 1058 + 1044*t + 280*t**2.\nAnswer: 4*(t + 3)*(t + 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 170?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.4 - -0.4. Suppose 15 = 2*z + 5. Which is the third biggest value? (a) 2\/5 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3173 (base 11) to base 9\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {j: 1, a: 1, g: 1, r: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 330040786?\nAnswer: 330040785.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 366 = 18*y - 246 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2828 divided by 7.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 4*c + 1. Let s be v(-3). Suppose -77*i + 26*i = 102. Put -1, i, s in descending order.\nAnswer: -1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/24 + p**2. Let s(n) = -n + 1. Let c(l) = -l**2 + 6*l - 6. Let b(v) = c(v) + 6*s(v). Calculate b(k(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118180 and 9497720.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 - 896 = -4*f + 4*l, 0 = 5*f + 3*l - 394. Calculate the remainder when 722 is divided by f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1777 + 48059\/71080. What is the common denominator of 7\/305 and a?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 + 11*m**2 + 4*m - 7. Let t(h) = -2*h**3 + h**2 + h - 1. Calculate -n(x) + 3*t(x).\nAnswer: -3*x**3 - 8*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -9*n - 90. Put n, 0, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - b + 14254 - 14277 = 0, 0 = z + b + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -310\/37, -3, -4.5.\nAnswer: -310\/37, -4.5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 144970?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0.04, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*39.9132.\nAnswer: -3.99132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1583 + 34825\/22. What is the fourth biggest value in 2, 0.7, c, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5709*b**2 + 5499*b + 2. Let n(g) = 17130*g**2 - 16498*g - 7. Let l(c) = -2*n(c) - 7*x(c). What is the second derivative of l(h) wrt h?\nAnswer: 11406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose 0 = -5*r, 2*r = -0*k + 2*k - 4. Solve -n - k + 0 = f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18168 divided by 6318\nAnswer: 3028\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, 9 in decreasing order.\nAnswer: 9, 8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -16*j. Let o(h) be the second derivative of 1\/3*h**3 + 2*h - 1\/6*h**4 + j + 0*h**2. Find the second derivative of o(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(6\/11)*g**(-8)*g**(-8)\/g**(-9) assuming g is positive.\nAnswer: g**(-71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5743 + -5645. What is the greatest common divisor of c and 10094?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 369, 566, 763, 960?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a - 4. Let u be g(3). Suppose -25 = u*s + 8. Let v be (-5 - 20\/(-5)) + s. What is the smallest value in 5, 13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*m = -24, 3*m - m + 12 = 2*v. Let u(a) = 2*a - v*a + 3*a**2 - 2*a**2. Let z(w) = -2*w**2. Give z(u(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-490)\/4200*352\/3388?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/4 - 22*g**3\/3 + 9*g**2 + 42*g - 10709. What is a(21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495668 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6587135 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99)*-2 + 3)) + (sqrt(99) - (sqrt(99) - (0 + sqrt(99)))*2) + -2)**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015643 rounded to six decimal places?\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11844 times 2?\nAnswer: -23688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(900)*2 + sqrt(900)))\/(5*(sqrt(5) + (sqrt(720)*-2 - sqrt(720)))) + 3.\nAnswer: 72*sqrt(5)\/175 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 + (-126)\/(-6). Let w = f - -23. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*z = -0*z + 15, 4*i - z = -12. Let a be i\/12 - 34\/(-8). Let x = a - -2. What is the highest common divisor of x and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 21*b**5\/5 - 39*b**4 + 14*b**3 + 78*b**2 - 63*b - 888. Let x(v) = 0. What is v?\nAnswer: -1, 3\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10471, 10469, 10465, 10459?\nAnswer: 10451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001432911791 rounded to six dps?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + -4 + 13 - (-19 - 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 1029*r**4\/4 + 479*r + 256. Differentiate i(z) wrt z.\nAnswer: 3087*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24381?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, f: 11, i: 1, a: 4}. What is prob of sequence fatt?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 47 = -3*p + 58, 15 = 3*p. Suppose 0 = -l - g + 85, 607*l + 3*g - 345 = 603*l. Calculate the highest common divisor of l and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - 19. What is the remainder when 71 is divided by a\/3*162\/(-189)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1002246 and 175320?\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 208. Suppose 5*f - r = 65. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332 + 346. Suppose -c*k + 26*k = 6780. List the prime factors of k.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 215*b**3 - 217*b**3 + 7 + 4*b in the form s + j*b**3 + o*b + q*b**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96717 and 1565.\nAnswer: 483585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 - 246. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 q when four letters picked without replacement from {q: 5, f: 4, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/3165 and -79\/25320.\nAnswer: 25320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1766 + 211909\/120. Calculate the common denominator of d and ((-70)\/945)\/(20\/(-12))*411\/(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10768976 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011984 + -0.6.\nAnswer: -0.588016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.701229nm?\nAnswer: 0.000000006701229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -160854*k + 2884. Let w be g(-4). What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -7, -1, -2.\nAnswer: -7, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 1 - 1)*(2*p + p + 0*p) - 5*p**2 + 2*p**2 + 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 - 2*r**2)*(56*r + 15*r - 29*r) - r - 2*r**3 + 0*r + 2*r.\nAnswer: 40*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*5 - -2) + 0. Let v(d) = -2*d. Let b(f) = f. Give o*b(t) - 5*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1222.226 + 1230. What is q rounded to one decimal place?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94052772?\nAnswer: 2, 3, 11, 17, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101139 - 205639 = 4781*q + 1309*q + 570182 for q.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 1. Let d be 18\/(-10) + (-2)\/10. Let o be (-35)\/10 - (-2)\/(-4). Let r = o - d. What is j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82831\/22 - 3766. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5382 + -5368. Solve -3*n - 3*r = -12, 2 = -3*r + g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*b**2 + 16*b**2 + 106*b**2.\nAnswer: 224*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4808818, -4808843, -4808868, -4808893, -4808918?\n\"Answer: -25*z - 4808793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 8. Let b be i(-10). Let j(f) = -7*f. Let u(v) = -v. Let a(o) = b*j(o) - 18*u(o). Let l(w) = 8*w**2. Determine a(l(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 6 - -17 - (-2 + 6). Let i = d + -12. Solve -i*g = -2*f - 7, 3*g + 3 = 4*g - 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**3 - 6*h**2 + 13*h - 1. Let c(j) = 11*j**3 + 17*j**2 - 36*j + 4. Let d(l) = 3*c(l) + 8*q(l). What is d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18 and -36\/23?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*u + 37 - 143*u + 1 to n*u + q and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 36. Let m = g - -6. Calculate the remainder when 35 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19232 by 32.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -157455 divided by -215\nAnswer: 31491\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 8.5364245?\nAnswer: 6.5364245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 11*g**2 + 21*g + 11. Calculate v(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 11*p**2 - 10*p + 9. Let h be w(10). Suppose 0 = 4*v + 5*f - 59, h = -3*f + 6*f. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.09 + -2.91. Which is the nearest to -0.1? (a) -0.2 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0285 times 5164?\nAnswer: -147.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 92*i + 29*i + 4*i. Let u(l) be the second derivative of l**4\/12 - l - 156. Determine u(v(h)).\nAnswer: 15625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.005 (b) -33 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5135*c - 1667 = -4929*c + 9892*c + 53 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 1. Is r <= -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 10*o - 108 = 0, 3*k + 2*o + 30 = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**4 + 0*y**5 + 2*y**6 + 0*y**2 - 2 + 1\/3*y**3 + 0*y. Find the third derivative of n(a) wrt a.\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/174 and 103\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*n = 166*n + 132. Suppose -26*j = -n*j + 3294. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigifgangiinigig. Give prob of picking 1 n and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 + 12*z**4 - 12*z**3 + 4*z**2.\nAnswer: -4*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t - 12*t - 11*t + 35*t + 524. Is 25 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 37. Let b be -2*102\/24*(0 + 2). Let i = b + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 2*x**2 - 3*x - 2. Let r = -813 - -810. Determine m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 - 17 + 8 + (-2 - 1 + 1)*(2 - 2 - 1))*(-80*p + 33*p**5 + 80*p).\nAnswer: -3399*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.05105 to 1 decimal place.\nAnswer: -18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 10*k**3 - k**3)*(4 + k - 4) + k**4 + 3*k**4 - k**4 + (2*k - 2*k**3 - 2*k)*(-5*k + 7*k + 2*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 9 + 15*d**2 - 14*d**2 + d + d. Let c = -10 + 3. Let y be z(c). What is the highest common divisor of 48 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -110000010000011100011?\nAnswer: -110000010000011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 7*s - 1. Let f be u(-4). Let j(w) = -w**2 + 6*w - 6. Let l be j(6). Let g = f + l. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 50 - 30 = 5*y, y = -3. Let v be (-2)\/s + 1000\/260. Solve 0 = 2*r - v*f, 2*r = f - 1 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 125, 126?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 49*q - 14*q + 59*q)*(2 - 2 + q**2) as t*q + k*q**2 + h*q**3 + m and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 10. Is k(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from knzqqnrzinkqzqzknz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7620 - -9212588\/1209. Is 0 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 761 + 758 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 105465 + 105469 - 210941 - 22*r**2. Let t(o) = 19*o. Give i(t(y)).\nAnswer: -7942*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 20*d**2 + 16*d + 10. Let p be s(20). Let u = -226 + p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221020221112110 - 0?\nAnswer: -10221020221112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/r**12)\/r)*r*r**15)**30\/((r*r**(-1))**(-5\/2))**44 assuming r is positive.\nAnswer: r**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65562 (base 7) to base 10.\nAnswer: 16410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/20 + -25 + 142821\/5670. Let t = -12 - 2. What is the second biggest value in t, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = c - 14, 0*c = 2*z - 3*c - 6. Let b be 16\/220*15\/z. Let k be (2 + (-3)\/2)\/5. What is the second biggest value in k, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-45) - ((-56)\/(-7) - 210\/25). Let i = -0.8 - -1.1. Sort 2\/7, i, 6, s in increasing order.\nAnswer: s, 2\/7, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 8*k + 312. Let a be z(-22). Sort 0, a, 122, -4 in increasing order.\nAnswer: -4, 0, a, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119840 and 688?\nAnswer: 5153120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35\/120*-3)\/(10\/1720)*-2. What is the highest common divisor of s and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = 2*l. Let c = 12 - l. Solve 3*h + 1 = c*y - 2, 2*h = -y + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 4, s: 2, o: 1, v: 2, f: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -332533024 to the nearest 100000.\nAnswer: -332500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 513, 4, 0, -3, -4, 5, 144.\nAnswer: -4, -3, 0, 4, 5, 144, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21634 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2591 and 2.\nAnswer: 1.7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.770110794 - 0.1.\nAnswer: -19.870110794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + -10?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -18*m - 15. Let a(k) = -5*k**2. Calculate a(s(d)).\nAnswer: -1620*d**2 - 2700*d - 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-8) + 595\/580)\/6. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14. Suppose 3*d - 4 = 4*u, -5*d - 4*u - 9 = 27. Put -2\/7, q, d in decreasing order.\nAnswer: -2\/7, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60990 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1229338 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746731086 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(-2*sqrt(7)) + -3)**2.\nAnswer: 3*sqrt(5) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 722000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 20\/(2 - -3). Solve g = i + 9 - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/63*0)\/4*(1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.67837067 and 0.6988.\nAnswer: 0.02042933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) + sqrt(150)*2 - sqrt(150)) + sqrt(150) + sqrt(150) - sqrt(150))\/sqrt(2) - (sqrt(3) + sqrt(27) + -1 - (1 + 1*sqrt(3) + sqrt(3))))**2.\nAnswer: 52*sqrt(3) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/4 - 3*l**4\/4 - 17*l**3\/3 - 4*l**2 - 6*l + 3. List the prime factors of n(-6).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**7\/525 - 3*f**6\/100 - 9*f**5\/50 - 9*f**4\/20 - 3*f**2. Factor w(d).\nAnswer: -2*d*(d + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6894\/383 - 176439\/9460. Let h = 1589\/2398110 + 1\/2535. Let r = h + z. Calculate the common denominator of -31\/8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100935 by -3.\nAnswer: -33645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 353\/5. What is the closest to -2\/5 in 0.2, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y - 2416 - 2414 + 4845 to the form u + w*y and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1050 - 1045. Let z = -7 + 13. Solve -b*t + 4*t + 4*m - z = 0, 3*t = 3*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-83)\/(-9) + 4\/(-18). Let v = -2 + 6. Suppose -v*h = -o - 19. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222 = 451*r - 940 - 5054 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -95100.\nAnswer: 95099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0 + 0*r**3 - 2*r**2 + 1\/6*r**4 + 0*r. Let v(c) = 2*c. Determine x(v(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 5:39 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 89*z**5\/20 + 98*z**4\/3 - 70*z - 4. Find the third derivative of g(v) wrt v.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 - 10.26.\nAnswer: 189.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/7 + 13227*i\/7 - 823918\/7 = 0. Calculate i.\nAnswer: -13289, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w - 7*w + 2 - 11*w - 4*w - 16*w.\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -b - 4*m, 0 = -2*b - m - 2 - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 - 4 = 0. What is the third smallest value in i, -1, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14908.97*-0.5\nAnswer: 7454.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194681256 divided by 24?\nAnswer: 8111719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*d = 39, 4*h + 65*d = 81*d - 25*d + 59 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/5 and 26\/40035?\nAnswer: 40035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*u - 40 = 0, 5*f - u - 20 = -0*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -5, 5, 3 in increasing order.\nAnswer: -7, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*r**3 - 7688*r**2 - 6*r + 31947?\nAnswer: -96*r - 15376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-64))\/(285\/(-41040))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(12 + 7 + 1)*(-4*u + u**2 + 4*u).\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*i + 38, 22 = 3*x + i - 2*i. Let l be (3\/x)\/(1\/80). Let a be l\/12 + 6\/(-18). Solve u = -a*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 62 = 850. Calculate the remainder when 1855 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56121?\nAnswer: 3, 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 25*d = -15*d - 4*o - 95, -4*o + 7 = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, h: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k + 2 - 2 + (-k - k + 0*k)*(-3 + 2 - 1) + 4*k - 5*k - 2*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2028*k*y**2 + 5*k*y + 46*k + 4*y**2 + 4*y wrt y?\nAnswer: -4056*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -691?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 697 + -699. What is the closest to -1 in 4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = -2*u, 2*u - 2*w - 1 - 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17*z**2 + 21*z - 455. Is k(-54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2784, 99, 5 in descending order.\nAnswer: 99, 5, -1, -2784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 5 (c) 1\/4 (d) 4\/7 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 7*b - 5. Let r be x(0). Suppose 0*m - 2*m + 6 = 0. Sort 73, r, m in ascending order.\nAnswer: r, m, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22968848 and 4144.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/3430 and -97\/126.\nAnswer: 30870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17489.1 + 15840. Let v = o - -1357. Round v to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*x**4 - 414*x**2 + 888*x**2 - 1 + 1 - 4212*x - 463*x**2 - 2*x**5 wrt x?\nAnswer: -40*x**3 - 780*x**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*p - 3878*p**2 - 24*p + 3863*p**2 to the form r + z*p + w*p**2 and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*h - 145 + 41 - 224 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = -0*b. Let n(r) be the third derivative of 2*r**2 + 0 - 1\/6*r**3 + 0*r - 1\/24*r**b. Calculate n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230320 - 1001?\nAnswer: -231321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 378 - -294?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 10. Let t be j(7). Let k be (-1)\/(-3)*t*-9. Solve -c - 7 = 4*p, -p + 0*p = 3*c - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.006 in -2, -4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93206025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18869771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-18)*1 + 3. Which is the biggest value? (a) -2 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqxx. Give prob of sequence qx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12414 by -12414.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -5*k - 228. Let h = 0 - -2. Put h, -6, k, 4 in ascending order.\nAnswer: -6, k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 13*o + 8. Sort 5, 2, o.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**2. Let q(h) = 183*h. What is q(w(m))?\nAnswer: 2562*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -23. Let n = j + -5\/2. Determine y, given that 1\/4 + 1\/4*y**4 + 0*y + 0*y**3 - n*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243)*1 - sqrt(243))**2 - (-3 + (2*sqrt(243) - sqrt(243)))**2 - (-3 + -1*(sqrt(192) + -1 + sqrt(192)))**2.\nAnswer: -1024 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 less than -0.0974311?\nAnswer: -611.0974311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 49. Let x be o(0). Suppose -555*k + 9124 = -2531. What is the highest common factor of k and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 119*x - 225 = 235 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.66 (b) 0.04 (c) 160\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.014 - -0.097. Let x = 170468 - 170468.083029. Let w = x + j. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 1\/2*o**2 + 3400\/3*o**3 + 2 + 5*o. Let a be r(-5). What is a rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 150012501 and -24835.\nAnswer: 149987666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2)*(-50)\/(-2100).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 4*m + 220, 4*m - 110 = -2*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -11, -3, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b - 81 + 81 + b. Let r(k) = -8*k**2 - 3. Give m(r(h)).\nAnswer: -8*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656 and 229928.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*n**3 + 1195*n**2?\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -125162*0.4\nAnswer: -50064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + j - 172 = 0, 2*j + 846 = -5*a. Let p be 22\/55 + 63\/a. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhhxnhnannjxhht. Give prob of picking 1 x and 1 n.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, -8, 4.\nAnswer: -8, -9\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/50*30\/4. What is the common denominator of 2\/y*54\/(-480) and 85\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -211 + 155. Suppose 2*q + 10 = 7*q. Suppose h*x = q*x + 12. Solve 2*v + 4*z + x = 0, -3*v + 2*v - 1 = 4*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35866967 < -35866967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1181 + 1637. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 + 4. Let g(p) = -1. Let r(l) = 2*l - 1. Let j(m) = g(m) - r(m). Determine o(j(v)).\nAnswer: 40*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 30 = -70 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -297*q**3 + 5*q**2 - q - 9. Let x be c(-3). Suppose 0 = -4*g + 10*g - x. What is the derivative of 1343*d + 37 - g*d - 29*d**2 wrt d?\nAnswer: -58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**2 - 4*y - 6*y**2 - 2*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 84 = 13*p. Suppose -5*u + 0*u = -2640. Suppose -p*v - 2*v + u = 0. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -7?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 9. Suppose 2*n + 5*k = -33, 2*n - 2*k = -70 + 16. What is the remainder when 129 is divided by b(n)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 84*d**2 - 86*d + 71. Determine h(43).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.823095 - -23.\nAnswer: 23.823095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 497 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -567 divided by 189\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 - 635*p + 640 = 0.\nAnswer: -128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41766, -166976, -375658, -667812, -1043438, -1502536?\nAnswer: -2045106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5902 is divided by 314.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 260*t**2 + 2432*t + 5936 = 0. What is t?\nAnswer: -2, 14, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 7 = j. Sort 1, -2, j, 5 in increasing order.\nAnswer: -2, 1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let v(u) = 9*u**2. Let w be v(1). Let y = -5 + w. Let h be i(y). Solve q + 7 = j - 2*q, h*q + 27 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98300.\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6378*z**2 - 12759*z + 6.\nAnswer: 3*(z - 2)*(2126*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108094 (base 15) in base 3?\nAnswer: 1110221220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/11628*-57)\/(1\/(15\/(-1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11586 - -11655. Solve 47 = -11*l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 42*c - 241. Let a be h(7). Solve -a*t = 4*i + 28, -t - 10 = 4*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -894 times -1.9?\nAnswer: 1698.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 u when four letters picked without replacement from dtuutududddddtddt.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -3\/7 (c) 1 (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4*v + 177869546*h**3*v**3 + 9481*h*v + 3*h - 2791*v**3 wrt h?\nAnswer: 24*h**2*v + 1067217276*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4242 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.1 - -61.4. Let y = l + -18.3073. What is y rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, c: 11, o: 4}. Give prob of picking 1 a and 2 c.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**2 - 1. Suppose 2*d + 1 = -1. Calculate the remainder when 27 is divided by h(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 + 775. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9290 (base 11) to base 14.\nAnswer: -41bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5002121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106cb1a + -91?\nAnswer: 106ca59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - n - 24, 5*n - 18 = 5*p - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1647049 by 2.\nAnswer: -1647049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494877709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let z(f) = f**2 + 58*f - 36. Give v(z(q)).\nAnswer: -2*q**2 - 116*q + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -33. Let r = -6 - p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -125. Let q = 13.0255 + h. Round q to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 62 - ((2 - 0) + 3 + 3)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-49)\/(-14))\/((-1)\/108). Let g = 144 - m. Suppose 308 = 5*z - g. List the prime factors of z.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 9. Let h be v(19). Suppose h*z - 130 = 5*z. Is z at least as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*1517.1\nAnswer: 3641.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 6*s**2 + 6*s + 7. Let t be v(-6). What is the remainder when t*(2\/2 + -2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - q**4 - 4 + 0*q**2 + 0*q**2 + q**4 + (-4*q + 2*q + q)*(2*q**3 - 4*q**3 - 3*q**3) + 0*q**4 - 3*q**4 + 0*q**4 - 7 + q**3 - q**4 + 7.\nAnswer: q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:59 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 870134843*t**6 - 285*t**2 - 7903*t + 6?\nAnswer: 104416181160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18 = -22. Suppose y*w - 22 = 26. What is the greatest common factor of w and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -13. Suppose t*k - 5*k + 7 = -u, 5*k - 3*u = 17. Let j be k\/(-1) - (-7 + -2). Solve -3*i = -7 - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 312*u**3 - 105*u**3 - 102*u**3 - 104*u**3 - 1557 to p*u + j*u**3 + h + r*u**2 and give h.\nAnswer: -1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9002 = -2*j, 3*g - 496 = -j + 6254. Suppose -2*o + g = 579. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 6. Let p be c(6). Suppose y + y - p = 0. Suppose 3*a - 3*z = y, -3*z - 18 - 2 = -5*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31 - 66) + 20 - (2 + -8)) + -11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3759929 and 0.007.\nAnswer: 26319.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67359 times 1.1?\nAnswer: 74094.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 6*x + 12. Let t be k(-8). Is (t - 55\/(-10))\/(3\/1402) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7*s = 2*s - 929, 5*g - 5*s = 4665. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 21 = 14. Let f(c) = 1 - 3*c**3 + 4*c**3 + 7*c + 8*c**2 - 6 + 0*c**3. Let i be f(-7). Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from vvggkgg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1336 + 481. Calculate the highest common divisor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 63, 43934 in increasing order.\nAnswer: 1\/2, 63, 43934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25 + -5)*(-8)\/(-5). Let q = -45 - y. Suppose 0 = -q*p + p + 64. Solve -2*t + a + 3 = 0, -4*t + 5*a = -p + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 - 1170508*j**3 - 5852608*j**2 - 9364208*j - 4682112 = 0.\nAnswer: -2, -1, 292632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 145. Give a(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -145, -293, -427, -547, -653?\n\"Answer: 7*u**2 - 169*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(14)\/sqrt(112) - (sqrt(154)\/(2*sqrt(11)))\/sqrt(7)) + -5)**2.\nAnswer: 3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccgzgtgxgcxggzog. Give prob of sequence xcz.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**2)\/(a**(-2\/7)\/a))\/(a**8*a*a**(5\/3)*a))\/((a*a**(-1\/12))\/(a*(((a*a*a**(1\/21))\/a*a)\/a)\/a))**(-1\/33) assuming a is positive.\nAnswer: a**(-1861\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2008*s + 2010*s - 62 = 0. Let g(q) = -q**3 + 31*q**2 + q - 22. What is g(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose r*z - 13 = 3*z. Let x be z\/2 - 2\/(-4). Which is the second smallest value? (a) x (b) 0.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 2\/7, -2.95, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87883\/9 - -9765. What is the nearest to -1\/4 in r, -8, -3, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*5\/(-2) + -126 + 139. Suppose -2 = 5*f + t, 4*h - f = 74. Calculate the remainder when 229 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 8*n + 8*n + 17*n.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*a - 5*g - 11, 3*g + 15 = -2*a. Let b(i) be the first derivative of 2\/5*i**5 + 2*i**a - 8 + 0*i - i**2 - 3\/2*i**4. Suppose b(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -1 + 4 - (-2410 - -2375)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*w, 20 = 4*g - 0*w - 2*w. Suppose -g*p = -3*p. Solve 0*r - r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116550 and 5757570?\nAnswer: 28787850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 (base 16) in base 15?\nAnswer: ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264330 and 8370?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 660 = -7*v. Let d = -18 - -6. Let w be d\/((-2 - -1)*1). Calculate the highest common factor of v and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 7:06 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8637*s + 11497*s + 11314*s + 1 as k*s + y and give k.\nAnswer: 14174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -5608137?\nAnswer: 241149891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dyoocdccocodo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/((-380)\/16))\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = -3. Let g(b) = 2*b**3 + 2*b**2 - 137*b + 402. Calculate the remainder when g(3) is divided by 66\/(-9)*p*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 54*j + 274 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 9:35 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -55 (b) 5 (c) -208 (d) -1\/9 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 226482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 81*(-280)\/185220*49\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -114*h - 155 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*l - 7*l. Calculate the remainder when 4*-12*21\/(-14) is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzznziiiiqq. Give prob of picking 1 i, 1 z, and 1 q.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14155 and -0.3?\nAnswer: 4246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101a4 (base 14) to base 4.\nAnswer: 21131210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96614?\nAnswer: 2, 7, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + 7053.\nAnswer: 6954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672702 is divided by 405.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 43*k**2 - 8*k + 40. Let l(r) = 2*r**2 - r + 2. Give j(y) - 8*l(y).\nAnswer: 27*y**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8) - 3)*-6. Suppose -3*r + 8*r - q = 0. What is the second smallest value in -3, r, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -3)*(17 + 1). Let z = q + 51. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412353 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.4346 + -0.6346. Let n = 127920 - 127949.7793. Let w = n + d. Round w to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -114 (b) -2 (c) -41 (d) 1 (e) 0.3 (f) 3 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -69.0189. What is l rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b**2 + 14*b + 1. Let o(a) = -97*a - 2905. Let d be o(-30). What is f(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-5 - -13) - 8 - (99 - (-16 - -42)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 996871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 + x + 7. Let g(s) = -s**2. Let y(k) = 6*g(k) + v(k). Differentiate y(z) with respect to z.\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457276*b**3 - 2*b**2 + 5*b + 94540?\nAnswer: 2743656*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {t: 3, e: 3, u: 1, f: 1, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 10.2. Let c = r - -3. Let h = -5 - c. Put 4, -2, h in ascending order.\nAnswer: -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 833.3 - 833. What is the third biggest value in 0.1, 4\/11, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -571 + 772. Let m = w - 183. Suppose -2*t + 0*t + 11 = 5*v, 2*t - 21 = -3*v. Calculate the smallest common multiple of m and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-342)\/(-19))\/(4 + -3 - 8).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 1 - (-4 - 13). Suppose -8*d - 25 = -c*d. Let j = 9 + 5. Solve d*a + 6 = -j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/43? (a) 0.3 (b) -0.3 (c) 4 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3993 by 33.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507106 and 56?\nAnswer: 14198968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51959387659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 + 9*i**3\/5 - 14*i**2\/5.\nAnswer: -i**2*(i - 7)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n. Let x be k(6). Suppose -x = -2*u - u. Let m(d) = d**3 - 20*d**2 + 4*d - 52. Let v be m(20). What is the highest common factor of u and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 - 14*s. Let d(q) = -5*q**2 + 17*q - 1. Calculate -5*d(z) - 6*v(z).\nAnswer: z**2 - z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -40. Solve j*q = -3*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8811 + -16013212?\nAnswer: -16022023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 27 + 37)*(4*v + 0*v - 2*v)*(-7*v**2 - 12*v**2 - 4*v**2) as p + a*v**3 + h*v**2 + m*v and give a.\nAnswer: -3082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**2 - 23*v - 17. Let c(f) = -7*f**2 - 18*f - 11. Let l(s) = 7*c(s) - 5*j(s). Determine l(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011011110001 (base 2) to base 14\nAnswer: 38c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + b - 42. Let u be ((-8)\/b)\/((-24)\/(-36)). Let y(o) = -2 + 4*o**2 + o**3 - o**2 - 2*o**2. What is y(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4 + 3 + u**3 + 0 + 2*u**2 - 5*u**3. Let h be d(-1). Suppose 5*f = -4*z + 24, f + 0*f - h*z = -1. Solve 0 = -i + f, 4*w + 2 = 2*i - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1\/(-3)) - -9. Suppose -v + 0*v + w = 0. Solve -3*a - 12 = -v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 (base 11) in base 3?\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201 (base 4) to base 14.\nAnswer: -2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 2:29 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163883469?\nAnswer: 3, 54627823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 340, 662, 962, 1228, 1448, 1610?\n\"Answer: -2*x**3 + x**2 + 333*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Suppose -w - 4 = -l - 11, 0 = 3*w - l - 11. Factor 5*a**3 + 4 + 12*a - 30*a**w + 0 - a**o + 42*a**2.\nAnswer: 4*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1995 >= 2011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 287.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/1279 + -49983\/21743. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*b + 33*b + 13*b - 18)*(-3*b**2 + 3*b - 3*b).\nAnswer: -12*b**3 + 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 341162143 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2*(-6)\/1584) - (7 + -1). What is the greatest common factor of x and 623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 330?\nAnswer: -7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5. Let r be 3 + (-2)\/(6\/9). Let u be k(r). What is the common denominator of 61\/10 and u\/10 - (-16)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204947872 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 836 and 528.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Let h(f) = 13*f**2 - f + 2. Let i be h(7). Suppose -i = c*t - 3708. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 495. Suppose 0*g = 9*g - q. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20162946 and 2?\nAnswer: 20162946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30634617 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: Suppose 2 - 12 = -2*c - 2*r, 7 = -c + 3*r. Suppose -92*u + 20 = -91*u. Calculate the remainder when (1 - u)\/(-1 + 0) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.2436 centimeters in micrometers?\nAnswer: 9042436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q**3 + 7*q**3 - 11*q**3)*(0 - q + 0) + 3*q**4 + 2*q**4 - 3*q**4.\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 12*c**2 + 5*c + 15. Let n(w) = w**2 - w - 1. Let f(r) = m(r) + 4*n(r). Let b = 7 + -15. Let s be f(b). Solve -2*l - 5 - s = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -0.1, 3 in decreasing order.\nAnswer: 3, -0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8776, -8775, -8772, -8767, -8760?\n\"Answer: v**2 - 2*v - 8775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1\/((-1)\/28*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 57472 + 1643. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46839.22g to nanograms.\nAnswer: 46839220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, z: 3, o: 2, w: 2, m: 1, g: 3}. Give prob of sequence zk.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135888 and 30695184.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 77*g - 1020 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*-11 - -1. Let m be (-2)\/(3 + (-2)\/s). Let v = m - -27\/56. Which is the third smallest value? (a) 5 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2))\/(138\/(-720084)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 7 + 7)*((7*l + 2*l - 12*l)*(-2*l - 2*l + 6*l)*(0 - 5 - 3) + 80*l**2 - 73*l**2 - 56*l**2) to the form m*l**2 + j*l**3 + w + f*l and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 164\/12*201 + -3 + 5. Let y = d + -1953. List the prime factors of y.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 34 + 7*a + 71*a**2 - 7 - 3*a**2 + a. What is the tens digit of s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**4 - 12*w**3 - 16*w**2 + 12*w + 5. Let g(h) = -h**4 - 4*h**3 - 5*h**2 + 4*h + 2. Let u(c) = 14*g(c) - 4*t(c). Let u(i) = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*q**5 - q**4 - 319*q**3 + 30825*q**2 wrt q.\nAnswer: -2100*q**2 - 24*q - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Suppose -5*q - 3*f - 9 + 34 = 0, 2*q = f - 1. Let r(c) = 6*c. Give q*r(o) + 4*p(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1396, 2858, 4388, 5986, 7652?\n\"Answer: 34*n**2 + 1360*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + -2)*4 + -3 + ((-2*sqrt(441))\/sqrt(7) - (sqrt(63)*-2 + -2)).\nAnswer: -9 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1314, -7271, -17868, -33105, -52982, -77499?\n\"Answer: -2320*f**2 + 1003*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d. What is the lowest common multiple of n(-2) and (-18)\/(-60) - (-959)\/70?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1443 - 333 = 0. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*b**2*q**4 - 2*b**2 + 105112*b - 25485*q**4 + 6 wrt q?\nAnswer: 88*b**2*q**3 - 101940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2\/7*b**5 + 0 + 342\/7*b**3 + 118\/7*b**4 + 338\/7*b**2 + 16*b = 0.\nAnswer: -56, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*x = -30. Let d be (-8)\/x*20\/8. Suppose 5*a - d*y = 1251, -3*a = 5*y - 684 - 74. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 4*z + 1. Let k(o) = 3*o**2 + 4*o - 1. Let d be (-3)\/(-2)*(-8)\/(-3). Let b(q) = d*h(q) + 3*k(q). What is b(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 70*y - 432. What is the smallest common multiple of 387 and y?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + u**4 + u**4 + 6*u - 6*u - 26*u**4 + (15*u**2 - 25*u**2 + 11*u**2)*(-3 - 4*u**2 + 3))*(2 + 3 - u - u).\nAnswer: 56*u**5 - 140*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 243958488?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 390 + -382. Suppose -2*m = g - 4, 2*s - m - 1128 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 4*x**2 + 19*x**2 as q + d*x + j*x**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {s: 3, c: 1, l: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2457, 2479, 2517, 2571, 2641, 2727?\n\"Answer: 8*b**2 - 2*b + 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y - 57 - 28 + 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2131?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/30 + 5*q**2 - 106. Let g(r) = -r - 66. Determine g(k(a)).\nAnswer: -2*a**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-70)\/(-3) - (-1 - 91\/(-39)) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/24)\/(1\/(-30)). Suppose 6*f - 9*f + 30 = 0. Calculate the greatest common factor of d and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 3, e: 7, m: 7}. What is prob of sequence mxi?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 392123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26968690.8 microseconds to days.\nAnswer: 0.000312137625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*z + 6, 10 + 9 = -4175*c + 4171*c + 3*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w - 8*w - 989 = -3*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 - (-16 - ((14 - (4 + 3)) + 10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 23 = 3*f - 4*b, 0 = -5*f - 4*b + 83. What is the remainder when f is divided by (-2)\/(12\/(-9))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 78 - (-6 + 0 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -5, 0, -7, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41, -25 in increasing order.\nAnswer: -25, -5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:36 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1166.76129.\nAnswer: -4667.04516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -376 divided by 2\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 367501088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20624279 times 10\nAnswer: 206242790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*h + 2 + (-4 + 4 - h)*(-5 + 3 - 4) - 11*h + 19*h + 5*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3071911 - 4?\nAnswer: 3071908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*l - 5*l. Suppose -10 + 1 = -l*z. Solve -z = -3*h - 0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 0*p - 283 - 4*p**2 - 6*p + 2*p**2 to f*p**2 + j*p + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - 6*a. Let m be b(-3). Let o = m + 65. Suppose 5*y - 255 = -o. What is the greatest common divisor of y and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 474.2622.\nAnswer: -61.654086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -22 + 5 + 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.7 - -7. Let z be (6\/12)\/((-2054)\/(-2048) - 1). Let s = 171 - z. What is the third smallest value in k, s, -1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (-3*sqrt(72) - sqrt(72)) + sqrt(2) + (-4 + sqrt(6)\/sqrt(3) - sqrt(2))**2 + -5*sqrt(36)\/sqrt(2)*3)*-4.\nAnswer: -64 + 248*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*i**2 + 217*i**2 + 52*i**2 - 82*i**2 + 106*i**2 in the form d + c*i + o*i**2 and give o.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -363, -803, -1409, -2181?\n\"Answer: -83*y**2 - 25*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-4)\/136). Suppose -3*v = -87 - w. Calculate the remainder when v is divided by ((-8)\/16)\/((-3)\/102).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 2105041280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -84433?\nAnswer: 192\/84433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1586631 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -0*k + 18. Let f be 3 + 2 + (k - 1). Solve f*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcghnlgn. Give prob of sequence hn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/30 + v**5\/15 - 7*v**4\/24 + v**3\/3 - 1951*v**2. Let o(x) = -13*x**3 - 13*x**2 + 22*x - 7. Determine -2*o(a) - 7*y(a).\nAnswer: -2*a**3 - 2*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 - 382 + 124 + 3212*t + 5727*t + 129 in the form m*t + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -7*m + 1130000. What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -2, -3 in decreasing order.\nAnswer: 51, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(0*b + 6*b + 0*b)*(1 - 2 - 1) as a*b + j and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**2 + w + 0 - 1\/2*w**3.\nAnswer: -w*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410.92 - -411. Let f = 0.004 + 0.126. Let b = f - 0.05. Is b greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -123\/2*v**2 - 82*v - 50. What is the first derivative of t(r) wrt r?\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 1595\/49?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5826c (base 13) to base 4.\nAnswer: 213100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 3. Let z = 25 + -48. Let w = z + 32. Let u(s) = s**2 - 17*s - 13. Give w*c(o) + 2*u(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-12)\/(-9)*(0 - 33)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22191, -22200, -22209, -22218, -22227, -22236?\nAnswer: -22245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1047384 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j + 2*j**2 + 1\/2*j**3 + 0. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2796 and 2816 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2438\/53317 + -12\/1441. Which is the nearest to l? (a) -0.3 (b) 0.1 (c) 1\/7 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 50. Let m(i) = 11*i**2 - 3*i + 15. Let b(l) = -5*l**2 + 2*l - 7. Let d(u) = v*b(u) + 4*m(u). Let o be -1*(-4 + 1 + -1). Calculate d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17280\/(-28) + 3 - (-1)\/7. What is the remainder when u\/(-6) - 1 - 1\/3 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)*-2 - sqrt(440))\/sqrt(10))\/(sqrt(48)\/sqrt(48)) + -1)**2 - (4*1*sqrt(33))\/(sqrt(108) - -1*sqrt(108)).\nAnswer: 35*sqrt(11)\/3 + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxcxccxcxxcxcccxxc. Give prob of sequence cxx.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 153188.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j**3 + 7292*j**3 + 1957*j**3 - 1738*j**3 + 12943*j**3.\nAnswer: 20542*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2002 + 6612 = 5*c, 3*z + 3685 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + 2*t - 3. Let o be m(-4). Let b be 0 + 8 - 15\/o. Suppose 13*j + b = 14*j. Sort j, 2, -5 in decreasing order.\nAnswer: j, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/2237648 and 69\/3076766?\nAnswer: 24614128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 13b?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2 + 3*z. Let g(v) = 630*v**2 - 112*v. Give 3*g(s) + 112*m(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 1 g when three letters picked without replacement from {g: 4, q: 2, a: 10, f: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1417*t + 11331. Determine a(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/6 + n**3\/3 + 7*n**2\/6 + 2*n\/3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 18252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -2 - 23*-1. Let f(d) = 94*d + 12154. Let u be f(-129). Calculate the highest common factor of o and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -0*v. Suppose 3*z - v = 4*g, 5 = 4*g + z + 4*z. Solve 19 = -5*i - g*i + 2*r, 2*i + 2*r = -16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4956665.\nAnswer: 5, 7, 141619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98 + 0.02. Let l = 1 - 0.5. Which is the biggest value? (a) l (b) p (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(38)\/sqrt(2) - 6*sqrt(171))*3.\nAnswer: -204*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -46. Which is the fourth smallest value? (a) -1\/5 (b) r (c) 3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28504 - 29092?\nAnswer: -29092.28504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v + d, -3*d + 63 = -v + 47 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-10)\/6)*-6. Let o(d) = -r*d**2 + 6*d**2 - 5*d**2. Let j(w) be the second derivative of w**4\/6 - 2*w. Determine j(o(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 79 times 971332\nAnswer: 76735228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1286 and (-4)\/38 + (2522\/(-38))\/(-13).\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 + 2*l + 3. Let y be n(-2). Suppose 5 + y = 4*s. Calculate the least common multiple of 2 and s\/(-15) + 42\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 49, 88, 145, 226, 337, 484?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 19*z = 4. Suppose 5*l - z*v - 46 = 0, l + 2*v - 5 = -3. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*d**2 - 1146*d**2 + 573*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f = -160. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*c**2 - 17*c**3 - 32*c**2)*(9*c - 5*c - 29*c + (-3*c + 2*c + 2*c)*(-1 - 2 + 2)) to k*c**3 + u + b*c**4 + p*c + q*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2 - 3. Suppose x*l = 3*l + 6. Let f(s) = l*s**2 - 5*s - 2*s - 3*s**2 + s**2 + 3. Determine f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, 3, -81 in descending order.\nAnswer: 3, 1, 0, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 32*i + 292. What is the least common multiple of 216 and n(-22)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.342339ng in tonnes?\nAnswer: 0.000000000000004342339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 + c + 2. Let d be z(3). Suppose -2 = -26*x - 2. Sort d, x, -4 in ascending order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12073*t + 65644.\nAnswer: -12073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 4 - 2 - 8*d**2 + 13*d - 14. Let a be g(4). Solve q - 4*q = 5*x, -x - 2*q = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v = 0. Let d = 18 + v. Suppose 0 = -t - 5*t + d. Solve t - 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 + -176. Calculate the remainder when b is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 3*v, -3*w + 2*w + 5*v + 3 = 0. Solve -1 + w = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 20428*k.\nAnswer: 4*k*(k + 5107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150 and 2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 19 = 5*w, 5*c = c - w + 19. Suppose c*d = 5*a + 30, -3*a - a - 3 = d. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 105243055.\nAnswer: 1894374990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 1, b: 6, s: 4, j: 3}. Give prob of sequence ssgj.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 13 = 12*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Suppose 10*g = l*g + 250. Suppose 165 = g*f - 47*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*b - 36*b + 33*b - 2)*(14 + 8 - 3) to p + c*b and give c.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 38*h - 212. Let c = 23.9 - 25. What is the second biggest value in c, -2, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -336555060 + 3?\nAnswer: -336555054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -4*r**3\/3 + 2729. Let f(h) = -1265*h. Give f(c(s)).\nAnswer: 5060*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + 2*x + 4. Let p be b(0). Suppose -14900530 = p*y + 92299470. Round y to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(2))*3 - (sqrt(100)\/sqrt(2))**2) + -2*sqrt(2)*-6 + 0.\nAnswer: -48 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*u**2 - 4369*c**3 - 1944*c**2*u**2 wrt u.\nAnswer: 2*c**3*u - 3888*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 14*u + 30. Let i be ((-60)\/5 + -1)*-1. Let l be f(i). Solve -6 = -2*v + 4*r, -3*v - 2*v + 2*r - l = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.14 - 0.14. Let i be 5\/2*2\/1. Suppose -2*c - 4*u = 0, -i*c + 5*u + 24 = -6. What is the third smallest value in d, 0.2, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*c = 23, 4 - 25 = 5*f - 3*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (0 - -4))\/(-2). Let y = n + 63. Calculate the remainder when (-1)\/2*(-9)\/(y\/644) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -55, -57, -59, -61, -63?\n\"Answer: -2*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (810\/(-72))\/(-9)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 59. Let i = -122.271 + o. Round i to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - -4.43. Let x = 35.12 - 32.12. What is the second smallest value in 1, 1\/4, x, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from {s: 1, f: 1, c: 2, u: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2104*c**2*y**2 - 7*c**2*y + 3*c**2 + 70*c*y - 5*y**2 + 2*y wrt y.\nAnswer: 4208*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 219439.3l in millilitres?\nAnswer: 219439300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+-379\nAnswer: -380.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*z + 105*c**3 + 18*c**2 + 727*c*z + 2*c wrt c.\nAnswer: -6*c*z + 630*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 174 = -15*g. What is the highest common factor of 132 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 40*m**2 + 16*m + 4. Let r be y(-9). What is r rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 + 8*r + 10. Let g be j(8). Suppose -m = 3*x + x - 218, g = -5*m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -27*g + 2*n + 12, -2*g = 3*n - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/((sqrt(168)\/sqrt(6))\/sqrt(4)))**2 + (sqrt(432) - -6*sqrt(432)*-3)**2)*-2 + -4.\nAnswer: -249796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16120 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {v: 3, u: 4, e: 3, z: 7, x: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163762 (base 8) in base 9?\nAnswer: 100405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 36328*r + 135*r**2 - 36328*r + (-4 + 5 - 3)*(6540*r - 6540*r + 184*r**2) in the form q + y*r**2 + z*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 496, 2171, 4956, 8845, 13832, 19911, 27076?\n\"Answer: -c**3 + 561*c**2 - c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -509.716 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -28. Let y be (-4)\/2 - (-42)\/h. What is the units digit of y\/(1 - -2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * 0.8.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 181236 divided by 33\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enwn when four letters picked without replacement from nnvewww.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -4 - (-6 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 105\/252*1\/(-3)*18\/(-15). Let l = -0.05 + 15.05. Which is the second smallest value? (a) -0.1 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/3 - 4717*i**2 + 322275*i - 952673\/3 = 0. Calculate i.\nAnswer: -14219, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1339 = -5929. Suppose 4*c - 518 + m = 0. Factor 1\/2*g**c - 1 - 1\/2*g.\nAnswer: (g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**2\/2 + 11*d\/2 + 1368.\nAnswer: -(d + 19)*(7*d - 144)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18359.6 times 4\nAnswer: 73438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z**2 - 28*z - 890. Give g(-17).\nAnswer: 3343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujwjjijjstttjsttisss. What is prob of picking 1 j and 1 t?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257947333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 754149.3 millennia?\nAnswer: 7541493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3920415 microseconds?\nAnswer: 0.0003920415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54538191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 5.8?\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1564 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q - 10 = 2*m, 2*m - 10 = -5*q. Let j = 0.082 - 0.682. Which is the second smallest value? (a) j (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1166 - 1132. Suppose -t*a + 39*a = 0. Factor -3\/4*d**4 + 1\/4*d**5 + 0 + a*d**2 + 0*d + 1\/2*d**3.\nAnswer: d**3*(d - 2)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -88*w. Let r(u) = -2*u. Give t(r(n)).\nAnswer: 176*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262696 is divided by 2476?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**5 + 21*t**4 - 15*t**3 - 213*t**2 + 120*t + 300 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 12*l + 5. What is f(7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u + 15*u**2 - 8*u + (2*u**2 + 2*u**2 - 6*u**2)*(2 - 3 + 3) - 1 - u**2 + 1 in the form p*u + o*u**2 + z and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398.5009 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/f*f**6)**(-46) assuming f is positive.\nAnswer: f**(-782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 32*b - 225. Calculate z(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67954.73 days?\nAnswer: 97854811.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -4.03. Let s = 0.05 - d. Let x be (-2)\/3*1\/2. What is the closest to x in s, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 49 + 783 = 0. Let w be (-2)\/5 - o\/(-65). Let m(f) = -8*f**2 + 15*f. Let d(l) = -2*l**2 + 4*l. What is w*m(v) - 22*d(v)?\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 7*t - 10. Let h be w(5). Suppose h = -79*a + 84*a - 500. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 358091*u + 1790442. What is a(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -572\/15*h**2 - 24\/5*h**3 - 722\/15 + 456\/5*h - 2\/15*h**4.\nAnswer: -2*(h - 1)**2*(h + 19)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/(0\/7 - (-1)\/3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1521371117 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - 0)\/3*-17 is divided by (-9)\/(-54) + 70\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3226 in 2, 0.2, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 7384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 108. Which is the nearest to s? (a) -1\/4 (b) -4 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32889231?\nAnswer: 3, 1741, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/2 - 19. Let z = 2598\/25 + -104. Let b = -8\/25 + z. Is t <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 2*w**2 + 4*w - 3. Let p be y(2). Let x = 34 - 32. Let s(i) = -8 + 3*i + 2*i**x + 3 + p. Determine s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in -2, 2, 11\/18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 4. Let k be i(3). Suppose 5*c - y + 523 = 0, k*c + 502 + 27 = 3*y. Is 42\/4*c\/(-39) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032322321 to the nearest ten thousand.\nAnswer: 1032320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 23*o + 35 = -73 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 + 5*p**4 + 12*p**4 + 2*p**4 + p**4 - p**4 - p**4 + 0*p**4 - p**4 + (-3*p + 3*p - 2*p)*(-p + p + 2*p**3) - 2*p**4 - p**4 + 4*p**4.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 28 = 3*u - 9, 5*t - 27 = -u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.3 + 96.6. What is i rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 3*d)*(-73 - 80 + 53).\nAnswer: -200*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*u + 15635 = 1383*u + 20106 + 156873 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3403882744 minus -0.2?\nAnswer: -3403882743.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 201, -97, 0 in decreasing order.\nAnswer: 201, 0, -35, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*g + 17 - 8, -3*g + 2*a - 4 = 0. Solve 0 = 5*s - g*k - 10, -5*s - k + 6*k - 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1\/8 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 7. Let r(y) = y**3 - 11*y**2 + 9*y + 7. Let t be r(10). Let p be a(t). Let z = p - -18. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216468211.\nAnswer: 216468211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129\/8 - -1303\/56. Factor -24\/7*f + 60\/7*f**3 + 22\/7*f**2 - a*f**4 - 8\/7.\nAnswer: -2*(f - 1)**2*(5*f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*x - 8, -5*c - 20 = 2*x + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + k + 7 = 0, -5*l + 15 = -k. Suppose l*g - 332 = -x - 2*x, -436 = -4*x - 4*g. Let t = 11 + x. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -32*n + 8. Let x be (-4)\/((-24)\/(-11523)) + 1\/n. Round x to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (17 - -6) + -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*d - 3*d - 23 = 0, 0 = 5*l - 2*d - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/9 + 4*d\/3 - 5. Factor l(h).\nAnswer: -(h - 2)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-79999)\/2. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 4:56 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = -3*o - 195. What are the prime factors of o?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251324946*g**4 - 100148957*g**2 wrt g.\nAnswer: 6031798704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53785050.\nAnswer: 2, 3, 5, 11, 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1 + 0)*-1 + -5.\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*y - 371*y + 89815 = 595*y for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 less than 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188.4595 + -0.1405. Let x = 33.6 + m. Let y = x - -155.000063. Round y to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5304 is divided by 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**2*z**2 - 2076444*a**2 + 122640*a*z**2 + 5*a*z wrt z?\nAnswer: -10*a**2*z + 245280*a*z + 5*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -310424000 rounded to the nearest one million?\nAnswer: -310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 5*f**6\/3 + 7*f**5 - 15*f**4\/2 - 35*f**3\/3 + 10*f**2 - 126. Suppose l(p) = 0. Calculate p.\nAnswer: -4, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3040 + 3046. Let l = -3 - -3.1. Which is the closest to l? (a) 2\/11 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3)*(-633*j + 216*j + 2554*j) in the form n*j + o and give n.\nAnswer: 6411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 243 = -3509. List the prime factors of s\/12 + (-3)\/(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 31*n**2 - 5411*n - 161489. Determine p(-30).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.49831 rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 28. Suppose 2*u + 60 = 5*u. What is the highest common factor of t and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + (-1*-3*sqrt(152) - sqrt(152)) - sqrt(152))*4)\/(sqrt(16)\/(4*3*sqrt(2))))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**3 - 6*q + 6. Let y(p) be the second derivative of 7*p**5\/20 + 5*p**3\/6 - 5*p**2\/2 - 2*p. Give -6*y(c) - 5*z(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 - 4*w - 12. Let o be d(5). Is (o\/10)\/((-9)\/45) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 + 0*w**4 - 1\/60*w**5 + 52*w**2 + 1\/40*w**6 + 0*w**3 + 0*w. Let c(o) = o**3 - o**2. What is -4*c(n) + 4*y(n)?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Suppose 0*l - 2*l - 2*b - 20 = 0, 0 = -4*l - 5*b - 41. Let w = l + 11. Let c(j) = 35 - 35 + 4*j**w. What is c(h(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 406957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 127572441.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004846346727 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 8. Suppose 12*m - 11*m - 13 = 0. Let h(g) = g**3 - 12*g**2 - 12*g - 18. Let z be h(m). Let w be c(z). Solve 1 = 3*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:19 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. Let u be 12\/(-4) - -5 - -3. Let k(g) = -g - 3. Give u*k(b) + 4*s(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11799995 + -3 + 12\/(-6). What is l rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 680709588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*1)\/(3\/2). Let d = 162 - 158. Let l(o) = o**3 - 6*o**2 + 7*o + 8. Let z be l(d). Solve 16 = -z*n, -f = c*n - 5*n - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*b - 25. Find q such that 22 + 36 - 22 - 24*q + 4*q**b = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x. Let h(r) = 15*r - 3*r - 9*r. Calculate h(i(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/13336325?\nAnswer: 1\/13336325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 8*s + 25. Let z be t(-6). Is -91 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*f + 763*f + 8579 + 3301 = 0 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l - 5*b, 2*b - 5 = -4*l + 3. Suppose -3*x + 3*s + 11 = 26, 2*s - 4 = 0. Suppose -2*a = -6*a. Sort a, l, x in increasing order.\nAnswer: x, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*u + 47 + 30 = 0, 9 = s - u. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80362*a - 154640.\nAnswer: -80362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 55054074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3 = -9 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-318)\/(-6) + (-1 + -2 - -2). Calculate the greatest common divisor of 572 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -771903 by -1017.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -8380882260\nAnswer: 8380882251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + w = -0*m + 153, 0 = -4*m + w + 159. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)*b)\/(b**(2\/85)*b*b)*(b*b**(-22)*b)\/b**(2\/85))**(-2\/115) assuming b is positive.\nAnswer: b**(5278\/9775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -5\/124722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 86*n**2 + 96*n**2)*(-1 + 1 + n) to the form k*n**2 + t + m*n + q*n**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s. Let f be m(-2). Let w = f + -1. Suppose j + j - 12 = 0. Solve -j = 3*h + w*u, -2*h + 0*u - 4 = -4*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302926 - 211641. Let r = f + -91284.947817. Let n = r - 0.0516. Round n to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w - 49. Let l be b(-5). Let h be (13 + -6)*3*l. What is the greatest common divisor of 42 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 32*p**2 + 1. Let n be o(-32). Let v be -2 + 68\/16 - 3. Which is the third biggest value? (a) -0.5 (b) -1\/4 (c) n (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**4 - 5539*m**3 - m - 186568?\nAnswer: 8*m**3 - 16617*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.1 - 32.1392423754?\nAnswer: -227.2392423754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2534226 - 1766275. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + 2.7. Let s(d) = 2*d**2 + 6*d - 8. Let l = 63 + -67. Let c be s(l). What is the nearest to 2\/3 in 1\/4, c, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 1953*u**2\/5 + 190515*u - 954529\/5.\nAnswer: (u - 1)*(u + 977)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 127, 176, 227, 280, 335, 392?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 17 + -3 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2726 or -2738?\nAnswer: -2738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 - 2*s - 3. Let o(n) = -n + 3. Let z be o(5). Let d be q(z). Let b be d\/((-6)\/(-2)) - -2. Let c(m) = -m + 1. What is c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83554 is divided by 983.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 23*d - 6 = 0. Suppose 5*u - 20 = -5*j, 5*j - 4*j = -5*u + 8. Solve -u + d = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/40)\/((-3)\/24)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (3 - 1) - 18\/(-90)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-13)\/h)**(-18\/11) assuming h is positive.\nAnswer: h**(234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -2 + (-4 - -30). Suppose -r - 127 = 4*l, -3*l - r = -2*l + f. Let g = -21 - l. Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8331.895 + -8376. Let v = -0.105 - f. Let z = v + -46. Which is the third biggest value? (a) 0.1 (b) 6\/7 (c) -3\/2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2. Let u be d(5). Let j(z) = -145 + z**2 + z - 415 + u*z**2. Let t be j(0). What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116664325\/2524 - -46222. Let z = h + 8185\/15144. Calculate the common denominator of z and -13\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15939.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10201465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16858300 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.36 - -1.64. Let s = l + -80.9999914. Round s to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 815751*h + 61 + 61.\nAnswer: -815751*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 2.94. Let p = z - 1. Let w be (-1)\/12*10*2. Sort p, w, -2\/19 in increasing order.\nAnswer: w, -2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1763055441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223113 - 302?\nAnswer: 222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyayyyyay. Give prob of picking 2 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1249 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -715?\nAnswer: -714.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3 and 15\/2596?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49655955 and 558?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000237743 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let u(h) = -1149*h. Give c(u(t)).\nAnswer: -2640402*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -726*z**2 - 888292 + 888292. Let c(u) = -2*u. Determine d(c(x)).\nAnswer: -2904*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420809699 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*(0 + -3). Suppose 0*w + y*w - 42 = 0. Let h(o) = -o**3 + 8*o**2 - o + 11. Let a be h(8). Solve -a*p + p - 3*q = -12, -5*p - 3*q = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 0)\/6 - (-129)\/6. Suppose 2*l + 2*i = 70, -5*l = -i - 2*i - 175. Calculate the highest common factor of l and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.4 - 0.6. Let g = r + 44. Which is the biggest value? (a) g (b) 4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(5\/(3 - -22)). What is the common denominator of -23\/5 and -21*(g\/8 + 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3) - 0)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 903*((-6)\/51 - 148\/(-102)). Suppose f*g - 2855 = 1199*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 25*z**6\/24 - 3*z**5\/2 - 11*z**4\/16 + z**3 + z**2\/2 - 2. Solve h(r) = 0 for r.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-l - 5*l + 4*l)*(16 + 1 - 5).\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.65 + 1.48. What is n rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 4*w - w)*(-2*w + 3 - 3) + (9 - 9 + 5*w)*(6*w - w - 3*w))*(0*w**3 + 4*w**3 - w**3).\nAnswer: 42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/2015802823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1908 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/519151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -30*k + 334. Let l(b) = b - 7. Let z(n) = h(n) + 10*l(n). Is 43 a factor of z(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300.63 + 300.13. Which is the nearest to j? (a) 2\/5 (b) -2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcwxl. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -3, 6, 0.1, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(288)*1)\/(sqrt(576) + sqrt(576) + (sqrt(576) - sqrt(576)*-2) + sqrt(576))*-2)**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830252973 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-32) + (-1)\/(-4). Let l be 3\/i - (-3 - -5). Which is the closest to -0.1? (a) 0.2 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 577796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 19 - 21. Let s(t) = 7*t**2 - 16*t + 2. Let x(k) = 6*k**2 - 15*k + 3. Let u(z) = 5*s(z) - 6*x(z). Let m be u(j). Solve -5*i - m = 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0 + 16\/3*v + 20\/3*v**2 + 4\/3*v**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14233, 14441, 14649, 14857?\n\"Answer: 208*g + 14025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + c + 151*c**3 + 38421 - 38418 - c.\nAnswer: 141*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3074, -3461, -3848, -4235, -4622, -5009?\nAnswer: -5396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115783 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59\/85 + -5\/17. Let h = -4661\/63 - -19\/126. Let p = 74 + h. Sort -2, i, p.\nAnswer: -2, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -160*m**3\/9 - 8536*m**2\/9 + 1876*m\/3 + 72 = 0.\nAnswer: -54, -1\/10, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3721566*d**2*v**3 - 49618*d**2 - 3*v**4 + 3767 wrt v?\nAnswer: 11164698*d**2*v**2 - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104)\/(-18) - (-2)\/9. Let b be 10*(60\/(-8) + 8). Does 20 divide 4\/b*(-15)\/w*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-24))\/(2\/(-9)). Let z = -4 - n. Let a = 1 - z. Solve 7 = -j - a*v, j + v + 8 = -2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = 2*d. Let l = d - -9. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(931) + (2*(sqrt(931) + sqrt(931) + 1) - sqrt(931)) + sqrt(931))*3 + -4)*-3)**2.\nAnswer: 94500*sqrt(19) + 47132775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 636*l - 31790. What is x(50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 3. Let i be f(3). Let s = -248 + 465. Let v = -212 + s. Sort -2, i, v in decreasing order.\nAnswer: i, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 222 = -3*k, -4*g - 317 = 5*k + 57. Let v = 11 + k. Let z = 226 + v. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {m: 1, n: 2, v: 1, u: 1, h: 1, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/21 + -8)\/((-8)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/((-2)\/(-4)). Suppose -c = -4 - p. What is the third derivative of 3*r**3 + 2*r**2 + r**3 - c*r**3 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11060 - 10702 - 13537 + 10370 - 2*r.\nAnswer: -2*r - 24929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/81*(-19233)\/10685.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 7 = 0. Let j = -2 + 2. Suppose 4 + j = s. Calculate the remainder when q is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 + 6.3. Let y = -1 - -3. Which is the third biggest value? (a) t (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 33*k**2 - 4*k + 1047. Give b(-34).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2762 - 49753\/18. What is the common denominator of k and (6 - (-598)\/117)*(-60)\/(-32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 3*d**4\/8 + 14*d**3 - 31*d**2 - d. What is the remainder when u(8) is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21142*u**2 - 10112*u**2 + 4697*u**2 + 1774*u**2 to the form n*u + b*u**2 + q and give b.\nAnswer: -24783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*x - 542*x = -351*x + 727*x + 61006 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, -1, 1\/6.\nAnswer: -18, -1, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 5.06\nAnswer: -15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147\/58 + 1\/29. Let n = 0.7 - 0.5. Let h = -0.055149 - 2.944851. Which is the closest to n? (a) v (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*h**3 + 72*h**3 - 158 + 108 wrt h.\nAnswer: 492*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -575, -1094, -1539, -1892, -2135, -2250, -2219?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 4, 0.07, -1311?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 5\/28 (c) -81231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 129, 522, 1177, 2094, 3273, 4714?\n\"Answer: 131*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, 2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6858 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 - -167. What is the second derivative of 0*r**2 - 20*r**2 + 32*r - 7 + 7 + 166*r**d wrt r?\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -11, -25, -43, -65, -91, -121?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**2\/2 - r + 2. Calculate m(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojobjoooojooojojd. What is prob of picking 1 d, 1 o, and 1 j?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((1\/(-3))\/(159\/(-477)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 61, 101, 177, 301?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/48)\/(6\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -33. Let t = i - -7. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 10. Let r be w(11). Let s be (r\/(-2))\/((-7)\/112). Let i = 14 - s. Calculate the lowest common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3810 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204.9999794 - -205. What is z rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-8\/3)*m)\/(m\/((m\/(m**(3\/22)\/m))\/m)) assuming m is positive.\nAnswer: m**(299\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456139766 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(2) + -1 + sqrt(2) + (sqrt(2)*-1)**2*5.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 254 * 1\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/3, -5, 30, -0.08?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161841346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:36 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*t - 20, 3*c + 5*t = 6*c - 25. Suppose 0*d - d = c. Let m be (-1)\/(-3) + (-2)\/(-48). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18624561 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*x - 92, 4*h + x - 111 = -4*x. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69806.72 days to microseconds.\nAnswer: 6031300608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*h + 3 = -0*h, -3*k + h = 5. Let u = k + 2. Let y be (-1)\/(15\/9 + -2). Solve a = -u - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1169, -119, -2 in decreasing order.\nAnswer: -2, -119, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430992707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559219 + 559219 - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81179224*p**3 + 84217993*p**2 wrt p?\nAnswer: -487075344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/11)*l)**(-21) assuming l is positive.\nAnswer: l**(-504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 26 = -17*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40682275021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let a = 1 - 2. Let k = 61\/128 - -3\/128. Put k, a, q in increasing order.\nAnswer: a, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1366179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let u(o) = -3*o - 3. Let i be u(d). Suppose 0 = -i*h - 2*h. Let f(q) = -q**2 - q - 1. What is f(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:01 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + s + 36 = -36 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*z + 2*p, -29 = 5*z + 3*p - 94. Suppose 3*g - 2 = z. Which is the third smallest value? (a) 2 (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49400 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -102592675.54 to the nearest 10000.\nAnswer: -102590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60968 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-91))\/((-1100)\/1050)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1 (c) -32 (d) -6\/101 (e) -4 (f) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1136 and -1.02019.\nAnswer: 1134.97981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.4 + -1.4. Let u = -100 - -90. Let l = y + u. Put 0.4, 0.2, l in decreasing order.\nAnswer: 0.4, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 158. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, -535, -769, -1003?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -22*d - 23*d + 46*d - 14*d. Let m(h) = -4*h**2 + 52. Determine z(m(n)).\nAnswer: 52*n**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -212.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74272 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 5 + 2*l**2 + l**2 - 2*l**3 + l**3. Let m be x(4). Solve -3*b + m*c - 3*c = 3, -b + c = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50781.\nAnswer: 3, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x - 2*x. Let l be 9\/1 - (0 - x). Suppose 0 = 11*a - l*a - 42. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110202 - 10212112?\nAnswer: -10101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553301879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b29a9 (base 12) to base 13.\nAnswer: -889215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 33*u**2 + 396*u + 1210. Determine s(-3).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -2*l**5\/5 + 5*l**3\/6 - 2*l. Find the second derivative of p(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -31*y**6\/120 + 7*y**5\/20 + 7*y**3\/6 - 4*y**2 + 29. Find the third derivative of k(x) wrt x.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 3. Let h be -4*((-3)\/6 - 0). Let q = h - -5. Let z be m(q). Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqm when three letters picked without replacement from {m: 10, s: 4, c: 3, q: 1, d: 1}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 335332698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 424206 != 427339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087849317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-15) - 152\/(-12). What is the highest common divisor of z and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*n**2 + 86*n + 80*n - 166*n to the form z*n**2 + u*n + y and give z.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 2. Let f be -11 + (-6)\/2*-2. Calculate i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**4\/4 - 5*d**3\/2 + d**2. Let j be f(6). Calculate the common denominator of -137\/18 and (-4)\/44*j - 0.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2784 - -0.3784. Let g = -11 + 11.99. Let y = g + 0.01. What is the smallest value in 1\/4, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 1:23 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/725694 and 81\/22.\nAnswer: 7982634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -0.5 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -118.195634504019.\nAnswer: 119.195634504019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a - 27. Let p be h(-6). Suppose -8 = -p*x + 112. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*q + 21, 5*s - q - 5 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/6885 and 33\/7.\nAnswer: 48195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 3*s + 4. Suppose -f + 0 = -2. Let i(t) = -2*t**f - 21 - 5*t + t**2 + 12. Let d(o) = 3*i(o) + 5*w(o). Differentiate d(a) with respect to a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijiixiiijixzxjiiz. What is prob of sequence zz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/117 and -23\/4272294.\nAnswer: 12816882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11 = 29. Calculate the smallest common multiple of 8*3\/36 + (-34)\/n and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.171312 + 0.2798.\nAnswer: 6.451112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 - 4*c - 7. Let s be i(6). Suppose 4*g + 48 = 5*g + s*j, -j = g - 52. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 31. What are the prime factors of w(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 172, 1024, 2444, 4432?\n\"Answer: 284*r**2 - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 1\/43456, -13\/14, 4 in ascending order.\nAnswer: -3, -13\/14, 1\/43456, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/40 and 117\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -9145974.\nAnswer: 182919.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10655 + -31957\/3. Factor 2\/3*x**3 + 32\/9*x**2 + 0 - y*x.\nAnswer: 2*x*(x + 6)*(3*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5267877\/(-264) + (-6)\/8. Let d = y + 19954. What is the common denominator of d and 35\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/60 and -33\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -1)\/(3\/2). Let d = l - -1. 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 value of (-3)\/(-3)*12\/(-18)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 + 10*a - 1. Calculate i(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*y + 25 = -2*v, -v + 4*y = -7. Let m be (v\/(-10))\/(2\/48). Solve -2*l - m = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -191905912 by -2340316.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 2*x**3 + 14 + 20 + 13 - 47 to j*x + k*x**3 + t + g*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkookkkokkk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) -0.5 (d) 0.4 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57707946 and 9?\nAnswer: 57707946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 61*b**2 - 67*b - 629. What is the units digit of f(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k**2. Let o(a) be the second derivative of a**7\/1260 - 5*a**4\/12 + 4*a. Let j(f) be the third derivative of o(f). What is m(j(i))?\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/5 (b) 5\/2 (c) 0 (d) 1 (e) 219\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7688.958ml?\nAnswer: 7.688958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4 + 23 - 13 - 5 - 21*u**2. Let f be 5\/55 + 360\/(-330). Give r(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16311897383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 11. Let b(s) = s**2 - 2. Let g be (-10)\/3 + 2\/(-3). Let q be 33*(-7)\/(63\/(-6)). What is g*p(t) + q*b(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 96*u**5\/5 + u**4\/4 - 8*u**3\/3 + 5203*u**2\/2 - 553. What is the second derivative of g(y) wrt y?\nAnswer: 1152*y**2 + 6*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 11. Let u be f(-5). Let z be 4\/(-18)*u\/4. Let s(a) = -a**2 + 6*a - 5. Let n be s(6). What is the closest to 3\/5 in z, n, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 3. Let m be n(-3). Is 27 a factor of (-20)\/m*429\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220872 is divided by 36810.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22056980?\nAnswer: 2, 5, 11, 107, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b01 + -72?\nAnswer: -b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -350122031 (base 6) to base 4\nAnswer: -120212203003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.279.\nAnswer: 0.00558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 2117*j - 8453. Calculate h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.36 - -1.56. Let m be 1\/(-5) + (-9)\/5. Which is the biggest value? (a) 1\/3 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166682943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -8015.\nAnswer: -8\/8015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/49*(-14)\/2. Suppose 4 = -s + k*s, 4 = -2*t + 5*s. Does 9 divide (-2)\/t - 465\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7981)\/(-694)*3\/(-30)*-12)\/((-9)\/(-3)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192502377 * -5.\nAnswer: -962511885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2 - 3) + 3. Let a be (f - -2)*12\/9. Solve 3*p - 4 = 4*i, p - a*p + 2*i = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j - 8. Suppose -b - j*t + 5 = 0, 0*b + 5*b - t = 47. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17626 is divided by 452?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 17. Let s be h(-3). Suppose 2*a - 444 = 3*c, -s*a = -a - 5*c - 892. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140*l**4 - 10*l**5 + 272*l**4 - 142*l**4 + (-3 + 2*l**2 + 3)*(-36*l**3 - 6*l**3 - 19*l**3).\nAnswer: -132*l**5 - 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*p**4 - 5*p + 201*p**3 - 307 + 7*p - 16*p**4 - 203*p**3 to the form t*p**4 + n*p + m*p**3 + v*p**2 + l and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 21*k - 11. Determine r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 9*z**2 + 2*z - 5. Suppose 4*j = 1 - 61. Let t = -6 - j. Is 11 a factor of h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/12)\/(625\/1000).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 17*f + 16. Is 6 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -29. Let x(r) = 112*r - 1. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**3 - 14*m**2 - 14*m + 7. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -3 + (16 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (0 + 6\/4)*(-16)\/(-6) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x*x\/(x\/(x\/(x*x\/x**(-2\/9))))*x))\/(((x*x**(-3\/2))\/x)\/x**7) assuming x is positive.\nAnswer: x**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q*q**4)*q*q*q\/q**(-1\/14)*(q\/((q*q**(-3)*q)\/q)*q)**(-38))**(-8\/11) assuming q is positive.\nAnswer: q**(8452\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*c - 1624 = 28*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/13 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than or equal to 11.2811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.856 plus 5?\nAnswer: 39.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 161830149 divided by 330941?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u**3\/5 + 158952*u**2\/5 - 299268*u\/5 - 37408\/5 = 0 for u.\nAnswer: -9352, -2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(605))\/(sqrt(33)\/sqrt(3)*2))\/((sqrt(440)\/(sqrt(20)\/sqrt(2)))\/(sqrt(32)\/(sqrt(24)\/sqrt(3)))) + 4.\nAnswer: -5*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {m: 2, l: 2, r: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.7 + -21. Let p = 4115.1 - 4115. What is the closest to p in 2\/11, 5\/3, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3)\/x)\/x)**22\/(x**(-1\/3)*x)**26 assuming x is positive.\nAnswer: x**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 - 31. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Find the second derivative of 9 + 2*r - 3*r**x - 9 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/252? (a) -2\/97 (b) 0.2 (c) -0.3 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 18\/(-15))\/((-9)\/(-45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, h: 1, f: 4, g: 1}. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -42, -29, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1529692511206 from -5.\nAnswer: -5.1529692511206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3928*k + 1816*k + 1771*k)*(-k**2 + 3*k**2 - 4*k**2).\nAnswer: 682*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*w + 2 = 0, 5*n - 3*w - 14 = 3. Let d = 22 + -16. Is (-6225)\/(-6) + d\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let a be n(-3). Calculate the common denominator of (1\/a)\/(10\/(-222)) and 59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 8487 = -9837 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + s - 4*s = -1, 2*a = -3*s + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (6 + -18 - -2 - (-4 - -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**6\/360 + 14*z**3\/3 - 4. Let n(h) be the third derivative of g(h). Let n(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.3 and 1015931909925.\nAnswer: 1015931909928.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 - (-4)\/8*0. Suppose 2*k - 3*k = -2*w + o, -3*w + 42 = 5*k. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 3, 8 in ascending order.\nAnswer: -9, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1276 + 61888755289.\nAnswer: 61888754013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -146, -142, -136, -128?\n\"Answer: y**2 + y - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 336430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -104 (b) 5 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134805001?\nAnswer: 3, 7, 47, 308989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*q = 13, c - 5*q - 111 + 44 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 144 = -4*u, -3*z + u + 54 = -75. Solve -8*y + z = 68 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o**2 + 6200*o - 12396. Determine k(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**3 + w - 1. Let a = -12 - -19. Suppose a*d = 4*d + 3. What is t(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1535754450 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from jkyyykkkjjkkyk?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 257 = 3*l + a, -369 = -3*l - 4*a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9731*d**5*f**2 - 2*d**3*f**2 - 2*d*f**2 + 3*d*f - d - 597 wrt d.\nAnswer: 194620*d**3*f**2 - 12*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l**(1\/15))\/l*l*l**5*l*((l\/(l*l**0))\/l)\/(l*l**(-7\/3))*(l\/l**(-8))\/l**(2\/5)*(l**(1\/5))**29 assuming l is positive.\nAnswer: l**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-18) - 135\/36)*(-16)\/(-9)*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k - 12. Let p(a) = -4*a - 2. Let j be p(k). What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 192*l + 11 - 192*l as m*l + n*l**2 + p and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - i = 4*i - 947, 2*r - i = 627. Suppose 309*m + 35915 = r*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127286, -127303, -127320, -127337, -127354?\nAnswer: -127371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-21) + -3 + 3. Let l = 5.02 - 5. Let u = l + -0.22. Which is the closest to -1? (a) -4 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = 9. What is the remainder when 7 is divided by (u + 6)*-1 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2725*y + 5. Let v(n) = -2706*n + 4. Give 2*l(s) - 3*v(s).\nAnswer: 2668*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -8, -13, -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -37, -57, -95, -157, -249?\n\"Answer: -z**3 - z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4755*c + 404184. Give w(85).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 4. Suppose -8*w + 36 = -2*x - 3*w, 5*x + w = -36. Let t(j) = -11*j + 12. Calculate x*r(i) - 3*t(i).\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 2, x: 1, u: 1}. What is prob of sequence bbe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 782352 + -782344. Suppose b + 70 = 5*b - 2*h, -4*b + 3*h + 75 = 0. Suppose 7 = -2*s - 5*d, 0 = 3*d - 0*d + b. Are v and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-144)*6*776\/485?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2652424 (base 10) to base 3.\nAnswer: -11222202102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-300) + 2\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 725*b**2 + 25160*b - 82140.\nAnswer: 5*(b - 3)*(b + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + 984\/(-41)*(-6723)\/42 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221398 is divided by 15811?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -7*c + 3*z + 9, c - 2*z = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713.39 + 712.99011. Let n = p - -0.4. Round n to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.09104 millennia to months.\nAnswer: 589092.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + q - q)*(-q**2 - 4 + 4) + 5960*q**2 + 70*q**4 - 5960*q**2 in the form t*q**3 + s*q**4 + i + d*q + l*q**2 and give s.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-2)\/(-42)*-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -107\/3, 6, -1863, 0.2, 0?\nAnswer: -1863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2008.002231 - 2008. What is v rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127789076 to the nearest 1000000.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 3 - 20 - 28 + 174 - 166. Let c(k) = 7*k + 85. Calculate -6*c(n) - 11*h(n).\nAnswer: 2*n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -85\/10814?\nAnswer: -85\/10814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14191 is divided by 249?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 11 + 17. Solve -u = s + 6, -l*u + s = -u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.258 + 0.048. Let j = 0.69 - r. Let h = 0.8 - j. Which is the nearest to -1? (a) h (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 2*z**3)*(4 + 12*z - 4 + (-2 + 0 - 2)*(-z + 2*z + z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 1 - 3*v as m + g*v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwh when three letters picked without replacement from {h: 1, w: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-65)\/50 - (1 - -1) and 2\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let q(l) = -6*l**2. Let c(y) = 33*i(y) + 6*q(y). Let k(b) = 3*b + 2. Let p(g) = 4*g + 3. Let r(o) = 3*k(o) - 2*p(o). Determine c(r(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -200, -231, -264, -299?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:48 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 16. What are the prime factors of f(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k\/(k**0\/k))\/(k**(-4)\/k**(-2))*(k**(-2\/5)\/k)**19\/((k*k*k*k**(2\/19)*k*k*k)\/(k\/(k*k**(-6\/5)))) assuming k is positive.\nAnswer: k**(-2423\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 8*a**2 - a + 5. Let t(q) = 4*q + 4. Let g(j) = -2*j + 5. Let u be g(4). Let x be t(u). Is r(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -5 (b) 0.5 (c) -1.1 (d) -0.1 (e) 39\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -275, -151, 57, 349, 725, 1185, 1729?\n\"Answer: 42*z**2 - 2*z - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 12*k + 19. Let w be 2\/((-15)\/13 + (-1)\/(-1)). Let s be j(w). Solve -5*m + s = -p, 6*p = 3*p - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4062920, -16251697, -36566326, -65006807, -101573140, -146265325, -199083362?\nAnswer: -260027251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -227. What are the prime factors of a?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12\/54 + (-158)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -39 + 111. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:54 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2239 or -2242?\nAnswer: -2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 7047.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 9*p**2 - 76*p - 339. Give r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*3\/63*9\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 10*f = -3. Let b(d) = 10*d - 13*d**2 + 0 + 14*d**2 - f. Let j(t) = -2*t**3 + 2*t**2 + 2*t - 5. Let s be j(2). What is b(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -69*l - 14. Determine s(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 714*h + 2831. Calculate s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273163.\nAnswer: 11, 19, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g = -22*g + 120. Is (20\/g)\/(306\/(-76) + 4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a + 40 = 90*a + 4*p, -2*p = -3*a - 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - -206. Suppose -u = -78*z + 64*z. What is the highest common divisor of 64 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 22 - -26 - (-3 - -32)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffssmssfasaaama. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2. Let w(v) = 10*v**2 + 2*v. What is d(w(l))?\nAnswer: -300*l**4 - 120*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-24)*u)*u)\/u)\/u)\/u*u*u*(((u**(4\/3)\/u)\/u*u)\/u)\/u*u**(-24)\/u*u**(4\/15) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-215)\/(-430))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 6, b: 3, h: 3, k: 2}. Give prob of sequence ikb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 bigger than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l - 1 + 1)*(-1677*l + 2164*l - 287 + 284) to the form z*l**2 + b + t*l and give z.\nAnswer: -3896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12469 divided by -230?\nAnswer: -12469\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v + 5. Suppose -2*j - v = -j. Let z(a) = -6*a**2 - 8*a + 8. Let t(u) = -2*u**2 - 3*u + 3. Calculate j*z(k) + 8*t(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z + 146. Suppose 5 - 1 = -2*y, -3*y - 102 = -4*g. Let u be m(g). Determine p, given that -1\/2*p + 0 - 1\/2*p**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose 213 = -o*h - 67. Let d be ((-2)\/4)\/(7\/h). Solve 2 = -f - 2*f - d*y, 0 = 3*f - 4*y - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2445856248.310002824 - 2445856257. Let s = t - -8.69. Round s to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 7, 3\/8, -0.4, 2.7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39006658.\nAnswer: 2, 19, 37, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 14 + 37)*(f**2 + 0*f**2 - 2*f**2) + 4*f**2 + 3 + 0*f**2 - 2*f**2.\nAnswer: -7*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/7 - 14*a - 1180\/7 = 0. Calculate a.\nAnswer: -10, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*s - 20539 = 0, 4*t - 6857 = 3*t + 4*s. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -438813 and -14?\nAnswer: 438799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-7) + (515\/1442)\/(165\/(-45342)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l - f - 4 = 0, -4*l - 8 = 2*f. Suppose l = q + 4*q - 150. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 574 + -239. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/24 + 5*q**3\/6 - 5*q**2 + 32*q. Let i(l) be the first derivative of c(l). Give i(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 579525 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(f - 8*f + f + (-3 + 1 + 4)*(-2 + 2 + 2*f) + 4*f - 3*f + 2*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5\/5 - 136*u**4\/5 + 104*u**3\/5 + 976*u**2\/5 - 348*u + 792\/5 = 0?\nAnswer: -3, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/q**29))\/(q\/((q**(2\/31)\/q)\/q)))**24)**(-8))**(19\/5) assuming q is positive.\nAnswer: q**(-2947584\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 86 = 26. Suppose b*k - 37 = 71. What is the least common multiple of k and (0 - -10) + (1 - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-60))\/(232\/(-32) - -7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 2*k. Let n be w(0). Suppose n = -7*m + 3*m + 16. What is the remainder when 14 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45346964429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*16\/(-4)*(-9495)\/37980?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Determine y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006311 rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 252 = -318. Calculate the remainder when q is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/17 - -15\/34. Let w be (-4)\/(-18) - 56\/90. What is the third biggest value in w, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38\/57 + 88\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 - 5*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Suppose 3*w = 2*w + 1. Let s be 6 - ((-1 - -1) + w). Let z(a) = -a - 2*a + s*a. Give z(v(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + -1)**2 + ((sqrt(144)\/sqrt(3) - sqrt(3))*3)**2.\nAnswer: -32*sqrt(3) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10 + 4*a + a**2 - 4 - 5*a. Let g be c(6). Suppose -3*r + 4 + 8 = 3*i, g = r - 2*i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/3 - -1)*-3. Let z = -9 + 51. Suppose -20 = z*v - 38*v. Sort v, i, 6.\nAnswer: v, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -518 by -54.\nAnswer: 259\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-8)\/(-330))\/((260928\/(-3240))\/(-604)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1.5, 1\/24, -0.4, -3\/8, 1\/17?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122*l**4*z - 2*l**2*z**2 + 103884*z**2 wrt l.\nAnswer: -488*l**3*z - 4*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 126. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let y(l) = -1. Let t(g) = 4*g - 1. Let w(b) = -b. Let z(n) = -t(n) - 5*w(n). What is h*y(o) + z(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 15. Let k = 5 + 10. What is the remainder when g(6) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:45 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 107*h**2 - 207*h - 272. Let l be o(105). Solve l*f + 41 + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.39 + 0.49. Let h = 0.1 - o. Let p = -5206 + 5206. Which is the second smallest value? (a) p (b) 10 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15) + 27\/14 + -2 + (-85693)\/(-30954).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1113 + -1192.3. What is l rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261677?\nAnswer: 13, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from krrrrkrrrk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 30*t - 1748. Calculate f(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m + 12. Let q be i(8). Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/25)*a\/(a*a\/a**17)*a)\/(a\/a**7*a*a*a*a**9*a) assuming a is positive.\nAnswer: a**(273\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 + 3*k**4\/8 + 11*k**3\/6 - k**2. What is the tens digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2)\/(-8) + (-2825)\/1700. Is c bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 + 10*u + 9. Let i be c(-6). Is (i\/2)\/((-24)\/(-16)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/w**(2\/5)))\/(w**(1\/5)\/w*w))**(3\/19))**40)**(2\/11) assuming w is positive.\nAnswer: w**(48\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/25)\/r))\/(r\/(r\/((((r*r\/((r**7\/r)\/r)*r*r)\/r*r*r)\/r*r*r)\/r))))**(26\/7) assuming r is positive.\nAnswer: r**(1352\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/4 + 25137*y\/2 + 631868769\/4 = 0.\nAnswer: -25137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**7\/2520 - n**6\/144 - n**4\/6 + n. Let p(w) be the third derivative of v(w). Find the second derivative of p(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t + 4*j, -t = t + 5*j + 7. Suppose -t*x = 5*r, 0 = -3*x + x - 3*r. Solve -5*h - 5 = x, -3*q - 3*h = -8*q + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1133071, -2266132, -3399191, -4532248, -5665303, -6798356, -7931407?\nAnswer: -9064456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)*r*r*r*(r**(-2)\/r*r)\/r*(r*r*r*r**(2\/5)*r)**(-13))\/(r**8*r**(-4))**19 assuming r is positive.\nAnswer: r**(-7316\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 71*t**2 - 5*t + 9. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 21, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**5 + 75*h**3 + 158 + 65\/4*h**4 + 80*h + 235\/2*h**2. Suppose y(p) = 0. What is p?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 + 22*c + 5. Let k be x(5). Calculate the greatest common divisor of 915 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -3*k**2\/2 + 8. Give o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*p = 4275 - 4206, 5*d = 5*p - 90 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/110*-33 - (1 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -16. Let f be (-21)\/z*(-4)\/(-6). Which is the nearest to 0? (a) -1\/4 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.019935 months to years.\nAnswer: 1.00166125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*w**3 + 126*w**3 - 107*w**3 - 87*w**3 - 92*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 70133.98 microseconds?\nAnswer: 0.07013398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-11)\/3 - 20\/(-30). Suppose 2*m - 5*w = 4, 0 = 2*m - 3*w - 4. Put -1, t, m in ascending order.\nAnswer: t, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 9208*y - 46098. Determine a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**2*s*y**4 + 20*b**2*s + 2*b**2 - 4*b + 5*s*y**4 with respect to y.\nAnswer: 20*b**2*s*y**3 + 20*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 + -178.225. Let b = 0.12 + w. What is b rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2115864 divided by 29387\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 + (-1 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93879 - -93879.000060757. Round c to 7 decimal places.\nAnswer: 0.0000608","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4034 (base 11) in base 3?\nAnswer: 21100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 11:15 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2396161 - 39350\nAnswer: 2356811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 20*l + 18. Let d be q(20). Suppose d*r - 1281 - 4047 = 0. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.6 + -14. Let i = r + 4. What is the second smallest value in -1, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(125) - (sqrt(125)*3 + sqrt(125))**2).\nAnswer: -2003 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 41*x - 44*x. Let t be x - -6*2\/(-4). What is the greatest common divisor of t and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -494*u**2 + 171*u + 14. Let l(s) = 165*s**2 - 56*s - 5. Let v(t) = 17*l(t) + 6*y(t). What is the second derivative of v(o) wrt o?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let m = -0.04 - -0.54. Let s = -0.4 + 5.4. What is the closest to g in m, s, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 - 2*g**3 + g**3 - 5*g**3 + g**3 - 2*g**3 + 2*g**3 + 4*g**3 + (g**2 + 4*g**2 - 3*g**2)*(2*g + 0 + 0) + 2*g**3 - 2*g**3 + 4*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*r + 45, -20 = -5*s + 3*r - 4*r. Solve -s*w - 6 = -8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 235.1 (b) -5\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-24))\/(3*1\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 8*c - 7. Let q be d(-6). Let j(m) = 51*m + 4. Is j(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Suppose g - 2 = -0*g. Suppose 0*r + g*r - 2*k = 18, 2*k - 12 = -4*r. Calculate the highest common factor of z and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1621841*y**2 - 18203*y - 66.\nAnswer: -3243682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.505 + -14.47. Let n be (0 + (4 - 5))\/(-2). Which is the nearest to w? (a) -0.2 (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4109*y + 6*y**2 - 3*y**2 + 4109*y - 9. Let j(v) = -9*v**2. Give j(a(w)).\nAnswer: -144*w**4 + 648*w**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*p = -0*r - 1, -r - 5*p = 7. Solve 5*q = -t + 3*t - 26, -4*q = -r*t + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8076000 rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, 3.0656.\nAnswer: -0.2, 0.5, 3.0656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272240342 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 40, 0, -5 in descending order.\nAnswer: 40, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355 or -435?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 8*g**2 + (3*g + 4*g - 6*g)*(-3*g - 2*g + 3*g) - 11382*g + 11382*g - g**2 + 54.\nAnswer: -11*g**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1326 and 79014?\nAnswer: 1343238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -508.45 * 14.975\nAnswer: -7614.03875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 112838?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/120 + 1)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 4*d**3 + 6*d**3 + (d**2 - 5*d**2 - d**2)*(2*d + 2*d + 0*d) - 4*d**3 + 19*d - 19*d.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - h - 4, -2*h + 4 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4))\/((-33)\/22). What is the nearest to -1 in 0.5, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:49 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvpdegwggvpvgp. Give prob of picking 1 w, 1 g, and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177.1 + -177. What is the closest to 0.1 in -0.3, q, -0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672 is divided by 1347.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 14*o - 11. Let d be u(-13). Let p be (-400)\/d*(-4 - 5046). What is p rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2765944*s**4 - s**3 + 12382960*s**2 wrt s?\nAnswer: -66382656*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43995 = -16*x - 361019. Let v = x + 10911. Let m = v + 284967\/32. What is the common denominator of m and 13\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v + 29. Let a be 3\/9 - ((-52)\/(-12) - -1). Let l be i(a). Let z(b) = 2*b + 9. What is z(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210847444*b**2*d - 382*b*d + 438*d + 66 wrt b.\nAnswer: 421694888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g + 131*g = -256 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(3*(-4)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078866439?\nAnswer: 7, 29, 5314613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.737 nanoseconds to minutes.\nAnswer: 0.00000001617895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*o + 178 = -34, -3*c + 154 = -2*o. Differentiate -42 + 48*t + c*t**4 - 48*t wrt t.\nAnswer: 192*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9366\/1784)\/(1\/(-8)*-3). Let i(c) be the second derivative of 1\/15*c**6 + 4*c**3 - 6\/5*c**5 + 0 - 36*c**2 + 35\/6*c**4 + k*c. Factor i(a).\nAnswer: 2*(a - 6)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -3*y + 4*i + 16, 0 = -5*y + 4*i + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/((-21)\/(-6) + -4). List the prime factors of 83\/6 - 3\/x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101 = -1667*y + 13632 + 16186 - 7581 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - -145. Is 4 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -0.4. Let a = -0.3 + u. Let x = a - 0.15. Do 0.2 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 131, 198?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 19*w**2 + 20*w - 36. Let q be r(18). Solve l - 5*l - 4 = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2 + 8*c - 2. Let y(r) be the first derivative of -2*r**3\/3 + 4. Give y(l(g)).\nAnswer: -98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -4*x, 19 = 5*s + 4*x. Determine l, given that -11 + 5 + 16*l - l + 3*l**s - 12*l**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9813 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((182\/52)\/((-252)\/360))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57424 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*b**2 + 2*b**3 - 27*b**2 + 3)*(1 - 5 + 3)*(0 - 4 + 2) to v*b**3 + j*b + t + k*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -8. Let h = -15 + p. Find the third derivative of -w**h - 8*w**6 + 4*w**6 - 2*w**2 - 3*w**2 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q - 1. Suppose t = 4*t - 27. Let c(g) = 13*g + 2. Let i(d) = t*v(d) + 4*c(d). Let j(n) = 6*n + 2. Let x = -18237 + 18235. What is x*j(u) - 7*i(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = -6, 5*g - 2*g - 10 = n. Suppose -n*v = -11*v + 8811. Does 69 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 586.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 312, 1513, 3594, 6549, 10372?\n\"Answer: -s**3 + 446*s**2 - 130*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14466 from 0.0149773.\nAnswer: -14465.9850227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -1c841?\nAnswer: 1c849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + x + 2. Suppose 2*s + 3*s = -10. What is u(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = 3*f, -4*f = -2*w - 0*w - 54. Calculate the remainder when (-4)\/(-6)*6*8 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3408987?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 + -0.08. Let v be 219\/(-7)*4\/(-6). Let f = v + -142\/7. What is the closest to -2 in c, f, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7 - 17) + 15 + -10 + -8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-12 - -3*(-4784)\/(-1200))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**5\/3 + 10*w**4 + 40*w**3\/3 - 10*w**2 - 15*w = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82139240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = -11. Let x(y) = 3*y**3 - 9*y**2 + 6*y + 9. Let a(v) = -4*v**3 + 10*v**2 - 7*v - 10. Let s(t) = 4*a(t) + 5*x(t). Calculate s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666139 (base 10) in base 12?\nAnswer: -2815b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 7*a**5\/30 - a**4\/4 + 2*a**3\/3 + 12*a**2. What are the prime factors of j(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25704 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -1261, -1884, -2527, -3196?\nAnswer: -3897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3) - (-16)\/6) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -9\/5, -2\/7, -3\/5, -21\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162448958533.1 + 162444834718.670187. Let p = y - -4123579.43. Let f = p - -235. Round f to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - 5*b + 21, -5*i = 4*b - 21. Which is smaller: i or 7\/8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 324 = -76. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5184)*-1 + (sqrt(36) + sqrt(324))*6)*2)\/((sqrt(84) - 4*sqrt(84))\/sqrt(7) + sqrt(12) - sqrt(48)*4))**2.\nAnswer: 432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3752\/(-2016)*8 + 15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*p = 2*h - 5, 0 = 2*h + 4*p. Suppose 3 + h = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (16 - 18) + (15 - 9) - (1 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115377 - 757232973?\nAnswer: -757232972.884623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346044764 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 6 = -3*d, 4*d + u = 4*u - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168.7 + 164.7. Sort -2\/3, m, -3, -0.01 in decreasing order.\nAnswer: -0.01, -2\/3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m + 99. Let g = m + 8. Let o = -9 - g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 58 = u, -i = -u - 47 - 5. Suppose 3*d + 12 + 43 = -5*g, 5*g = 5*d - i. Let j = -6 - g. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3354121*-45\nAnswer: 60.0935445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 + 463*j**3\/4 + 4233*j**2\/4 + 7073*j\/4 + 826 = 0. Calculate j.\nAnswer: -7, -1, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -3 - (1 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*o + 641*o + 147*o - 1082*o + 149*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*(-3)\/24)\/(-3). Let o = -4 - -1. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-95)\/(-30) - 2\/12. Suppose -2*c - x*s + 2062 = -8*s, -2*c + 2068 = -2*s. List the prime factors of c.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 1281461*g\/5 - 46133892\/5.\nAnswer: (g - 1281497)*(g + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (17 - (7 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 200\/43, -2.4, 3, -17 in increasing order.\nAnswer: -17, -4, -2.4, 3, 200\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 89535*r**2 + 83744*r**2 - 180015*r**2 - r**2 - 3*r + 3*r + (2 - 5 + 4)*(-2*r - r**2 + 2*r) in the form i*r**2 + q + u*r and give i.\nAnswer: -6738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -11. Let c(f) = -11*f + h*f - 15*f + 7. Let y(a) = a - 4. Determine -4*c(m) - 7*y(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539 - (-18)\/12*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 + 1176 = 4*n. Let h = n - 133. Suppose -5*v + 542 + h = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31 - 0.31. Let y = 0.06 + 0.19. Let h = y - 0.05. Are h and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**3 + 25031*q - 25031*q + (-q**3 + 0*q**3 + 2*q**3)*(1 - 3 + 5).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 4*l)*(4 + 5 - 2)*(3 + 1 - 3)*(-2*l + l + 3*l).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * 288.9\nAnswer: -40.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1683, -3369, -5057, -6747, -8439?\n\"Answer: -r**2 - 1683*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/110 and -109\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-66)\/(-24))*(-266)\/6783\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 49. Let j = 69 + -70. Let y be (-4 - j)\/(2\/6). Let r be w(y). Solve 0 = b + 4*q - 16, 12 = -4*b - r*q + 28 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**48*o**(-1)*o*o\/o**(-4) assuming o is positive.\nAnswer: o**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 11*c**2 - 10*c - 22. Let a(j) = 2*j + 112. Let y be a(-50). Let t be z(y). Solve 5*n + 17 = -3*o, 2*n + 12 = -t*o - 2*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551, 2244, 5079, 9068, 14223, 20556, 28079?\nAnswer: 36804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/1072 and 89\/892?\nAnswer: 239056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*o + 2870 = -5544, -p - 2*o + 2091 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u + 9. What are the prime factors of i(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**3\/5 - 273*l**2\/5 - 744*l\/5 + 380556\/5 = 0.\nAnswer: -33, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let b be (-2)\/(-4)*(d - 4). Is -2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118787 is divided by 275.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-2)\/(-6)*-237. Calculate the greatest common factor of u and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -1457*t**4\/24 - 1427*t**3\/3 + 8*t**2 - 308. Find the first derivative of o(y) wrt y.\nAnswer: -1457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295515281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -828.4 - -885. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3258713, 6517310, 9775907, 13034504, 16293101?\n\"Answer: 3258597*w + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 + (-58)\/(-18). Does 12 divide k*4\/(-6)*19\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130232030312 (base 4) to base 10.\nAnswer: 7529270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -45*t**2 + 41*t + 489. Let y be d(-15). Which is smaller: y or -10252?\nAnswer: -10252","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elfbllebllexxlexllb. Give prob of sequence le.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(17\/102)*1\/(-5))\/(1050\/(-500)). Find q such that f*q**2 - 220\/7 - 216\/7*q = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -416.\nAnswer: 3\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*p + 5*f + 3 = 211*p, -2*p + 5 = -3*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1324000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 44*v**7\/7 - 244*v**3\/3 - 366. Find the third derivative of b(x) wrt x.\nAnswer: 5280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by (-1)\/(-7) + (-1584)\/(-84).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32347090.18 rounded to the nearest ten thousand?\nAnswer: -32350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 232.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f - 14. Let y be 7*(-10)\/(-105)*-9. What is the tens digit of l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 359225749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1506972372 and 744.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123106\/5 - 24621. Which is the nearest to 1\/17? (a) -4 (b) h (c) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200232*t**2 + 276029 wrt t?\nAnswer: -400464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -520, -950, -1490, -2140?\nAnswer: -2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 6*x**2 - 3*x + 7. Let m be (-21)\/2*(-22)\/33. What are the prime factors of l(m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.525 - -14.4. Let v = z + 0.06. What is v rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 0.395?\nAnswer: 0.395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -o - 4*w - 3, 5*o - 28 = 2159*w + 2158*w - 4316*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 + 5*i. Let o be (-110)\/(-7) + 10\/35. Suppose -13*z = -o*z - 21. Determine g(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002310546 rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*b - 21, -l - b = -0*l + 1. Suppose -5*f - 14 = 1. Let c(q) = -q + 1. Let r(a) = 3 + 2 - 6. Determine f*c(h) + l*r(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43852622 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1032144717 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11))**(-40)*h*(h*h**(2\/17)*h)\/h*h*(h**(-7)\/h)\/h assuming h is positive.\nAnswer: h**(-3140\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let w be n(-2). Let z be (-1)\/((-2)\/(-4)) - (-15 + w). Let x(l) = 6*l - 48. Let f be x(z). What is the greatest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3953108578583\/266327732 - -9\/6052903. Let k = v - 14841. Find the common denominator of -6 + -7 + 1603\/168 and k.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:58 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1561979654 to the nearest integer?\nAnswer: 39522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10710031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymaaloo. What is prob of picking 1 m and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1993, 4189, 6581, 9169, 11953, 14933, 18109?\n\"Answer: 98*l**2 + 1902*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.4, -1, 1344.7 in descending order.\nAnswer: 1344.7, 0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 4\/12277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-3))\/((-124)\/(-56) + -2). Let k(d) = 6*d**2 - 7*d**2 + 0 - d - 18 + g*d. List the prime factors of k(8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 + -570 - (2 - (-3 - -2)) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, u: 2, x: 3, k: 2, g: 2, o: 2}. What is prob of sequence juu?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281\/1057 - -3\/151. Let x(r) = -r**3 - 15*r**2 - 17*r - 49. Let d be x(-14). Which is the closest to -2? (a) l (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 4*f + 4. Let c be p(-4). Find the second derivative of 2*o**3 - o**c - o - 4*o**3 + 2*o**3 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -207, -564, -1203, -2208, -3663, -5652?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:42 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.4 (c) 1\/31 (d) 1 (e) 6\/5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.1 - -8. What is the biggest value in u, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 172.7588 centimeters?\nAnswer: 1727588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 39*b - 26. What is y(-37)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15381 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: In base 6, what is -20425 + -3014?\nAnswer: -23443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9376, 5\/6, -4 in decreasing order.\nAnswer: 9376, 5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + -3.25. Let d = 2.2 - 5.2. Let t = u - d. What is the nearest to 0.2 in -2\/7, t, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s**3 - 68*s**2 + 24*s - 11. Let i(p) = -p**3 + p**2 - 2*p + 1. Give d(j) + 11*i(j).\nAnswer: 13*j**3 - 57*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 25*l + 0 + 8*l - 47*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(6\/8). Let k = f - -1. Let y(b) = b**2 - b - 2. Let h be y(k). Solve h = 5*t - t, 5*l - 5*t + 15 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 8*t + 1 + ((0 + 1 - 2)*(53*t + 54*t - 102*t) - t - 4*t + t)*(-4 - 1 + 6))*(1 + t - 1) as x + i*t + k*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -483873, -3, -0.2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-496)\/(-93))\/((-6)\/(-324)). Calculate the greatest common divisor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -19*l - 1841. What is the remainder when r(-127) is divided by 60?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -636 - -656. Calculate the greatest common divisor of 36 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 15*n - 17. Let w be m(14). Let p be w\/6 + 2\/(-28). Let u = -0.05537 + 0.45537. Which is the closest to -4? (a) p (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*m - 218 = -50, 4*g + 5*m = 224. What are the prime factors of (6\/21)\/(1\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3*t*t**(3\/4)*t**(-1\/5)*t**(-6)\/t assuming t is positive.\nAnswer: t**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 1. Suppose -24 = -5*y + 2*q - q, -5*y - 4*q = -29. Suppose y*h + 8 = h. Let m(p) be the first derivative of p**2 - 3. Give h*z(i) - 2*m(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a century in years?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1186 and 437.\nAnswer: -518282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*((-3050)\/1464 + 10\/12 + -1).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51677349 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88174*p**3*u**2 - 18*p**3*u - 31*p**2 + 720*p*u**2 + 93*u wrt p?\nAnswer: 529044*u**2 - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1632)\/160*((-450)\/9)\/5.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 92423360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -47)*(1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135 and 22.74?\nAnswer: 3069.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/33 + 124844\/(-7788). Let u(n) = -5*n**2 - 82*n - 40. Calculate u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 17*u**2 + 8*u - 2 + 10 + 0*u - 4*u + 24*u**2. Let x(y) = y - 3. Let i be x(-4). Determine h(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 373390.\nAnswer: 1\/74678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1118 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2)*(-3 - -1). Suppose 145000 = t + u*t. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sysq when four letters picked without replacement from smyyqmqsmqysses.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f + 16. Let q be t(-8). Let g = 262\/3 + q. Which is the nearest to 0.11? (a) g (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 28 - 10836\/(-450).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526318?\nAnswer: 2, 763159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, 0.3, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(2*o - 3*o + 2*o) + 1 - 4*o**2 - 1.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + 59. Let a = -83.3 + s. Let w = a + -9. Put w, 4, 3 in decreasing order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 10 (b) 2\/7 (c) 0.36 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 746*g - 840. Suppose t = 8 + 16. Calculate the smallest common multiple of t and i(148).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1241 + 3*d**2 - 1008 + 2*d + 2168. Calculate v(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 1 (b) -4 (c) -50689.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124279 and 71269?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 38. Let m be y(11). Let w = 11 + -15. Let n = 1 - 2. Which is the nearest to n? (a) m (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -736651?\nAnswer: -736650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5432 and 190508?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkukkkkukkku. What is prob of sequence kkk?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1, -0.03, -5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-3))\/((-12)\/30))\/((-1110)\/4329).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1076\/315 - 128\/45. Let p be (8\/(-6))\/((-2)\/(-24)). Let m = -39\/4 - -10. What is the third biggest value in p, v, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1533\/(-6)*(-32)\/56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7739 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1 - -2) + 0. Let q(v) be the first derivative of 3 - v**2 + v**2 + v**h + v. Differentiate q(j) with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 13. Let o = 13 - w. Let y be 3 + (-2 - o) + -5. Which is the third biggest value? (a) 1 (b) -2\/21 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 28*i + 15. Suppose 3*j = u - 4 + 6, -16 = 4*j. Let h be b(u). Suppose -25*f + 2180 = -h*f. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -368 - 8?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 + -48. Let o = 45.111 - h. Round o to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqb when four letters picked without replacement from bqqqblbrqbl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 22*s - 112. Let h be x(9). Suppose 18 = -u - 5*v + h, 3*v + 11 = u. Solve u*r + 15 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/((-3)\/(-9)). Let h be c\/(-2) - (-450)\/20. Solve -22 = 4*f - 2*g, 0*f + h = -f + 4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2328 and 1392195216.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9500 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, m: 3}. Give prob of sequence kkk.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -155?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 16. Let r = 7 - -1. Let g be y(r). Suppose 0 = -4*a + 8*a - 8. What is the greatest common factor of a and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**3 + 35*v**3 - 13*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/8*-4)\/((-3)\/(-724)). What is the remainder when 1258 is divided by (-2)\/10 + u\/(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 486 (c) 2\/15 (d) 1\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49780 and 69692?\nAnswer: 348460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - 410*r**2 + 15876*r - 80280 = 0 for r.\nAnswer: -446, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 2 - 2. Let u(x) = -6*x + 5. Let j(h) = 3 - 11 + 4 + 5 + h. Let y(o) = 3*j(o) - u(o). Determine y(z(n)).\nAnswer: -18*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86 - 0 - (-3 + 3 - -1). Let u = k - 80. Suppose p = 4*r + 17, -4*p = r + 4*r - u. Solve -2*l + z = -z + 8, -26 = p*l + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23917, -23927, -23951, -23995, -24065?\n\"Answer: -t**3 - t**2 - 23915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 minus 101605572?\nAnswer: -101605627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 124*p**3 + 2*p**2 - 130*p**3 + p in the form r*p**3 + q + g*p**2 + h*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 0, -584, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3 = 24*o - 25*o, -3*o - 7 = -4*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-48))\/(10\/72). Let m = h - 6\/5. Find the common denominator of (51\/(-60))\/(3\/42) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1557, -2, -4, -6, -15\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 42, -26, -226, 1, -4, 3 in ascending order.\nAnswer: -226, -26, -4, 1, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -37*k + 40*k. What is the lowest common multiple of k and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, f: 1, e: 1, c: 2, b: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 17, b: 1}. What is prob of picking 2 l and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27647.8*15\nAnswer: -414717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - 2 - 2*b**4 + 8*b + b**2 in the form l*b**3 + v*b**4 + m*b + s*b**2 + z and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717*d**2 + 2126*d**2 - 704*d**2 - 703*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*g**4*s - 23*g*s + 4*g - s wrt g?\nAnswer: -420*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.56771 milligrams to grams.\nAnswer: 0.09656771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30185, 60085, 89985, 119885, 149785, 179685?\nAnswer: 209585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118931 divided by -5.\nAnswer: -118931\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u + 3 - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 42. Let p be v(6). Let l(m) = 17 + m**2 + 18 - 31 + p*m. Let s be -6 - (0 + 1 - 2). What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -0.04 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(416\/(-60)) + 8\/52. Which is the smallest value? (a) 0.3 (b) 7 (c) u (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*y - y + 38, 3*y = -2*i + 54. Suppose i*b - 6 = 18*b. Suppose b*h - h = 3. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -20. Let x = h + 266. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0965 + -1.0965. Sort -22, -1\/3, m.\nAnswer: -22, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12086 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m**5 - 11\/48*m**4 + 1\/672*m**8 + 1\/2*m**3 - 5*m**2 + 1\/24*m**6 + 0 - 1\/70*m**7 + 0*m. Let o(h) = 0. Calculate h.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122897 at least as big as -1\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136805177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -10*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/2217 (b) -1\/2 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**2 + 28*z**3 - 10*z**2 + 18*z**2 + (396*z**2 - 396*z**2 + 30*z**3)*(3 - 3 - 5) to the form i*z + u*z**3 + s + g*z**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/378792 and -65\/15783?\nAnswer: 378792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 26 = -a. Is 13 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 13 + -37 - (0 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 131 = d + 13, 2*k + 36 = 5*d. Let u(w) = -14*w + 111. Let z be u(10). Is z >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 3, w: 1, j: 2, e: 2, s: 3}. What is prob of picking 1 l and 2 n?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -387 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoqpkjk. What is prob of sequence ojkk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6*63\/14. Let u = t + 17. Let g(d) = -2*d + 7. Determine g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168837\/410536 + 4\/7331. What is the common denominator of n and 31\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6331 - -3314?\nAnswer: -3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*b**4*f + 517*b**4 - 3*b**3*f - 79*b**2*f - 1107*b**2 + 5*f wrt b.\nAnswer: -432*b*f + 12408*b - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/36*40\/50 - (-18706)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 4.03. Let v = -0.9 + 1. Is l > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5502 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 1, 1\/24 in decreasing order.\nAnswer: 1, 1\/24, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + m**2 + 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19235852 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139183, -137305, -134173, -129787, -124147, -117253?\nAnswer: -109105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 - 0.2. Let p = g - 0.67. Let v = -0.7 - p. What is the nearest to -1 in 1\/6, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83647390913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 12 + 33. Let r = 11 - d. Which is smaller: r or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*t + 3127*t - 40267 + 368507 = -1758*t for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 8*i = -180. Suppose -14 = 2*r - i. Calculate the smallest common multiple of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-14)\/(-6)). Let t = -0.3 - -0.4. Let p = t - 1.1. Which is the closest to f? (a) p (b) 1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7092 - -0.029808.\nAnswer: 1.739008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 17 - 24 = 0. Let t(q) = -q**2 - 4 + 1 - 9 - x*q. Let b be t(-6). Let f(k) = -2*k - 5. Determine f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -5, 325 in decreasing order.\nAnswer: 325, 4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**5 + 1\/2*a**4 - 4\/3*a**3 - 52\/7*a**7 - 21*a + 181 + 0*a**6 + 0*a**2. What is the third derivative of c(x) wrt x?\nAnswer: -6240*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 1, f: 2}. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m - 902. Let f(g) = -3*g - 9. Calculate -45*d(s) + 5*f(s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 0*t**2 + 4*t**2)*(13*t**3 - 23 + 23) - 2*t**5 - 3*t**2 + 5*t**2 - 12*t**3 + 8*t**3.\nAnswer: 11*t**5 - 4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let d(t) = t**2 + t - 1. Give d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 460?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 5*w**3 - 33 + w**3 - w**2 in the form p + y*w**3 + l*w**2 + f*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*h - 1, 25*p - 28*p = 26*h + 89 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -16*p + 90. Solve -55 = p*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 14*x**3 + 35*x**3 - 13*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1003524 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q + 6*q + (5 - 4 - 3)*(6*q - 2*q - 5*q) + 4*q - 3*q + q)*(-1 + 4 + 0).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let w = 1 + l. Which is the third smallest value? (a) w (b) -1\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - 15. Suppose 0 = -0*b - 7*b. Let y be j(b). Let p = -46\/3 - y. What is the third smallest value in p, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72431 is divided by 230.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssissi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*f**2 - 241*f**2 - 241*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/138716 and 73\/16.\nAnswer: 554864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221712089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*q - 44 = q, -3*q = w - 22. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let p(w) = -32*w**2 + 122*w**2 - 42*w**2 + 1 - 40*w**2. Calculate n(p(z)).\nAnswer: -8*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 2*p + 14, 4*h = -3*p + 18. Let n = h - 3. Find the third derivative of k**3 - 4*k**n + k**3 + k**2 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 5*k + 2*k = 391176. What are the prime factors of k?\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46741*v + 810 = -46714*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607 is divided by 1533.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - -4 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**3*r + 7*m**3 + 9*m**2*r + 7379*m**2 + 746*m*r - 30*r - 57 wrt m.\nAnswer: -48*m*r + 42*m + 18*r + 14758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20022210 (base 4) to base 2.\nAnswer: 1000001010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let p(u) = -3*u - 6. Suppose 5*c = -13 + 28. Suppose -5 = -8*l + c*l. Calculate l*p(t) - 5*g(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7314 is divided by 1824?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 1550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113328235.\nAnswer: 5, 22665647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 145201 = 39121. Are -4079 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 724, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*(-17)\/((-238)\/(-42)). Suppose 2*r - 4*b = -2, b = -2*r - 14 - 8. Put o, -7, -2, r in decreasing order.\nAnswer: -2, o, -7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033447413 rounded to 4 dps?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 - 2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 48209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012496031897 rounded to seven dps?\nAnswer: 0.0012496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065797834 to 5 dps.\nAnswer: -0.00658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490700, -981445, -1472204, -1962983, -2453788, -2944625, -3435500, -3926419?\nAnswer: -4417388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00755444845 to 5 decimal places.\nAnswer: -0.00755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/(-4) + 2\/4. Let t be (-9)\/q*(2 + -16). Let i(m) = 0*m**2 - 5 + m**2 - 7*m - 2*m**2. What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -20, -1\/4, 7, -9, -0.06 in decreasing order.\nAnswer: 7, -0.06, -1\/4, -0.7, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 22*w + 300. Suppose 6*k - 11*k = -w. What is the least common multiple of k and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -7. Let m(l) = 6*l - 20. What is the smallest common multiple of m(5) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 4449. Let r(l) = -3*l + 4. Give r(g(f)).\nAnswer: -21*f + 13351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**37*s*s*s**(1\/39)*s**(-33)\/((s*s**1)\/s) assuming s is positive.\nAnswer: s**(235\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2012118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -25561 not equal to -25560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -5*s - 579, -4*s - 2332 = -4*b. Sort 5, b, -4.\nAnswer: -4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17937960 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2820)\/2350)\/(2\/180*4)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000882819 to 6 decimal places.\nAnswer: 0.000883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -33*q + 1165. Does 89 divide t(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 + 2*k**2 + 2*k - 31. What is the units digit of h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*p**5 + 11242*g**2*p**2 + 10357*g**2*p - 2*g**2 + p - 2 wrt p?\nAnswer: -20*g**2*p**3 + 22484*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*m + 25, 4*c + m - 18 + 7 = 0. Suppose -45*q + 822 = 92*q. Solve 0 = -3*k + 8*b - 5*b - q, -4*b = c*k + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*u**3 - 333*u**2 - 44*u - 63657864?\nAnswer: 153*u**2 - 666*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(6*(sqrt(684) + (sqrt(684) - (sqrt(684) + -1 - sqrt(684)))*-1)*1)**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.14, 11, 4, -0.27 in decreasing order.\nAnswer: 11, 4, 0.14, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 34*x**2 - 353*x + 1067. Calculate d(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5713194 is divided by 132.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2 - 5*h + 1\/2*h**2. Determine a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1788 - 0?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -39. Suppose -l*r + 27 = -18*r. Is 4254\/9*(r\/2)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -0.099, 0.557, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*m + 53, 4*m + 146 = 2*a + 2*m. Let x = -18 + a. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -4, 1, 24 in decreasing order.\nAnswer: 24, 1, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 725172 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8a95 (base 13) to base 4.\nAnswer: -1120122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 93*z**2 + 49*z - 90. Let o be s(47). Solve 0*u + o = u, -13 = f - 3*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (12 + -10) - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 1 - 1)*(0 + 3 - 5 + 2 + 0 - 1 + 3 - 2 - 3 + (0 + 5 - 4)*(-1 - 4 + 4) - 1 - 5 + 3).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*p = -14, l - 13*p + 10 = -17*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -81895.9?\nAnswer: 81896.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.5538 years to decades.\nAnswer: 28.55538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 > -360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14837*r**5*x - 148*r**2*x**2 - 3037981*r*x**2 - 5*r wrt r?\nAnswer: -296740*r**3*x - 296*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -3bb2?\nAnswer: -3bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 13 - 2. Let s(z) = z**3 - 12*z**2 + 12*z - 6. Let q be s(m). Solve 0*o + 3*d = 4*o + 3, -d + 20 = q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose 0 = -6*z + 4*z + u. Let p be (25 + -5)*z\/12. Which is greater: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let i(m) = 3*m**3 + 5*m**2 - 2. What is -i(k) + 5*o(k)?\nAnswer: -3*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 96487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 2025, 3422?\nAnswer: 4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13137?\nAnswer: -4\/13137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*b + 234*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 8*u - 6. Let y be j(-7). Does 6 divide (-1)\/(y\/87*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immm. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006475 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -0.11, 3, -6?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -313.288.\nAnswer: -313.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from {g: 7, w: 4, f: 6}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06649075 rounded to 3 decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10811 + 10809. What is the nearest to -0.05 in -0.1, i, 5, -0.115?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3 - 418 + 420 - 31*k**2 + 3*k**2 - 3*k wrt k.\nAnswer: -24*k - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7475 + -167?\nAnswer: 7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2798*l**2 + 13*l + 85.\nAnswer: -5596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 135?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 141785700.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m - 69*m - 10*m + 2*m = 3344 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-15))\/((-1)\/5). Suppose -66 = 5*z - 86. Suppose -z*m - 4 = -4*d, 2*m = 4*m - 4. Solve -7*y = -2*y + 3*w - d, 0 = x*y - 2*w + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(0 + sqrt(245)))**2 - -5*(sqrt(245) - -2*sqrt(245))*-4.\nAnswer: -3920 - 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = -4. Let u be (a + 21)*(-2)\/(-4). Let y(h) = 2*h + 13. Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8410 (base 13) to base 5\nAnswer: 1041030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7 times 8736500?\nAnswer: 58534550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -7719956410.\nAnswer: -7719956412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333536?\nAnswer: 2, 72923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 20 + 6. Suppose 5*u - f = 57. Let w be (u - -7)*4\/6. Solve 0 = k + 3*k + 8, 4*b + k = -w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142895606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {t: 11, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.188932 - -0.2011. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {p: 1, d: 4, f: 1, z: 1, w: 7, x: 5}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o, -4*m + 3*o + 4 = 4*o. Let r be (m\/5)\/(7\/210). Is r > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3027.9 to the nearest 10.\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*w - 80 = 633*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1118913, -1118761, -1118609, -1118457?\n\"Answer: 152*j - 1119065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*g**2 - 6*g - 7 - 3*g**2)*(2*g + 2*g - 2*g).\nAnswer: 2*g**3 - 12*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10 - 19) + 6 + 10 - (-12 - 6)) + -83.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61695 divided by 275?\nAnswer: 12339\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 874 and 1064.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-197)\/(-4) - 2\/(-1). Let f = 51 - j. Let k = -251 - -250.6. What is the biggest value in f, -2\/19, k?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*x = 3*a, a - 3*x = -10. Let y be a\/(-12)*(4 - 13\/4). Put 0.4, -4, y, -0.3 in descending order.\nAnswer: 0.4, y, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -1, 2.4, 3.1, -1\/9, -5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1644*p + 7789*p**2 + 5253*p**2 + 4773*p + 5032*p wrt p.\nAnswer: 26084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - 2*1*sqrt(117)))*-4)\/(sqrt(9) + sqrt(576)\/sqrt(4) - sqrt(72)\/(1*sqrt(8))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17350*d - 17356*d + 20253 + 18939 = 0. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = 3*j, j - 13 = -3*y - 6. Let t be ((-1)\/y)\/(15\/(-34488)). Let g = t - 31884\/55. Find the common denominator of g and -67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000\/(-80)*(-40)\/(-350)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 22*a + 27. Suppose 0 = -3*p - d + 188, 4*d = 5*p - 0*d - 319. Suppose m - p = -2*m - 4*b, -2*b = 0. Let y be n(m). Solve 5*z - 5 = y*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 70 - 4*c**2 - 56 + c**2 + 5*c**2. Let s(y) = 3*y. Determine h(s(f)).\nAnswer: 27*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/71 - 354999\/284. Let k = w - -1272. Calculate the common denominator of 73\/216 and k.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17946646409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1424, 2803, 4190, 5591, 7012?\nAnswer: 8459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128695 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308188 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/3 + 9451*p - 28350 = 0.\nAnswer: 3, 28350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 + z - 2*z**3 + 2*z**2 + 1 as s*z**2 + b*z + o*z**3 + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6272500\/107 + -58622. Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -6, -2.\nAnswer: -6, -5, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2384, 2390, 2406, 2438, 2492, 2574?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsyzzzoothohh. Give prob of sequence zoy.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 137 = 104 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 0)*(-s**4 - 41 - 13 - 26 + s**2) to x*s**3 + q*s + j + f*s**2 + a*s**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-96)\/(-18))\/(4\/3). Suppose 2*k - 19 = -5. Suppose 0 = -3*b + a*s + 633, k*s - 2*s - 422 = -2*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 154 = 4*g. Suppose -c + 5*c = -3*m + g, 3*c - 38 = -5*m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:13 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 2 - q + 12*q - q**2 - q**4 - q - q**3 to h + m*q**4 + n*q + t*q**2 + j*q**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwwwywwwwywyyy. Give prob of picking 1 w and 3 y.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.4 - -12.6. Let u = 16 - l. Sort 1, -2\/5, u, -1 in ascending order.\nAnswer: u, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*o + 11. Let s = 5.3 + -5. Let y = s - 0. Which is the second smallest value? (a) o (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.761036 days in minutes?\nAnswer: 1095.89184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = 3*g, 2*m = 4*g - 14 + 2. Let i(z) be the second derivative of 11*z**3\/6 + 3*z**2\/2 - 2*z. What is the tens digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125147.\nAnswer: 11, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.03, -0.2, 3\/2, 5\/78?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -306d2 (base 15) to base 12\nAnswer: -74952","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.3 - 80.24. Let l = -0.06 + a. Let i = l + 18.00000152. Round i to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.45412t in kilograms?\nAnswer: 14454.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 - 9*a + 14. Let s(j) = -3*j**2 + 28*j + 19. Let q(y) = 3*y + 1. Let v(m) = -22*q(m) + 2*s(m). Let x(d) = -5*p(d) + 4*v(d). What is x(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*w = -5*j + 65*w - 753, -4*j - 5*w = -264 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3795346.8 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k + 1577 + 4849 = 0 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Let y(i) = 2*i - m*i - 7*i + 2*i. Let x(r) = r**2. Give x(y(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -497 + 1356. Suppose 4 = -o - 0, -2*o - 58 = -5*n. Suppose z = n*b - 3631. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2\/3*z**4 + 0*z**2 - 27*z + 0*z**3 + 0 + 1\/10*z**5. Factor h(x).\nAnswer: 2*x**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpjbjbp. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyquulwoywyuwwuwyouu. What is prob of sequence oo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2 + 0)\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, j: 1, e: 2, c: 4, d: 2}. Give prob of picking 2 e and 1 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let f(a) = a + 22. Let c be f(-10). Let g be 0 + (c\/(-27))\/(-2). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + -0.9. Let d = n + 4.1. Which is the nearest to 1? (a) d (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(1 + 0)*-1. Let i = o + 24. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74385 - 21028. List the prime factors of m.\nAnswer: 229, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 47*b**4\/24 + 179*b**3\/6 - 158*b**2 + 1. Does 45 divide m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -6 (c) 1 (d) -1\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123475690?\nAnswer: 2, 5, 13, 53, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 2. Suppose -3*j + 3 = -0. What is the units digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 5742297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5 + 1. Suppose -n*j - 2*j = -20. What is the second derivative of o**j + o**5 + o - o**5 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651761619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 4*m**2 - 1\/12*m**4 + 1\/6*m**3 + 1\/3*m**5 + 0*m. Let b be v(1). Calculate the highest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**2*i**2 - 4*a**2 + 377*a*i wrt i.\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3599064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 56. Let l be p(26). Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1084*b + 1223*b + 152262 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzzz when four letters picked without replacement from {r: 5, z: 9}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) -0.2 (c) -0.1 (d) 27 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28945.94 + 3.\nAnswer: 28948.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18702 - 17909. Is 802 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 4 - 2 - -5. Let m be k*22\/15 + -4. Are m and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.2. Suppose d = 3*v - v - 5, -d - 2*v = -3. What is the nearest to d in 3\/5, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*q - 1167*q - 44367 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 516*v + 2581\/5.\nAnswer: -(v - 2581)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/32)\/(1\/(-28)). Suppose 3*q - 3 = -3*g, 0*q + 3*q + h = 5*g. Suppose 3*n = -4*m + 94, n - 93 = -2*n - g*m. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2. Let t(s) = -13*s - 14. Let q(m) = 14*m + 17. Suppose -52*r = -38*r - 84. Let g(x) = r*t(x) + 5*q(x). What is d(g(n))?\nAnswer: -192*n**2 + 48*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*-902.\nAnswer: -5772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*((-3 + (sqrt(475) - (sqrt(475) + 2*sqrt(475))) - sqrt(475)) + 1*sqrt(475)*6 + -5 + sqrt(475) + -1 + (sqrt(475) - (sqrt(475) + -2))))**2.\nAnswer: -2280*sqrt(19) + 68761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 24. Let c be -3 + 4\/(d + -2). What is the third smallest value in c, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbllbllbbllll. What is prob of picking 2 l?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) 17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177*z + 29904*z**2 - 1177*z.\nAnswer: 29904*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 - (-4 - 1 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 + -162. Suppose -2*k = -1 - 73. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + j**2 + 0*j**2 + (4*j**2 + 0*j**2 - 3*j**2)*(-26 + 11 + 6 + (1 - 3 + 4)*(1 - 3 + 4))*(3 - 5 - 1).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.930139 to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 52. Let u = i + -7. Let d(r) = 2*r**2 - 7*r + 8. Calculate the remainder when d(7) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 - 3 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {w: 3, t: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.048494 - -56.893506. Let a = z + -57. Round a to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = -18. Let y(b) = b**3 + 6*b**2 - 2*b - 8. Let t be y(g). Solve -u = 2*m + 3*u + 14, -t*m = 2*u - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4 - 27032*f**3 - 649874*f**2 - 622840*f = 0.\nAnswer: -23, -1, 0, 13540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*n = -0*r + 8, -n + 14 = -5*r. Let w(a) = -9*a**3 + 5*a**2 + 5*a. Let v(i) = 4*i**3 - 2*i**2 - 2*i. Give r*w(g) - 5*v(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/(-351))\/(2\/3*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19047 + -19043. Calculate the least common multiple of l and 5718.\nAnswer: 11436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -530970, -526784, -519808, -510042, -497486, -482140, -464004?\n\"Answer: 1395*t**2 + t - 532366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, 14, 3\/5, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 187 = -27*v + 2*v, 0 = -4*w - 4*v + v - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/3 + 1624\/(-145)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {k: 1, j: 5, t: 11}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u - 6*u**2 - 19*u - 12*u**2 as x*u**2 + r*u + c and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0515, -2, 218, 2, -0.5, 1\/6 in decreasing order.\nAnswer: 218, 2, 1\/6, 0.0515, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2328 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 17, -62?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**3 + 4*b**2 - 12*b + 2. Let k(s) = -5*s**3 - 5*s**2 + 12*s - 3. Let i(t) = 6*c(t) + 7*k(t). Is i(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 715*p - 52740. Give z(74).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -47. Suppose 0*m + u*m - 27 = 0. What is the first derivative of 7*t - t - 13*t - m*t - 3 wrt t?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37277, -37287, -37297, -37307, -37317, -37327?\nAnswer: -37337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1.98, 0.\nAnswer: -2, -1.98, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 + m + 8. Let v be y(-8). Suppose -q = -i - 1 - v, 0 = -3*i - 2*q + 2. Does 10 divide i - (2 - 2 - 21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*c + 3*c - 40, 5*i = -3*c + 63. What is the remainder when 1286 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - q)*(6*q**3 + 343*q**2 - 343*q**2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/1764)\/((1\/(-6))\/((-30)\/(-300))).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*d + 4*k + 8, -3*d - 2*k = 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*k - 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771654 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 46*g + 0 - 29\/3*g**4 + 0*g**2 + 0*g**3 - 1\/5*g**5. Factor u(v).\nAnswer: -4*v**2*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 194644354 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 5*w, -6 = -d + w. Let o be -4*d\/(-4 - -2). Let t be (1\/2)\/((-2)\/(-24)). Solve 4*b = o*m - 8, -3*m + 2*m = 3*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.6+-0.150314\nAnswer: 15.449686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2. Let p(q) be the third derivative of 79*q**4\/12 + 132*q**2. Calculate p(b(s)).\nAnswer: 316*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7651 - -7653. Let y be ((-2)\/(-5))\/((-1)\/(-5)). Suppose y*z - 4*b = 338, 1 = b + g. What are the prime factors of z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 845, 1448, 1907, 2000?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l + 81 = 0, -l - 1 - 55 = 2*d. Let v(p) = -295*p**3 - 298*p**3 - 293*p**3 + 14 + 885*p**3 + 14*p - 28*p**2. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + -8 + 5 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/17 + 5962792*i\/17 - 4444361054408\/17.\nAnswer: -2*(i - 1490698)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:52 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 - -370.9. Let z = f + -1.9. Let i = z + -29. Put 1, 0.2, i in increasing order.\nAnswer: i, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Calculate -8 - ((8 - 6 - 7) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111011001011010111 (base 2) to base 16.\nAnswer: 1bb2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/(-21)*(-144)\/(-16)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145874 = 850*l - 117824 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 16*q - 12. Let f be n(6). Suppose -40 = -200*c + f*c. Solve 9 = -3*b + 3*k + 2*k, 0 = -2*b + c*k - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48\/97 + -1\/194. Let u = 0 + 0.2. Let z(p) = 2*p + 6. Let s be z(-5). Put u, s, t in descending order.\nAnswer: u, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 1\/25*n**6 - 1\/15*n**4 - 1\/105*n**7 + 1\/5*n**3 - 21*n**2 - 1\/25*n**5 + 0 + 0*n. Factor u(b).\nAnswer: -2*(b - 1)**3*(5*b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32671 = 1852*q - 5413 + 3981 + 18765 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f**2 - 47*f**2 - 15*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 97 + 434 = 4*u, u + 2*n = 141. Let g = -75 + 77. Suppose -2*f + g - 73 = -3*y, 5*f = -3*y + 106. Calculate the highest common factor of y and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.650646ug in kilograms?\nAnswer: 0.000000000650646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 646818*j**3 - 16*j + 10969 wrt j?\nAnswer: 3880908*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 893 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 2*u)*(3*u**4 + 6*u**4 + 2*u**4).\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*g - 1286 = 6*z, 0 = -z + 5*g + 643. Calculate the remainder when z is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 18*y + 72. Suppose 0 = -10*a + 35 - 115. Is t(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 3*m = -m + 115, -32*h + 41*h + 155 = 5*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*r = 4*r, -d = 3*r. Suppose 5*z - 41 + 1 = d. Is (((-567)\/12)\/(-1))\/(3\/z) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.82004 to two dps.\nAnswer: -8.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11146 - -11486. What is the remainder when m is divided by 163?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11033 - -664?\nAnswer: -10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14540540, 4, -11 in decreasing order.\nAnswer: 5, 4, -11, -14540540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-38)*(h**(2\/5)*h)**(-18\/5) assuming h is positive.\nAnswer: h**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 194657916839774?\nAnswer: -194657916839773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*q - 5*k - 27, 3*k - 31 = -4*q. Let x be -2*(-92)\/40 - (-4)\/q. Let c = -1 - -4. Solve -2*j - 10 = x*a, 0 = c*j - 5*j + 2*a - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h. Give w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 17\/(-10))*(6 - 880\/120).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 72655.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101001011101001010 (base 2) in base 8?\nAnswer: 16513512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-27)\/(-9))*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2373 and 7458?\nAnswer: 52206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(68) + 0 + -4) - (-3 + sqrt(170)\/(sqrt(90)*-6)))*-5.\nAnswer: -300 + 1070*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15194 is divided by 452?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzgnggyiidyn. Give prob of sequence ni.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.24527 and -3.2?\nAnswer: 3.44527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(1*(-8)\/(-44)). Let q = x + 29. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 7*l + 4*l. Let m(c) be the second derivative of -2*c + 0*c**2 + 0 + 1\/12*c**4 + 0*c**3. Determine q(m(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*k + 41 + 94*k - 41.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-86)\/(-12) - (-14)\/(-84). Suppose -7 = m*c - 28. Suppose -3*w - 4*z = -28, -3*w + 0*w = -z - 8. Solve 0 = -5*q - v - 9, c*v = -4*q - w - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 64 = 122. Let t be (-4)\/(-22) - s\/22. Solve 0*m - 5*u = t*m - 7, 3*u - 10 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 2. Let z be k(7). Let m = -162.5 + 335.9. Let x = 173 - m. Which is the second biggest value? (a) x (b) -4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/37243 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 11 - 3 - 10)*(6*c - 5*c + 6*c).\nAnswer: -14*c**4 - 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 359\/757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 12. Let f be 1 - 12\/(-16)*z. Let q(n) = -n**3 - n**2 + 2. Let r be q(f). Solve -v - r = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y - 11. Let z be n(-7). Let a = z + -38. Let b be (10 - 12) + (4 - 2). Solve a*k - 2*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 6. Let c(t) = -t**3 - 6*t**2 - 17*t - 60. Let u be c(-6). Suppose 0 = -166*s + 160*s + u. Let x(z) = 4*z + 19. Give s*g(r) - 2*x(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 13*q**2)*(4*q - 4*q - 4*q) + (-7*q**3 - 2*q**3 - q**3)*(-5 + 2 - 3) in the form s*q**2 + w*q + v*q**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 44*f - 492. What is the thousands digit of u(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 + 400*m - 7 + 1 - 404*m.\nAnswer: -4*m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 936535, 936416, 936297, 936178?\n\"Answer: -119*k + 936654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, -5, -0.4, 202.\nAnswer: -30, -5, -0.4, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35764 is divided by 35111?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 62 - 79) + 51.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5334, 5336, 5338?\n\"Answer: 2*l + 5332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 270503 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**23\/(k**9)**(-8\/11) assuming k is positive.\nAnswer: k**(541\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/(-2340)*12*22\/4 and 38\/12 + (1 - 4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127739, 5\/6, 3, 5 in ascending order.\nAnswer: 5\/6, 3, 5, 127739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/5 (b) 2.5 (c) 718 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b7cd (base 15) to base 3.\nAnswer: 2021010120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*l - 2 = t + 142*l, -2*l - 8 = -2*t. Let y = -352 - -544. Suppose 2*a + t*a - y = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 11) + -2 - -2 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-724)\/(-18) + 242\/(-1089)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1063257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:59 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d2c (base 14) to base 3.\nAnswer: -10112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1426)\/16)\/(2\/284). Let c = s - -12812. Let y = 157 - c. Sort -2\/9, y, 5\/3 in decreasing order.\nAnswer: 5\/3, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -37. Calculate the remainder when 34 is divided by 26\/(8\/d + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjnqnnqqjjqjq. What is prob of picking 2 j, 1 q, and 1 c?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/16218*51*2\/(-4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 44 + 2108*u + 1923*u - 4029*u.\nAnswer: 2*u + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 83\/4 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 - 25*s**2 + 4*s + 101. Let u(y) = -6*y**3 - 22*y**2 + 3*y + 100. Let z(l) = -4*u(l) + 5*x(l). List the prime factors of z(-38).\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-72)\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 56 - 4 = 0. Suppose -70 = -n*a + 5*a. Factor -11 + 2*r**2 - a + 10*r + 31 - 2*r.\nAnswer: 2*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2)**2 + (1*sqrt(605) - sqrt(605) - sqrt(5)).\nAnswer: -sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1820, 7276, 16350, 29024, 45280, 65100, 88466, 115360?\n\"Answer: -3*o**3 + 1827*o**2 - 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 12*p**2 - 4*p**2 to a + z*p + y*p**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-2)\/40)\/((-5)\/100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 192 + 96. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*u - 509 + 2052 - 510 - 507 - 526 + 196*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j - j)*(0 + 5 - 4)*(3 - 5 + 1).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 5 - -3) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -26. Let g = 1.2 + 1.2. Let h = g + 1.6. What is the closest to p in h, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/2)\/(u**(-1\/12)*u))\/(u*u**(-3\/7)*u\/(u*u**2)))**28 assuming u is positive.\nAnswer: u**(253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/60922768 and 29\/2648816?\nAnswer: 60922768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111\/19 or -7?\nAnswer: -111\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61513*m - 178438?\nAnswer: -61513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153*0.5.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 12. Does 4 divide (k\/6)\/((-6)\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 16\/(-3). Suppose 0 = -g + 4 - o. Let w be ((-3)\/5)\/(8\/5). Is g less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 - 7*b\/4 - 5\/2 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6599 is divided by 574?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/2)\/((-2)\/4). Suppose f*j + 12 = 7*j. Which is smaller: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2994 (base 16) to base 8.\nAnswer: -24624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1046015871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -96, -94?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, r: 4, k: 3}. What is prob of sequence rhr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.75 - -1.75. Let i = 8.4 - 8. Let q = 127\/3 - 43. Which is the nearest to q? (a) 4 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*s - 1363, 2*k + 1373 = 4*s - 3*k. Let n = s + -163. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = 3*x. Let m(z) = z + 21. Let f be m(x). Suppose -3*s - 5 = f, -301 = -3*k + 2*s. What are the prime factors of k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Find the common denominator of (-287)\/(-14)*4\/(-6) and (w*(-2)\/(-12))\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 29c?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 3. Suppose -8*k = -9*k + 2*f + 16, 5*k - 24 = -4*f. Let r(i) = 2*i - 2 + k*i + 5 - 9*i - 4. Determine 2*r(l) - t(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -1314. Let l = 1825 - g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6504203 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + o**2.\nAnswer: -o**2*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/36 or 55\/3284?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3245781 divided by 98357\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 29*l**3 - 13*l**3 - 6*l**3)*(l + 4 - 4) in the form r*l**2 + x + c*l**4 + b*l + z*l**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**2 - 248955 + 69*y**2 - 24*y**2 + 248955 - 20*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 103 = 5*y, 2*c + 3*c = -2*y + 170. Find the third derivative of -38*d**2 - 5*d**2 - c*d**2 + 37*d**4 + 11*d**4 wrt d.\nAnswer: 1152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 - 116. Solve -d + i*s - 8 = -22, -s - 13 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(-26\/9))\/y)\/y*y**36 assuming y is positive.\nAnswer: y**(350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 + 0)*(-21 - 4 + 6)*(21*k**2 + 7*k**2 + 2*k**2) to the form b*k**2 + s*k + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 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: Find the second derivative of -24*i**2*u**2*z**2 - 2*i**2*z**2 - i*u*z + 16995*u**2*z**2 - 63*z**2 wrt u.\nAnswer: -48*i**2*z**2 + 33990*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -5 - (52 - -20 - 48).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 30, 22, 2, -36, -98?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.04, 3\/7, 412\/25 in decreasing order.\nAnswer: 412\/25, 3\/7, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 4*g**2 - 4*g + 5. Let f be j(4). Suppose -3*q + 2*c + f = 0, 7*q - 2*q = -4*c + 59. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {a: 1, t: 4, j: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.07, -0.2, 4\/7, -4 in increasing order.\nAnswer: -4, -0.2, 0.07, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82656848*g**2 - 272126511*g wrt g?\nAnswer: 165313696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:41 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.07 - -0.07. Let i = r - -3. Put 2\/13, 1, i in descending order.\nAnswer: i, 1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -431?\nAnswer: -5\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38482 - -153\nAnswer: -38329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12765 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(304))**2 - (2*sqrt(684))**2.\nAnswer: -2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-9)\/(36\/(-8))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261935763 a multiple of 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 138867.6 to the nearest one hundred.\nAnswer: 138900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3 (c) 0 (d) 2\/11 (e) -272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 30*s - 48. What is the tens digit of k(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10) - 11\/15)*(-88 - -88). Solve 24*z - 66*z - 294 = g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (0\/(-3) + -5). Suppose 0 = 4*c + 3*j - j - 544, b*c - 5*j = 572. What is the units digit of c\/12 + 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25561921?\nAnswer: 7, 11, 331973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 0 (c) -23.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**4 + 5*p**3 - 5*p**2 + 5*p + 6. Let s(z) = 6*z**4 + 4*z**3 - 4*z**2 + 4*z + 6. Let q(n) = -4*o(n) + 5*s(n). Differentiate q(h) wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*z + 280 = 0, -104*z + 283 = 5*w - 106*z. Let p(t) = 7*t**2 + t. What is the remainder when w is divided by p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and (-4214)\/(-1260) - (-4)\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 0*y = -64 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522606078.\nAnswer: 2, 61, 20677099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 105, 2, -19 in decreasing order.\nAnswer: 105, 2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**3 + 5*x**2 - x - 10. Let b(q) = -q**2 + 2. Give -4*b(j) - h(j).\nAnswer: 6*j**3 - j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27.38 * -0.4\nAnswer: -10.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*o + 1 - 1)*(-1 + 4 - 4) - 3*o - 2 + 2 + 5*o - 4 - 3*o + 9)*(-14*o + 14*o + o**3) as r*o**4 + u*o + y*o**2 + x + z*o**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z - 15. Suppose -2*w = 3*h + 6 - 22, -z*w = 4*h - 20. Let k be 20\/16 - 2\/h. Are k and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(168)\/(sqrt(7)*-2)*-2)\/(((sqrt(392) - (sqrt(392) - (sqrt(392) - -6*2*sqrt(392))) - sqrt(392)) + sqrt(392))*1).\nAnswer: -2*sqrt(3)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368746*20.\nAnswer: 7374920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = 196 - 4616. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 22*v**2 - 19*v - 38. Let t be b(21). Suppose -6*n - 11 = -7*n. Suppose 0 = -w + 2*w. Put t, w, n in ascending order.\nAnswer: w, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1188\/12 + -1*1. Let c = h + -63. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (166 - 327 + 168 - 2*r)*(-3*r**2 + 5*r**2 + 2*r**2) to the form t*r**3 + o*r**2 + g*r + b and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 0 - 3\/(-1). Suppose -5*n + 7 + 3 = r. What is the remainder when 56 is divided by 60\/3 + (n - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43\/2 of a micrometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10241334022244 + 0?\nAnswer: 10241334022244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o + 7. Let l = 31 + -53. Let v = l - -16. Is z(v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5264)\/2256*(-18)\/56.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5 - 2*x**4 + 1036*x**3 + 6104*x**2 + 12080*x + 8000 = 0.\nAnswer: -20, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3. Let q(y) = -4. Let w(m) = -2*q(m) + 3*v(m). Let d be w(1). Suppose -d*x + 4*n + 106 = 0, 122 = -4*x + 6*x + 4*n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - 7*b + 5*b**2 - 4 - 2. Suppose 3*t - 2*m = 37, -4*m = t + 6 + 5. Is g(t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 10. Is (-7)\/35 - 7092\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 14 = -2*t, -2336*l = -2332*l + t - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*w**3 - 85*w + 0*w**2 - 14 - w**2 + 6 - 7*w**2 + 169*w**3 to the form z*w**2 + g*w**3 + r + f*w and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/((-15)\/6))\/(-2))\/(76\/171)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-10)*(3\/(-27))\/((186\/(-396))\/31)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -46, 16, 172, 452, 886?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99)*-1)\/(6*sqrt(36)\/sqrt(4)) - (-2 + sqrt(176) + sqrt(88)\/sqrt(512))**2)*4.\nAnswer: -12235\/16 + 200*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/415941 or 1?\nAnswer: -70\/415941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 - 27*y - 31. Does 33 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/192)\/((-1)\/(-36)). Let s(x) = -x**3 + x**3 - 8*x**2 - x**3 - 10*x + a*x. What is s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1521*x**2 - 312*x - 16 = 0.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(4 - 4 + 5)*(2*z - 2*z - 3*z**2)*(-4*z + 6*z + 0*z).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045*v = 1019*v + 13572. What is the remainder when v is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17537, 140245, 473299, 1121873, 2191141, 3786277, 6012455, 8974849?\n\"Answer: 17529*v**3 - v**2 + 8*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -239 + -5aa?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - -81. Let l = 45 - u. Let y = l + 120. Which is smaller: y or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) + -3 - 24\/(-16). Let p(o) be the first derivative of 0*o + 3 + 1\/4*o**4 + 0*o**3 + n*o**2. What is the second derivative of p(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = o - 7*o. Suppose 0 = -2*b - 3*b + o. Suppose 3*m - 125 + 14 = -2*i, -b*m + 202 = 4*i. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = -3*o. Let j be 4\/o - 78\/(-5). Suppose a + 0*a + h = 15, -21 = -a + 5*h. Calculate the greatest common factor of a and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2478, -5376, -9120, -13710, -19146?\nAnswer: -25428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 20, 12*m - 7*m - 105 = 5*k. Suppose 24*q = m*q + 49. What is the greatest common divisor of 70 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + 1 + sqrt(300) + 0 + -1)**2 + 2)*-6.\nAnswer: -1896 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 0. Let x be 4*(-6)\/(-4)*r. Solve x = 5*y + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 540? (a) 5 (b) -2 (c) 3\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7*h**2 + 8*h + 7. Let n be i(-6). Let r = -3 - n. Let m = -2.2 - 2.8. Which is the third biggest value? (a) m (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = 3, o = -2*q - 432. Sort 1, -5, 3, -4, q in descending order.\nAnswer: 3, 1, -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 times 0.047\nAnswer: -4.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 191 = -169. Let h be (j\/75)\/(2\/5). Find the third derivative of -h*y**4 - y**4 - 6*y**2 + 2*y**4 - 5*y**4 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/12*x**4 - 5\/2*x**2 + x + 1\/2*x**3 + 0. Suppose 7*h = 2*h + 20. What is a(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048462 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 take away 424421882.87?\nAnswer: -424421843.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.02351037\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let g be ((-1016)\/20)\/(i\/(-5)). Suppose -2*n - 4*w = -g, 0 = n - 2*w - 178 + 47. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 3:26 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/7 + 12*q**2\/7 + 15*q\/7.\nAnswer: -3*q*(q - 5)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.58260858 and 0.02.\nAnswer: -0.56260858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 2\/15, 4\/9, -2\/9, 21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1. Let z(b) = -3*b - 25*b - b**2 + 10*b + 6*b + 63. Let p be z(-16). Let x(u) = 3*u + 8. Give p*x(m) - 3*k(m).\nAnswer: -3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, u: 2}. Give prob of sequence uuk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -583 or 368\/51?\nAnswer: 368\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**3 - 196*u**2 + 389*u - 5. Let l(c) = -6*c**3 - 196*c**2 + 388*c - 4. Let o(r) = 5*l(r) - 4*y(r). Factor o(m).\nAnswer: 2*m*(m - 96)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5090\/41 - -124. Let u = s + -64\/123. What is the closest to 0.2 in u, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62 + -212.62. Let n = v + 211. What is the smallest value in -5, n, 4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 6) in base 11?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l)**(-13))**(-1\/36)*(l*l\/(l\/l**(-2)))**(6\/13)\/(l*(l\/(l*l\/(l**1\/l)*l))\/l)**(5\/2) assuming l is positive.\nAnswer: l**(893\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, q: 6, e: 2, m: 1, t: 3}. What is prob of sequence meqc?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**3 - 3*r**2 - 3. Suppose -3*t - 39 = -3*f, -64 = 29*t - 24*t - 4*f. Let b(h) = -h**3 + h**2 + 1. Give t*b(y) - 4*p(y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -20*d**2. Let z = -667 - -666. Let b(n) = n**2. Let r(c) = z*p(c) - 4*b(c). Let q(j) = -10*j**2. Determine q(r(t)).\nAnswer: -2560*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450)*1 + sqrt(450))) + (-2*sqrt(198) + sqrt(198))\/sqrt(11))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/41 - 214\/451. Which is the nearest to 2? (a) 1\/5 (b) -1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 11*d**2 - 15*d - 19. Give z(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -136. Calculate the remainder when 124 is divided by t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 67225480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(20\/30). Let g(l) = 3*l**2 + l. Determine g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((x + 0*x + x)*(3*x + 0*x - 2*x) + (0*x + 4*x - 2*x)*(0*x + 4*x + 0*x))*(-5 + 16 + 2) in the form q + b*x**2 + m*x and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/12 (b) -0.4 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drieril. Give prob of sequence ide.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 14. Let x = g + 4. Solve 0 = h + x*r + 15 - 4, -4*r + 8 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7 - -1 - -7) + -8 + -101?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 5. Let w(u) be the first derivative of -u**2 + 4*u + 9. Let o(k) = 4*j(k) - 5*w(k). Let i(y) = y. Determine i(o(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 1334, 124 in descending order.\nAnswer: 1334, 124, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.71 + 0.29. Let d = u + -12.0028. What is d rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d1db7 + -2?\nAnswer: -1d1db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -176817.038 rounded to the nearest 10?\nAnswer: -176820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.3 - -6. Let o be (10\/6 + -2)*-3. Let m be ((-1)\/(-2))\/(-1) + 0. What is the closest to m in c, o, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p**(-4)*p)\/p))\/p*p))**(1\/41)*(p*(p*p*p**(2\/3)\/p*p)\/p)**(15\/7) assuming p is positive.\nAnswer: p**(1612\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 40. Solve -m = d + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289940)\/24852*6\/(-11620).\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110002220101000 (base 3) to base 12\nAnswer: 21a3760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/17069)\/(75\/(-975))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275915?\nAnswer: 5, 139, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2288, -1, 94, 5, 3, -7, 1 in decreasing order.\nAnswer: 2288, 94, 5, 3, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-5 - (2 + -5)). Let -3*c**2 + 2*c**4 + 19 + 6*c**3 - c**i - 3 - 24*c + 4*c**2 = 0. What is c?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*t - 292?\nAnswer: -303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/14 and 54\/49?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from ycyswascsyvy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 2*n + 2. Let h(r) = 17 + 18 - 36 + r + r**2. Suppose -2*x + 5*x = -12, -m - 3*x = 6. Determine m*h(k) + 3*d(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -10*z - 8. Suppose 0 = -3*n - 3*t + 4*t + 44, 4*n = z*t + 48. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.149 - 0.049. Which is the fourth smallest value? (a) 5\/4 (b) 1 (c) 0.08 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -2*b - 8, 0 = 4*u + 4*b + 8. Is 13\/6 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1 - -1) + (-8 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694644.8 kilometers to micrometers.\nAnswer: 694644800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a69d (base 16) to base 3.\nAnswer: -2011111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Let b(l) = -2*l + 5. Let k be b(0). Suppose -33 = -3*u - 3*q, k*u + 2*q - 36 - r = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 4*g - 1. Let t be z(4). Suppose 0*k = 3*k + 42. Is t + -1 - -3 - k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 12*n + 3. Determine y(-11).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-116)\/(-3))\/(6\/27). Let n be a\/21 + 2\/(-7). Suppose 6*v - n = 4*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 3*r + 12 = 0, -3*r = -3*d + 6. Let s = d - 4. Calculate the smallest common multiple of 20 and (8\/(-5))\/(2\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 9*p - 687. Let m be s(22). Let k(t) be the first derivative of -13*t**2\/2 + 9*t - 2. Let u(d) = -9*d + 6. Calculate m*k(j) + 7*u(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 1 + 4*k**2 + 2*k**2 - 8*k**2 as w + c*k + d*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 + 30. Let t = -91 - z. What is the remainder when 124 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*p, -n + 3 + 9 = 2*p - p for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9010 - 180183\/20. Let x(z) be the second derivative of 0*z**3 - 5*z**2 - o*z**5 + 0 + 0*z**4 + 25*z. Differentiate x(s) wrt s.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97550?\nAnswer: 2, 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s - 1. Let v(p) = 1 - 1 + 51460*p - 51425*p. Calculate v(i(y)).\nAnswer: 175*y - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 14950497.805693.\nAnswer: 14950500.805693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-55) + 48\/(-143). Let j = -7.8 + 7. Let w = 1.1 + j. Which is the third smallest value? (a) o (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 44, -6 in ascending order.\nAnswer: -6, 1\/14, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145, -152, -163, -178, -197, -220, -247?\n\"Answer: -2*q**2 - q - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 2\/19 (c) -1455 (d) -1\/8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 155.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3174436577\/1709 - 1857482. Let d = b + 275893\/225588. What is the common denominator of d and -39\/16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/5)\/(4\/10). Suppose -w = b + 2*b. Let u = 3 - b. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**3 - 4*r**2 - 8*r - 13. Is d(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841471862 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.077 - -6.523. Let b = 116.6 - m. Let g = 110.00158 - b. Round g to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 128058.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 + 2 - (-5 - 70))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3809, 3659, 3507, 3353, 3197, 3039?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 19*d + 47 + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 15. Suppose 0 = 6*x + 12 - 72. Let r be o(x). Solve -5*c = -r*b, -b = 3*c + c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -609\/5 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/7 and -41\/279.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/25)\/((-4)\/10). Which is the third smallest value? (a) q (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(304)*4)**2.\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -3*b - 44. What is the remainder when 166 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1584)*-2 + sqrt(1584))**2 - sqrt(11)*1*4).\nAnswer: -4*sqrt(11) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 83. What is c(26)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 134. Calculate the remainder when 143 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6 + j**2 - j**2 + 7*j. Let g be h(-5). Let d = g + 7. Solve 2*c = -d*p - 3, -c = -4*p - 6*c - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/1582)\/(18\/7)*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 - 7*d - 1. What is v(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 4. Let m(v) = -v**3 + 10*v**2 - 8*v - 12. Let x be m(9). Suppose 4*d = -4, -3*l = -0*l + 2*d + 8. Let i(h) = 2*h + 5. What is l*i(r) + x*w(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 38*n + 341, 5*n = 2*m + 173138 - 173185 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 292111281?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7553, -30136, -67763, -120434?\n\"Answer: -7522*k**2 - 17*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 i when three letters picked without replacement from {b: 1, u: 3, i: 2, h: 1, z: 3, o: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 99. Let k(i) = 8*i + 20. Let v be k(r). Solve 9*n + 5 = v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*x + 37*x + 9*x**2)*(19*x + 13*x - 8*x)*(-2 + 3 + 0)*(0 - 6 + 3) - x**3 + x**2 - x**2.\nAnswer: -649*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 80. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 31*j = -10240. Let g = j + -448. What is the smallest common multiple of 4 and g?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 46*p + 7. Let h(y) = -2*y**2 + 39*y + 6. Let t(q) = 7*h(q) - 6*x(q). Let o(j) = 23*j**2 + 8*j. Give 3*o(m) + 8*t(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j - 2622, 218*m + 5*j + 3496 = 222*m. What is the highest common factor of m and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -61343?\nAnswer: -61343.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**7)\/(f**(-7)\/f))\/(f**3*f**(-2)*f))\/((f*f**(1\/11)*f*f\/(f**(-2\/3)*f))\/((f*(f*f**(-2\/3))\/f)\/((f**(-2)*f)\/f*f))) assuming f is positive.\nAnswer: f**(415\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83166344 by -152.\nAnswer: 547147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7 = 2*r + 7, -5*r + 23 = -2*l. Suppose 4 = -h + 2*h. Suppose 2*c + h*v + 16 = 0, 2*c + 12 = -2*c + 2*v. Put r, 2, c in increasing order.\nAnswer: c, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -112732.\nAnswer: 33819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-224))\/(1\/39*1755\/(-1560))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13372.\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 552 - 932. Let q = h + 752. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 1)*(86 - 172 + 85 - 22*o)*(-2 + 1 - 7) to the form d*o + n and give d.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 35030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u**2 + 70*u**2 - 10 - 31*u**2 as q*u + l + c*u**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 6\/11 (c) 1\/6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13060869628 and -30.\nAnswer: -13060869658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/4))**(16\/5))**29)**4 assuming o is positive.\nAnswer: o**(-464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(297) + 2*sqrt(297)*2)\/(sqrt(1331) - 4*((sqrt(1331) - -3*sqrt(1331)) + sqrt(1331))))**2.\nAnswer: 108\/43681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 37*u - 9. Let h be o(-9). Suppose h = 18*f - 10754 - 71740. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28705, -58547, -88385, -118219, -148049, -177875, -207697?\n\"Answer: 2*k**2 - 29848*k + 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27*-3)\/(-35 - 11964\/(-342)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 - (-1 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150684 by -2.\nAnswer: -75342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5)\/((-17)\/(-36 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 3, s: 2, i: 1}. Give prob of sequence fass.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 times 19.11152?\nAnswer: -0.30578432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*c - 5 - 69, c = 2. Let o = x - -20. Solve 4*d + d + 4*s - 7 = o, -s = d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 135*v - 6722 = 4629 - 3046 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -22297.\nAnswer: -66891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-10 - -6) - ((-2 - 55) + -28 + 23)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225230 divided by -45?\nAnswer: -93894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - 24013043?\nAnswer: -24013126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = 18. Let t = x - 5. Solve 0 = -3*z - t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55486005 rounded to the nearest one hundred thousand?\nAnswer: -55500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u. Let t(g) = -4*g. Let n(b) = 3*s(b) - 8*t(b). Let z(j) = -2*j + 13. Let v be z(6). Calculate n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*i - 29 + 11 = 0, 3*i = -5*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2 - 4*y + 4. Let o(l) = -47*l**2 + 6*l - 14. Let g(i) = 64*i**2 - 8*i + 19. Let c(u) = -8*g(u) - 11*o(u). What is -7*c(p) + 4*r(p)?\nAnswer: 9*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 474 - 214. Let b = 105 - w. Let d = b - -155.000081. What is d rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 13*y - 1. Find the common denominator of 113\/14 and d(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from oohdvvwwhoso?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 + 7*v - 5 + 5.\nAnswer: 6*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 8*f**2\/9 - 70*f\/3 + 52\/9 = 0.\nAnswer: 1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1064\/210 + 3\/(-180)*4. Calculate the highest common factor of 47 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157 and 6437?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 8, -1\/4, 494?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 115597730 rounded to the nearest 100000?\nAnswer: 115600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103142*b**5 + 469*b**3 + 114377133*b**2 wrt b?\nAnswer: -6188520*b**2 + 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*o - 320*o = -233*o - 7992 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 1. Let a be g(-2). Let n = 12 + -383\/32. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 10*q - 504. Suppose 68*j - q*j - 40 = 0. Sort j, 2, -13.\nAnswer: -13, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105916, 211824, 317732, 423640, 529548?\nAnswer: 635456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12265 - 12261. Sort 13, 17, f.\nAnswer: f, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.1. Let r = z + -0.8. Let y = -0.01 - -1.01. Which is the closest to y? (a) -2\/5 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*w - 14, 2*d - 5*w - 28 = -d. Let y = 13 + -13. Suppose -d = -y*p - 3*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62852, -126506, -190160?\n\"Answer: -63654*j + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + (-6 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 4 (c) 2 (d) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1873 - 1288. What is the highest common divisor of 130 and j?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2173 - 3627 = 0. Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7122512 microseconds to seconds.\nAnswer: 0.0000007122512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 0. Which is smaller: c or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 13*d + 5*m = 5, -2*d + m = 1. Suppose -14*f + 6*f + 16 = d. Let h(u) = -2*u + 1. What is h(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.04 times -3473?\nAnswer: 17503.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 44*f + 134. Calculate r(-10).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3792686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/4 + w**3\/3 - w**2 + 7*w. Let b be r(-2). Let x(h) = 4*h - 14. Is x(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(57)\/(sqrt(21)\/sqrt(7)*-6) + 4 - (-2 + 2*sqrt(475))*2))**2.\nAnswer: -2904*sqrt(19) + 280483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1176 and 491421?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -511*g - 25 - 498*g + 1001*g. What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20723*q + 186474. Calculate c(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + -0.1. Let g = z - -1.8. Let h = 211\/4 + -53. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49144 + -49146. Let s = -4 + 3. Let l = s + 1.2. Which is the third biggest value? (a) l (b) -11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -120, 11, 0, -5.\nAnswer: -120, -11, -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 1. Let x = 6 - 8. What is the units digit of l(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q. Suppose q = -s + 2*s - 2. Suppose 0 = 6*j - s*j - 16. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**4))**(9\/7))**(-3\/2) assuming o is positive.\nAnswer: o**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -85*y**3 + 410*y**2 + 6330*y + 33210. Let v(q) = -3*q**3 + 2*q**2 + 3*q + 3. Let i(h) = -30*v(h) + x(h). Factor i(w).\nAnswer: 5*(w + 12)**2*(w + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186728491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382 + 497. What is the remainder when g is divided by (-1)\/1 + (-3 - -17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t + 4*t. Let r be (1\/2)\/((-1)\/(-4)). Let c = r - t. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/344 and 111\/140.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v - 6. Give q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.82 - 17.82. Sort 0, s, 0.1, 0.05 in decreasing order.\nAnswer: s, 0.1, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (67 + (9 - 17))\/1 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 33. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4515.07 * 870.\nAnswer: 3928110.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90680.\nAnswer: 2, 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 534021837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:45 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let l be ((-2)\/r - -4)*-1. Let x be ((-2)\/3)\/((-5)\/(75\/(-10))). Is x at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r - 2. Let h = 3 + -5. Suppose o - 3*i - 65 + 23 = 0, -5*o + 192 = -6*i. Calculate the remainder when o is divided by u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from ggkg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/420 + i**4\/42 - 2*i**3\/21 + 6*i**2 - 16*i. Let g(f) be the first derivative of r(f). Find z such that g(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2181.\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11126624 (base 9) to base 3.\nAnswer: -101010220200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 13*s - 25. Let r be q(-10). Suppose -19 = -r*t - 4. Suppose t*c = 3001 + 1106. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -915, -916, -917, -918?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 + 1?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**2 - 6*d - 6. Let r(t) = -532*t**2 - 247*t - 247. Let f(q) = 247*n(q) - 6*r(q). Let c(y) = -y + 109. Give f(c(i)).\nAnswer: -19*i**2 + 4142*i - 225739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 52*c = 60 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 10*i - 7 - i - i + i + (2 - 2*i - 2)*(5 - 3 + 0) + 1 - i - 1 + 2*i - 1 + 1.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 20 = 4*o, -2*a - 6 = -6*o + 7*o. Suppose -o*q + 67 = 3*k, -40 + 141 = 3*q + 5*k. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 612, 1406, 2550, 4062, 5960, 8262, 10986?\nAnswer: 14150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203379?\nAnswer: 3, 11, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*t - 10, 362*t = -3*k + 359*t + 15. Solve -10*i - 549 + 539 = k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d**2 - 7642587*d - 5095062 = 0.\nAnswer: -2\/3, 849177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = n + 6*i - 22, 0 = -3*n + 4*i + 14. Suppose -136 = -3*o - 4*v + 186, 2*o = 4*v + 228. What is the greatest common divisor of o and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12439 + 4017751\/323. Let q = f - 1149\/646. Calculate the common denominator of q and 121\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 74. Let l = j + 83. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 6*d + 4*u, 3*d - 3*u = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 64 + 88 = 0. Let v = 7 - 11. Is q at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5982700 to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*k - 31. Suppose -4*j = 2*q + k, -5*j = -0*q + 2*q - 3. Let s(p) = -p**3 - 10*p**2 + 5*p + 6. What is the units digit of s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2941 and 819774?\nAnswer: 141820902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8016*a**2 + 16 - 3*a**3 + 8 - 4 - 8010*a**2 + 13*a + 4*a**3. Determine v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -11*c + 30*c. Calculate the greatest common factor of 300 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5985)\/(-1596)*6\/30)\/(11\/48).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 52 = 21*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g**2 - g - 3. Let u be 0 + (-1 - 1) + -1. Let m be t(u). What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.3 and -1.242.\nAnswer: -12.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49.0888m?\nAnswer: 49088800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 8*w**2 - w - 1. Let g be d(8). Let a be (-6)\/g*(-2 + 5). Let -4*c**2 + 10*c**3 - 3*c**4 - 10*c**5 + 5*c**4 + a*c**4 = 0. Calculate c.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 2133 - 583 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10100587 and 4328823.\nAnswer: 30301761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3 - 2. Let r(b) = b + 2. Let j(m) = -1. Suppose 5*h - 16 + 4 = -2*p, -p + 3 = h. Let q(c) = f*r(c) + h*j(c). Let o(u) = 2*u. Calculate q(o(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19155 and -4.\nAnswer: 76620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 5*v - 2*v)*(v**2 + v**2 + 4*v**2) + (-v**2 + 4*v**2 + 0*v**2)*(-1 + v + 1) in the form k*v**2 + x*v + z + n*v**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/13 + 896*u**4\/13 + 82240*u**3\/13 + 186848*u**2 + 2083744*u + 5732480 = 0. What is u?\nAnswer: -26, -4, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -7*z + 2*z. Let x = 18 + z. Suppose -3*t + 135 = 4*g - 0*t, 0 = -5*g - x*t + 169. Solve -2*f + 5*h = -g, f + 2*h - 2 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 3341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 146. Let u(m) be the third derivative of -m**6\/24 - m**5\/60 + 4*m**2. What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 18 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 2*t**6\/45 + 127*t**5\/15 + 496*t**4\/9 + 328*t**3\/3 + 20*t + 111. Suppose w(y) = 0. What is y?\nAnswer: -123, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-2*sqrt(6) - sqrt(6) - sqrt(6))*6.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + g = -7*i + 9, 0 = 2*i + 5*g - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389221?\nAnswer: 7, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 275512340333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -159.\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -145. Let h(c) = 3*c**2 - 2*c + 3. Suppose u + 0*u - 3*l = -7, 2*l = -4*u + 14. Let k be h(u). What is the greatest common factor of k and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u + 2*u**3 - 4*u**3 + 3*u**3 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -29*s - 20. Let y(k) = 2. Let r(f) = -2*f + 4. Let z(j) = r(j) - 2*y(j). Calculate z(c(v)).\nAnswer: 58*v + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*a**2 + 3*a**2 - 4*a**2 + 4*a**2 + (2*a - 3*a + 0*a)*(-4 + 4 - 2*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m - 14*m**2 + 51*m - 16*m - 17*m. Give s(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1607735239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2 - -58)*(5 + -4). Let s = x - 17. Is s + 105 - (-2)\/(4\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/14 - (-8169)\/(-7938) and -61\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-636 + 392 - 2507*y + 120 + 6780*y + 120)*(5*y - 4*y - 3*y).\nAnswer: -8546*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*u - 43*u - 630 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11350*n**5 - 1179*n**4 + 48269670*n wrt n?\nAnswer: 227000*n**3 - 14148*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 41*l**6\/6 + l**4\/4 + 2*l**3\/3 + 822*l**2 + 2571. Find the third derivative of j(m) wrt m.\nAnswer: 2460*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 11951, 40117, 94919, 185237?\nAnswer: 319951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**3 + 2*s**2 - s - 2. Does 10 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**1)\/(f**(-3\/7)*f))\/(f**(-7)*f*f**1))\/(f**(-1)*f*f**(-3)*f)**(2\/3) assuming f is positive.\nAnswer: f**(163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4823875.\nAnswer: 5, 7, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 - i**5\/6 + i**4\/6 + i**3\/2 - 4*i**2 - 64. What is k(-10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/1 + 117\/15. Put n, -42, -5\/6, 2 in decreasing order.\nAnswer: 2, n, -5\/6, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 16. Let y(v) be the third derivative of v**4\/12 - 395*v**2. Calculate b(y(a)).\nAnswer: 4*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.800749 rounded to one decimal place?\nAnswer: 50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(1\/((-6)\/(-4))). Let c(z) = -2*z + 13*z**3 + 4*z**2 + 1 + 11*z**3 + 14*z**h - 39*z**3. Give c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 35. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r. Let t(u) be the third derivative of 0 + 0*u**3 + 0*u - 1\/24*u**4 + 3*u**2. What is t(a(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 - (1 + -1) - (10 + -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -35. Let j = 78 + c. Calculate the lowest common multiple of 9 and j.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1023925*n**3 - 5720967*n**2.\nAnswer: -6143550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/4 - 443008*t**3 - 196256088064*t**2 = 0?\nAnswer: -886016, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6048512 tonnes in micrograms?\nAnswer: 604851200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-516)\/576*(-24)\/(-4). Solve 23 = -4*n + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-120) + 8\/90. Let v(n) be the second derivative of 0*n**2 + 0 - 1\/18*n**4 - w*n**3 + 5*n. Solve v(m) = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from iiiqqiiiiqq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2233\/957*5*(-1)\/(-14).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3236 + -0.0646. Let s = t - 0.459. Let f = -3 + 2. Which is the nearest to 1? (a) f (b) s (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607196382?\nAnswer: 2, 733, 3824827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 - 8*h - 17. Let t = 237 + -234. Let k(g) = -2*g**2 - 3*g - 6. What is t*v(r) - 8*k(r)?\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -25*w**7\/42 - 14*w**6\/3 + 169*w**5\/4 + 305*w**4 - 1050*w**3 + 2*w - 1479. Suppose o(j) = 0. What is j?\nAnswer: -6, 0, 7\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 11*l**2 + 4 - 7*l. Suppose -20*b + 73 = 9*b + 276. Let c(n) = -16*n**2 + 6. Determine b*r(t) + 5*c(t).\nAnswer: -3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 15. Suppose -2*n - 26 = w + 3*n, -5*w = 5*n + 50. Let t be o(w). Suppose -4*i = -3*r + 4546, 4*i - t = i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 18*s + 18. What is the lowest common multiple of 8 and v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**5 + l**5 + 2*l**5 + (-2*l - 3*l + l**4 + 6*l)*(-2 - l + 2))*(-15 - 8 - 16).\nAnswer: 78*l**5 + 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:45 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c. Let h = -13 - -3. Let z be (-396)\/h + (-3)\/5. Let o(s) = -z*s - 3*s**2 + 39*s. Determine n(o(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqvvqqzqvvvvz. Give prob of picking 1 v and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/7, -282?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v + 101*v + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 12. Suppose 4*x - 17 = b. Suppose 5*p + 5 = 5. Solve -a = -p*a + x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + -1*-6*(2*(-1*sqrt(500) + -5))**2*-4.\nAnswer: -50401 - 9600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31862376 greater than or equal to 414210885\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 5*b**2 + 9*b**2)*(1 - 3*b - 1).\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1128 and -40\/517.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(576)*-4 + sqrt(576) + sqrt(576))\/(-1*sqrt(200)*-5 + sqrt(200)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n - 55*n + 19*n - 2*n**3 + 15*n. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + -1.08. Let t = -7.1 + 7. What is the nearest to p in 0.3, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(0 + sqrt(98) + (-4 + -2 + sqrt(98) - sqrt(98) - sqrt(98) - sqrt(98)) + sqrt(98)) + 5 + -1 + sqrt(98) + sqrt(98)*-3 + -2))**2.\nAnswer: 952*sqrt(2) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 50. Suppose x = z - 2. Suppose -z = -4*n - 17. Put 1\/3, n, 2\/3 in increasing order.\nAnswer: n, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/(5\/75). Let d = b + 6. Let w be 1\/(-2 + (-27)\/d). Solve 3*o = w - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/((-672)\/(-276)))\/(((-5)\/5)\/(-4))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cc4 (base 14) in base 16?\nAnswer: -2a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23499\/14*288\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 2*x**2 + 4*x - 7. Let k = 22739 - 22736. Give b(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199969 (base 12) to base 10\nAnswer: 452385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(3) + sqrt(3) + sqrt(12)*-6.\nAnswer: -10*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14368 * 924\nAnswer: -13276032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r + 2*r)*(3*r**3 - 3*r**3 + 2*r**3) + (3*r - 3*r + 2*r**4)*(0*r + r - 2*r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98.9 - 1.9. Let q = -96.4 + g. Let k = -3 + 2. Put k, 1\/3, q in descending order.\nAnswer: q, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 11 = 4*o, 4*b - 4*o = 166420. Suppose -37*x + 35*x = 10, -q + 5*x = -b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430250 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-19) - (-828624)\/(-2712060)?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g - g)*(g - g - 2*g) - g**2 - 8*g**2 + 4*g**2 + (0 - 2 + 1)*(13 - 13 - 7*g**2).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 + 3858*a**3 - 46404*a**2 + 139320*a = 0. Calculate a.\nAnswer: -3870, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6*d - 16 = 2*d, 2*v - d = 11. Suppose -5*x + 145 = -5*h, v*x - 108 = 2*x + 2*h. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 4. Let u(t) = -7*t + 8. Let n(z) = 7*q(z) + 4*u(z). Let k be n(-8). What is the first derivative of 60*b**2 + 6*b**4 - 2 - k*b**2 wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*p - 861*p - 749*p - 914*p.\nAnswer: -2632*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j = 237*j + 29*j - 3630 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -748.88 + 749.1. What is the nearest to -0.1 in 0.04, 0.1, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2077\/10 - -208. Let v = -3 + 3. Which is bigger: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*u - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 5. Suppose 3*k - 5 = -2. Let h(g) = g - 1. Let p be h(k). What is s(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**8\/840 + h**5\/40 - h**3\/2 - 3*h. Let w(l) be the second derivative of k(l). What is the second derivative of w(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/30)\/(312\/(-650))*-1*(-4)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11686344 is divided by 233?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 9. Let c(j) = -j**3 - 8*j**2 - 4*j + 9. Let n be c(-7). Let q be p(n). Solve 0 = -5*g + 3*t - 17, q*g + t - 3*t = -10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a. Let h = 20 - 15. Let o(g) = 6*g - 2*g - h*g - g. Give y(o(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4 + 10 + i**2 - 17*i + 15 + 2. List the prime factors of g(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 85. Let i be l(-48). Is i <= -346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 364 or -2551452?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 - 6b6b7?\nAnswer: -6b5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyqc when four letters picked without replacement from {c: 5, y: 1, h: 1, q: 2}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (26 + -3 + -6 + -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 5376\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -9 + 1. Let l = f - -12. Suppose -l*p + 32 = -2*x + 6*x, 13 = 5*p - 4*x. What is the greatest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - 0.1051.\nAnswer: -0.9051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4142 and 4585194.\nAnswer: 4585194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81955 and 6475.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 36 = 51*q. Suppose u + q*u + 532 = 0. Let m = 126 + u. Is m less than or equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8*c + 3*x + 0*x = 5, -c - 12 = -2*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - 11*g**3 + 148258 + 148267 - 296507 to l*g + k*g**3 + u + n*g**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5 - 7. Let f(m) = -m - 2. Let h(l) = 3*l + 5. What is i*h(w) - 15*f(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -29. Let p(w) = k + 11 + 115*w - 33*w. Is p(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + (14 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 54790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -3137143?\nAnswer: -32\/3137143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 2*w - 2*w - w + 2 - 2 + (-4*w + w + 4*w)*(-2 + 2 - 2) - 3*w + w + 3*w + 0*w - 3*w + 12*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -47*j**3 - 25*j**2 + 5*j - 169. Let w(c) = 71*c**3 + 35*c**2 - 7*c + 254. What is 5*w(i) + 7*x(i)?\nAnswer: 26*i**3 + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (25 + -13)) + -7 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 171*x**3 + 2*x - 2909*x**3 - 810*x**3 + 386*x**3 + 2*x**2 to i*x + t*x**2 + g + y*x**3 and give y.\nAnswer: -3162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2085 greater than -2084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -24. Sort 1\/5, k, -0.9 in descending order.\nAnswer: 1\/5, -0.9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1438 and 1.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzxhl. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 3. What is f(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269 - -271. Suppose -112 = -4*y - 2*r, w*r - 84 = -3*y + 5*r. What is the greatest common divisor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1636788, -1636794, -1636798, -1636800, -1636800, -1636798, -1636794?\nAnswer: -1636788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.7. Let r = w + 0.2999981. Round r to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142976902*y**2 + 165919756 wrt y.\nAnswer: -285953804*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73576677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2\/5 + 16548*t\/5 + 9936 = 0. Calculate t.\nAnswer: -3, 4140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -114*h**2 + 2166*h + 433. Give j(19).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*z + 10, -2*z = 4 - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(14\/(5*(-8)\/(-20)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 - m - 19. Let b be j(3). Suppose -249 = -i - 0*c + 2*c, b*c = 0. List the prime factors of i - (-1 + 5) - 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from svvrvrvrsvossssvosvs.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.982 + -18. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 67390?\nAnswer: 1\/13478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093 times -0.02?\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 2\/11, 0.1386, -0.2, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/60 + (12\/16)\/((-10)\/8). Let p = 2.5 - 0.5. Which is the nearest to p? (a) -0.1 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -28*v - 19. What is the tens digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3\/6 + 2*c. Let g(f) = -f**2 - 6*f. Let o(n) = -5*n - 77. Let a be o(-18). Let j = a - 12. What is j*g(l) + 6*k(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20640, 41279, 61920, 82563, 103208, 123855?\nAnswer: 144504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.2. Let k = o - 0.6. Let m = k - -4.3. Which is the third biggest value? (a) m (b) -2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14893\/(-2014) - (-2)\/(-19) - -6)*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/6737?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -321.4 - -289.886. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*v = 4*o - 110, 5*v = 4*o - 122. Suppose 4*q = 3*t + 41, -3*t + 8 = 2*q - 35. Calculate the greatest common factor of q and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) + (-8)\/(-36). Let v be 0\/(u - (-5 - -2)). Solve q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115384851 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*l - 16 = 0, -5*o + l - 18 = -8*o. Let u(b) = 4*b**3 + 4*b. Let k = 1 + 0. Let x(c) = c**3 - c. What is k*u(p) + o*x(p)?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**2 - 3*k**5 + 84*k**4 - 84*k**4 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 2. Let k(j) = -j**3 + j - 1. Let f(m) = -m**3 + 9*m**2 - 8*m - 2. Let t be f(8). Let p be k(t). What is d(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74076, 74089, 74104, 74121, 74140, 74161?\n\"Answer: z**2 + 10*z + 74065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4 - 52*z**3\/3 + 64*z**2 - 80*z + 133. Factor d(y).\nAnswer: 4*(y - 10)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29 = g - 3*n, 4*g - 5*n + 18 = 0. Let c = 13 + g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(0*b**4 - 5*b**4 + 2*b**4) + (0*b + 2*b - 3*b)*(7*b**3 - 5*b**3 + 6*b**3) as w*b**4 + j + q*b**3 + h*b + v*b**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/257? (a) 2\/7 (b) 0.2 (c) -14 (d) 1.43 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*q + 7, -q - 20*p = -15*p - 2. Is 5\/q*5\/25*-25383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6591 + 11579. Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:49 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u - 6. Let x(a) = 7*a + 6. Give 5*d(q) + 6*x(q).\nAnswer: 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-166)\/(-581))\/((-4)\/(-42)). Solve 4*i + 4*f = 0, -4*f - 2 = -b*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f)**0*f**(-2)*f*f**(2\/7)*f)\/(((f*f**0)\/f)\/f**(1\/8))**(-46) assuming f is positive.\nAnswer: f**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b35e43 + 2?\nAnswer: b35e45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didrq. What is prob of sequence idq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16097 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvvvkv. Give prob of sequence kvkv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1168 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 31 = -5. Let q = j + 21. Calculate the greatest common divisor of 64 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-2*(-1)\/14). Let l = h - -100. Let i(u) = -u**2 - 3*u + 2. Let m be i(-2). Which is the nearest to 1\/4? (a) m (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-12)\/(-60)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 505*p**2 - 10*p - 1. Let c = 183 - 179. Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*p - 4*n + 11, 0 = p + 4*n - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 2.9. Which is the closest to 0.01? (a) k (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 651609.\nAnswer: 4\/651609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/4 + 17*v**4\/2 + 51*v**3 - 994*v**2 - 12544*v - 32928.\nAnswer: (v - 12)*(v + 4)*(v + 14)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 29*n**2 + 37*n - 175. Calculate q(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 930257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 + -6 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11387 at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 299? (a) 0.2 (b) 3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6021 (b) 1\/8 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119 + 5287 = 163*v - 65*v + 134 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + 5*b - 1. Let h(k) be the first derivative of -k**3 + 2*k**2 - 2*k - 440. Give -5*h(y) + 4*z(y).\nAnswer: -y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - 3 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2075 - -1588. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -681.58 take away 3?\nAnswer: -684.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -66610434\nAnswer: 4\/11101739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2803, 11691, 26503, 47239?\nAnswer: 73899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1193 * -0.0079.\nAnswer: 9.4247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 7*c)*(-44707 + 44707 + 1061*c**2).\nAnswer: -5305*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42152502 + -6?\nAnswer: -42152511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awllltetesalsws. Give prob of sequence taat.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010010010 - 110010?\nAnswer: -10001011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 36, 0 in decreasing order.\nAnswer: 36, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1245370, 2491250, 3737130, 4983010?\n\"Answer: 1245880*m - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1434\/15 + (-10)\/(-25). Let a be (58\/8)\/29 + (-510)\/(-8). Calculate the greatest common divisor of w and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.234148*0.2.\nAnswer: 0.0468296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 2:22 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 372 + 1117 = 4*t, 5*a = -t + 1253. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {z: 2, o: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:19 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-2)\/(-2))*(-20)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1439*j + 1439*j - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 55*g - 344. Determine f(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -1. Suppose -5*h + 0*h = -5*t + 20, -3*h = -4*t + 16. Suppose -462 + 186 = -t*n. What is the remainder when n is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.078 + -3.922. What is the smallest value in -1, 0.03, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 4*b - 3. Let q be v(-1). What is the greatest common divisor of q and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -474.09 to 0 dps.\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**3 - 8*n**3 + 2*n**3 + (-2*n**3 + 1 - 1)*(2 - 5 + 1) to the form u*n + v*n**2 + o + l*n**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 151963788?\nAnswer: -151963787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 + 4*z + 1. Let i be v(5). Suppose 6*w = 4*w + i. Suppose w = 3*o + y, y = o - 8 - 5. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 - 4*d**2)*(6*d**3 + 30874 - 4*d**3 - 30863 + 203*d**2).\nAnswer: -4*d**5 - 406*d**4 - 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + 8*l**4 - l**4 + 18*l + (-3*l**4 + 0*l**4 + 2*l**4)*(-1 + 0 + 3) - l**4 - l**4 + 0*l**4.\nAnswer: -2*l**4 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 0*l**2 + 5*l**2 + 7*l**2 - 8*l**2. Let t(a) = 166*a. Give f(t(i)).\nAnswer: 137780*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 8) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-7) - (-8)\/28. Let o(h) = h**2 + 4*h + 4. What is the units digit of o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35725, -35735, -35751, -35773, -35801, -35835, -35875?\n\"Answer: -3*w**2 - w - 35721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-6)\/138)\/(119\/(-13685)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, -112.\nAnswer: -112, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Let u = t - -3.2. Let y = 3.7 - 3.3. Which is the second smallest value? (a) y (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113841 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/13)*o*o*o*o\/(o**(-13)\/o*o*o))\/((o**(6\/13)\/o)\/(o\/(o\/((o\/((o\/o**(1\/3))\/o))\/o)))) assuming o is positive.\nAnswer: o**(703\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1960)*-2)\/(sqrt(8) + -2*sqrt(392)))**2.\nAnswer: 980\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36736068 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -113. Which is the third biggest value? (a) -1\/3 (b) 0.8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5 + -2)\/(1\/(-10)). Suppose -o = -5*p - 79, -4*o + 4*p = -o - 248. What is the highest common factor of o and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))**(-41)\/(h*h*h**(2\/9)*h**(-2\/13)))\/(((((h\/(h\/(h\/h**5)))\/h)\/h)\/h)\/h*h**(-2\/15)*(h**(-1))**7) assuming h is positive.\nAnswer: h**(-89353\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*x + 291*x = 12. Suppose -1 - 11 = 4*s. Let j be -4 + 3 - (s + x). Which is the second biggest value? (a) -0.1 (b) -3 (c) 3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 824486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r = 15*r + 741 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 1. Let m(n) = -12*n - 5. Let i = -8 - -19. What is the remainder when m(k) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2397 and 59\/75.\nAnswer: 59925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let r = a + -1. Let d be 2\/7 - (-99)\/21. Solve 0 = d*s - 26 + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.067 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001702644 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*p - 63*p - 22 + 22.\nAnswer: -427*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16*o + 14*o + 1 - 10.\nAnswer: -2*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqhbbbbbh. What is prob of picking 1 b, 1 h, and 1 q?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 2*d + 11. Let z be b(-4). Suppose 3*f - 398 = -f + 3*j, -5*j = z*f - 284. Suppose 0 = 4*r - f - 90. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122693, 245897, 369625, 493883, 618677, 744013, 869897, 996335?\nAnswer: 1123333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (11 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + g - 459 - 1538, 2*g + 2646 = 4*m. Suppose -2 = -3*u + 1, 0 = -4*t + 4*u + m. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/105 - c**6\/15 + 17*c**5\/10 - 15*c**4\/2 - 127*c**2. Solve s(o) = 0.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 5}. Give prob of sequence dd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*v**2 + 0*v - 63*v**2 - 60*v**2 - 44 + v - 57*v**2.\nAnswer: 4*v**2 + v - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 59 = -59. Suppose a = 4*i - 0*o - 2*o, -3 = 3*o. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-4) - 2\/8. Suppose -2*a = 5*m + a - 1086, 0 = m - s*a - 231. Is 47 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -162245 + 306?\nAnswer: -161636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 9*o - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30984?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17662528 divided by -736\nAnswer: -23998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*x = 1512*x + 6220 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 (base 8) in base 7?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventy-five halves of a millisecond?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*q**2 - 123*q + 123*q.\nAnswer: 115*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b**2 + 2*b + 1. Let j be (-12)\/(-24)*(-12)\/(-2). Calculate l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i + 54*i - 148*i + 50*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24483302 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 113*m - 1921. What is the units digit of z(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5258, -5259, -5260, -5261, -5262?\nAnswer: -5263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 32*x - 2128 = 0. Calculate the highest common divisor of x and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = -85 - 185 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1db4 + -d?\nAnswer: -1dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50622*x**2 + 51302*x?\nAnswer: 101244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14806.0941 hours to weeks.\nAnswer: 88.1315125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - q = 31, r - 2*r = -q - 17. List the prime factors of (-12)\/(-4)*r\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -500162930*b*p + 4*p - 6064113 with respect to b.\nAnswer: -500162930*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28.2273 and 31733.5?\nAnswer: 31761.7273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75486 is divided by 6845.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18151391 * 0.06\nAnswer: 1089083.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3299\/8 - 413. Which is the third biggest value? (a) z (b) -4 (c) -2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.391621ms in days?\nAnswer: 0.0000023540696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 4707017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001565340966 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025396773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 223241316\/7 at least 31891617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 51 - (0 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25920+-3.5\nAnswer: -25923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4 - (2 - (5 + 1)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8 + 22*v - 7 + 4. Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3232 (base 5) to base 7\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - (4 + 0) - 4. Solve 4*r = -13 + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -1209*x**2 + 1128*x - 40. Find the first derivative of h(o) wrt o.\nAnswer: -2418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - -0.3. Let y = 0 - w. Is 2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 - 26554713*f**3 + f + 6665176 wrt f?\nAnswer: -72*f**2 - 159328278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 23 - (-3 - 2 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 241946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (154\/1463)\/(3*(-1)\/(-21)). Solve 0 + 2*g**3 - m*g**4 - 16\/19*g**2 - 8\/19*g = 0 for g.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223030031 (base 4) to base 10.\nAnswer: 439053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 13*m + 12 = 0, 28510988 = 5*n + 4*m. What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/120 + (-4)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-32))\/y*y**(-12)*y assuming y is positive.\nAnswer: y**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(14)\/sqrt(32)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - f - 6*f**2 - f**3 + 3*f**4 - 2*f + 5*f**2 in the form z*f**3 + h*f**4 + o + l*f + j*f**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -425*q + 4285. Calculate the remainder when 38 is divided by p(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -39. What is the greatest common divisor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = 12. 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 square root of 2343 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*6*3\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2 + l + 0*l**2 - 3*l + 3. Let q be x(-5). Suppose 2*o + o = c - 4, -q = -3*c - 5*o. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*o**3 + 777*i**2*o**3 - 758*o**3 - 4 wrt i.\nAnswer: 3*i**2*o**3 + 1554*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8074 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 61, 223, 543, 1075, 1873, 2991, 4483?\nAnswer: 6403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**3 - 3*d**2 + 13*d + 4. Let y be l(7). Suppose -y = -2*t - 5*p, 0 = 3*t - 3*p - 0*p - 3513. List the prime factors of t.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 824*o - 13185. What is z(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981199887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)\/sqrt(5))\/sqrt(5))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*m**2 + 60*m**2 + 60*m**2 - 2.\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*x - 180 - 178, 4*x - 3*y + 292 = 0. Let d be ((-40)\/x - (-206)\/56) + -4. Let z = 0.98 - -0.02. Sort -0.11, z, d in decreasing order.\nAnswer: z, d, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(0 - 1 - 3).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - -14) - (-20 + 21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - (-3465)\/42. Which is bigger: 80 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from iiijijijjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -11 + 32 + 0 + 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 165924812?\nAnswer: 165924810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 65, 10586, 4?\nAnswer: 10586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -f. Suppose f*b - 55 = w, -5*w - 138 = -5*b - 8. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5113\/19 + 269. Let j(t) = -t**2 + 2*t + 1. Let h be j(3). What is the third biggest value in h, c, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34989 - 34986. Solve 4*t = 3*k - 28, -15 = -m*k - 3*t - 36 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*l - 2*y, 3*l - 3*y + 75 = -0*l. Let m be l\/(-7) + 18\/(-63). Solve -5*o = -m*v + 12, -2*o - 4*v + 12 = -0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*a - 190*a = 0. Suppose 4*j - 41 = 31. Sort a, 4, j in decreasing order.\nAnswer: j, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p + 0 + 0*p**3 - 1\/12*p**4 - 8*p**2. Let c(n) = -2*n - 3*n + 2*n. Calculate c(q(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 676284.2nm?\nAnswer: 676.2842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + d. Let h(t) = 8*t**3 + 16*t**2 - 16*t. Give 3*h(p) + 48*r(p).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f + 1. Let x(y) = -5*y + 5. Let u(z) = 11*z - 11. Let q(c) = 2*u(c) + 5*x(c). Determine q(a) - 3*s(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4069, -4080, -4107, -4162, -4257, -4404, -4615?\nAnswer: -4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w - 4102 - 4852 + 635 = 0. What is the remainder when 4894 is divided by w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyjjywyl. What is prob of picking 1 l, 2 y, and 1 j?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 2*u**2 + 12*u + 2. Is i(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/1260 - a**5\/70 + 3*a**4\/28 - 5*a**3\/6 - 6*a**2. Let w(d) be the first derivative of f(d). Factor w(b).\nAnswer: 2*(b - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**6))\/(((j**(-2)*j)\/j*j)\/j)*j**(-2\/5)*j**(-3)\/j assuming j is positive.\nAnswer: j**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3449843, -3449849, -3449853, -3449855, -3449855, -3449853?\n\"Answer: x**2 - 9*x - 3449835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3034 minus -39.2?\nAnswer: 39.5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 4136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -573 and -0.0497.\nAnswer: 28.4781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h**2 - 6*h - 23. Let n(p) = 2*p + 15 - 7 + 3*p**2 - 10*p**2. What is -6*l(d) - 17*n(d)?\nAnswer: -d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 2*s + 2. Let z(u) = u**2 + 4*u + 5. Let q be z(-4). Let k = q + -2. What is d(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1806 divided by -602?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4461.\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 4*a**2 + 3*a - 2. Let u be c(2). Suppose -4 = -4*i + u. What is the second derivative of -x - x - i*x + 7*x**2 + 2*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/30 + i**5\/15 - 4*i**2 - 1. Factor n(j).\nAnswer: -4*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 11, j: 1, v: 3}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 301154\/33 - 9127. Find the common denominator of n and 16\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p + 4*n = 215, 4*p - 328 = 5*n. Suppose -k = -8*k + 140. What is the remainder when p is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257\/174 + -2\/87. Let m(h) = 2*h - 15. Suppose 2*t = -3*t + 50. Let n be m(t). Put -2, n, u in descending order.\nAnswer: n, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 22.\nAnswer: -53\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - 86510\/(-25)) + (-6)\/15?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 1706 + 1784. Which is the second biggest value? (a) 5 (b) r (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/30 and 71\/390474?\nAnswer: 1952370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*p + 437 = -23743. Calculate the highest common divisor of p and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.24564 and -27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339728, 339534, 339340, 339146, 338952?\nAnswer: 338758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*d - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2548)\/(-1008) + (-3)\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -125, -267, -463, -713?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - q - 4, 6*o - 5*o - 4*q = 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - j = 11*x + 8, -20 = 5*x + 5*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s. Let u(a) = -3161*a**2 - 2*a. What is r(u(m))?\nAnswer: 12644*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7))\/(g\/(g*g**18))*g*g**9*g\/(g**(-11)\/g) assuming g is positive.\nAnswer: g**(292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/(a*a**11*a))\/(a**(-7\/5)*a**(-2\/9)) assuming a is positive.\nAnswer: a**(-647\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.43 in 1\/180, 10\/7, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2544, -1, 4 in decreasing order.\nAnswer: 2544, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5\/4, 28, -0.6, -1.2 in increasing order.\nAnswer: -5\/4, -1.2, -0.6, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - -14 - (-1 + 7\/1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548761040 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:33 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2184562*s**3 + 2*s**2 - 23593334*s.\nAnswer: 13107372*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12891865000 rounded to the nearest 1000000?\nAnswer: -12892000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102579*0.013.\nAnswer: 1333.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1112 in -1, 2.8, -3, -5\/2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = 5*f + 302, 3*f + 194 = -s. Let n be 1986*-3125*(0 + f\/(-12)). What is n rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13975 - 9968. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 409.74, 3\/7, 2, 0.1, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22644874858 minus -143?\nAnswer: -22644874715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = -0*y. Suppose -3*u = -w - 48, y*w + 14 = u + 2*w. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/14*2\/8*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 - 6*k - 13. Is h(6) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, a: 1, v: 1, p: 1, u: 1, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-277*l + 133 - 133)*(-6*l - 2*l - l) as g*l**2 + c*l + s and give g.\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - (1 + 27 - (-297 - -308)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifeifixfiggifx. What is prob of sequence ggf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 * -355.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -12. Let g = 0 - s. Which is the closest to g? (a) 5 (b) -5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*u + 7. Solve -2 - 4 = -u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/689572 and -65\/8.\nAnswer: 1379144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806.59062 minutes to days.\nAnswer: 0.560132375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10678\/69 + 7481671\/276. Solve -n + 12*q**5 - 1646865\/4*q**2 - 852687\/4*q + 154443\/4*q**3 - 1182*q**4 = 0.\nAnswer: -1\/4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34.8 in -2, -5\/4, 9\/5, 2\/9, 0.3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-4))\/5*2\/10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511065422.\nAnswer: 2, 7, 36504673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153090950 and 850?\nAnswer: 153090950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by -98\nAnswer: 92\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 8 + -2 + (0 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22264 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18223569216 plus -0.2?\nAnswer: -18223569216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 3*l)*(2 + 2 - 3)*(-48*l - 151*l + 69*l).\nAnswer: 260*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 5209?\nAnswer: -5207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 5*v**7\/42 - 11*v**3\/6 + 7*v. Find the second derivative of t(y) wrt y.\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-48))\/(42\/(-168))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22*w + 421. Let m be b(-19). Let u(r) be the third derivative of 8*r**2 + 0 - 17\/24*r**4 - 4\/3*r**m + 0*r. What is the derivative of u(s) wrt s?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -140, -566, -1270, -2252, -3512?\n\"Answer: -139*w**2 - 9*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 11*w - 4*w. Suppose -w*z + 15*z = -1955. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)\/((-2)\/5). Let m = o - 3. Solve -m*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, f: 8, x: 9}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1054 - 1044. What is the greatest common factor of 200 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0081178612 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 i when three letters picked without replacement from {y: 5, i: 6, s: 1, g: 2, m: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 + 2*w + 48. Let p = -4 - -21. Calculate the remainder when a(0) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -0.2, -54, -9 in descending order.\nAnswer: 0.5, 2\/5, -0.2, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(128)\/(4*sqrt(8)))\/(sqrt(128) + -3*sqrt(128)).\nAnswer: -5*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 452. Let m(y) = y - 91. Calculate -22*m(d) - 4*x(d).\nAnswer: 2*d + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.548 - 0.648. Which is the biggest value? (a) 2 (b) 7 (c) j (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 97 - 57 = 0. Suppose -7*x + 0*x = -k. Find the first derivative of x - 9 - 5*u**2 - 10 - 11 wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - 11*l**4 - 10*l**4 + (3 - 3 + 2*l**2)*(-1 + 1 - 2*l**2).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((4 - 4 - 2*o)*(2*o - 2*o - o) - 4*o - o**2 + 4*o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6658434 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/174 and 65\/12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 3:16 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 611 - 431. Suppose 3*c - 835 = -4*w, -c + k = 3*w - 445. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x - 28*v + 33*v, 4*x - 36 = -4*v. Suppose -x*h = -17 + 7. Factor 4\/5*t**h + 0 + 0*t + 1\/5*t**3.\nAnswer: t**2*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(1\/(0 - 2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/(32\/(-64)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/15 - z**3\/2 - 3*z**2\/2 - 2. Let s(g) be the second derivative of r(g). Differentiate s(y) wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15877171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -50362016?\nAnswer: -50362032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 78083532.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88249 is divided by 42627?\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 5*x**2 + 2. Suppose -54*z - 57 = 159. What is b(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14b + 1e?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*i - 12, -3*i = 5*q - 4*i - 13. Suppose 0 = n - 5*c - 15 + 39, q*c = -4*n + 19. Find the third derivative of p**2 + 1 - n + p**4 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 6 - 11 + 0 - 5*k + k**2. What are the prime factors of w(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 691 = -196*r - 1873 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 182.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 509, 16, 4, 2, -38\/7 in decreasing order.\nAnswer: 509, 16, 4, 2, -5, -38\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 5 + 5 + 4*c**2 - c**3. What is the units digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, -6\/13, -1.647, -1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*g**3\/3 - 718*g**2\/3 + 348*g = 0. What is g?\nAnswer: -29, 0, 18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252*k**3 - 185*k**2 wrt k?\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from mhhhmhfhhmmfhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:12 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 97 = 11. Let q be 6\/(-27) + 735\/f. Suppose 61 = p - q. Calculate the highest common factor of p and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfs when three letters picked without replacement from {f: 1, k: 2, s: 2, z: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53123433 (base 7) to base 10\nAnswer: -4493520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -10?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 - 15*m**2 + 15*m**2 + 21*m**2 to the form r + h*m + x*m**2 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*q + 17, 3*q - 10 - 8 = -5*t. Suppose 2 = t*r - 19. What is the remainder when 12 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 4. Let r be 126 + (20\/70 - 66\/(-14)). Let m = r + -129. Calculate the least common multiple of m and t(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4523 + -0.0477. Let n = 0 - 4. Which is the closest to -0.1? (a) n (b) v (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713637080?\nAnswer: 2, 5, 13, 1372379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/23))\/a**(-20)*(a\/(a**(-5)\/a))\/(a\/(a\/a**(-1\/4))) assuming a is positive.\nAnswer: a**(2595\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (9 + -3 - 6)) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*x - 679 + 228 + 225 + 233.\nAnswer: 78*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 136 - 136 + 0*v + 0*v - 2*v + (-v + 5*v - 2*v)*(2 - 3 + 5) in the form q*v + b and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 44 - (-20)\/(-5). Suppose -p = 3*p + 5*l - a, 2*l = -3*p + 27. Are -2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 5. Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1206.730224ns to weeks.\nAnswer: 0.000000000001995255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((10\/5)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30da (base 15) to base 2\nAnswer: -10100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 - -222. What is the smallest common multiple of 25 and 5\/((-4)\/(-2) - i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*d - 2*c, -d + 23*c = 20*c + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.32 (c) 1 (d) 5 (e) -33469\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06 and 1\/60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -173 (c) -0.022 (d) 3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.44 - -26. Let v = 2.54 + r. Let h = -0.1 + v. Which is the nearest to 1? (a) -0.2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -14 (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 0 + 0 + (1 - 1 + 1)*(-2 + 2 - 2*j) - j + 0*j - j + 0 + 3*j + 0.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312054 and 231?\nAnswer: 24028158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 11*l**3 + l**2 - 5 + 9*l**2 - 2*l**2 - 5. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311 - 143. Does 42 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 180*d**2 + 228*d + 1040. What is k(-91)?\nAnswer: -3146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4190*t**2 - 3*t + 106470 wrt t?\nAnswer: 8380*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from voovovoooooovo?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-20))\/1 + 2\/5. Let -39*m**2 - 28*m**q + 12 - 3*m**3 + 58*m**2 = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(175)*4) + -2 + ((sqrt(90) + sqrt(90)*-1 - sqrt(90))\/sqrt(3))\/(-1*sqrt(6)*-3 + sqrt(6)).\nAnswer: -2 - sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:26 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.972 - 87.048. Let y = g + 100. Let f = y + -0.97937. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -15227533?\nAnswer: -15227532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (17 + (43 + -65 - (-8 - 3)) + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3 + 3. Suppose -2*d - 2*i + s + 30 = 0, 5*i - 45 = -3*d. Solve 9*c = 12*c - d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264306463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0896, -2\/7, -330, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**29*z**(-8\/9) assuming z is positive.\nAnswer: z**(253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13629 + -13575. Let s(v) = -v**3 - 7*v**2 - 7*v + 1. Calculate the remainder when m is divided by s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20) + -2 - (5 - 8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*z + 39*z + 36*z + 45*z - 175*z**3.\nAnswer: -175*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 449 + -471. Let q(m) = -29*m**2 - 11*m. Let l(r) = -7*r**2 - 3*r. Calculate j*l(y) + 6*q(y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23908262453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:18 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, 4 in increasing order.\nAnswer: -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 8*i**2 - 2*i - 4. Give c(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272973 is divided by 653?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1036, 3\/5, -56581, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -4*z**2 + 0*z - 1\/12*z**4 + 0 - 1\/3*z**3. Let o(h) = h**2 - 3*h - 3. Let g = 5 + -2. Determine g*r(y) - 2*o(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 13. Suppose -k + j = -3*h, -4*h - 14 = 5*k - 4. What is a in 2\/5 + 1\/5*a - 1\/5*a**k = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1800 + 1800. Let j(l) be the third derivative of 3*l**2 - l**3 - 1\/24*l**4 + 0 - 1\/120*l**6 + y*l + 1\/10*l**5. Calculate j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5275\/6 + -877. Calculate the common denominator of g and (-658)\/(-140) - (-1 - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8505*m + 8491*m - 336 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141965?\nAnswer: 5, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -25120?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:41 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 950811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/14, 0.1, 0.5, 2?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/30 + j**4\/6 - 26*j**2. Let h = -10 + 7. List the prime factors of s(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122243 (base 5) to base 11\nAnswer: -3591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 79?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30a (base 16) in base 12?\nAnswer: 54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18*a**2. Let m(b) be the third derivative of 3*b**2 + 0*b**3 + 0 - 1\/12*b**4 + 0*b. Calculate m(d(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from lbkinibielnilnenb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 - 45 = 5*k, 20 = q - 4*k. Let s = -0.25 - -0.15. Let p = -1 + -2. Which is the nearest to s? (a) q (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1152848 and -71\/864636?\nAnswer: 3458544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1589 = 3*l - 263, 0 = 50*l - 4*m - 30992. Suppose 2*f = 4*a + 36, 130 - 27 = 5*f + 3*a. What is the greatest common factor of l and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, t: 2, e: 2, l: 6, r: 1}. What is prob of sequence rtll?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/9 + 499*t**2\/9 - 6839*t\/9 + 23765\/9.\nAnswer: -(t - 485)*(t - 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 38*h = 7320. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8152 and -55\/2?\nAnswer: 8152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23250710?\nAnswer: 2, 5, 7, 193, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296 + 350. Suppose 0 = -35*i - v + 159. Solve 3*g = 2*p - 3*p - 9, 3*g = i*p - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2793*i**2*k**2*x**3 - 7*i**2*k**2*x**2 - 120*i**2*x**2 + 7*i*k*x**2 - 2*k**2*x**4 wrt x?\nAnswer: -16758*i**2*k**2 - 48*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/20 - 7*x**3\/6 + 15*x**2\/2 + 13. Let j(o) be the second derivative of d(o). Differentiate j(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 551 - 16*n - 4*n**2 - 551 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (840\/(-49))\/(14\/147). Let u = z - -185. Suppose -2*c + 8 + 2 = 0. Calculate the lowest common multiple of c and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.4 - 19.5. Are g and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 14 = -2. Let k(a) = a**3 - 18*a - 1 + 19*a + 5 + n. Determine k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -95 - -7 - (-158 - -179).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.43 - 0.03. Let b = -0.1 - -2.1. Put b, v, -1 in ascending order.\nAnswer: -1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**2\/2 + g - 5. Let i be k(-1). Solve -5*m - 4*n - 10 = i, -2*m - 2*n - 4 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0, -10, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/23 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4309617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 divided by -50?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 279, 275, 271?\n\"Answer: -4*v + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/20 + x**4\/12 - x**2\/2 + 6*x. Let p(s) be the first derivative of 3*s - 3. Let z(d) = -p(d) - 2*t(d). Calculate z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 8*m**3 - m + 2*m + (-2 + 2 + m**3)*(4 - 4 + 3).\nAnswer: 13*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n. Suppose 2*y + 3*p = 5*p + 28, 3*y + 3*p - 36 = n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*-2*4))**2 - (sqrt(119)\/(sqrt(84)\/(-1*sqrt(12))))**2.\nAnswer: -1071\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5807681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3062 - 3061. Which is the nearest to d? (a) -0.3 (b) -1\/10 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 505*h - 25706. What is j(49)?\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p - 314. Let b be x(-26). Suppose -3*c + 4*z - 29 = 0, c - 3*z - 9 = -27. Sort -15, b, c in increasing order.\nAnswer: -15, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118025\/3 greater than or equal to 706008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o - 1501511 = -1491341 for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 1. Suppose 0 = -3*g - 11 - 4. Give z(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(-4 + 6 + 3 + (2 - 4 + 1)*(0 - 1 + 3) - 6 + 7 + 7) + 2*p - 8*p + 2*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -24?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/24 - 3*l**3\/2 + 6*l**2. What is the units digit of o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*v - 344, 2*v - 4*v - p - 344 = 0. Let o = -114 - v. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -710.2 + 710. What is the biggest value in 2, b, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3065927. Let f be a(0). Let p = -2065927 + f. Suppose p = 14*z - 15*z. Round z to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**6\/360 + r**5\/120 - r**4\/4 - r**3\/3 + 3. Let n(z) be the third derivative of f(z). Does 12 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*a*q**3*w**3 - 50*a*q**2*w**2 - 6*a*q*w**3 - 6*a - 2*q**3 wrt w.\nAnswer: 678*a*q**3 - 36*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 10 - 10 - 5*g - g + 5*g + (-4 + 2*g + 4)*(1 + 1 + 0) in the form a*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1541, 2142, 4, -3 in descending order.\nAnswer: 2142, 1541, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -38 - 2*3\/(-12). Let q = 221\/6 + a. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (7 + 1 + -2 - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + c + 302, -14*d + 17*d - 454 = 2*c. What is the remainder when d is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-39))**(-33)\/(y**(2\/3)\/(y\/(y\/(y\/((y**(-1\/9)\/y)\/y*y)))*y)))**48 assuming y is positive.\nAnswer: y**(185680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 - 387*s + 452. Determine o(54).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let a(h) be the first derivative of 5*h**3\/3 - 15. Determine a(g(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3092 + -1992. Suppose -7*j - 3*j = -r. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:21 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (-5 - 4) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112529091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12891 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 5, w: 2, y: 3, q: 3}. Give prob of picking 2 y and 1 q.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.5 - -173.5. Let l = -142.33 + k. What is l rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-14) - 6)*(-16 - 407\/(-44))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.9 + 21.5. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 18. Let y be u(-8). Suppose 2*j + 12 = -y*k, -4*j - 1 = -5*k - 22. Let h = 15 + k. Solve -4*g = -z + 3*z - h, -g - 5*z = -16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16908 + -16904. What is the smallest value in -2, b, -1\/3, -36, -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 7*n - 6. Let r be v(6). Let f be (-714)\/35 - (194 - 215). Factor -12\/5*w**4 - 3*w**3 + r*w + 0 - f*w**2.\nAnswer: -3*w**2*(w + 1)*(4*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:07 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-12)\/(-432)*20)\/((-115)\/46))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 25. Let o(x) = -2*x**2 - 23*x - 29. Let y be o(-17). Let m = 216 + y. Solve m*h - h - c*j = -7, 8 = 3*h + 2*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h**3 - 12*h**2 + 12. Let b(a) be the third derivative of 0*a**4 - 4*a**2 + 0 + 11\/120*a**6 - 1\/12*a**5 + 0*a + 5\/6*a**3. Give 12*b(i) - 5*l(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 15. Let n be c(0). Let k = 18 + n. Solve 0 + 0*f + 4\/5*f**2 + 2\/5*f**k = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 - 21816*v + 6. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = -2*a, 0*p + 14 = -2*p - 4*a. Suppose k + p*k - 24 = 4*c, 5*k = -2*c + 51. Solve 3*w - 3 = -k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 8. Let f(o) be the second derivative of o**4\/12 + 168*o. Calculate d(f(s)).\nAnswer: 4*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413718757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*u - 173. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 22*o**2 + 7*o + 3. Let a be g(5). Let y = a - 111. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 4)*(-1 - 2*h + 1)*(-1 - 1 + 10)*(-h**2 + h**2 - 2*h**2) to the form k + d*h + r*h**2 + v*h**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -83, 2\/9, 1930, -4?\nAnswer: 1930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r + 257. Let s be o(26). Suppose 2*g - 2*k = 10, 25*g - s*g - 10 = 4*k. Let l(m) = 7*m + 3. Let t(a) = -3*a - 1. Determine g*t(n) + 2*l(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -18.8 in decreasing order.\nAnswer: -0.1, -4, -18.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -602 + 602. Suppose -11*n + 3*n + 66952 = s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 = -4*j, -j - 61*q + 21*q + 79 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.9*-0.0434.\nAnswer: 3.25066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 13*q + 2*q)*(69 - 69 + 51*q) + 7*q - 4*q**2 - 7*q.\nAnswer: 761*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + 0 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 3*g**2 - 3*g**2 + (3 - 1 - 3)*(0*g**3 - g**3 + 0*g**3) + 4*g**3 - 5*g**3 - 20*g**3.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30021 is divided by 7500?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:57 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.99 - -7. Let q = 0.21 - z. Round q to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22421033039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 128. Which is the closest to -1\/3? (a) 0 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3 - 4 + 3 - 5 - 22*z. What are the prime factors of b(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 110. Find the second derivative of 10*m**2 - 3*m**4 - 154*m + x*m + 3*m**2 wrt m.\nAnswer: -36*m**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 228613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {s: 5, e: 3, x: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 4*q**3 - 4*q**2 - q**3 - 1 + 1 + (5*q - 14 + 14)*(8*q**2 - 53*q**2 - 6*q**2).\nAnswer: -252*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2085 = 3*z, w + 70 = 4*z + 470. What are the prime factors of w?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25677 and 13.004.\nAnswer: 333903.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - y**4 + y**4)*(-2*y - 9 + 4 - 4).\nAnswer: -2*y**5 - 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g = 35*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(96\/20) + 31\/62. Let x = -1.27 - -4.27. Which is the nearest to -0.3? (a) 1\/2 (b) x (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 20. Let w be 4\/10*(-60)\/j. Let u = w - 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*l - 28, 6*o - 3*l + 48 = 3*o. Let t = 41 + o. Calculate the remainder when (7\/(168\/234))\/(13\/52) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let z(g) = -3*g - 10. Let k(v) = 6*b(v) + z(v). Let h be k(7). Let o(i) = 27*i**2 - h*i**2 - 19*i**2. Let f(x) = 2*x**2. Calculate f(o(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84493, -168987, -253481, -337975, -422469, -506963?\n\"Answer: -84494*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 270.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167.9 - 168.31. What is the nearest to m in 4, 6, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136.5 + -254. Let d = u + 118. What is the nearest to -1 in 3\/5, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 713.50176 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189 - -224 - (3 - -37)) + (-2 - -62 - 2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -3*z + 67. Let t = 3.77 - 3.14. Do z and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*w**6 - 3*w**4 + 20*w**2 - 2*w + 3 wrt w.\nAnswer: 14400*w**3 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.17. Let b = 50.646 - -0.554. Let s = -51 + b. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15399 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(2299) - (sqrt(2299)*-2 - sqrt(2299))) + sqrt(2299) + sqrt(2299) + ((0 + sqrt(2299) + sqrt(2299))**2 - sqrt(2299)) + 2).\nAnswer: 165*sqrt(19) + 27588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:43 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/5480 and 13\/297816.\nAnswer: 204003960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 b when three letters picked without replacement from {b: 1, i: 3, k: 5, g: 7}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443604 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 4:44 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2)*t)\/(t\/t**(-2\/11)))\/(t**(-5\/2)*t**(7\/3)) assuming t is positive.\nAnswer: t**(197\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*u = -1488, -4*u + 0*u = -g + 386. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 55*s**2 - 112*s + 120. Let q be d(-57). Solve -3*f + 2 = -5*y - q, -3*y + 3*f = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 3251 + 5*s**2 - 1548 + 5*s + 2*s + 3545.\nAnswer: 5*s**2 + 2*s + 5248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5\/56, 1, 0.3, 4\/33, -4, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - 2*a + 2*a)*(-3 + 4 + 1) - a + 1 - 1 + 5*a - a - 3*a)*(2 - 2 + a)*(1 + 1 - 3).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-74)*(-42)\/(-147)*(1 - 3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 5*k**2 - 13*k - 4. Let i(b) = -b**3 + 3*b**2 - 7*b - 3. What is -5*i(n) + 3*t(n)?\nAnswer: -n**3 - 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 5499 = 0. Let q = -155803\/85 + n. Let s = q - -6272\/765. Find the common denominator of 15 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 9:03 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17083*y - 1520297. Calculate b(89).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 6*v**2 + 4*v - 2. Let g be b(-5). Suppose -p - 2 = -g*x, -5*p + 12 = x - 5*x. Suppose -267 = -5*f + x*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2156*y + 4 - 2352*y + 4178*y to the form t*y + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {f: 2, o: 2, p: 6, h: 8}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21240 divided by 4.\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Suppose 4*h - 4*b + 2*b - 52 = 0, 3*h + 3*b = 48. Suppose h*c = 18*c - 44. Solve u*q - c + 27 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22642 (base 9) to base 3.\nAnswer: -202201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19 and 12815494335.\nAnswer: 12815494335.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52, 0.4, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (440\/(-550) - (-8)\/5)\/((-27)\/(-45))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 17\/(6 + 28) + (-14754)\/(-4). Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**5\/2 - 5*f**4\/2 + 2*f**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 28. Which is greater: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let d be 3\/(-4) - (-36)\/(-16). Let x be p(d). Suppose -2*h + x = 2*h. Solve v + 2 = 0, -3*a + 5*a + h*v = -16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -65. Solve r*v - v + 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5 + 457*b**3 + 5*b**2 + 719*b - 2?\nAnswer: -120*b**2 + 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 3531.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - 101 - (1 + (2 - 3 - -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-55 - ((13 - (2 + -2)) + -56 + 46))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.78 - -173.22. Which is the nearest to x? (a) 3 (b) -4 (c) -0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3692671ml to litres.\nAnswer: 0.0003692671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6f7 - 16?\nAnswer: b6e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 (base 13) in base 2?\nAnswer: 10111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**3 - 17*f**2 - 120*f + 347. Calculate c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81.49 and -0.010383.\nAnswer: -0.84611067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 30?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (44 + (-24 - -7)) - -37.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 150364?\nAnswer: -150362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**6 - 5\/56*b**8 - 11*b + 0*b**3 + 0*b**7 + 0*b**5 + 0 + 0*b**2 + 5\/12*b**4. What is the third derivative of d(w) wrt w?\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31610.1 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.4. Let d(x) = x**3 + 8*x**2 + 3*x - 31. Let q be d(-7). Which is the nearest to h? (a) 0.2 (b) 7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 12. Let m be s(12). Suppose m = -4*c - 5*y + 298, 3*c - 15 - 220 = 2*y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -q. Let o = -514 - -547. What is the remainder when o is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 692420983?\nAnswer: 692420981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 6*k - 13*k - 5*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 325054.\nAnswer: 975162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y + 0*y)*(2 - 5 - 2) - 7 + 2*y + 1 + 1.\nAnswer: 7*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 667 - 440. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) + 3*sqrt(68)) + sqrt(68) + sqrt(68) + sqrt(68) + 1*sqrt(68)*-4)\/(3*1*sqrt(196) - (sqrt(196) + (-1*sqrt(196) + sqrt(196))*-6)).\nAnswer: 19*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(2*sqrt(432)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 3\/(-1)) + -1. Solve -2*c = -l*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**2*t + 5038*s**2 + 5918943*s*t**3 - 1017 wrt t?\nAnswer: 3*s**2 + 17756829*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3734609990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rppppppvrp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3547 is divided by 1731?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let r(j) be the first derivative of 0*j**2 - 2\/3*j**3 + 0*j - 12. Calculate -6*g(z) + 7*r(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -8 - (6 + (7 + -14 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42685 is divided by 2316?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 87, 195, 347?\n\"Answer: 22*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Let u(l) = l**3 - 6*l**2 - 2*l + 2. Let y(z) = 2*z**3 - 14*z**2 - 4*z + 4. Let i(f) = -5*u(f) + 2*y(f). Determine i(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87399 + -56822. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5112490 or -5112487?\nAnswer: -5112487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -493 - -873. Suppose -58*w + 60*w - n = 0. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 128*g**2 - 391*g + 139. Is v(-64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1412034 (base 5) to base 11\nAnswer: 1a891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 2\/3*w**3 + 0 + 2\/105*w**7 + 0*w**5 + 0*w + 0*w**4 - 8*w**2 + 0*w**6. What is the first derivative of i(h) wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478427119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 8 = -b - 24*k, -4*b + 2*k = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.88 (c) 1\/7 (d) -1 (e) -10 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6637806 is divided by 1794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**3 - 19*g**3 + 0*g**2 - 18*g**3 + 2 + 23*g**3 + g**2 + 132*g to the form q*g**2 + r + m*g + y*g**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 2*u**3 - 1557 + 1557.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -662 take away 212.329?\nAnswer: -874.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780 a factor of 60779140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 22 + 2. Let y(i) = -10 + 1 + 2*i + 12 + 13. Let p be y(g). Let j(v) = -v**2 + 6*v + 8. Give j(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 90 - 21 - 23 - 28 - 20. Let k(w) = 3*w - 1. Let u(c) = 2*c. Let f(l) = 3*k(l) - 4*u(l). Calculate 2*f(b) - 4*j(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 + 1)\/(2\/(-8)). Let p = -31 + b. Solve -5*c + 0*c = -p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 16*m**2 - 19*m + 1. Give f(-17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 1, -3, 1236\/7, -13, 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w*w)\/w)**(1\/56)*(w\/(w**(3\/2)\/w))\/w*w**(2\/55) assuming w is positive.\nAnswer: w**(-659\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 7*s - 5. Let b be u(6). Let m = -4 - b. Let o(d) = d**3 + 5*d**2 - d - 7. What is o(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7155.6458 rounded to the nearest 10?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + 31.1. Are t and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 92, 0, -980, 4 in decreasing order.\nAnswer: 92, 5, 4, 0, -980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7253*f**2 - 115*f - 48 wrt f.\nAnswer: -14506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by -3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-9) - -14)\/((-2)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*p + 88*p**3 + 198*p + 217*p + 199*p.\nAnswer: 88*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -33*q**2. Let t(p) = 218*p**2. Determine t(s(w)).\nAnswer: 237402*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54023844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 28*y**4 + 28*y**3 + 92*y**2 - 176*y + 80 = 0. What is y?\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37367b (base 12) in base 10?\nAnswer: 897791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011110100 + -111010010?\nAnswer: -10111011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -14200?\nAnswer: -14003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 707, -4958, -10623, -16288?\n\"Answer: -5665*r + 6372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 106. Let x(a) = 6*a + 182. Let j(n) = -5*l(n) - 3*x(n). Calculate j(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + 4 - (-4)\/(-1). Let c be 1 - -97 - (11 - o). What is c rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 1. Let d be m(-4). Let g(b) = 16*b - 1 - d*b + 1. Let v(u) = 2*u**2 - 86*u + 46*u + 40*u. Determine g(v(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -4\/23, 0.5, 5, -3 in ascending order.\nAnswer: -3, -4\/23, 0.5, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1177534 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 442 and 102.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 251 = 69*g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 259*c - 1719. Let f be t(-7). Sort -1, 5167, f in descending order.\nAnswer: 5167, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 4. Let f(c) = -c - 6*c + c + 2*c - 7 + 12. Suppose -5*b - q + 2*q + 37 = 0, -6 = -2*q. Let a = b - 14. Give a*v(s) - 5*f(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164050 times 8?\nAnswer: 33312400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185339 is divided by 214?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 420*b**4*i**2 - 2*b**2*i + 79*i**2 wrt b.\nAnswer: 10080*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, 4\/9, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 41. What is the units digit of 184\/7 + (-4)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1*(-16)\/(-4) + 6). Let r(q) be the first derivative of 0*q**4 + 4 - 1\/5*q**5 + 2*q + p*q**3 + 0*q**2. What is the first derivative of r(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {y: 1, i: 3, w: 2, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24388571+-36\nAnswer: 24388535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + t - 1. Let r be k(4). Let z = -9 - r. Differentiate -s + 2*s**z + s - 1 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**3 + 45*d**3 - 54*d**3.\nAnswer: -45*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(270)\/sqrt(10) + (sqrt(96)\/sqrt(4))\/sqrt(8).\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 265505 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*w + 36*w - 92 = -599 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821*h - 76*h**2 + 279*h - 1927*h + 48*h**2 + 827*h.\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680589629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phf when three letters picked without replacement from enhnzefzpfzn?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517 divided by -2.\nAnswer: 517\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9320 divided by 2330\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/((-2)\/(-10)). Let u(a) be the second derivative of -a**5\/20 + a**4\/3 + a**3 - 3*a**2 - a. Let c be u(5). Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*r*v**3 - 4*r*v**2 + 75*r - 7*v**3 wrt v?\nAnswer: 246*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6631\/3708 - 250\/103. Calculate the common denominator of -19\/720 and g.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-168)*-14*((-4)\/3)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 44. Let u = -4 + 9. What is the second smallest value in u, -1\/11, y?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -26. Let k(r) = -r - 1. Let n(i) = 7*i + 10. What is q*n(p) - 6*k(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5676 + 21391. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11840170 and -1.2.\nAnswer: -11840171.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v - 11. Let o be x(9). Suppose 5*n + o = 1045. Find the first derivative of -195*q**3 + 2 - 7*q**4 + n*q**3 wrt q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -2.05581\nAnswer: 0.0822324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 6. Determine y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 2, d: 1, u: 4, b: 1, s: 3}. What is prob of sequence dh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 16990025 + 16990025.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/7336 and 71\/3668?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 2. Let s(m) = 10*m + 7. Let c = 6 - 4. Let u(h) = c*s(h) - 7*q(h). Let r(n) be the first derivative of 2*n**3\/3 + 10. Determine r(u(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12572, -25177, -37792, -50423, -63076, -75757, -88472, -101227?\nAnswer: -114028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11396886, 22793779, 34190672?\n\"Answer: 11396893*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227538 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r + 17*r = -946 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = -3, -4*l - m - 38 = 0. Suppose 0 = 4*a + 2*a - 15138. Is a\/5 - l\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -3\/52229?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 0. Differentiate 4 - 16*h**4 + 15*h**4 + z with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986304 is divided by 7095.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6265 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67963 is divided by 16989.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 21 - 1 = 0. Let k = 46 - 46. Put k, 2, v in descending order.\nAnswer: 2, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175762, -2, 4, -34 in ascending order.\nAnswer: -175762, -34, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-125)\/10)\/(1\/(-2)) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/4, -5\/47, 0, 5, 0.04?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**3 + 5*l - 7. Let i(s) = 5*s**3 - 3*s + 4. Determine -7*i(m) - 4*v(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 3\/7 (c) -0.8 (d) 944 (e) -1\/2 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 465800831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2823 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*z + 29, -4*t + 12 = -3*z - z. Suppose -t*y + 39079 = -3*g, -13*g = -5*y - 16*g + 39061. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 2*i**2 - 617*i - 16. Let l(p) = 2*p**3 - p**2 + 308*p + 9. What is -4*g(f) - 7*l(f)?\nAnswer: -2*f**3 - f**2 + 312*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409017.\nAnswer: 13, 185309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:57 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + w - 14 = 19*c, 2*c + 8 = 10*w for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c + (4*c - 5*c + 3*c)*(-1 + 0 + 3) + 2*c - 1 + 1 + 0*c - c + 5*c)*(2*c + 7*c - 10*c + 6).\nAnswer: -11*c**2 + 66*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 z, and 2 k when four letters picked without replacement from {z: 1, k: 3, f: 3, e: 2, y: 3, i: 4}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*t = 4*t - 699, -3*l - 3*t + 2085 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0258492672 rounded to 5 decimal places?\nAnswer: 0.02585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and 103\/122.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, c: 2, a: 2, e: 3, i: 4}. Give prob of sequence jec.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 474*n\/5 - 95.\nAnswer: (n - 475)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/36*8*(-45)\/(-20) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let b(w) = 22*w**2 + 328*w. What is b(y) - 10*l(y)?\nAnswer: 2*y**2 + 328*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - (-144)\/(-14). Let o(i) be the first derivative of 288997*i**2\/2 - 30*i - 12. Let g be o(q). Round g to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 5 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1414280 and 0.1685?\nAnswer: 1414280.1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -12. Suppose -5*p + 0*p + 90 = 0. What is the remainder when p is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1307, 1305, 1295, 1277, 1251?\n\"Answer: -4*w**2 + 10*w + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 - -0.2. Let t = -1 + -4. Let v = t - -7. What is the closest to 3 in -3\/8, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 222*b - 902. Let d be h(-4). Let 2\/11*f + 0 + 2\/11*f**d = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.888 - 51.888. Let m = -0.20244 - -36.20494. Let x = m + q. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286615 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 732 - -67?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 9. Calculate j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -301 + -19c68?\nAnswer: -1a169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*t - 279*t + 232*t + 8220 = 0 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 2. Let k = -1.2 - h. Let w be (2\/(-28))\/((-2)\/(-8)). Sort k, 1, w.\nAnswer: k, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5727234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 18*p**2 + 30*p + 122. Calculate s(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 4. Calculate k(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 70. Let p = 2574 - 2546. What is the lowest common multiple of p and n?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 4*g + 2*g. Let m(o) = -2*o**2 - 20. Let t(z) = -z**2 - 15. Let b(q) = 3*m(q) - 4*t(q). What is j(b(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-666)\/24 + 7 + (-2)\/8. Let r = 26 + j. Suppose 3*f - 2*p = 4423, 4753 = -r*f - 5*p + 12158. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 209, -128, -110 in decreasing order.\nAnswer: 209, 5, 3, -1, -110, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 4*m**3 + m**3)*(8*m - 2*m + m)*(-m - 12*m + 2*m).\nAnswer: 77*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 297*n - 11285. Determine d(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 2. Let p = 2 + u. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-25))\/((-34)\/(-50)). Let p = s - 197\/153. Sort p, -4, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75 + (-3 - -3) + 1. Suppose f - i = -2*a, 4*a - 217 = -3*f - 65. What is the units digit of a\/2 + (7 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48068143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17 + 10 + 4712*i**2 + 4592*i**2 - 9105*i**2.\nAnswer: 199*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 8. Let f = 4 - 8. Let p be l(f). Suppose -p*u = 100 - 24. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 9*q = 2*l - 4, 0 = -q - 4*l + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1414676 and 636.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-32)\/(-48)*15\/20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -229*a*t**2 - a - 233*t**2 wrt a.\nAnswer: -229*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let g(a) = -a**3 - 13*a**2 - 3*a. Let y(n) = -g(n) + 3*k(n). Let v be y(-13). Put v, -10, -5 in decreasing order.\nAnswer: v, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -2.9. Let y = -0.1 + s. Let q = 0 + 0.1. What is the nearest to -2 in -3, q, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3409+15\nAnswer: 15.3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000675 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13422 divided by -4474\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259 - 5*b + 295 + 6*b)*(-25*b**2 - 11*b**2 + 22*b**2).\nAnswer: -14*b**3 - 504*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, -17.9 in increasing order.\nAnswer: -29, -17.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933578113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwrrqrrrqrlerwrwwq. What is prob of sequence mwe?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/6 - 5*f\/2 + 9 = 0.\nAnswer: 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 22*v = 7*i + 20, 7*v = 4*v - 5*i + 164 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l + 6. Let s be 6\/4 - (-130)\/4. Let x = s + -24. What is the smallest common multiple of l and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 7:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 131, -98, 5, -37.\nAnswer: -98, -37, 3, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3 - 7, -5*j - 3*b = 26. What is the nearest to 2 in j, -0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10116.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 49*s**2 + s + 5*s.\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 - -359\/2. Let u = 0.001 + 0.299. What is the closest to 0.1 in s, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 138, 216, 292, 366?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -16. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142317 divided by -63?\nAnswer: -2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 44 - 17. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 0*p - 2*p)*(2020 - 1071 - 1164) - 2*p + 3*p - 4*p to y + r*p and give r.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -51*u**3 - 1987*u**2 + 114*u + 1390. What is k(-39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-9)\/9)\/(2\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17144 and 38574?\nAnswer: 154296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/3)\/(n*n*n*(n*(n\/n**(2\/33))\/n)\/n))\/(n**(5\/2)*n**12))**(-12) assuming n is positive.\nAnswer: n**(2478\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 46 = 4*m - 5*m, 0 = m. Suppose -59*i + d*i - 837200000 = 0. Round i to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 747258 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*s = 3 - 1, -4*g + 7 = 3*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1011011?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(35*f - 32*f - 59*f) + (0*f - f - f)*(-1 + 0 - 1) in the form j*f + y and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40339 and 1270867.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - 0.1. Suppose -2*v + 2 = -4*r, 4*r + 5*v = r - 21. Let y be (80\/45)\/8 + 0. Which is the nearest to r? (a) f (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15965078 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2053, 1, -112 in descending order.\nAnswer: 1, -6, -112, -2053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-2984)\/48 + -3. Let d = 1116 - m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345060968?\nAnswer: 2, 7, 17, 362459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -8*v + 44. Let z = -13 - 22. Let m = z - v. Solve 10 = 4*p + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6\/120 - s**3\/6 + 4*s**2 + s + 60. Let m(w) be the second derivative of a(w). Let y(o) = 3. Give 3*m(n) + y(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brl when three letters picked without replacement from brbosjlssrslsj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*j + 8 + 18 = 0, -2*j + 58 = 9*w. Solve 42*v = 34*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(5*w - w - w) - 148*w - 1 + 10 - 9 in the form d + k*w and give k.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/7 and (15\/(-20))\/((-1599)\/(-182)).\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6 and -89.18.\nAnswer: -87.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 129743589 divided by -43247863\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a factor of 10660372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5044711, 34, 4, 2 in increasing order.\nAnswer: -5044711, 2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*a - 3 = 2, -4*w - 2*a = -10. Suppose 0 = -3*o + o + w. Put o, -4, 4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1710 - -3351\/2. Let h = -2 - -9. What is the common denominator of s and -2 + (78\/h)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -50 (b) -28.62 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2981820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2263*p + 4507*p - 972 = 2280*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0)*2*-4*2)**2.\nAnswer: 216832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - n + 10. Let t be v(0). Suppose -q - t = -3*q. Suppose -3*a = q*p - 203 - 117, -192 = -3*p - a. What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -44. What is the tens digit of (-98)\/q - (-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2190733 - 0.04892539. Let c = -134 - -133.732. Let m = n - c. What is m rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 473093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (2 - (-38)\/(-14)) + 2280\/(-140)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 674865870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - p**2 + p**2)*(10 + 12*p - 20*p + 22*p).\nAnswer: -28*p**5 - 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -c, -5*c = -i - 4*i + 5. Solve 3*x - c = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*a + 3 = -7*n, n + 12 = 3*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/19)\/x**3)\/(x**(-1\/6)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(-2405\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k - 25530000. What is k rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l**2 + 7*l**3 + 9*l**2 + 16*l**2.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 3083*p - 8710*p + 2.\nAnswer: -11793*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2973\/38062?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164*(351\/26)\/(-27)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 837*g**6\/40 + g**5\/3 + 16*g**3\/3 - 322*g**2 - 4*g. Find the third derivative of s(d) wrt d.\nAnswer: 15066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.4 - -7. Let k = 12 + -6. What is the nearest to 2\/3 in k, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*r + 3*i, 2*r - 4*r + 3*i + 9 = 0. Let j = r + 2. Sort -2, -4, j in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(3\/4)*p**(-2\/7)*(p\/p**0)**(-14) assuming p is positive.\nAnswer: p**(-351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -3)*5\/2. Suppose 187 = -17*w + 28*w. Solve 2*q - p*z = w, 3*q - 4*z - 15 = -0*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 176 = 2*n. Let t = n + 52. What is the remainder when 374\/t - (-1)\/4 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**6\/900 - u**5\/225 - u**4\/180 + 3*u**2 + 6. Let n(g) be the second derivative of k(g). Factor n(l).\nAnswer: -2*l*(l + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6018759013\/877086 - -3\/97454. Let g = k + -6848. Let l = g - 14. Which is the third biggest value? (a) 4 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = 392 + 417 - 836 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19055 (base 16) to base 12\nAnswer: -4b385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -11\/2309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2, -c = 66*n - 63*n - 17. Suppose -4*s + 4*z = -168, z + 68 = 2*s + 3*z. Calculate the remainder when s is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*y + 10 = 0, -3*z - 50 = 2*z - 2*y. Let u(r) = -r**3 - 11*r**2 - 13*r - 17. Let x be u(z). Solve -3 = 14*v - x*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 take away 36488931?\nAnswer: -36486365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let z(p) = p**2 - 9*p - 7. Let d(w) = 4*v(w) + z(w). Let j = 10 + -5. Suppose 5*r = -0*r + j, 0 = -2*t + r + 9. What is d(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 9*g + 8. Let z be a(10). Let s be -3*(0 + 4\/6). List the prime factors of s\/(-4) + (-27)\/z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - -1?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116382184901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15742683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -3. Let y = 116.17 - 2.17. Let i = 113.9 - y. Sort i, 0.2, -3\/7, p in decreasing order.\nAnswer: 0.2, i, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(14\/56). Suppose -q*h + 24 = -20. What is the highest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j - 12 = 0. Let h(y) = y**3 + 3*y**2 - 2*y - 1. Let f be h(j). Suppose 0 = -f*i + 15 + 50. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399*b**5 - 2*b**2*k**3 + 3*b*k**3 - 131*b - 3*k wrt b?\nAnswer: 7980*b**3 - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*p**2 - 2980*p**5 - 15*p**2 + 2975*p**5 wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60938 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14349 times -6980?\nAnswer: 100156020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/917105671 or 1?\nAnswer: 2\/917105671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3)\/j)**(-1\/3)\/(((j\/(j\/j**(-4\/3)*j))\/j)\/j*j*j*j**(-2)\/j*j*j*j*j*j*j*j) assuming j is positive.\nAnswer: j**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.6415 years to centuries.\nAnswer: 2.166415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38021.448048309 less than -0.1?\nAnswer: -38021.548048309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Suppose 197 = 5*l - 2*p - 2*p, 0 = -4*l - 3*p + 170. Let i(g) = 2 - 16 + l*g**2 + 14. Give i(z(r)).\nAnswer: 369*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 13*f - 28. Let t be g(-15). List the prime factors of 2 + t\/(2\/105).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**40)**31\/(a**27)**(12\/13))**(5\/2) assuming a is positive.\nAnswer: a**(39490\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from {k: 1, w: 1, q: 4, s: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcocxckxarcxc. What is prob of sequence axk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44843 > 44842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*n + 5 = 0, 3*d + n - 28 = -8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 + 5. Let w be o(6). Let j = 15 - w. Calculate the remainder when 7 is divided by (-4)\/j + 66\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62031, -246881, -554965, -986283, -1540835?\nAnswer: -2218621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:17 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 3) + -3 + 3 - -2. Suppose -40 = t - 6*t. Suppose f + h = t - 2, 0 = 4*h - 20. Is f > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892850 minus -2513507?\nAnswer: 5406357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 14*z**2 + 13*z + 6. Let y be l(13). Suppose h = -p + 18, 4*h + 5*p - y = 71. Find the third derivative of h*b**5 - b**2 + 34*b - 34*b wrt b.\nAnswer: 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 472, 956, 1448, 1954, 2480, 3032, 3616?\n\"Answer: c**3 - 2*c**2 + 483*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 83?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68439 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 4*w + 40. Suppose -3*d + 43 = -w*d. Let s = 72 + d. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*u**2 - 295*u + 86663.\nAnswer: 198*u - 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 28087*c. Let d(u) = -42*u**2. What is t(d(m))?\nAnswer: -1179654*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 10 = 4*i. Let y = i + -6. Let n(a) = 2*a + 1 + a - y*a. Calculate n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 227, 701, 1627, 3155, 5435, 8617, 12851?\nAnswer: 18287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25*r + 1. Let s(i) = -1753 + 1753 + 6*i - 4*i - 3*i. Determine j(s(m)).\nAnswer: 25*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 191.39. Let l = r - 2.29. Which is bigger: l or 15.9?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 8 = 25*b. Let r be (-40)\/3*(-126)\/105 + b. Calculate the greatest common divisor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f**2 - 6. Let i(a) = -a**2 + 1. Determine 6*i(n) + r(n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182479\/12 or 15206?\nAnswer: 182479\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -5\/13 (c) 15 (d) 135 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - h + 1, -2*j - 2 + 37 = 13*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2749663*14\nAnswer: -38495282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/6*840\/(-150). Solve 0 = -z*h - 4 - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4162 (base 7) to base 3.\nAnswer: -2000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(2\/29))*j*j**9*(j\/j**(-8)*j)\/((j\/(j\/j**10))\/j) assuming j is positive.\nAnswer: j**(321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*t**2 + 4*t - 146*t**3 + 0*t**2 - 137*t**4 + 64*t**4 + 74*t**4 wrt t?\nAnswer: 12*t**2 - 876*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -6\/17 (c) -0.106 (d) -3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c1 (base 13) in base 8?\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k - 95. Suppose 2*t + 4*c = 14 - 4, -3*t = 4*c - k. Is 6\/t*(-9615)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let d(b) = 318*b - 318*b + 12805*b**2 - 12801*b**2 + 2. Give d(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:18 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4083*s - 4743*s - 2 to the form x*s + w and give x.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -5*b + 48 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4129 + -4126. Let s(f) be the third derivative of 0*f**c + 12*f**2 + 0 + 1\/420*f**7 + 0*f + 1\/1344*f**8 - 1\/120*f**5 - 1\/480*f**6 + 0*f**4. Factor s(k).\nAnswer: k**2*(k - 1)*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1364*f + 341. Let c(d) = -3*d - 1. Calculate 682*c(b) + 2*w(b).\nAnswer: 682*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**6\/150 + v**5\/20 + v**4\/10 + 59*v + 5. Let p(y) be the first derivative of h(y). Suppose p(k) = 0. What is k?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -470 - -470. Which is the third biggest value? (a) -81 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 30 - 25*d to z + w*d and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - y + 0 + 1)*(-4543 - 4530 + 9093) in the form g + s*y and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3913 + -2\nAnswer: 3911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -1, 3\/7, -0.5, 45.\nAnswer: -329, -1, -0.5, 3\/7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1047 + -0.2404991.\nAnswer: -1047.2404991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 - (-14)\/3. Let n = -34.8 + 11.6. Let p = 32.2 + n. Which is the second smallest value? (a) 1\/5 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 16517.\nAnswer: 16517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152334853 is divided by 2630.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajajajjaajj. Give prob of picking 4 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 5*a**2 + a + 2. Let n be r(-5). Let y be (1 - (1 + 0))\/((-26)\/13). Sort n, y, -5 in decreasing order.\nAnswer: y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22.3842 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.64 and 0.4?\nAnswer: 1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/36 + (-47)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2355\/795 + (-14)\/(-371).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -s + z - 5, -2*s + 10 = 5*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 77?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 484 = 612. Suppose -t = -41*b + 25*b. Solve 1 = -b*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*j - 6, 0*j - 2*j = -5*d - 8. Let g be 5*(896\/(-450) - d)*-5. Let u be 1\/1 - (-22)\/(-16). What is the closest to g in u, 2, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 44*d\/3 - 14.\nAnswer: -2*(d + 1)*(d + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35647455 divided by 1?\nAnswer: 35647455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483405208 divided by 422557.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/155 and 83\/10646.\nAnswer: 1650130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*r + 68709 + 22466, 2*q - 36471 = -r. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (395 - 407)\/((2\/(-15328))\/(3\/18)) a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 13 - 1 + 3*o**3 - 6*o**3 - o**4 as c*o**2 + r*o + k + z*o**4 + g*o**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3210021124 (base 5) to base 15\nAnswer: 8cb25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/148500 and 37\/6750?\nAnswer: 148500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631 = 39*o + 813 - 781 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)*y**(-4\/13))**(3\/4) assuming y is positive.\nAnswer: y**(-675\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 2*o**2 - 2*o + (-2*o + 0*o + 4*o)*(-20*o - 12*o + 3*o) in the form v*o**2 + r + l*o and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 103966*s. Let o(z) = 3*z + 10. Calculate o(c(u)).\nAnswer: 311898*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -75, -119, -163, -207, -251?\n\"Answer: -44*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -122. Suppose 0 = 4*z + 4*p + 184, 0 = z - 3*p - 9 + 47. Let m = -26 - z. Calculate the remainder when l is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2\/4 - 240*c - 15860 = 0. Calculate c.\nAnswer: -52, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*c + 64 = 0. Solve -4*y - 6*p - 18 = -4*p, y - c = 2*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 105*z**2 - 230*z - 23397. Give o(-105).\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19.677702 nanoseconds?\nAnswer: 0.0000000003279617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - t - 125 - 127 + 266, 5*t = -2*c - 14 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12 and -10\/1737.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 21609 and 21608 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4*(-384)\/(-400).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g - q, -8*q + 26 = 2*g - 13*q. Calculate the highest common factor of g and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45865*c + 45959*c = 1410 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*p + 640 = 0, 2*n - 249 = 4*p + 49. Suppose -n = -g - 55. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010110 + 100111?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906 take away 5?\nAnswer: -2911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 26*p - 5. Suppose 131 = -7*t - 37. Let s be 10\/(-4)*t\/15. Sort 1, p, 0, s in descending order.\nAnswer: s, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 15. Let c be x(-20). Calculate the greatest common divisor of 150 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 7*k**2 + 32*k + 179. Give f(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12.09. Let j = x + 4.09. Let u = j - 3. Is -2\/9 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -506.8 times 4\nAnswer: -2027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 665.001155 + -665. What is h rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w + 184. Calculate p(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845207 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294 + -295. Let i = -79 - -90. What is the third smallest value in d, i, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 109, 207, 0, 4 in increasing order.\nAnswer: -3, 0, 4, 109, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from {f: 3, v: 2, l: 4, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 7*n + 2*n - 8*n**3 + 15*n**2 - n**3 - 61*n**4 + 58*n**4 - 12 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 728 and 896 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1972 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116427 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1480 and 41\/6040.\nAnswer: 223480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031518 take away -803?\nAnswer: -3030715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s**(-1\/21))\/(s**(-7))**(-3\/2) assuming s is positive.\nAnswer: s**(-607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -104. Is h 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 {b: 1, x: 6, u: 2, k: 3}. What is prob of picking 1 x and 1 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -15. Let f be (-3)\/z + 116\/28. Suppose 2*c - 4*c - 4*b + 30 = 0, 5*c + f*b - 87 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m*m**16*m)\/m)*m**(-11)*(m\/((m*m**(-2\/85))\/m*m)*m)\/m*m\/(m*m*m\/m**(-14\/5)) assuming m is positive.\nAnswer: m**(-2786\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keea when four letters picked without replacement from bkkbeearkrarlkkkaa?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 13\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0 + 0*o - 4\/3*o**3 - 1\/8*o**4 + 30*o**2. Let x(d) = 2*d**2. Determine l(x(c)).\nAnswer: -6*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:59 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Find the first derivative of -7*r**j + 6 - 4 - 9 wrt r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024529 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*f - 4*u, -22*u = -17*u - 20. Solve 11 - f = -10*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4108253590 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 37*j**4 - 14 - 5 - 28*j**4 - 77 with respect to j.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3401 + 5?\nAnswer: -3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-540)\/(-840))\/((-75)\/(-140))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6121 + 2?\nAnswer: 6123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 425135587 >= 425135586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -n, -12 = -4*n - q - 2*q. Let b be -3*(-3)\/((-27)\/12). Let d = b - -4. Solve d*h + n*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438 = 5*c - 428 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5450 + -5450.000104015. Round d to 6 decimal places.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 148*s**2. Let b(v) = 73*v**2 - 1081. Give b(x(t)).\nAnswer: 1598992*t**4 - 1081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 16*b - 80. Let r be d(-10). Let y = r + -171. Solve -6*j - y = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*f + 56 = 50, 2*s - 4*f = 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12904.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/96 and 67\/2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 h when three letters picked without replacement from {h: 5, q: 5, m: 4}.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 111. Let p(z) = -4*z + 1. Let v be p(-1). Put k, -5, v, -7 in descending order.\nAnswer: v, k, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 622778 and 1751387?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 <= 3357681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15413, 15498, 15583, 15668, 15753, 15838?\n\"Answer: 85*s + 15328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205875 and 875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 373\/5. Let q = 0.565 - 0.565. Which is the second biggest value? (a) -5 (b) r (c) q (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 - 7 = -s, -5*q - 4*s + 57 = 0. Which is the closest to q? (a) -3 (b) 2\/5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/63 and -97\/612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 3574488 = 11*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*o = -265*o - 1075485. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:06 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529035.\nAnswer: 5, 103, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w - 119*w + 72*w + 51*w.\nAnswer: 85*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 + 3*d**2 - d. Let h(f) = f**2 - 11*f + 16. What is the remainder when h(11) is divided by j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 24?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 290*h**2 + 38*h + 10738. Give p(-290).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 2*w - 7 + 0*w + 1. What is d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 48 = 150. Let v be (10\/s - 2)*(-63)\/14. Solve 1\/2*a**2 + v*a + 1 = 0 for a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - m**3 + m + 7*m.\nAnswer: -3*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39391104 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119.871 + -0.239. Let g = i + 121. Let a = -0.76 + g. What is the second smallest value in a, 1\/4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*l - 27522 - 15948 = 0 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245392215.\nAnswer: 3, 5, 16359481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -b. Suppose -3*n = 5*u - u - 56, b*u - 3*n - 56 = 0. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2859 + -2852. Calculate the greatest common divisor of n and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*u = 2*u + 112, -3*u = -6. Does 5 divide 1 - v - (11 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -4. What is the remainder when 95 is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 10. Suppose 0 = -a*q + 7*q. Suppose f + q = 2. Solve -2*c + 4 = f*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 less than -29?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275063 is divided by 519.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*q + 26, -2*q + 10 = 2*j - 0. Suppose -3*k - q = 1. What is the lowest common multiple of 36\/k*2\/(-4) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78035215 or -5?\nAnswer: -78035215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cynn when four letters picked without replacement from {y: 2, c: 3, n: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025593 to four decimal places.\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2. Let k(g) = -93*g**2. Calculate n(k(h)).\nAnswer: 60543*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 r when four letters picked without replacement from gggpggpgpgrgrggggg?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u**2 + 8. Let i be 2 + 2\/3*-3. Let k be f(i). Suppose -k - 31 = -3*x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 - 1. Let r be u(6). Let n be -29 - r - (-2 + (-4)\/(-6)). Which is the biggest value? (a) -2 (b) n (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1029*q**5 - 35868*q**4 - 327621*q**3 - 263490*q**2 - 73644*q - 6936.\nAnswer: -3*(q + 17)**2*(7*q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1681 and 77.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)\/(-1*sqrt(2)))\/((sqrt(22) + sqrt(3168) + sqrt(3168)*2)\/sqrt(11)).\nAnswer: 4*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*z**5 - 39*z**2 - z + 209477 wrt z?\nAnswer: -7420*z**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/186000 and -28\/465?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-635712)\/528*(-6)\/84.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 - 2841 - 513 = -241*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**2 - 28*a**2 - 1 + 12*a**2 to the form j + r*a**2 + s*a and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1571777 + -0.0774.\nAnswer: -1571777.0774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, w: 1, l: 5}. Give prob of sequence tl.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172599821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 50411604*b - 317666227231602.\nAnswer: -2*(b + 12602901)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 13 = -c + 4*q, 0 = 3*q + 6. Let t(b) = b**3 + 2*b**2 - 4*b + 1. Let u be t(c). Solve 5*s - 10 = 2*i + 5, -u*s = 2*i + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let s(u) = -u**2 + 2*u**2 + 0*u**z. Let f(v) be the second derivative of 7*v**3\/2 - 4181*v. Calculate f(s(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from tmqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + -4*sqrt(252)*4 + -1) - (-5 + (sqrt(252) + 1 - sqrt(252)) + (1 + sqrt(252))*1)**2*5.\nAnswer: -1311 - 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -3*l, -3*l - 11 = -2*q - 3. Factor 119 - 17*y**2 + q*y - 22*y - 29 + 5*y**3 - 3*y**2.\nAnswer: 5*(y - 3)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 86, 116?\n\"Answer: 30*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*t - 453 = 217, 3*m - 4*t = -503. Let v be (-2)\/(-3) + 80\/m. Let d = 1 + 1. Put v, d, 2\/17 in descending order.\nAnswer: d, v, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14988538 by -7494269.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 11*i**2 + i + 14. Let o be k(-11). Suppose -6 = -0*s - s. Find the common denominator of 11\/s - 2\/o and 137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 65 - 15 = 0. Let p = l - -29. Solve t = 5*s - 5, -p = -2*s - 0*t - 3*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, -825, -2125, -3425, -4725, -6025?\nAnswer: -7325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-28)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -23. Let l = 16 + o. Let m(x) = 7*x - 1. What is m(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39647, -39659, -39687, -39737, -39815, -39927?\nAnswer: -40079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pypjsjppjppcyysyjsys. Give prob of picking 2 j and 1 s.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8))**32*(r*r*r\/r**25)\/r*r**27 assuming r is positive.\nAnswer: r**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 8*x - 27*x. Suppose x = 8*y + 2*y. Solve -5*o + 3*o = 3*q + y, -5*q - o = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - v**3 + 4*v**3 - 8*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/5 - 141\/35. Let f = 7\/22 - -97\/110. Sort f, b, 0 in increasing order.\nAnswer: 0, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + 10*b**3\/3 - b**2 + 14*b + 1. Suppose 1611 = 75*u + 861. Calculate v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 40*w = 630. What is the common denominator of 151\/90 and (-8)\/1*(280\/(-441))\/w?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/155 and -32\/341?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from 11916964240.\nAnswer: 11916964259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210261, -418732, -627203, -835674?\nAnswer: -1044145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 + 261. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -839\nAnswer: 4195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 + g**4\/8 + 2*g**3\/3 + 13*g**2. Factor y(i).\nAnswer: -(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 + -53. Suppose -y - 13 = -j. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*y - 36, 55 = -4*y + 3*z + 7. Let m be (-72)\/y - (3 - 1). Solve -1 - 7 = -m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -34. Let y = 4.61 + -8.61. Which is the fourth smallest value? (a) m (b) -2 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-429)*((-4)\/14)\/((-39)\/(-91)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4906 and 8690?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 28*m - 30*m, 4*f + 11 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14560)\/(-234))\/56 - (1 + (-5)\/117)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -381\/777407 or 0?\nAnswer: -381\/777407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23363234?\nAnswer: 2, 293, 39869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 0) - (32 + -32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1181 (base 9) to base 3\nAnswer: 1012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13053080 to the nearest 10000.\nAnswer: 13050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 24*m**2 + 43*m - 18. Let x be v(-22). Let y(h) be the first derivative of -2 + 0*h**2 - x*h + 4\/3*h**3. What is the derivative of y(p) wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13860*r**2 - 1760 - 2154*r**6 - 13858*r**2 - 129*r**6 wrt r.\nAnswer: -273960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/10080 - 11*x**7\/5460 + x**6\/936 + 59*x**5\/30 - 12*x**2. Let b(w) be the third derivative of k(w). Factor b(c).\nAnswer: 2*(c - 5)*(13*c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-95)\/(-1))\/19)\/(2\/2 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72241951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, x: 1}. Give prob of sequence yx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/4 of a millennium in years?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 4 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(8*b**2 - 5*b**2 + 9*b**2)*(-50*b**2 - 56*b**2 + 124*b**2) as r*b**2 + u + f*b**4 + h*b + a*b**3 and give f.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-66)\/40) - 2. What is the nearest to 4 in l, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/53 in 2\/7, 1, -4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 21, -5264\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1894, -7732, -17250, -30448, -47326?\n\"Answer: -1840*d**2 - 318*d + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26549588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-36)*(-1 + -11). Let j(p) = -p**2 + 10*p + 6. What is the smallest common multiple of 22 and j(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68610 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140062 divided by 154.\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*p + 3 - 42*p - 36 as l + c*p and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17.93. Let n = 74.93 + i. Let s = n - 74.999999459. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -11*(-4)\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 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: Expand (5 - 7 - 4)*(-4*w + 157 - 157)*(6*w - 4*w + 0*w).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259719579?\nAnswer: 3, 7, 1123, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214734538?\nAnswer: 2, 859, 124991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:36 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 17280*k**2 - 15904500*k + 6163109000.\nAnswer: -4*(k - 290)*(k + 2305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 27.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a tonne in kilograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2\/4 - 9723*w\/4 - 3936807\/2 = 0.\nAnswer: -1659, -1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.55399l to millilitres.\nAnswer: 28553.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -5*k. Suppose 4 = v - 3*r, 4*v + 9 - 25 = k*r. Suppose 4*u + 12 + 4 = 0. Put v, 3, u in decreasing order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/(g\/(g**(-2\/5)*g)))\/((g*g**(2\/7)*g)\/(g*g**6))*(g*g**(1\/3))**(-30)*g**(-7)*g*g**(1\/5) assuming g is positive.\nAnswer: g**(-1347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*l**2\/9 + 28007156*l\/9 - 1098320\/3.\nAnswer: 2*(l + 823740)*(17*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115800, -463690, -1043500, -1855224, -2898856?\n\"Answer: z**3 - 115966*z**2 + z + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 - -213. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5 + 4 - u**3 - 2*u - 3*u + 5*u**2. Let p be c(4). Let f(y) = 3*y + 4*y**2 - 5 - 4*y**3 - y**2 + 3*y**2 + 5*y**3. What is f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 8.2\nAnswer: 2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 4, t: 2, c: 2}. Give prob of sequence vct.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 22 + 12. Let v = -12 - d. Let m = 1 + v. Which is greater: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 1, v: 5, r: 3}. What is prob of picking 2 r and 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/5 (c) -0.4 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 + -483. Solve -2*u = -m + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o + 180. Let q = o + -6. What is the greatest common factor of 210 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 37. Let u be ((-5)\/(-175)*259 - 7)\/(2\/(-10)). Let b(q) = q**2 - 18. What is u*f(v) + 5*b(v)?\nAnswer: -v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 66*i + 5. Let k be x(-22). Solve 5 = -2*r + 4*r + k*j, 5*r = -4*j + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (224\/(-35) + 4)*(-5)\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48312433 < 48312436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*-3*(-4)\/(-48). Sort z, 2\/11, -4 in descending order.\nAnswer: 2\/11, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -239, 2\/5, -1\/2, -78, -0.1 in ascending order.\nAnswer: -239, -78, -1\/2, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 714628877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:14 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1956.6 - -1956.5. What is the nearest to -4 in 0.07, z, -8.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (0 + 13)) + 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 8469*d**2\/2 - 3777*d\/2 - 2346 = 0.\nAnswer: -1564\/2823, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000084861416 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 2, 50, 152, 326, 590, 962, 1460?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -829 + 1554. What are the prime factors of u?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507826923143 - -9.7.\nAnswer: -507826923133.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 12 + 36 + 0*o**2 + 1 - 5.\nAnswer: 2*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 298677, 597350, 896005, 1194636, 1493237, 1791802?\n\"Answer: -j**3 - 3*j**2 + 298689*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54236*t - 587*t**3 + 27118*t + 27120*t to k*t + n*t**3 + d*t**2 + i and give n.\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*a - 25, -2*a + 32*d - 35*d + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*j - 90 + 85, 0 = -4*j + 2*a + 10. Solve -4*t = -9*t + j*d - 30, 0 = 2*t - 4*d + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.6 * 132\nAnswer: 1663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 4. Let j be r(-2). Is 1534\/5 + -5*j\/(-150) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:50 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*v - 137*v - 38*v + 86*v.\nAnswer: -229*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 (base 9) in base 5?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 25\/6*s**4 + 2*s + 73\/6*s**3 + 0*s**2 - 7 + 1\/20*s**5. What is the second derivative of t(r) wrt r?\nAnswer: 6*r + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.47 - -0.77. Let k = -22 - -114\/5. Let t(q) = -2*q**2 + 16*q + 19. Let f be t(9). What is the nearest to -0.1 in c, k, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 3\/2*y**2 + 1\/4*y**4 + 4*y + 2*y**3 - 7. Determine i(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 578999, 579000, 579001, 579002, 579003?\n\"Answer: s + 578998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.45 + 0.05. Let j = -0.5 - g. Is 6 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 8. Let z = 14 + -1. What is the remainder when z is divided by (-11 + 1)\/(1*r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = -15. Let g(l) = 4*l**2 - l - 3. Let m be g(s). List the prime factors of -1 + -4 + 2 + m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*2\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104958 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1211 divide 345075019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**4\/14 + 20*i**3\/21 + i**2\/7 - 12*i\/7 - 37. Factor y(s).\nAnswer: 2*(s + 1)*(s + 3)*(3*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6226*b - 99662. Give k(-16).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 3, -2, 4, -4 in descending order.\nAnswer: 227, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62596*x**2 + 3 - 33*x - 3.\nAnswer: 62596*x**2 - 33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.92432 rounded to one decimal place?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g - 18 = 0, -3*g = -0 + 6. Solve 6*p + k = 2*p - 2*n, -5 = -p - 4*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*h*l**2 - h*l + h + l**2 + 7*l wrt l.\nAnswer: 178*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*y + 2 = 0, 2*y - 4 + 2 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -6 - 1\/6*b**6 - 1\/3*b**3 + 0*b**2 + 0*b**4 + 0*b + 0*b**5. What is the third derivative of n(c) wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = -258 + 291 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -9797, -4, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 132 = -2*y - 2*a, -5*y + 2*a + 312 = 0. What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*t = 0, -4*f = t - 300. Let a = f - 56. Calculate the remainder when 34 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+318304558642600\nAnswer: 318304558642603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15*(-6)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 411 - 11. Is (-16)\/n - 5391\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.25 - 0.75. Let j = -31.99 - t. Let g = 2.99 + j. Which is the second smallest value? (a) 1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + d + 1 + (3 - 3 - 2*d)*(0 - 3 + 1) + 2*d + d - d - 2*d + d - d + 2*d + 0*d - 3*d - 5*d - 115 + 0*d + 116.\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w**2 + 2*w - 2. Let p be b(1). Let z be 26\/126 + p\/(-42). What is the closest to 1\/3 in 6, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -10 - ((30 - 23) + -23)) + -52.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 4*l**3 - 14*l**2 - 2*l - 6*l**2 + 33*l**2.\nAnswer: -l*(l - 2)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x - 9. Let i(l) = -l**2 - 4*l + 3. Suppose 0 = -5*k + 5*y, 12 = -5*k + 2*y - y. Let t be i(k). Determine d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2065*h**4 + 2*h**3 + 2*h - 7614. Let a(s) = -4122*s**4 - 5*s**3 - 5*s + 15228. Let r(j) = 2*a(j) + 5*o(j). What is the derivative of r(i) wrt i?\nAnswer: 8324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/((-7)\/(-798)*-15). Let i be (-8)\/(-3)*15\/4. What is the highest common factor of n and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21*b - 15. Let f(h) = -h - 1. Determine -18*f(r) + k(r).\nAnswer: -3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25702353 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -1, -36, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43545\/154 + -2007\/7. Let f = -8320 - -5295. Let z = f - -48385\/16. Calculate the common denominator of z and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 11*z - 7. Let s be i(4). Suppose -17 - 8 = s*y. Which is the fourth smallest value? (a) y (b) -6\/11 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 12 = -4*c + 2*p, c = 2*p. Let j be -2 - (7 + -5) - (-7 + c). Solve -s + 6 = 5*b, 6*b + j = 3*b + 4*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 989 and 4601.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3176354 to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*2*(-6)\/(-4). Let j be 2 - 0 - 5*s. Let r(y) = y**3 + 2*y**2 + 2. Calculate r(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 3 + 2*sqrt(700)*-4 + (-2*sqrt(700) + sqrt(700))*-2)**2*-5.\nAnswer: -126245 + 4200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 119912?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - -6. Let x = -52 + o. Solve -x = -2*p + w, 3*p + p + 2*w = 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 92. What is the third biggest value in -1, g, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a. Suppose a*w = 3*w + 42. Let p be (-564)\/(-14) - (-4)\/w. What is the highest common divisor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:28 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2464301)\/430122 - (-13 - -8). Let h = 2\/1617 + x. What is the common denominator of -13\/27 and h?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) + -3*sqrt(1872) - sqrt(1872))*-5 - (-3 + sqrt(1872) + 2 + (-1 + sqrt(1872))*-2))**2.\nAnswer: -2184*sqrt(13) + 15502033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15384 + -15348. Solve 45 = -h*s - 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/35 + 27\/5. Suppose 2*j = w*j - 69. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 21. Suppose -2*a = -3*s - 32, -a + 2*s = -g*a + 74. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-10474586\nAnswer: 4189834.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/7)*d*d*d**(-2\/35))**(-3\/23))**42)**(1\/55) assuming d is positive.\nAnswer: d**(-1764\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275, 278, 281, 284?\n\"Answer: 3*q + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 5*c + 145 = 0, -30621*c = -r - 30617*c - 53. Factor 18\/5*u + 44\/5 - 24\/5*u**2 + 2\/5*u**r.\nAnswer: 2*(u - 11)*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - 9*s - 1. Suppose 4*l + 36 = -4*z, -455*l + 452*l = -2*z + 7. Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**2 + 5450 - 8*j**2 - 7*j - 5441. Let n(s) = 4*s**2 + 6*s - 8. Let z(r) = r**2. Let g(x) = -n(x) + 8*z(x). Calculate -5*b(l) + 6*g(l).\nAnswer: -l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39368*y - 19108*y - 20267*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:51 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -55*q**5 + 1871*q**4 - 17469*q**3 + 23197*q**2 + 41824*q - 768 = 0.\nAnswer: -1, 1\/55, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43022 + -2?\nAnswer: -43024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -890*m + 1117. Let q(b) = -890*b + 1108. Let o(x) = -5*f(x) + 4*q(x). Find the first derivative of o(c) wrt c.\nAnswer: 890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 32\/24)*12\/(-10). Let o be 13\/z + 19\/(-76). Suppose -4*k - 136 = -d + 29, 495 = o*d - 5*k. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 2*x**2 + 4*x - 3. Let w be a(3). Suppose 4*p = 7 + w. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6112216 to the power of 1\/2, to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 97*n + 4 - 2 - 5.\nAnswer: 97*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + 4*h + 6. Calculate l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -56. Let k(b) = b**3 - 4*b - 2. Let o be k(-3). Let h = s - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -28 - 17. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364197 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 29\/9 (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -25*q + 455. Let u be z(18). Sort u, -18, -3 in increasing order.\nAnswer: -18, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 4*o + 0*o)*(111*o - 933 + 933 - 2*o + 3*o + 2*o + 3*o - o - 4*o + o - 3*o + 0*o + (2 - o - 2)*(0 - 1 + 2)) as f*o + s*o**2 + z and give s.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/(3\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - o - 67 = 0, -o = 3*s + 907 - 966. Solve -2*j + 40 = s*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 82. Let t be 3 + (-2 - y\/1). Let s = t + -24. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose r = -3*d + 3 + 3. Suppose -3*o = t + 33 - 13, d*t + 20 = -2*o. Put o, 0, -2 in increasing order.\nAnswer: o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 99 + (16 - 215)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k**2 - 31*k**2 + 45*k**2 - 10*k**2.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53375.979 rounded to the nearest ten?\nAnswer: -53380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12825 - -12857. What is the nearest to 2 in -2\/11, z, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 938179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 44. Suppose -4*c + 8 + 8 = s. Calculate the greatest common factor of c and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 - d**3\/3 - 3*d**2\/2 + 9*d. What is the units digit of t(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128829 or 1\/72?\nAnswer: -128829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**3 - 4*j**2 - 4*j + 4. Let w(c) = -285*c**3 - 105*c**2 - 105*c + 105. What is -105*q(r) + 4*w(r)?\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - -2. What is the third biggest value in q, -4, 0.2, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/49*17\/(374\/539)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(6*sqrt(24)\/sqrt(6) - sqrt(4)))**2*-3 + -5 + ((3 + 1 + sqrt(3))**2 - sqrt(3) - (sqrt(27) + 3)).\nAnswer: 4*sqrt(3) + 266\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1738 or 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.420705, 1\/5, -14?\nAnswer: 0.420705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjyjjjjjjy. What is prob of sequence jyyj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25395a (base 11) to base 7\nAnswer: -3255335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 6 - 9*8\/(-20). Put m, 3, -0.06 in descending order.\nAnswer: 3, -0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.27779 weeks in microseconds?\nAnswer: 3192007392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 137. Let t(b) = -264190*b**2. Determine q(t(d)).\nAnswer: 2113520*d**2 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -130*s + 5716. Determine k(35).\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2993 (b) 0.5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:44 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -310 + 11185. Which is smaller: j or -724?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 37*c**4 + 6*c**3 - 42*c**2 + 6. Let x(w) = -w**3 + w**2 - 1. Let j(h) = -r(h) - 6*x(h). Find the third derivative of j(q) wrt q.\nAnswer: -888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*b = -o + 21, 4*o + 3*b + 228 = 252 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a**3 + 6*a**2 + 9*a + 5. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-56)\/(-8) + 1056 - -2). Round o to the nearest ten.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 7*y - 1. Let t(u) = -u**2 + u. What is -t(g) + w(g)?\nAnswer: 6*g**2 - 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07171906 + 7.\nAnswer: 6.92828094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4)*3 - (-200)\/160. Suppose 5*w + 4 = y*u - 5, -3*w = 2*u + 15. Let a(v) = -8*v - 4. Calculate a(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + x - 3 = 0, -5*w - 9 = -5*x + 6. Suppose w = 3*o - o - o. Solve n - 2*d - 3 = o, 2*n - 4*d = -n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174.335 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*p + 1404, 2*t + 4*p + 1112 = 6*t. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12112, -23953, -35800, -47659, -59536, -71437, -83368, -95335?\nAnswer: -107344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h)*(3 - 5 - 1).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5039583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 9)*((-2*w - 2 + 2)*(3*w**2 - 7*w**2 + 3*w**2) - w**3 - 4*w**2 + 4*w**2 + 5*w**3 - 2*w**3 + 0*w**3) - w**3 - 2 + 2.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 4) in base 9?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 + 808?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(5 + sqrt(180) + 5 - (3 + sqrt(180) + sqrt(180))*-2).\nAnswer: 32 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -707147\/22306 - -21\/1174. Let o = 8915\/228 + h. Find the common denominator of -71\/30 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -9 - ((10 + -4 - 8) + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 11, 32, 73, 140?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-12)\/9. Let w = -4.03 - -0.03. Let u(k) = -k - 5. Let r be u(0). Which is the closest to h? (a) w (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/9, 439?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 55334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 2:22 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 1549*h + 4287. Determine s(-307).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w = 8. Let x be (w - (0 + -3)) + 1. Let l be (-28)\/48 + ((-3)\/(-9))\/1. What is the smallest value in -5, l, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x, 2*f + 5*x - 44 = 0. Suppose 0 = -p + 3*t - 18, 0*p = -p + 5*t - 28. What is the remainder when f is divided by ((3 - -4) + p)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002349360016 rounded to 6 dps?\nAnswer: 0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 345 and 324 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k\/k**6*k)\/k)*k)\/k)**(-15\/4) assuming k is positive.\nAnswer: k**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4 + 1960*z + 3770*z + 3. Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 2, -18, 8352 in decreasing order.\nAnswer: 8352, 49, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*76\/(-57))\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)*2\/(-3). Let k = 12 + -11.93. Let h = 0.43 + k. What is the second smallest value in 5, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -7*o**5\/10 + o**4\/4 - o**3\/2 - 3*o**2\/2 + 24*o + 89. Let x(h) = 13*h**3 - 2*h**2 + 2*h + 2. What is 3*x(r) + 2*y(r)?\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/17850 and -7\/8500.\nAnswer: 178500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-366*(-2)\/84 + -12). Is u at least as big as 5354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzg when three letters picked without replacement from czuzdzuuxzzguxz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose 3*y = -3*j + 18, -2*y = -5*y + 4*j - 17. Let n be y - ((2 - r) + 2). Solve 3*g = -3*u + 15, -g + n*u - 2*u + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24904*y - 49805*y + 58*y**3 + 24901*y.\nAnswer: 58*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.3478294295941 and -16.\nAnswer: -13.6521705704059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 33915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -j - 94, 0 = -3*b - 3*j + 63. Suppose -b*z + 22*z + 209 = 0. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*o - 76 - 175 = 0, 0 = -4*q + 2*o + 320. Let r(h) = 124*h - 13586. Let f be r(110). Calculate the greatest common factor of q and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) 3 (d) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1264697 decades to millennia.\nAnswer: 0.001264697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250 - -126 - 351) + -1 + -18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r + 0*r)*(-2*r**2 + 11*r - 11*r) - 2*r**3 + 0 + 0 - 5*r - 4*r**3 + 5*r + 24 - 24 + 6*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 8*f - 45. Let x be a(13). Suppose -23*d + x = -3321. What is the remainder when d is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -262, -265, -268, -271, -274?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -189, -373, -579, -819, -1105, -1449?\n\"Answer: -2*f**3 + f**2 - 173*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 3*w + 6. Let s(t) = t**2 - t + 1. Let a be (-4)\/(-30) + (-130)\/(-150). Suppose 3*u = -0*u - 15. Calculate a*h(o) + u*s(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4734)\/(-28404)*804\/2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130? (a) -58 (b) -125 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245.925ml in litres?\nAnswer: 7.245925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5, -2*n - 38115 = -3*n + 2*b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -4, 0, -2596, -2\/13 in ascending order.\nAnswer: -2596, -31, -4, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64.7 + 65. What is the closest to 0.1 in -4, 11, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, 2\/7 in increasing order.\nAnswer: 2\/7, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {w: 1, f: 2, i: 1, l: 3, k: 3, q: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1 + 4*t + 2*t - 6*t - 2*t. Let z = 113 + -118. Let d(i) = 43 + 0*i - 35 - 7*i. What is z*w(b) + d(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.07 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, -0.2, -25060, 0.14, 31?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -88. Let m = 14 + i. Let f = m + 14. Which is the nearest to 1\/4? (a) 1 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*a + 2*a - 3*a**2) - 11*a**2 - 3*a**2 + 4*a**2 + (3*a**2 + 4*a**2 - 5*a**2)*(-1 + 0 + 3) + 2*a - 2*a + a**2 + 0 + 3*a**2 + 0.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 19734792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(12)\/(sqrt(6) + sqrt(6)*-4) - (-2 + sqrt(2)*-2*2))*-1)**2.\nAnswer: 52*sqrt(2)\/3 + 374\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i**(-3\/4)\/i*i))*i*i*i)\/i)**(-3\/4) assuming i is positive.\nAnswer: i**(-27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*u + 21 = -u, 12 = 3*j - 3*u. Let v = -38 + 41. Which is the nearest to j? (a) -2\/13 (b) 2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-30)*p**19*(p**(2\/9))**5 assuming p is positive.\nAnswer: p**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22214347.\nAnswer: 1493, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 72 = 4*n. Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1. Let l(c) = c - 1. Let w(m) = -l(m) + q(m). Let y(z) = z + 52. What is y(w(i))?\nAnswer: -i + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62672 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 2\/23? (a) 15 (b) -3 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1243*r - 16 - 2*r**3 + r**2 + 2485*r - 1247*r + 0 to t*r + v + k*r**2 + g*r**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75.708 + 79.5. Let z = s - 0.092. What is z rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*l + 30 - 70 = 0, -h - 19 = -5*l for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times 1817.3\nAnswer: -3452.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 317 = 2263. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -149094?\nAnswer: -149096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + t - 296 = 0, 0 = -2*i - 4*t + 592. Suppose -2*n + 2*q + i = q, q = -4. What is the tens digit of n\/(3 - 1) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374209205 divided by -3?\nAnswer: 458069735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*b + 97 - 649 = 0, 4 = -b. Is 113 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -3, -1\/6, 0.5, 1207, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 191*x - 24. Let t(w) = -169223*w + 21276. Let b(f) = 4*t(f) + 3546*v(f). Let n(m) = -2*m. Determine b(n(q)).\nAnswer: -788*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688539, -1377074, -2065607, -2754138?\nAnswer: -3442667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/6 + -1 + -3. Suppose 0 = c - 4*c. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3568 - -3571. Solve -g*c = 123 - 117 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1)\/(2\/4). Suppose a*z = 11 + 1. What is w in 4 - 1 + 0 + 4*w**z - 3*w**2 - 3*w - w**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) 5 (c) 1 (d) -308.5 (e) -1611\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - b**4 + 3*b**4 + 3*b**3 + b - 1 in the form g*b + u*b**3 + a + i*b**4 + w*b**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172.8 - 148. Let u = -24 + q. Which is the nearest to 0? (a) u (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1. Let u(l) be the second derivative of l**3\/2 + 7*l**2\/2 - 4*l. Let b(h) = 3*f(h) + u(h). Differentiate b(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3197 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/144*4*20\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.4088 to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -28*b**2 + 2*b + 38. Let z(j) = -27*j + 1. Let x(n) = 6*y(n) - 13*z(n). What is x(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68097 + 132723 = 4285*s - 22000 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2467525702+20\nAnswer: -2467525682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*z + 24, -5*v - 4*z = -0*z + 21. Let h = v + 6. Suppose -85 = -5*u + s - 0*s, h = -s. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 144\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1.2, 4, -329 in decreasing order.\nAnswer: 4, 1.2, -3\/8, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -78, -163, -290, -465, -694, -983, -1338?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 3*h + 3 - h + (-3 - 2*h + 3)*(-1 - 1 + 3) + 3*h - 2*h + 0*h + h + 2*h + 2*h to s*h + f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/51 - 369\/765. Put y, 7, 4 in descending order.\nAnswer: 7, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -72*z**2. Let n(q) = -2*q**3 + 4*q**2 - 3*q + 2. Let m be n(4). Let y = -72 - m. Let h(p) = -74*p**2 + 38*p**y + 38*p**2. What is h(x(f))?\nAnswer: 10368*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5381830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -468?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/595 and 157\/783020?\nAnswer: 783020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1890855 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289377.11999936 - -289377. Let l = -0.12 - o. Round l to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7957252 meters in centimeters?\nAnswer: 79.57252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 59*i**2 + 1242*i + 48. What is the thousands digit of y(69)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5978 and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 27897 + 15360. Let z = -9900 - n. Suppose 2*v - 4503 = -u, 0*u = -u + 2*v + z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*r = 4, -10*r + 11*r - 4 = 0. Solve 2*m + 26 = h*a, -2*a - a + 5*m + 30 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-126)\/343*-7 - -5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-769))\/(1092\/5616 + (-1)\/(-18)). Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z + 6*z = -8, -5*z = 0. Suppose -203 = -76*a + 25. Suppose 5*y + 8 + 17 = 0. Sort s, a, y in ascending order.\nAnswer: y, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/125 or -1?\nAnswer: -9\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -65\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + 3*r**3 - 9*r**2\/2 - 11*r + 662. Determine a(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -12. Let j be ((-2)\/4)\/(w\/(-406)). Let k = j - -57. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.4. Let v = 3.7 - p. What is the second smallest value in v, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0.2 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*v = 12, 645*n - 650*n = -3*v + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m + m)*(327*m**3 + 83*m**3 + 374*m**3).\nAnswer: 3136*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9687*p**3 + 2416*p**2 - 6.\nAnswer: 58122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -267040 to the nearest 1000.\nAnswer: -267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, -4, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/3)\/f*f)**13\/(f**(3\/2)\/(f**(-1\/5)*f)))**36)**41 assuming f is positive.\nAnswer: f**(154734\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*y + 0*y = 17, 2*y = 3*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18689, -18694, -18711, -18746, -18805, -18894, -19019?\n\"Answer: -q**3 + 2*q - 18690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72128 is divided by 23440?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2466241 and 2428.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -49352.6 and -0.13.\nAnswer: -49352.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 25. Suppose 11 = r + 1. Let f = r - z. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**3 + 65*w**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**3 + v**2 - 3*v - 13. Let c(p) = -28*p**3 + 5*p**2 - 16*p - 63. Determine -2*c(s) + 11*n(s).\nAnswer: -10*s**3 + s**2 - s - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 - -274. Sort -4, a, 0, -3 in descending order.\nAnswer: a, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -428.5 - -428. Let d be (845\/(-20))\/(-13) - (2 + 1). What is the nearest to -0.012 in d, l, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w. Suppose 5*s = g - 10, 4*s = 5*g - 0 - 29. Let o(y) = -13*y. What is g*o(h) - 4*l(h)?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -458*x**2 - 361*x**2 - 1708 - 387 with respect to x.\nAnswer: -1638*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from zpaabrbbparorop?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 15*v**5\/4 + 275*v**4\/4 - 6105*v**3\/4 + 14405*v**2\/4 - 2535*v\/2 - 880 = 0.\nAnswer: -32, -1\/3, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 131121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1101001110100100?\nAnswer: -1101001110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -f + 3*u, 17*f + u = 19*f - 226. Solve 10*t = f - 145 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29941.917 months?\nAnswer: 2.49515975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - 13*a**3\/6 + 9*a**2 - 13*a. Let g be b(-14). Differentiate 2 - 3*q**2 - 4 + 7 + g*q**2 with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 8. Suppose 2*o = 5*a + 7, -2*a - o + 6 = -m*a. Let w = 4 + a. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a + 2. Let r be d(-1). What is the fourth biggest value in r, 4\/3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1330 - -14721?\nAnswer: 13381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103043314 (base 5) to base 7.\nAnswer: 3513065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {b: 2, k: 3, z: 1, n: 7, l: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-2)\/2 - -2). Let f = h + 12. Let t be 2\/(-1 + 1\/3). Sort -5, f, t in increasing order.\nAnswer: -5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 64*i + 9. Let f be r(27). Suppose -u - 5*a = 2*u + f, 0 = 3*u - a + 279. Let v be 158\/u - -2 - 1\/3. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvq when three letters picked without replacement from {y: 1, v: 4, q: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*v + 5*n, 4*n - 2 = -v - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 82536316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444 divided by 574?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7366 is divided by 2450.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37 (b) -0.88 (c) -1661\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34423214 (base 5) to base 9\nAnswer: -523621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 3 - 1)*(-3 + 2 - 1) - 26 - 5 - 4)*(0*l - 3*l + l)*(1 + 0 + 1) in the form g*l + u and give g.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 311769 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 - 88 - 18 + 11)*(3*d**4 + 10*d**2 - 10*d**2).\nAnswer: -741*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 10*x**2 - 20*x - 2. Give c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 12*x**2 + 12*x + 19. Let h be g(13). Let c be 5*(4\/(-6))\/(h\/27). Is ((-4684)\/(-10)*c\/(-6))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c = 1167*t - 1163*t + 370, -3*t = -2*c + 130 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8206 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1384)\/1557)\/((-4)\/3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3033*h - 6017*h + 3184*h to i*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2088 - -2083. Let z = 1.3 - 0. Which is the biggest value? (a) -1\/10 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from bgxmxqybxxxqbxq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36639.578 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -267.83 and -397445983.\nAnswer: -397446250.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 4*y**2 + y + 2. Let q = -9 - -6. Is 5 a factor of z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {b: 3, w: 7, h: 4, f: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 113*t + 19. Let h be u(-14). Suppose 0*b - 5*r = -2*b + 25, -2*r = -6. Solve -h*o - 2*d - b = d, -3*o = 3*d + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293938577 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60\/48510749 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1415302 and 108962.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -161?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*w - 7, -3*w - 5*r = -10 - 7. Sort 4, -2, -3, w in decreasing order.\nAnswer: 4, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -15*q + 40. Suppose -8*k + 4 = -q*k. What are the prime factors of (k\/4)\/((-3)\/216)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65202561?\nAnswer: 3, 53, 136693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 59*m + 59901000. Round m to the nearest 10000.\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/3, -3, 0.813445, 0.4 in decreasing order.\nAnswer: 0.813445, 2\/3, 0.4, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/10)\/(44\/110). Let m be x\/(-20) + 501\/15. Calculate the greatest common divisor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3677*y**6 - 1810*y**5 - 2*y**2 - 4*y - 27735.\nAnswer: 441240*y**3 - 108600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145\/3 - 48. Let t = 104970 + -104971. Which is the fourth biggest value? (a) v (b) -0.06 (c) t (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.251 + 75.251. Let c = z - 74.99864. What is c rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 86250?\nAnswer: -133\/86250","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -16. Let h(c) = l*c + 3*c + c + 7 - 8. Let k be 5\/(-30) + (-14)\/(-12). What is h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51821\/69 - 751. Suppose 5*t - 30*o + 27*o = 15, 2*o = -10. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/152 - 4*(11 + 9218\/(-836)). Solve 3*u**2 + 0 - s*u**4 + 0*u**3 - 4*u = 0 for u.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0 + 1\/2*y**3 - 4*y + 0*y**2. Let v(h) = 1. Let u(r) = 5*r - 4. Let i(z) = -u(z) - 4*v(z). Determine i(t(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ca (base 14) to base 7.\nAnswer: 12043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2268\/2520)\/((-6)\/10)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 52*n**2 - 49*n + 144. Let v be g(-51). Suppose 7*c - v + 7 = 0. Sort -7, c, -6, 0 in ascending order.\nAnswer: -7, -6, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -140 + 136 + 5 + 1. Solve -a*i = 15*h - 13*h - 2, 3*i - 11 = -h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5398671 is divided by 185.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 - (5335 - 7)\/(-48)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -63503*i - 138. Let x(j) = -21167*j - 48. Give -8*t(w) + 23*x(w).\nAnswer: 21183*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*g**2 - g**3 + 0*g**3 - 1495*g**2 + 3*g**3 to the form v*g**2 + d*g**3 + h + a*g and give v.\nAnswer: -1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:04 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-76 + 74)\/(2\/(-318)). Sort -5, 0, g, 3 in increasing order.\nAnswer: -5, 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 98.204. Round c to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/24 + m**3\/6 - 5*m**2. Let w(c) = -2*c**2 + 5*c - 6. Calculate -5*b(t) - w(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 5*j + 312 - 65, 221 = -3*j - 8*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 - -262. Suppose -17 = -3*u + 3*i + 43, u - k = -2*i. Calculate the highest common factor of 84 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 - (44 + -47). Solve 11*n = t*y + 12*n + 21, 3*n + 3 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*g = -481*g + 16601079. Is 120 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43d6a (base 14) to base 3\nAnswer: 22100201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.153 (c) 292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371\/6 + -4607\/78. Let l = -226\/91 + v. Which is the nearest to -0.1? (a) l (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247542\/216 + -1 + (-2)\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 259430*a. Let o(x) = -x + 10. Determine o(r(i)).\nAnswer: -259430*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-39)*(-3)\/2. Is ((-4568)\/16)\/(1\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*x - 2 + 2 + 353*x**3 - 355*x**3 to n*x**2 + o*x**3 + s + a*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 391037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 5) to base 15\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 16. Let i(h) = 2 + 0 - b*h**2 + 3*h + h**2. Give i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -4, -0.5, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -41226*u. Let m(k) = -7*k**2 + 18. What is d(m(w))?\nAnswer: 288582*w**2 - 742068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193043 is divided by 95.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 4*m**2 - 3*m**2)*(-m**2 + 3*m**2 - m**2) - m**2 + 2*m**4 + m**2.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 29*w - 571. What is o(-22)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4729551597?\nAnswer: 3, 41, 12817213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = 5*k - 6, 0 = 2*t - k - 4. Let d(i) = -3*i - 1 - t*i + 2*i. Determine d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 1. Let h(q) = 8*q**2 + 4. Let m(v) = 4*a(v) - h(v). Factor m(k).\nAnswer: 4*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(40) - -1*sqrt(2560) - (sqrt(40) + (sqrt(40) - (sqrt(5760) + (sqrt(5760) - -1*sqrt(5760)))) + sqrt(40)))\/(sqrt(48)\/(-1*sqrt(6)*3)) + -3).\nAnswer: -252*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppic when four letters picked without replacement from opcipcpcwwcv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -86, -110, -144, -188, -242?\n\"Answer: -5*w**2 + w - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12707, 13052, 13397?\nAnswer: 13742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 32*r - 668. Let u be d(47). Which is bigger: u or 147\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85736 + -59067. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10953 - 7659. List the prime factors of y.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**2 - a. Let v(q) = 56*q**2 - 6*q - 1. Let c(g) = 2*v(g) - 11*z(g). Let s(n) = 4*n**2 + 1. Let t be -4 - -5 - 2\/(-2). Determine t*c(i) + 5*s(i).\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*n**2 - 190*n**2 - 8*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -578*g + 5. Let o be b(1). Let n = -805 - o. What is n rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 5*q**3\/3 + 15*q**2 + 45*q - 10. Factor o(z).\nAnswer: 5*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/4 - 14*l**3\/3 + 1. What is the third derivative of c(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 3.8?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(16992\/(-960)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 7. Suppose 0 = -2*t + r + 80, 3*t + 5*r = 2*r + 120. Suppose -5*j + 5*n = 3 - 23, -3*j - 4*n = -t. What is l(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16128852.\nAnswer: 2, 3, 17, 79063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmn when four letters picked without replacement from {n: 1, e: 1, s: 1, m: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -2\/11, -2\/3.\nAnswer: -2\/3, -2\/11, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23331 + 1231?\nAnswer: 31222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1184*u + 2040 with respect to u.\nAnswer: -1184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d + 1. Let f be i(2). Let q = -77 + 148. Let w = q - f. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11476, 21, -1, -3\/8, 0 in decreasing order.\nAnswer: 21, 0, -3\/8, -1, -11476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 832.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i - 8. Determine d(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + -4*sqrt(5)*3 + -1 + sqrt(20) + sqrt(20)*-1).\nAnswer: -60*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 104, 156, 208?\n\"Answer: 52*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -1362, -2036?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - -1558382?\nAnswer: 1558358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 22*j + 6. Let w be t(-7). Let p = w - -196. Let c be -3*(-4)\/18*3. Sort c, 0, p in descending order.\nAnswer: c, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160a (base 13) in base 12?\nAnswer: 1a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2709, -5453, -8231, -11043?\nAnswer: -13889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16833 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4)*-6 + 3)**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26463*u + 1821. Let r be d(3). What is the highest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29601530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kss when three letters picked without replacement from ktttksktttktktksgkkk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h, 2*l - 5*h = 5*l - 7. Let v be -74*(30\/6 + -7). Suppose 4*q = -5*j + v, -5*j = -l*j + 3*q - 34. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101000 + 0?\nAnswer: 1000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 + 10*n - 7. Suppose 22*f - 66 = 66. Calculate i(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + t = 5, -d - 13 = -5*t + 12. Solve d = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:38 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (34\/15)\/(((-76)\/(-57))\/2)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1483, 2958, 4433, 5908, 7383, 8858?\n\"Answer: 1475*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.224185 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:09 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2)*(-3)\/(-18)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*r**3 - 3*r + r**3 + 3*r + (4*r**2 + 0*r**2 - 3*r**2)*(18*r + 52*r - 4*r) - 82 + 82 + 19*r**3.\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**5\/5 + 4*s**4 - 1308*s**3 + 18716*s**2 - 408184*s\/5 + 98784 = 0.\nAnswer: -49, 2, 5, 9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1124317\/259 + -4341. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 19. Let b be 1 - 0 - (-97 - w). Suppose -b = 10*y - 14*y. Calculate the remainder when y is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 16*h - 168. Let b be m(36). Suppose -3*u = u - b. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2547 and 172347.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34206, -68395, -102586, -136779?\n\"Answer: -x**2 - 34186*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71543 is divided by 35680?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -92, -145, -214, -305, -424?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(209) + 1*sqrt(209) + sqrt(209))\/sqrt(11) + -2.\nAnswer: -6*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.8784 centuries in decades?\nAnswer: 1098.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -10, -2*r - 2*a = r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 14. Let u(a) = -19*a**4 + 5*a**2 + a. Let j(r) = -19*r**4 + 6*r**2 + r. Let o(s) = v*u(s) + 5*j(s). What is the second derivative of o(k) wrt k?\nAnswer: 228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let s(l) be the third derivative of -l**4\/24 - l**3\/2 - 4*l**2. Give -3*b(f) + s(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 4*x - 3. Let i be n(-5). Let z(c) = -c + 5*c - i*c. Let r(a) = -2*a. Calculate z(r(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/15 - -32\/45. Let f = -23 - -22.56. Let r = f + 0.04. Which is the closest to -1? (a) r (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86)\/(-645) + (-1)\/5)\/((-326)\/(-489)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-109410)\/12504*8\/5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 + 280*t**2 + 315*t - 21618. Determine k(70).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -10*w + 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.2. Let w = 16008 + -16009. Let t be -1 - -1 - 6\/51. What is the smallest value in p, w, -3\/7, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008461 to 4 dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 22199*m - 110990. Calculate j(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 14 = 64. Let i = 19 - c. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 89. Let z be t(-29). Let k(g) = 525*g**2 - 1. Is k(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -3*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17952, 35957, 53962, 71967?\nAnswer: 89972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28931 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 58*v - 12. Give t(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(3 + -2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by 6\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l - 320 = 26*l + 178. Put -3, l, 0, -1 in descending order.\nAnswer: 0, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -4, 5, 2\/3475?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mytt when four letters picked without replacement from ymtytttmmtmmmty.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:02 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/57 and 35\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 67. Let y(k) = -4*k**3 + k**2 - 2*k - 3. Let z be y(n). Suppose -w + 4*w = -4*r + 282, -z*r - 2*w = -284. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 392*t - 2706. Calculate h(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2035*o. Let w(v) = -3*v. Determine k(w(s)).\nAnswer: -6105*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110001110111111011110 (base 2) to base 15.\nAnswer: 13ac772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9390 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: -234 divided by -2\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 74*q**2 + 144*q**2 - 1.\nAnswer: 218*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -4 - 70\/(-7). Is 0 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -68. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.88 - 7.3. Let q = m - -0.82. What is the nearest to 4\/5 in 5, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106067.9 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 4 + 8*s**2 - s**2 - 29*s**3 + 0 - 7*s. Let f be m(4). Round f to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*v)*(-1864*v**4 + 104*v**4 - 533471*v**3 + 533471*v**3).\nAnswer: 7040*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27*x**3 - x**2 + x. Let i be u(1). Let k = i - -201. What are the prime factors of k?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((4\/(-18))\/(31\/279))*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4066 + 2174?\nAnswer: -19a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -206 + 210 + 1 + (-1 - -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2 = 3*h, 5*p + 0*p + 26 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1024 - 1025. Let f(q) be the third derivative of 1\/8*q**4 + 0*q**3 + 0*q - 3*q**2 + 0. Calculate f(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 83?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 17. Suppose 3*l + z - 66 + 10 = 0, -4*l + 74 = z. Calculate the least common multiple of l and (-198)\/(-15) - u\/10.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 - 180. Suppose 0 = -4*q - 4*p + 28, -x*q - 12*p + 15*p - 9 = 0. Suppose -u = 5*y - 17, 4*u = -0*u - 12. Sort q, y, 1.\nAnswer: 1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1421805 and 495.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -710, -2630, -6338, -12422, -21470, -34070?\nAnswer: -50810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 6*o + 5. Let t be m(6). Sort 7, t, -5, 3.\nAnswer: -5, 3, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42750 is divided by 299.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 25*s - 29*s + 18*s + 74, 0 = 5*d + 3*s + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5676114 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1462745*y - 2925537*y + 1462748*y.\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 56. Suppose 4*y - 246 - 71 = i, -y - 5*i = -53. Let t(q) = q - 78 + q + y. Calculate t(n(d)).\nAnswer: 2*d + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 28. Let q(w) = 14 - 210 + 2*w + 182. What is -3*o(m) + 5*q(m)?\nAnswer: -2*m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 26?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -q - 5, 15 = 5*q + 3*m - 6*m. Let i be (q - (-3 + -3)) + -3. Find y such that -4\/7*y**4 + 0 - 2\/7*y + 0*y**i + 4\/7*y**2 + 2\/7*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*4\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 3961.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 - 35 = 3*k, 4*y - 20 = -4*k. Calculate the greatest common factor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*52\/(-39)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4046\/9 - -450. Which is smaller: q or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 13684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - -0.33. Suppose -7*f = -4*f + 6. What is the closest to -0.1 in f, v, 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*r + 0*r - 18 = 0, -3*m + 1 = -4*r. Solve 0 = -5*u - m - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8435*d**3 - 38*d**2 - 8.\nAnswer: -50610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -50733*i + 101475. Give m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101100000010001 (base 2) in base 11?\nAnswer: -38615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*b - 6041 = 147*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 4 - 3)*(4*a**3 - 3*a**3 + a**3).\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 10*l + 5*l - 17*l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 352 - 584. Let b = 215 - c. List the prime factors of b.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b + 2*b + (-3 + 19 + 30)*(1 - 2 + 2)*(-10*b - 3*b + 4*b).\nAnswer: -413*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 21, 19, 15, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/6 + u**3\/6 + 4*u**2. Let d be s(3). Suppose -2*m + d = 3. Solve -4*t - 28 = 4*p, p = -4*t + m*t - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 10. Suppose -3*q + 38 + 61 = f. Let y = 56 - q. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 9. Let d(l) be the first derivative of l - 1 - 1\/3*l**i + 0*l**2. Solve d(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d - 10. Let s be k(2). Solve 7 + 5 = s*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t**2 + 9*t**2 + 50 - 52. Let n be a(4). Solve -n = -z - 5*f + 15, z + 4*f - 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21049 smaller than 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8292*s**4 + 8291*s**4 - 230 - 15 + s + 1 in the form u + q*s**3 + b*s**2 + t*s + a*s**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -486*y - 121505. What is c(-250)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-11 + 29)) + 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 6. Let c = -1 - t. Let x(o) = 9*o**3 + o**2 - 2*o + 1. Determine x(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:39 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -35 + 17 + 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 6 + t**3 - 5*t**2 - 2 + 2. Let c(a) = -a**2 + 10*a + 16. Let w be c(11). What are the prime factors of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1\/2*o**4 + 2 + 0*o + 1\/3*o**3 + 1\/5*o**5 + 0*o**2. Determine t so that q(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**8\/48 + l**4\/6 + 2*l**2 + 2. Let g(f) be the second derivative of r(f). What is the second derivative of g(s) wrt s?\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 354 - 376. Is v bigger than -46\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 44*d + 89. Let w be u(-6). Solve 2*j - 6 = 3*f, -f + w = -j + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + 91 - (-2 + 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 370110 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -14*t**3\/3 - 15*t**2\/2 + 33*t - 147. Let p(q) = 5*q**2 + 5*q - 12. Let y(g) = 11*p(g) + 4*w(g). Determine y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:30 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -2*w. Suppose 7*d - 9*d + 16 = w. What is the smallest common multiple of 5 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(242) - (-3 + sqrt(242))) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8*k**15*k)**35)**(-5\/13) assuming k is positive.\nAnswer: k**(-4200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262 less than -183655872.46?\nAnswer: -183659134.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0 + 1 - 3 - h**2 + 2*h. Let s(b) = 4*b**2 - 7*b + 6. Let g be (-5)\/(-2)*2688\/1680 - 18. Determine g*a(w) - 4*s(w).\nAnswer: -2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -44, -165, -402, -791?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 200 = 5*r + 65, 3*r + 138 = 4*s. Let l = 40 + r. Which is smaller: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6437*g**2 + 4272*g**2 + 13097*g**2 to k + w*g + s*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1774, -719, 1\/2 in decreasing order.\nAnswer: 1774, 1\/2, -1\/8, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -5, 0, 5?\n\"Answer: 5*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -96*w + 3657. Give c(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007237378 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/22)\/((-9 - 133\/(-14))*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.34 + -458.34. Let t = c + 445.47. Let j = 0.53 + t. Which is smaller: 1\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6551nm?\nAnswer: 0.0006551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2, -8, -0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101111232 (base 4) to base 12\nAnswer: -35126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 r when four letters picked without replacement from wijkrkrwkiwwiwwkjw?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let n be (-4)\/(-1) - (g + 0). Solve x - n*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 7*u**2 + 6*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/6 (b) 0.02 (c) 1 (d) -0.5 (e) 1.7 (f) 20455 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-4 + 2*sqrt(4)\/sqrt(2))*-6.\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265334513?\nAnswer: 265334513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 7*r - 9. Let c be y(-4). Let k be 94\/18 + (-2)\/9. Let t be (k + 4)\/c - -1. Solve 15 = t*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 64*y**2 - 238*y + 167. Let l = -9 + 21. What is the remainder when b(-60) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 7*v**4\/4 + v**3\/3 - v**2 + v + 1. Give n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + 0 + 1. Let s be (25\/10)\/(4\/8). Solve -2*v = -j*v + 2*z + 7, -5*v - s*z = -5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1353449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69818 is divided by 17398.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3632 is divided by 1058?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*(-12)\/15. Suppose 5*h - 31 = -m*j, -j + 3 = 2*h - 9. Suppose 2 - h = a. What is the closest to 1 in -4, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4090830.1\nAnswer: 4090838.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 42*b**2 - 5*b - 75. What is v(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-21) + (-14)\/49. Solve -20 = o*f - 7*d + 2*d, -16 = -5*f - 4*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -172. Find the third derivative of -8*x**3 + 2*x**4 - 7*x**4 - 11*x**w + 15*x**3 - 187*x**2 - 11*x**4 wrt x.\nAnswer: -384*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/6)*((-3920)\/(-147))\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*n**6 + 234*f**2*n**2 + 1119*n**6 + n wrt n?\nAnswer: 120*f**2*n**3 + 134280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 + (1 - 5)). Suppose -1 = -3*n + 5. Suppose -2*g - n = -3*g. Solve -f*i = 4*x - 18 - 6, 3*i - 5*x - g = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*m + 4, 4*m - 20 = -2*u + 8*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.09 (c) 16\/1901\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -473, -702, -931, -1160, -1389?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(45)\/(sqrt(3) + sqrt(24)\/sqrt(8)))\/(-3*sqrt(720)) + 5)*2)**2.\nAnswer: -7*sqrt(3)\/9 + 84673\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 71176 in descending order.\nAnswer: 71176, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 2*f + 4. Let s be h(3). Let r(m) = -m - 4. Let k be r(s). Suppose 0*c + 52 = k*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from ijjihiijjjih.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14386835 and 10.\nAnswer: 28773670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2580776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -36117496954475.\nAnswer: -36117496954475.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 882239317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 48*q + 460. What is g(54)?\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -25*i**7\/42 - 19*i**6\/2 - 17*i**5\/4 + 95*i**4\/4 + 55*i**3\/3 + 4*i - 22. What is a in q(a) = 0?\nAnswer: -11, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/809496 and 1\/72854640.\nAnswer: 72854640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24890 (base 10) to base 14\nAnswer: 90dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-6))\/(((-11)\/132)\/((-4)\/16))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/(-81))\/(4\/(-30)). Let n(r) = 3*r + 1. Determine n(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*v - 2*v - 3*v)*(1 - 4 + 4)*(0*v - v - 2*v).\nAnswer: 6*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 = 10. Suppose -2*y + k*y + 2*z = 6, 0 = -3*z. Find the common denominator of y\/(-10) + 1 + 342\/(-80) and -107\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l**3 + 1. Let h be y(-1). Let z = h - 11. Calculate the least common multiple of 9 and 30\/z - 2\/4.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*u = 29, 0 = -2*u - 4 + 14. Let p(f) = -2*f**3 - f**2 - 1. Is 4 a factor of p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 2*d - 9. Let q be l(5). Solve 4*f - 25 = 3*o + 2*o, f - 7 = q*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 332323023?\nAnswer: -332323100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127366719 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + 1 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13761889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 13. Let c be t(-2). Suppose -3*g + 3*s - c - 7 = 0, 3*s - 8 = -g. Put 0, -2, -5, g in increasing order.\nAnswer: -5, -2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -152, 33.\nAnswer: -152, -1, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgbeqedceegceq. Give prob of picking 2 g, 1 c, and 1 b.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(4 + (sqrt(156) - ((-1*sqrt(156) + sqrt(156))*5 - sqrt(156)))\/sqrt(12)*-5*-3).\nAnswer: 32 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*d + 2*v, 0 = -3*d - d - 3*v - 18. Let n be 17 - 14 - -1*11. Let q = d + n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnqk when four letters picked without replacement from nnnknnnnqnnnnnnn?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 147*t - 1735. What is f(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-399729\nAnswer: 119918.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3*o**2 - 3*o**2)*(-o**2 - 3*o + 3*o) - 180*o - 2 - 5*o**4 + 180*o.\nAnswer: -3*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 1. Let d(j) = 5*j. Determine -2*c(a) + 3*d(a).\nAnswer: 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-7) - (-4)\/14. Suppose 4*l = 2*l - 20. Calculate the remainder when (-64)\/(-20)*l\/y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64803572309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -7*y + 31. Suppose 0 = 4*u - k - 72, 5*u - u = 3*k + y. What is the remainder when 50 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 20 - 17)*(-2*g + 2 - 7*g - 15*g) to q*g + m and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198150 - -328037. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let p(d) = -1. Let t(h) = -j(h) - 3*p(h). Let c be t(-2). Suppose c + 1 = k. Solve 2*i = 3*q - 4, -2*i - k*q + 16 = -0*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.048023 - 0.0483. What is o rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*g - 48111 + 62019 = 0 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 770768*w**4 + 3165510 wrt w.\nAnswer: 3083072*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525\/104 + 64\/13. Let u = 0 + 1. Is u at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.5 + 7.5. Let u = 18525.957 + -18593. Let p = u + z. Round p to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 14*j = 164 - 1524 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - 12\/(-64)*-4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-6 - (7 + -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x**5\/x*x))\/x)\/x)\/x*x**9)**(1\/8)\/((x**10*x)\/x**(-4))**(-11) assuming x is positive.\nAnswer: x**(1323\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9cbb (base 15) to base 9.\nAnswer: 50545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091863564 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/111 != -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1100)\/1650)\/(549\/162*2)?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 473 and 6 - (-125)\/10*(4 - 36\/(-15)).\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 5. Let z(c) = 19*c**2 + 30. Let b(n) = 6*j(n) + z(n). Let v(q) = -5*q - 814. Determine b(v(t)).\nAnswer: 25*t**2 + 8140*t + 662596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/360 - k**5\/24 + k**4\/3 + k**3 + 30*k + 89. Let z(c) be the third derivative of h(c). Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and ((-1)\/2)\/(9 - 7565\/840)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 972\/102 + -5 + (2 - -5). Is 12 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 3196.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 477*l**2 + 820 wrt l?\nAnswer: 954*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 - -79. Let t = 37 + b. Suppose -t = 2*g - 319. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/6 - -2)*4. Suppose w*f + 0*f - 10 = 0. Let i(q) = -q + 28. Let p be i(19). Solve p = 3*c, 6*c = -f*h + c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -59 - 25. Let z = v + -1. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 25*m + 31. What is x(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y**2 - 9003*y + 10251. Let b(a) = -17*a**2 - 27010*a + 30752. Let w(g) = 5*b(g) - 14*x(g). Differentiate w(d) with respect to d.\nAnswer: -2*d - 9008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7096 - 4053. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4871 or -4939?\nAnswer: -4871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, 325, 958, 1845, 2986?\n\"Answer: 127*g**2 - 2*g - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19\/2, 0.2, -3\/32, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 24*q = 29*q - 19, 0 = 5*q - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.56 + 36296890?\nAnswer: 36296821.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2349 = 3*y, 4*b = -y - 333 + 1106. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87900.6ml to litres.\nAnswer: 87.9006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 5*c**4 + 7*c**3\/2 + 3*c**2\/4 + 400*c. Let u(r) = 0. Calculate r.\nAnswer: -1\/4, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 44630*h + 99591845.\nAnswer: 5*(h + 4463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 938141929 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 9*v**3 + 11)*(2*v + 2*v - 2*v) + 3*v - 3*v + 2*v**4 as o*v**2 + t*v + b*v**4 + z*v**3 + m and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide -2 - ((-6713)\/7 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (5 - 1148344\/96). Let f be 23907\/(-2) - 2\/(-4). Let w = h - f. What is the common denominator of w and -17\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - c + 699, 15*c - 352 = -2*k + 17*c. Calculate the greatest common factor of k and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520*k + 14630 - 95375 = 11975 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j - 43*j - 11952 = -16*j + 254*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*a - 74*a - 2. Let d be (-27 + 1 + -2)\/1. Let r be a\/(-9)*210\/d. What is the nearest to 0.2 in r, -2\/5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 1103*o**2 - 1109*o**2 + 4426*o**2 - 1105*o**2 + 221 - 1110*o**2.\nAnswer: -o**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u = -71*u - 500. Suppose 0 = 5*a - 4*a. Suppose 6*y = 2*x + y - u, a = 3*x + 3*y - 33. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 24 = 0. Let b(w) be the third derivative of 0*w**4 + 0*w - 1\/60*w**5 - 2*w**2 + 0*w**3 + 0 - 1\/120*w**u. Suppose b(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 14*k + o + 714 - 748 = 0, 3*k + 57 = 3*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -114 (b) 0.23 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/22219 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -26. Let l be (-9)\/(p\/96 + (-7)\/21). Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*a**4 + 1 - 4*a**3 + 83*a**4 + 7*a + 0*a**2 - a**2 to j*a**2 + d + k*a + y*a**3 + w*a**4 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 416 - 437. Let u be n - -18 - 3\/(-24)*-18. Are u and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away -1797?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by -3292\nAnswer: 299\/3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -34, 32\/57, -0.5, -0.2, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 3312?\nAnswer: 29808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -9602 - 36944. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekeuujjjjuj. Give prob of sequence ejju.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5451 and -25\/237.\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/5))**31*(h\/h**1)**(6\/31) assuming h is positive.\nAnswer: h**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/40 + 1\/(-4). Let f be (c\/6)\/((-2)\/234). Let d = f - 33. Solve -o - 2 = -d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/(2 + -1). Let q = -168 + 183. Does 5 divide (-3 + q)\/w - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757272?\nAnswer: 2, 3, 139, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -481.62 + 482. Which is smaller: -1\/3 or a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 156*k**2.\nAnswer: -k**2*(k - 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105 + -101 + (0 - 2). Let v be (-3 - 0)*(-3 - -2). Let i(p) = -4*p**l - p - 3 + 9*p**2 + v. Let r(b) = 9*b**2 - 2*b. Calculate 5*i(w) - 3*r(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-24)*-3*-6. Suppose 3*k - d = -5 + 17, -2*d = 3*k - x. Suppose -2*b + 44 = 7*j - 4*j, 49 = k*b - 4*j. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 11*p + 13. Let g be t(-10). Let f(v) = -4*v - 29*v + g*v - 10*v. Let i(b) = b. Determine i(f(n)).\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) 1\/4 (c) 0.3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l*p**2 + 11*l*p*s - 5080*l*p - 6141*p**2*s wrt s.\nAnswer: 11*l*p - 6141*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72.65873 and 0.\nAnswer: -72.65873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 226947672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 121?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32644*u - 28645.\nAnswer: -32644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765263589?\nAnswer: 3, 19, 673, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/k*k**2*k**6*k**(1\/8) assuming k is positive.\nAnswer: k**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -13. Let i(b) = -b**2 - 7*b - 10. Let o(s) = 1. Let q(c) = -i(c) - o(c). Is q(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let p be c\/1 - (-3 + 1). Suppose p = -2*o - 2*o + 36. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1120 = 2*w + 2*w, 0 = w + 4*z - 294. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 82610.\nAnswer: 82609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 11*g - 11. Calculate n(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 20 = 0. Let x be 35\/2 + (-2)\/z. What is the greatest common factor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 18*w + 12*w - 49*w - 6 + 15*w. Let j be p(-2). What is the derivative of 30 + 23*r - j*r - 2*r wrt r?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 357.9 - 358.9. Let f = -0.5 + 0.8. What is the nearest to -0.2 in -5, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9770069, 19540138, 29310207, 39080276, 48850345, 58620414?\nAnswer: 68390483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3267 - 3266.97. What is the closest to 1 in 0.5, 1, k, 3\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716990525 divided by -143398105?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128279 + -128275. Suppose 6 = u - 4*k, 8*u - 5*u - 3*k = 0. Let h be 0\/(-2)*(3 + u). Put -7, g, h in increasing order.\nAnswer: -7, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let z(i) = 22*i**2 + 10*i. What is -10*q(s) - z(s)?\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -2*i + 5*u, -5*u = 2*i - 529 + 210. Suppose 0 = 5*j - 113 - i. Suppose 5*x - j = -5*s, -3 + 4 = s. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (11 + (103 - 114 - (8 - 1)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 8*t + 13. Suppose 0 = -3*x + 5*g - 16, 3*g = 5*x + 12 + 20. Let u be p(x). Solve 0 = 3*r + 5*d + u, 4 = -2*d + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 767*c**5*m + 521*c**2 - c*m wrt c?\nAnswer: 46020*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90001.79mm to meters.\nAnswer: 90.00179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077666833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 40?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from hhmmhmnhtjhhmht.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (12\/(-4) - -3). Solve -g = -k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -43, -41, -27, 5, 61, 147, 269?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - -0.5. Suppose 4*t = -23 - 97. Let j be (-3)\/((-15)\/(-2))*t\/18. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1041 + -1094.3. Let z = k - -53. Let t = 0.3 - 0.2. What is the biggest value in t, z, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289446 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g - 1. Let l be d(0). What is the remainder when (-4 - (-70 - l)) + 1 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 300 = 4*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/4)\/f)\/f)**(-1)*((f\/(f*f**(-3\/8)))\/f)\/(f\/f**(-3\/7)))\/(((f*(f**(2\/5)*f)\/f)\/f)**(2\/43)\/(f**(-3)\/f**(-2\/11))) assuming f is positive.\nAnswer: f**(-349689\/132440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 624 = -33. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3638 - -2?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.6 (c) 2 (d) -0.4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 21. Let s be y(0). Suppose 0 = 3*u + g - 12, 0*u - 3*g = -3*u. Suppose -c = -m - u*c + s, -c = -2*m + 22. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862493 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.7. Let l = -30 - -27.1. Let q = k - l. Which is the second biggest value? (a) q (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - 1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:45 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -688862, -1377867, -2066872, -2755877, -3444882?\n\"Answer: -689005*y + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2)\/(-4)*4. Let n = -3\/2 - -9\/10. Let d = -353 + 348. What is the third smallest value in k, n, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/19 + 280\/133\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -22. Let t(l) = 99*l**2 + 4*l - 3. List the prime factors of t(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*s + 39 = 23, -6*s = 2*b - 16. Suppose 5*q - 7 = 8. Suppose -b*h = q*h - 105. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24634\/1526 + 12\/14 + 1*-6. Suppose 3*h = h - 4*c - 594, -4*h - 1206 = 2*c. Let u = 457 + h. Calculate the highest common factor of r and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -749982084.8 rounded to the nearest ten thousand?\nAnswer: -749980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268 + 70 - 32*b**2 + 166*b**3 + 65 - 2*b + 64 + 70 to the form i*b**2 + n + l*b**3 + t*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 44569 (b) -31 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 94*f - 992. Let n be b(16). Suppose 0 + 12 = 2*k. Let y(s) = s - 2. Let q be y(k). Solve n = j + q*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4109118\/11 + 373950. Factor -54872\/11*a + 2\/11*a**4 + 260642\/11 + c*a**2 - 152\/11*a**3.\nAnswer: 2*(a - 19)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {k: 1, m: 3, x: 4, l: 1, b: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -271826 take away 0?\nAnswer: -271826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18*(-4)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a - -3b?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 6*p = t + p + 16, -q*t + 10 = 4*p. Which is the nearest to t? (a) 5 (b) -0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z + 1. Let d(b) = 60*b + 3. What is -2*d(u) + 9*x(u)?\nAnswer: 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -20, -0.2, 0.25, 1\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 711, 1093, 1525, 2025?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2749 + 56*t - 946*t - 2749 to a + l*t and give l.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 40998.2101 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 3*a**2 - 4*a - 4. Let v(p) = 4*p**3 + 2*p**2 - 3*p - 3. Let j(i) = 2*v(i) - 3*z(i). Is j(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -3.7. Let j = -6 + v. Let c be (77\/(-35) + 2)*(-2)\/1. What is the closest to -0.1 in 3\/2, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -512 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113519 by -11.\nAnswer: 113519\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 440\/242 - (-4)\/22. Suppose -2*n + 1162 = k*f, n + 4*f - 198 = 395. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from {r: 2, i: 6, c: 1, h: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -11 - ((-7 - 11) + 6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.88 + 13.98. Which is the third biggest value? (a) -3 (b) s (c) 0.06 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 60. Let c(s) = -2*s**2 + 76*s - 51. What is the remainder when 64 is divided by c(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 614*z - 5765. Determine n(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*l + 1327, 5*l = -u - 3*u - 5336. Is u\/(-9) + (-8)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, -1\/5, 9485, 4, -2, -20, 2\/3?\nAnswer: 9485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79844?\nAnswer: 2, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4*b)*(-1 - b + 1) + (-6 + 1 - 1)*(-2*b**2 - 2*b**2 + b**2) to c*b**2 + p*b + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -15*m + 15. Calculate the least common multiple of ((-6)\/(-4))\/(12\/16) and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1091711*g**4 + 563346.\nAnswer: 4366844*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10684825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**2 + 1. Let q be y(1). Let f = q + -9. Let w(n) = -f*n - 10*n**2 + 9*n**2 - 6 + 5. What is w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 8 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*a + 42, 0*v + 14 = v + 2*a. Let y(q) = 18*q - 6. Let i be y(2). What is the greatest common factor of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 7. Let x(c) = c - 3. Let b be x(5). Let f be 1\/2 - 27\/b. Let k = 8 + f. Give q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 11*m + 348. Calculate i(-20).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 12139\nAnswer: 4\/12139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121120222111110 - 1?\nAnswer: -2121120222111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = 3*o, -3*o - 2*o = -3*p + 31. Sort -4, p, -0.5 in increasing order.\nAnswer: -4, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2, 241 in ascending order.\nAnswer: -3, 2, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y = -49*y + 88*y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/7, 33, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 2\/7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -2*o + 4*l, -o + 486*l = 483*l - 101. Calculate the remainder when 371 is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*c, 5*v - 3*c = v - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237975 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let o(i) = 4*i - 11. Let u be o(4). Let g(w) = u*w + 0*w - 3*w + 4*w. Determine m(g(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117))\/sqrt(9) - (-5*(sqrt(13) + -1))**2)*-2 + ((-2 + sqrt(39)\/sqrt(3) - (sqrt(325) + 2 - sqrt(325))) + 4)**2.\nAnswer: -98*sqrt(13) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -42*x**2 + 37*x + 3. Let o(i) = 2*i. Calculate f(o(r)).\nAnswer: -168*r**2 + 74*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 995, 2232, 3973, 6224?\nAnswer: 8991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g = -53*g. Suppose -72*p + 434 + 214 = g. Let o = 6 - 4. Solve -5*t + 2*t - w - 2 = 0, t + o*w = -p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**4 + 5*i**2. Let y(j) = j**4 + j**2. Let c be 0\/(-3) - 4\/(-4). Let a(z) = c*s(z) - 3*y(z). Find the third derivative of a(n) wrt n.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411*o**2 + 27*o**4 - 135*o**2 + 3*o**3 - 3 - 129*o**2 - 141*o**2 + 2 to l + p*o**3 + z*o + f*o**4 + q*o**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 66 = -x, 41 + 17 = -x - 3*k. Calculate the common denominator of 109\/20 and (-179)\/x - (-1)\/(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*q**2 + 438*q**2 - 883*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1121, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*i - 32, -2*n - 51*i + 45*i + 203 = 175 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -7. Suppose -3*s + 4*s = d. What are the prime factors of ((-28)\/(-6))\/(s\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 3*v**2 - 4*v - 10. Let r be m(-3). Solve -4*g = -4*x + 4, -5*g + g - 4 = -r*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -758.\nAnswer: -758, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose -5*o = -b - 2, o = z*o - b + 1. Let u be (((-6)\/15)\/1)\/o. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -4.08. Suppose 0 = p + 3*t + 11, -5 = t - 2. Which is the biggest value? (a) o (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 581218 or 4068534\/7?\nAnswer: 4068534\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395241*p**2 + 197618*p**2 + 197629*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149444 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5473 + 5475. Which is the closest to 0? (a) 4 (b) 9.4 (c) 0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = -2*m + 27*q + 79, -111 = -3*m - 3*q. Suppose -m*n + 19525 = -79707. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, i: 1, j: 9, s: 1, u: 5}. Give prob of sequence ust.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240894203 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/101? (a) -3 (b) -2 (c) 2\/7 (d) 10\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*9\/(-36))\/(6\/8).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001695854 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*b**3 + 12*b**2 - 21*b**2 + 9*b**2.\nAnswer: -273*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*n - 154*n + 92675 = 726413. Does 36 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 6*p**3 + 10*p**3 - 2*p**2 + (5*p**3 + 17*p - 17*p)*(2 + 1 - 4) in the form h*p**3 + y*p**2 + k + r*p and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 j when three letters picked without replacement from {i: 1, m: 1, c: 2, a: 1, u: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 2 = -3*q - 5*u, 11*q + 326 = 3*u. Sort q, -6\/7, 0.1 in descending order.\nAnswer: 0.1, -6\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.18838285990526 - -4\nAnswer: 4.18838285990526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 10915680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43934 - -43933. Suppose 4 + 0 = 4*g. Which is the closest to v? (a) -0.04 (b) 2\/9 (c) 1\/2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308877716 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 141626 = 4*h - 106984, 4*h - 124303 = -g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, t: 1, r: 5}. What is prob of sequence rr?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180437123 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -120*w**2 + 9*w + 259. Let i(f) = -58*f**2 + 4*f + 129. Let x(z) = 7*i(z) - 3*t(z). Differentiate x(c) with respect to c.\nAnswer: -92*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**2. Suppose -5*n + 4*s + 12 = 0, -5*n = 4*s - 16 - 12. Let v(l) = -n*l**2 - 8*l**2 + 10*l**2. Calculate v(c(r)).\nAnswer: -200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-154)\/35 - 717\/(-5). Let v = d - 135. Solve -7*o = -v*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:50 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s)\/s*s)**(-49)*(s\/(s*s**3))\/(s**(4\/3)\/s) assuming s is positive.\nAnswer: s**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/213 and -55\/3.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-65 - (-15 - -58))\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5039706772 to the power of 1\/3, to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 14 - 6) + (8 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170) - -1*sqrt(170)) + sqrt(170) - ((sqrt(170) + -2*sqrt(170))*1 - sqrt(170)))\/(sqrt(110)\/(sqrt(11) - 1*sqrt(11)*-3)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 182 = 9*f. Solve 35 = -0*o - f*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a factor of 2705142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2581\/(-9570) - (-162)\/540?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**2*s**2 + 2*i**2 + 8*i*s + 4*i + 2*s**2 - 315*s - 2 wrt i.\nAnswer: -10*i*s**2 + 4*i + 8*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a + 536 = 24*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -43*a**2 + 555*a + 52. Let p be s(13). Let i(x) be the second derivative of -5\/78*x**4 + p*x**2 + 29*x - 1\/130*x**5 + 2\/13*x**3 + 0. Factor i(y).\nAnswer: -2*y*(y - 1)*(y + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24961719440 rounded to the nearest one million?\nAnswer: 24962000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2 + 3*b**3 + 40 - 23*b**2 - 10*b**2 wrt b.\nAnswer: 9*b**2 - 70*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -2*6\/4. Let s be 0\/(-2) + 3 + v. Solve s*q + 6 = 7*q, 2 = -h + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255710408.\nAnswer: 2, 31963801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a8 (base 11) in base 3?\nAnswer: 10222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkma when four letters picked without replacement from azzzaazzmtmaazatkz.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 588*k + 20650. Determine o(-89).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1, 142, 1, -0.1 in descending order.\nAnswer: 142, 1, -0.1, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*n, 0 = -0*m + 5*m + 5*n + 80. Let d be -7 - m - (2 - 1). Suppose -41 = -d*r - 11. What is the highest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.088 minus -386?\nAnswer: 347.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -950, -1, -3\/2?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1015973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180267\/3962 + -2\/1981. Suppose 2 = -n - 5*o - 4, 4*n - 4*o - 24 = 0. Calculate the common denominator of n + -3 - (-89)\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 37*t - 1497*t**2 + 2748*t**2 - 1551*t**2 + 3 wrt t.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5833271 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(48\/1))\/((-4)\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1330779*b**4 + 28771*b**2 - 11*b?\nAnswer: 31938696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294856552 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -1. Suppose -t = -o - 14, o + 4 - y = -t. Solve -2*h + 1 = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -122101.\nAnswer: 23\/122101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -652, -1304, -1956?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193828 divided by -21.\nAnswer: 193828\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96454739 is divided by 96454713.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400649832 + -50890?\nAnswer: 400598942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 8 = 6*d. Solve -17 = 6*b - d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 281711660*d*g**3 - 255*g**3 + 3*g**2 - 371*g + 2 wrt d?\nAnswer: 281711660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759286008?\nAnswer: 2, 457, 541, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245868 and 14154.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/491 and 49\/792.\nAnswer: 388872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 1562937 - (-5 + 0 - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 20\/50 + (-33)\/(-5)?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 39882506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -178*h**3\/3 + 7288028*h**2\/3 - 24866710592*h - 558803712.\nAnswer: -2*(h - 20472)**2*(89*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(187) + sqrt(187))\/(sqrt(176) - (sqrt(176) - sqrt(176)*-2)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34275.\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 - 46 = 4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29265 - 17405. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3652*m - 36518. Give d(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0 - 3*n + 3 - 3. Let v be p(-1). What is the third derivative of 0*q**6 + q**2 + 0*q**6 + q**6 - v*q**2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -526, -2026, -3542, -5080, -6646, -8246?\n\"Answer: -p**3 - 2*p**2 - 1487*p + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*a = -8 - 10, 33152*b + 6*a + 44 = 33156*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 2*s**2 - s - 50. Let q be v(0). Let f be 45\/q + 10\/20. Let m = 2\/57 + 4\/57. Which is the closest to -1? (a) -0.5 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjlanaggggnn. Give prob of sequence lj.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 + 77. Let u be s(0). Suppose 5*o - u = -r + 21, 2*r = -4. Does 10 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/(8\/40). Suppose -f + 5*f = -o - 19, 0 = x*o + f. Solve 3*s + o = -3*n + 5*s, s = -5*n - 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611521 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121879575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:08 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5539 divide 240010409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 37 = 3*k, 34 = -2*c + 2*k + 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3517 (base 8) to base 7\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 34. Let i = u - -58. Suppose 4*t - 33 = -5*q + 3*t, q + t = i. 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 are the prime factors of 11371751?\nAnswer: 863, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-28))\/(1*(-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/19 - 65\/76. Calculate the common denominator of (-74)\/(-10) + (-26 - -23) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 31*p + 15 = 0, 17183 = 4*b - 5*p. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 3*a**2)*(5*a + a - a)*(-a**2 + a**2 - 2*a**2).\nAnswer: 30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = 2*y + 4*a, -3*a - 6 = 0. Suppose 1 + 38 = y*b. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in minutes?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6336759 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111001011100110100 (base 2) to base 6\nAnswer: 5013232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/10)\/(5\/(-25)). Suppose l*x = 9*x - 155. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/18*12\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0 - 2)\/(-1). Suppose 5*a = -3*q + 6, 4*q + 4*a - 5*a = -15. What is the units digit of v + 0\/(1*q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3720166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z + 66*z = -15 - 25 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -7*q**6\/6 + 5*q**4\/12 + q + 34. Let p(n) be the first derivative of k(n). What is the third derivative of p(l) wrt l?\nAnswer: -840*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - 4*(sqrt(228) - sqrt(228)*3)) + sqrt(228))\/sqrt(12).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*i + 10, -4*h + 8 = -627*i + 631*i. What is the nearest to -4 in h, 4, 0.2, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3213 and 187272.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - sqrt(324)*-3)*2)\/(sqrt(108) + sqrt(108) + 2*(sqrt(108) + (sqrt(108) - -2*sqrt(108)))) + 2.\nAnswer: 4*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) -1\/234 (b) 1\/4 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9451 and 7134051?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**7\/56 + 13*l**6\/120 + l**5\/8 - 5*l**4\/24 - 13*l**3\/24 - 3*l**2\/8 + 377*l. Solve k(z) = 0 for z.\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*k**4 - 2*i*k**3 + 4*i*k + 16*i - k**3 + k wrt k?\nAnswer: -12*i*k**2 - 12*i*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(27\/12)*-3. Let p(a) = -4*a + 3. Let w be p(3). Let u be ((-3)\/w)\/(2\/12). Put 1, r, u in increasing order.\nAnswer: r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -18. Solve 8 = -3*i - y, -5*i - 3*y + s = -8*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*a = 23 + 12, 5*a = 25. Calculate the greatest common divisor of r and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 24*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377750 = -3*p + 5*p + 23*p. What are the prime factors of p?\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u - 26 = 75*u. What is the derivative of u*c - 26*c + 99*c**2 - 157 - 192*c**2 wrt c?\nAnswer: -186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/((-1)\/2*-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9060252, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 53 = -8*c + 9*c - 40*x, 151 = 3*c - x for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 - 4*p + 10. Give c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(8\/12*6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4502 (base 8) to base 10.\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 66?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*b + 60, -13 = -3*c + b + 7. Suppose -c*r + 6*r = 5*v - 2473, -2*v + 2*r = -978. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1388 = -0*i. Let j = i + 608. Is (2\/6)\/(1\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 15 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 84?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1694 - 5304. Let y = d - 919. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 8*o**2 - 3*o - 23. Let r = 9 - -17. What is the lowest common multiple of r and h(7)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437865083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 503127084 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 14. Determine g(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765117?\nAnswer: 3, 151, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let y(z) = 3*z. Let d(w) = w**2 + w + 1. Let o be d(0). Calculate o*y(h) - 2*l(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 + 4)*(0 - 1). Solve 2*f - t = 2*d, f - 4*d - 13 = 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 1014, -3\/5, 33.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d**2 - 165. Suppose -5 = -2*l - 5*h, l + 5*h = -0*l + 5. Let w be r(l). Let t = w + 275. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-6) - (-1 + 3 + 2). Suppose s = -2*b - b + 5721. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 7*r + 197 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -29.9. Let w = -40.4 - -40.2. Put w, 0.4, o, 1\/7 in increasing order.\nAnswer: w, o, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 3*z. Let x be 2\/(-2)*(-112)\/z. Suppose g = -4*t - 11, 0*t + t - 1 = -4*g. Solve x = 3*o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykhf when four letters picked without replacement from {f: 1, y: 8, k: 4, h: 2}?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 (base 8) in base 7?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 11. Let w be g(8). Is (-8 + 2130)*((-3)\/(-2))\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*o + 12*l**2 + 10*l*o**3 - 893*o**3 + o**2 wrt l?\nAnswer: 2*l*o + 24*l + 10*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 + 5*x**2 - 7. Let d(z) = 6*z**3 + 7*z**2 - 10. Suppose f = -4*f - 25. Let w be (-7)\/(-35) + (-13)\/91 + 243\/35. Calculate f*d(b) + w*t(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 277.226 weeks?\nAnswer: 167666284.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -23 (b) 0.1 (c) -8 (d) 0.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11278 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28\/6*-3*(-14)\/441\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 39*j**3 - 1 + 4 + 27*j**2 + 24*j**3 - 61*j**3 as n*j**3 + u + m*j + r*j**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3457 + 3522. Calculate the greatest common factor of 9685 and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v + 195*v - 80 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/(2\/22). Suppose -3*b - v = -89. Calculate the lowest common multiple of 2\/(-2 + 4) - -1 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5486 + a - 472 - 4988.\nAnswer: a + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 224*p**3 + 31*p**2 - 56*p - 94. Let u(s) = -43*s**3 - 6*s**2 + 11*s + 19. Calculate -6*r(q) - 31*u(q).\nAnswer: -11*q**3 - 5*q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 3, q: 1, u: 4, a: 2}. What is prob of picking 1 a, 1 q, and 1 h?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11558514 is divided by 2086.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5397586 and 40481895?\nAnswer: 80963790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12830, 25675, 38518, 51359?\nAnswer: 64198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 48*a + 70. What are the prime factors of q(31)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11764*l. Let a(s) = -802*s**2. Give w(a(f)).\nAnswer: 9434728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3222 + 3851. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2207251*k**2*p**2 - 18*k**2 + 18*k*p**2 + 310*k*p - 300*k wrt k.\nAnswer: -4414502*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189970 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-69)*(-1 - -1)*1. Suppose t = 3*l + 4*q - 462, -l + 184 = -q + 37. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q + 160. Let h be q\/12*6\/(-5). Solve m = 1, -h*t - m = -5*m + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*q + 9523 = 178*q. Are -1498\/17 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120201012 (base 3) to base 8\nAnswer: 74640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + 0 + sqrt(1053) + sqrt(1053))**2 + (sqrt(1053) + 2)*3 - (3 + (sqrt(1053)*1 - sqrt(1053)))*4).\nAnswer: 63*sqrt(13) + 4207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6171*t + 3227 - 3227 + 1276*t as v*t + z and give v.\nAnswer: -4895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-13) - (-3)\/(-117)*6. Is 557 - 0\/(-1 + f) - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2762 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499166347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -23. Let s = f - -34. Let x = 29 - s. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31328 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-5))\/((-6 + 8)\/30). Let p be (-3)\/5 - (k + 12784\/(-40)). Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-2 - (-3 - 3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/2501237 and 119\/1622424.\nAnswer: 60029688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -33, -2, -6 in decreasing order.\nAnswer: 12, -2, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072622355?\nAnswer: 3, 5, 7, 283, 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(475) + -1*sqrt(475) - sqrt(475)) + 1 - sqrt(475)) + 0 - (5 + -3*(-4*sqrt(475) + sqrt(475))))**2.\nAnswer: 440*sqrt(19) + 57488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose s*l = l + 4. Let m(d) = 4*d - 5*d - 4*d + l*d. Let v(h) = 2*h**2. Calculate v(m(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffll when four letters picked without replacement from {l: 4, f: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8379 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**2 - 10. Let c(u) = -1903*u**2. Determine s(c(r)).\nAnswer: -54321135*r**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 735, 1465, 2193, 2919?\nAnswer: 3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117771*m**3 + 5599*m**2 + 9?\nAnswer: 706626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204824 - 204823. Let v = 8.7 + -1.7. Which is the smallest value? (a) -4 (b) i (c) 1\/4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*z = -128*z - 105 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-147)\/(-120) - 6\/(-30). Let y = a + 3\/40. Suppose -3 = m - 4*m. Is m not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 5*h - 11, -401*x + 3*h = -398*x - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((150\/35)\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/6)*p*p*p*p*p**(2\/15)*p*p assuming p is positive.\nAnswer: p**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5914 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + 2 + 2 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -0*v. Suppose 3*a + v*a - 15 = 0. Suppose 3*g = a, -4*r = 3*g - g + 6. Is 0 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21928, -43852, -65776, -87700?\nAnswer: -109624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17705.92 - -17706. Let s = 12 - 36. Is o greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(-2))\/(-6 + (-76)\/(-8)) and 23\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 + 6*n - 3. Let l(v) = v - 16*v**2 - 20*v**2 + 39*v**2 + 2 - 6*v. What is -4*b(p) - 5*l(p)?\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28245730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {y: 4, d: 7, e: 5, x: 3}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 4082856?\nAnswer: 32662848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -140, -159, -194, -251, -336?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3083 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:13 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11607509 to the nearest integer?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 12*a + 42, l + 7*a = 8*a + 11. Solve -l*h = -0*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195108*i*j**2 + 539*j**2 - 573*j with respect to i.\nAnswer: -195108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 110 = -2*d, -110 = -5*j + 5*d - 3*d. Suppose 10*q + 2 = j. Solve 5*x - 34 = 3*g, g - 3*g = -q*x + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 5438 + 93*z**2 - 5438 as l*z + s + m*z**2 and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*x**3*z**3 + 17*x**3*z - 16*x**3 + 1705*x*z**4 - 16*z**4 - 2*z**2 + 239*z wrt z?\nAnswer: -324*x**3 + 40920*x*z - 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 3*s**2 - 5*s + 3. Let m(c) = c**3 - 4*c**3 + 5 + 5*c**2 - 8*c + 3*c**3 + 2*c**3. Give -8*j(w) + 5*m(w).\nAnswer: 2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 3014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let a(p) = 2*p**2 - 2*p + 1. Let x be a(2). Suppose x*v + 17 = -k, -2*v + k - 3 = 1. Put n, 0, v in decreasing order.\nAnswer: 0, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.12 (b) -1\/3 (c) -0.135 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 1, g: 2, w: 4, e: 4}. Give prob of sequence bgee.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 35*l - 60. What is the hundreds digit of v(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v. Solve v = f + 4*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -45*y - 8. Suppose -6*d + 4*x + 199 = -3*d, -x + 5 = 0. Let r = -82 + d. Is p(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 12. Let n be k(14). Let y be 2\/5 - (-48)\/n. Let t be ((-3)\/10)\/((-6)\/5). Which is the nearest to t? (a) 4 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + t**2 - 66*t - 60 + 31 to the form i*t + f*t**2 + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-48)*9*-20*(-15)\/225.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(0*g + 3*g - 4*g) + 487407*g - 730 + 487406*g - 974799*g to w*g + j and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81 and 0.048619.\nAnswer: -80.951381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -107. Let i = m + -24.5. Round i to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6650229 less than 2.3?\nAnswer: 6650231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 - 69957*c = 0. What is c?\nAnswer: -23319, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 41 = 2*a. Let j be (-18)\/(-16)*(a + 3). Factor -9\/4*y + 3\/4 - 3\/4*y**3 + j*y**2.\nAnswer: -3*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279*-0.03.\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.0994 * -13\nAnswer: -40.2922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k - 349. Determine n(3).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198624 or -198536?\nAnswer: -198536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 19*k**2 + 32*k + 35. What is q(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q + 2. Let z be g(7). Solve -z*r - 16 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5 = d. Let n be ((-9)\/6 + 2)*d. Which is the nearest to n? (a) -3 (b) -0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3\/(-1 - -4)). Suppose s + t = 4*d + 6, -2*s + 5*d + 10 = 0. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((23 + 2)\/(-700))\/((66\/(-308))\/((-3)\/(-4))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, -1\/3, -1950, 5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008543 to five decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260 - -486. Let q = -222 + d. Let a be (-3 - 1)\/(-2) - 2. Solve t + s - 2 = -a, -q*t + 7 = 5*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 3*o + 2. What is the units digit of l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 5*a + 9. Let b be y(2). Let i(h) = -4*h - 36. Let v be i(b). What is the units digit of -12 - -117 - (4 + 0 + v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*n**2 + 112*n - 157*n**2 - 112*n + 224*n**2.\nAnswer: 477*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16678870 at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t - 3. Let p be h(-3). Let b = -9 - -13. Suppose 0 = 3*i - 3. Solve -p = b*n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9621000 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*f - 97 = 0, -4*y + 4*f + 128 = 7*f. Let i = 125 - 111. Calculate the greatest common factor of y and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**19*l**(-27) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q + 12*q = 89059. Let k = q - 1355. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:55 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -19. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 6. Let h be m(0). Let x(s) be the first derivative of 7\/10*s**2 - 2\/5*s + 2\/25*s**5 - 1\/30*s**h + 1\/10*s**4 - 2 - 8\/15*s**3. Factor x(t).\nAnswer: -(t - 1)**4*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 e when three letters picked without replacement from eeelwwf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -19, -26, -33, -40, -47?\n\"Answer: -7*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355349243*x - 355349243*x + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxxxx. Give prob of sequence xm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002825102 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 359277425 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60521147 to the power of 1\/2, to the nearest integer?\nAnswer: 7780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19817 and 1157879?\nAnswer: 8105153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 1, b: 3, t: 1, v: 4, s: 1}. Give prob of sequence bt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 411900 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04928 - 0.03928. Suppose d - 10 = 3*d. Which is the nearest to 1\/3? (a) h (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19980 - 8552. What are the prime factors of m?\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -846 - -1775. Which is smaller: -0.5 or o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -12\/82871?\nAnswer: -12\/82871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**3 - 4*c**2 + 0*c**2 - 6*c**2.\nAnswer: 25*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -101657, 0, -932?\nAnswer: -101657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1696748\/7, -2, 0.1.\nAnswer: -1696748\/7, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(189)\/sqrt(7) + -5)**2*1.\nAnswer: -312 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from nncncccbbbgnnbncnng.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.67 - 0.07. Let t = 1 - s. What is the nearest to 2\/7 in -2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 150551561?\nAnswer: -150551603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.2, -2\/5, 2, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 148 = -4*v, -5*v - 5*u + 99 + 41 = 0. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 2345?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 + 3*n - 2. Let y be h(-3). Let g = -43 - -40. Let v be 2\/g - (80\/(-12) - 4). What is the greatest common factor of v and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(396)*3 + (sqrt(11) - 5*(sqrt(33)\/sqrt(3) - sqrt(11)))) - ((sqrt(891) - sqrt(891)*-1*-5) + -2 + (sqrt(891) - 1*sqrt(891))))**2.\nAnswer: 68*sqrt(11) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44632 by 866.\nAnswer: 22316\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.26 plus -13035729889?\nAnswer: -13035729893.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92579 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/60 - 107*o**5\/30 + 211*o**4\/12 - 35*o**3 - 1206*o**2. Factor y(i).\nAnswer: 2*(i - 105)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 - 13*p**4\/12 - p**3\/6 - 19*p**2\/2 - 102*p. What is j(13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4316688 divided by 479632?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) -1 (b) 4\/5 (c) -0.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77872825 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10396373\/687 - 15133. Let f = s - -1348\/8931. Let u be (-60)\/135 + 4\/72*26. Is f at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/6)\/((-4)\/8). Calculate the greatest common factor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 - 10*c - 2*c**2 - 2*c**3 + 2 + 5*c**3 to the form z*c**3 + f*c + b*c**2 + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1185231 and -0.1.\nAnswer: 118523.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 684478793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 265417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -39354483563.\nAnswer: -39354483563.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.93 + -0.07. Let h = 17 + -20.1. Let f = -3 - h. Put l, -3, f in decreasing order.\nAnswer: f, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.16787 - -0.03513. What is j rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 - 3*k - 2. Let m be l(-3). Let z be (m + 1)\/((-2)\/14). What are the prime factors of (0 - -1)\/(z\/315)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 - b. Let k be w(4). Let y(z) = -z**3 - 3 + 3*z - 5*z**2 - 6*z - 4 + 3. Determine y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092 divided by -156\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431020 (base 5) in base 11?\nAnswer: 5294a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 14 = -34. Find the third derivative of 23*u - 23*u - d*u**2 + 3*u**6 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 2433?\nAnswer: 17031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 + 1 + 1. Let z = -1 + s. Suppose 3*l - 2*y + z = -1, -18 = -l - 4*y. Solve 3*t = 4*i - 13, 2*t = -i + l*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 10:59 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1. Suppose -5*t = 4*w + 44, 4*t + 18 = -w + t. Let q(g) = -g**3 - 6. Determine w*z(u) + q(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3587 and 61\/680?\nAnswer: 143480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 5*o**2 + 3*o - 2. Let j be r(-2). Solve j*p - 2*s - 2 = 0, -4*p + 0*p + s + 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913 divided by 3.\nAnswer: -913\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0 + 1\/3*i**3 + 3*i + 0*i**2. Give r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 5*g**2 + 38*g + 23. Let l(u) = u**3 - 3*u**2 + 19*u + 11. Let f(c) = 13*l(c) - 6*r(c). Let z be f(5). Factor -3 - k**2 + 4 + 0 + z.\nAnswer: -(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2134.759 + -848563.\nAnswer: -846428.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000011 (base 2) in base 7?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, 2929, 9860, 23359, 45616, 78821, 125164?\nAnswer: 186835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5687288 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/40)\/((-2)\/(-16))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36114695201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - -15) - 0 - (-867 + 894)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w**7 - w**2 + 0*w**3 + 0 + 0*w + 0*w**5 - 1\/24*w**4 + 0*w**6 - 1\/84*w**8. What is the second derivative of x(s) wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**4 - 3*i**5 - 58*i + 10736775*i**3 - 10736776*i**3 + 34*i**5 wrt i?\nAnswer: 620*i**3 - 72*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2164*z + 2475598. What is w(1144)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 26 - 2 = 0. Let m(k) = -k**3 - 26*k**2 + 21*k - 56. Let p be m(-27). Let f = p + -105. Sort -3, f, -5, h in ascending order.\nAnswer: h, -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -313*o**4 + 236 wrt o?\nAnswer: -1252*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 24 = -4*i. Suppose 3*d - 5*v - 55 = 0, 21*v = 5*d + 17*v - 109. Solve i*m - 11*m = -d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -1, -2035, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 - 144*n**4 - 836*n**3 + 37632*n**2 + 182992*n - 219648 = 0. What is n?\nAnswer: -13, -6, 1, 22, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Are 1653 and 1665 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75002887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -3 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/160 and -67\/8016.\nAnswer: 80160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c**2\/4 - 51*c\/4 - 2205\/2 = 0. Calculate c.\nAnswer: -10, 147\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/12 - 7*n**5\/60 + 7*n**4\/24 - 7*n**3\/6 + 35*n**2. Let o(c) = -3*c**3 + 2*c**2 - 2*c + 2. Give 7*o(m) + 2*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = -4*z, -2*b - 6 = -b - 4*z. What is the tens digit of (6\/b - -3) + 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572 + 141 - 387*d**3 + 199*d**3 + 190*d**3.\nAnswer: 2*d**3 + 713","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6126800*s**2 - 2*s - 15 + 15 + 7*s**3 + 6126778*s**2 to l + q*s**3 + n*s**2 + d*s and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*v + v + 4*k, 0 = -4*v + 3*k + 3. Let n(s) = s**3 - s**2 - s + 7. Determine n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*1\/(-7)*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19829*h**3*j**3 + 4*h**3 + 2*h*j - 3*h - j**2 + 19*j wrt j.\nAnswer: -118974*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1066 in -2\/9, -0.3, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -419\/1064 - -5\/266. Find the common denominator of 51\/(-32) + (-4)\/(-8) and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2 + 29*v - 111. Calculate the remainder when 179 is divided by r(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 8*z - 22*z + 17*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)*-2)\/sqrt(12))\/(sqrt(24)\/(sqrt(3)*1)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*a + 33, d + 3*a = -0*a - 13. Solve -23 = -5*t - 2*l, 5*t - 2*l - 29 = d*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2\/8)*(-130)\/20. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -410*s**2 + 99*s**2 - 128*s**2 + (2 + 2*s - 2)*(3 + 3*s - 3).\nAnswer: -433*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.08757 millilitres?\nAnswer: 0.08408757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*p**3 - 17840*g*p**2 - g*p + 3320094*p**3 - 7*p**2 wrt p.\nAnswer: 6*g + 19920564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 18490 + 18489 = -2*i, -4*h - 14*i = 110 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8958607?\nAnswer: 7, 1279801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k*x**2 - 12*k*x - 146*x**2 - 28 wrt x.\nAnswer: -10*k - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z - 53. Let f be s(9). What is the tens digit of 76\/f - -2*4\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2221 - 5?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, 1\/5, -8600.\nAnswer: -8600, -1\/3, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 12628.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65331, -130663, -195993, -261321?\nAnswer: -326647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21992 + 106?\nAnswer: 22098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51448 and 142354?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let o(z) = z**3 - 2*z**2 - 2*z - 1. Let u be o(3). Let s(d) = u*d - 2*d - 2*d. Determine y(s(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7192621040 to the power of 1\/3, to the nearest integer?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69.979 - 69. Let l = f - 1.2096. Let z = l - -0.23. Round z to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 3*s + 7. Let v be (15\/6)\/((-4)\/(-8)). Let o be v\/((12\/3)\/4). Determine f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/18 - 23*l**3\/3 - 370*l**2\/3 - 2003*l. Solve g(o) = 0 for o.\nAnswer: -5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h + 5. Suppose 0 = -h*v - 4*w + 8775, -3*v + 6*v + w - 5258 = 0. Let b = v + -94. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/(-1*2) - -5*48\/(-120). Solve c*h = -49 - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 + 2*q - 8. Let d be b(6). Suppose -2*p + 0*p = -32. Suppose 0*r + 2*r = p. What is the greatest common factor of d and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244*g**2*q**3 + 2*g**2*q + 43*q**3 + q**2 wrt g?\nAnswer: -488*g*q**3 + 4*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 1?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 14*z - 21. Let l be q(2). Which is the nearest to -1? (a) 0.2 (b) l (c) -3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3\/4, -0.41, -6, -0.6, 5 in descending order.\nAnswer: 10, 5, 3\/4, -0.41, -0.6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -323*(-10)\/782.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.96172 plus -0.14441?\nAnswer: -4.10613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukjlujkjujjjkuu. What is prob of picking 4 u?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/(-35)*(-2 + (-159)\/(-6)). What is the greatest common divisor of r and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2182656 and 35760.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 21*h + 4*h)*(-h + 1 - 1) + (-2*h + 4*h - h)*(-5*h + 3*h + h) - 5*h + 8*h**2 + 5*h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1177700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x**4\/7 - 6*x**3\/7 + 18*x**2\/7 + 6*x\/7 = 0. Calculate x.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - s = 3*x + 12, 5*x + 3*s + 22 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g - 4. Let t be z(4). Suppose -30 = -t*u - 3*u - 3*a, 2*u - 20 = 4*a. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8973094 and 9195?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-15) + (-1)\/5. Suppose 5*z = a - 0*z - 9, 5 = 2*a + w*z. Suppose -a*y + 91 = 19. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:09 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 13\/((-182)\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 22*v - 21*v - 1 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/(6\/(-4)). Let p = -0.606 + 0.206. Which is the second biggest value? (a) p (b) x (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:07 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002490530822 rounded to 6 dps?\nAnswer: -0.002491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-324)\/(-15) + (-9)\/15. Let d be (-12)\/q - (159\/(-21) - 0). Solve -1 = k - m, 4*m = -2*k + 9 + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 152. What is t(39)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22597, -45195, -67795, -90397, -113001, -135607, -158215?\nAnswer: -180825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 41 = -4*m, 12 + 15 = 3*m + a. Solve g - 16 = 3*y, -3*y + 0*y = 5*g - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/10)\/((-39)\/26). Which is the nearest to -3? (a) 1 (b) n (c) 8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5) + 3 - sqrt(49)\/sqrt(112) - 5*-2*(-1 + sqrt(7)))*1)**2.\nAnswer: -301*sqrt(7)\/2 + 13727\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4 - 77\/(-4). Suppose -3*f - 4*k + 136 = 0, -f - k + s = -6*k. Let j = f + -21. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*x = -62, 0 = 4*m - 4*x - x - 82. Let q(v) = v**3 + 6*v**2 - v - 5. Let y be q(-6). Find the common denominator of -93\/10 and y\/3 + (-20)\/m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:29 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-247)\/(-468) - (-27)\/36).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-35)\/14?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/4 - c**2\/2 - 215. Let d(o) = 7*o**3 - o. Calculate -d(p) + r(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 smaller than 231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/10)\/((-1)\/(-5)). Let i(x) = x**3 - 2 - p*x**2 + 4 + 3*x + 4*x. What is the units digit of i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141350000 rounded to the nearest 1000000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 0.1, -2, -2\/33, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4727 + 6238 = 51*k. Calculate the highest common divisor of k and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 3*s**2 - 4. Let f(z) = 3*z**3 + 5*z**2 + 8. Determine -3*f(t) - 5*v(t).\nAnswer: t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.4132 to zero dps.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihfjjxxjfxhfgih. What is prob of picking 1 x, 1 f, 1 j, and 1 g?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4e2e8 (base 15) to base 3\nAnswer: 110201111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 736*k**2 - 163*k - 1333. List the prime factors of q(-10).\nAnswer: 73897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450412249 rounded to the nearest ten thousand?\nAnswer: -450410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let s be j(-6). Suppose -2*x + 6*x - s*a + 2399990 = 0, 5*a - 1199990 = 2*x. What is x rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -0.06.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r + 6. Suppose v = 11*v - 30. Let m be h(v). 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: Find the second derivative of -t - 100*t**5 + 5*t + 84*t wrt t.\nAnswer: -2000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*y - 25 + 43, y = -4*t - 6. Suppose 0 = 5*a + 2*v - 65, y*v + 19 + 4 = 3*a. Solve -a*w = -8 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1095 + 1090. What is the smallest value in 3\/7, -120, d?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2 - 15 - 15)*(2*a - a + 0*a).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - 0.044. Let k = -342.724 - -341. Let h = k - j. What is h rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**3 + 7 - 23*j**3 + 42*j**3.\nAnswer: 4*j**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (122\/412)\/(283\/27734).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*n**3 + 391*n**2 + 13872*n + 244*n**3 + 17*n**2 + 157216 = 0. Calculate n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2620 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128, 106, 84?\n\"Answer: -22*r + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58624, -117037, -175434, -233809, -292156?\nAnswer: -350469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:56 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8897761936.\nAnswer: 2, 7, 331, 389, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194987190?\nAnswer: 2, 3, 5, 6499573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 96 - 27 = -3*u, 4*u = 3*x - 104. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 7:00 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4299*g**3 - 3 + 4294*g**3 + 1.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**2 + 0*k**2)*(k + 4*k - 4*k) + (-k**2 + k**2 - k**2)*(-2 + 2 + 2*k) + 2*k**3 + 5*k**3 + k**2 + 0*k**3.\nAnswer: 9*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330441 and 3634.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/12, -3, -17 in increasing order.\nAnswer: -17, -3, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**2 + 122*m - 3. Let r(x) = x**2 - x + 1. Let k(v) = h(v) + 3*r(v). What is the second derivative of k(a) wrt a?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 6445979260280?\nAnswer: 6445979260279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12756479341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05033 + 29.56033. Let q = 29.5098091 - s. Round q to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111220 (base 3) to base 8\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = 4*b - 17, 1 = f. Factor 6*u**4 - 2*u**3 - u**b - 2*u**4 - u**5.\nAnswer: -u**3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787399 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*w - 9006, 7*q - 15 = 4*q. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*((-15)\/(-9))\/5. Let x(k) = 1 - 5*k**2 + 3*k**2 + 3*k**2 + 3*k**2. What is the units digit of x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (-1)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*o + 279*o + 225*o - 605*o.\nAnswer: 165*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -6. Let a = 32 + d. What is the remainder when 117 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -455 - -972. Let a be (-2)\/6 + y*(-3)\/(-9). Let t = 2375 - a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 5*u**2 - 2*u - 1. Let a(i) = -32*i**3 - 34*i**2 + 8*i + 4. Calculate -a(x) - 4*s(x).\nAnswer: 28*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) - sqrt(18)\/sqrt(9))**2 - (-1 + sqrt(2) + 3)**2.\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4866 + -4864. What is the second biggest value in -0.4, -0.12, k, 3, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 37439326\nAnswer: 11231797.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 1. Let h be c(3). Solve h*r = 1 + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/9*18\/45. Which is the closest to p? (a) -0.4 (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13167, -13166, -13165?\n\"Answer: r - 13168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.662 - 4.612. Which is the smallest value? (a) 3 (b) -5\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 28685*r**3 - 1718700*r**2 + 34358000*r - 229000000 = 0.\nAnswer: 20, 28625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:25 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2431\/(-17))\/11)\/(0 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g + 10 = 0, -5*b - 4*g = -32. Let d = b + 693. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 11 - 3 - 158*k**3 - 8 + 33 to i + r*k + u*k**2 + f*k**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - 0.109965. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/495180 and -31\/20640.\nAnswer: 170341920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(43*o**2 + 81*o**2 + 10*o**2 + (1 - 2 + 2)*(o**2 + 1 - 1)).\nAnswer: -270*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.054 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74784, 74738, 74692?\nAnswer: 74646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.16 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p**4 + 4*p**2 + 0 + 1\/30*p**5 + 0*p**3 + 0*p. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.14?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/755 and -23\/16035?\nAnswer: 2421285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201200000220 (base 3) in base 12?\nAnswer: -59b159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + w - 1 = -2*w, 2*z + w - 3 = 0. Suppose 14 = -2*r - z*f - 0*f, 4*r = -f - 13. Sort -5, r, 1.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6276924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 460. Give q(-50).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*w + 54914 = -12*w - 28471. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14115 is divided by 403?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.0577 + -0.1543. Round a to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -583\/4 + 98519\/676. Let u = g - 499\/676. What is the smallest value in u, -0.5, -1\/3, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*8\/(-16)*(-6 - -4). Solve 12 = 4*r - 4*c, -p*r + 5*r = -c + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/11 + 23\/33. Suppose 6*i - 25 = -5*j + 10*i, 4*j - 20 = -3*i. What is the nearest to 0 in o, -3\/7, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 7325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68053515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 4, i: 12, j: 2}. What is prob of sequence inj?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/6*(198 - 3)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 6*k + 4. Let g(a) = a - 4. Let x(f) = -f + 3. Let n(o) = -3*g(o) - 4*x(o). What is the lowest common multiple of c(-6) and n(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-4) - (4 + 68\/(-16)). Let i be 8 - (-1 - -1 - 6\/m). What is the highest common divisor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -59. Let t(q) = -q**2 + 6*q - 4. Let j be t(s). Put 8, j, 1, -1 in descending order.\nAnswer: 8, j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103837.32 to the nearest ten.\nAnswer: -103840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 214117299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 - y - y + 2*y**4 - 13*y**4 wrt y?\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53913, 54104, 54295, 54486, 54677, 54868?\n\"Answer: 191*f + 53722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1. Let p(q) = -14*q + 28. Let r(b) = -28*l(b) + p(b). Let h(k) = -4*k**2. Calculate h(r(v)).\nAnswer: -784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -32. Suppose 100*s - 97*s = -66. What is the common denominator of -3\/8 and 156\/s*m\/48?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -768, -1573, -2380, -3195, -4024, -4873, -5748?\n\"Answer: -y**3 + 5*y**2 - 813*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o - d = -753, -4*d = -3*o - 762. Let r be (o\/(-6))\/((-1)\/(-216)). Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 92 (c) 681\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 + 17*t - 6. Let o = 16 - 33. Let s(q) = 2*q**3 - 6*q - 4 + 1 + 5. Let p(v) = o*s(v) - 6*j(v). What is the first derivative of p(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9 and -22\/67887651.\nAnswer: 203662953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -93*(-1 - (3 + -3)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.099821 rounded to 2 dps?\nAnswer: 90.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 smaller than -385071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (308 + 1)*95\/(-19). Let t be m - ((-4 - -1) + -2). What is t rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g + 110. Let c be r(20). Suppose -9 = -2*m + 3. Calculate the remainder when (2 - -13)*c\/(-75) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-296)\/(-222) - (-1)\/(-1). Suppose 2*f - 1 = 3*f. Let p = f - -5. What is the closest to b in 0.4, -0.5, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldxxldxnwd. What is prob of sequence xxxd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198118189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10351.\nAnswer: 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-1 + -1 + sqrt(396) + -4 + (-2*sqrt(396)*6 - (sqrt(396)*1 + sqrt(396))*-3))*-3)**2.\nAnswer: 3600*sqrt(11) + 89500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1187977*d**2*u**2 - 36977*d + 3*u**2 wrt d?\nAnswer: -2375954*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 8*h - 10*h + h + 3*h - 1 + 0*h - 2 - 2*h + 2 + (h + h + 0*h)*(6 - 2 - 2) + 2*h + 1 - 1.\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1216)*-1*-5 - (sqrt(1216) + -1 + 0)))**2 + 1.\nAnswer: 320*sqrt(19) + 19482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 21*p**2 - 15*p - 6 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 14*l + 7128. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2155534 - 10?\nAnswer: 2155524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6706, 6840, 6972, 7096, 7206, 7296?\n\"Answer: -w**3 + 5*w**2 + 126*w + 6576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i + 3. Let y be o(-6). Solve -3*r = -0*r - y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z**4 - 4*z)*(10*z - 13*z + 6*z) + (1 - 1 - 2*z)*(-z**4 - z**2 + z**2) + 3*z**5 + z**5 - 3*z**5.\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1\/3983, 0.3 in increasing order.\nAnswer: -1\/8, -1\/3983, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(3*f - 5*f - 2*f)*(2 - 1 - 7).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 + 2840*b**2\/7 + 36468*b\/7 + 114840\/7 = 0.\nAnswer: -87, -66\/7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -878ac4 (base 14) to base 4\nAnswer: -101201332010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) -239 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1289436, -1289436, -1289410, -1289346, -1289232?\nAnswer: -1289056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42601 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -6. Suppose 4*x = 3*t - 6, 4*t - 57 + 49 = x. Put w, x, -1 in descending order.\nAnswer: w, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q**2 - 3*q - 2*q**2 + q**2 - q**3 + 3 - 4*q**2. Let l(u) = -u**2 + 6*u - 2. Let z be l(5). Suppose -5 - 7 = -z*c, 2*o - 4*c + 24 = 0. Give r(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18756418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288039*j*l**2 - 53724*j*l - 2*j + 5*l wrt l.\nAnswer: -576078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 6 = -2*b, -w = 1. Let c be 3 + 0 + -1 + -7. Sort b, 4, c in decreasing order.\nAnswer: b, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100421, 100451, 100491, 100541, 100601?\nAnswer: 100671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312428282 rounded to four decimal places?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2561.\nAnswer: -2561, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 19 + 2*u - 21 - 3*u + 0*u. Determine b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665 = 228*a + 787 + 2880 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-2)*(-1)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:57 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 3*v - 3. Let o(p) be the third derivative of p**4\/8 + p**3\/3 - 25*p**2. Calculate -3*o(a) - 2*w(a).\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:44 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 5)*(0*u**2 + u**2 + 0*u**2) + 130*u**2 - 66*u**2 + 48*u - 63*u**2.\nAnswer: 13*u**2 + 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 9655290*w**2 - 11653121571696*w - 104877312068232 = 0. Calculate w.\nAnswer: -2413818, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4566.53 and -7032?\nAnswer: 11598.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 683884707 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 2 in increasing order.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53801754?\nAnswer: 2, 3, 8966959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5 = 3*j - 17, -2*w - 2 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0 + 22*a**2 - 7*a - 9*a**2 - 2. Let c(g) = 7*g**2 - 4*g - 1. Let d be ((-30)\/40)\/((-3)\/12*-1). Calculate d*m(i) + 5*c(i).\nAnswer: -4*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501*v**3 - 19*v + 448087 wrt v.\nAnswer: -1503*v**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/72388 and -19\/16140.\nAnswer: 292085580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 110. Let s(y) = -y**2 + 8 + 2*y**2 + y + 5*y. Let v be s(f). Solve 0 = -2*h + 3*x + v, 3*h + 3 + 23 = -5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 6. Is 7 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-1 - -13) + (-903 - -918) - (13 - 0)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= -1126466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -388 - -377. Is 3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 0, 2 = -2*y + 4*a + 12. Suppose -14*r + 68 = -9*r + 2*v, -y*r = 4*v - 66. Calculate the smallest common multiple of r and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105809 - 211692 + 105883 + 21*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 + 316. Sort -3, 5, h.\nAnswer: -3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1 + 10 + 498*b**2 - 8 + 2*b + 2*b. Is x(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12998581 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 - -5.69. Let t = 7.96 - p. Sort t, 0.2, -3, 7 in descending order.\nAnswer: 7, t, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*x - 660, 2*x - 7*x = 0. Let u be -7*((-4)\/(-10) + t\/(-105)). Suppose -235 = -u*k + 95. What is the remainder when k is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1112664 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12349974 and 187\/546.\nAnswer: 12349974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(15855\/280 - 50).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let o(q) = 114275115*q. What is j(o(w))?\nAnswer: 114275115*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 - 8*h - 2. Let y be d(-6). Let q = 429 + y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**5\/15 - j**4 - 16*j**3\/9 - 1476. Find q such that b(q) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 8) in base 16?\nAnswer: df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 17, 4, 5, 18, 55 in decreasing order.\nAnswer: 55, 18, 17, 5, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -380, -3, -15, 3 in ascending order.\nAnswer: -380, -15, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 43 = -3*k, -11*k + z - 69 = -16*k. Solve -k*m + 12 = -27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p - 107 + 22 + 50*p + 18 - 34*p - 99.\nAnswer: -p - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 3 = 0. What are the prime factors of n\/((20\/36)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117 and 161?\nAnswer: 18837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 1552 - 1552.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 4. Let v = m + 35. Let y be -1 - (-3)\/((-33)\/(-13)). Which is the biggest value? (a) v (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - -300. Suppose -z = -5*i + 231. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/84 + 11*d**3\/3 - 156*d**2\/7 - 5*d + 4. Find r such that n(r) = 0.\nAnswer: -156, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f*n**2 - 696*f*n + 158*n**2 - 2*n + 16 wrt f?\nAnswer: 4*n**2 - 696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2404*o + 10155. Is s(-121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24 + 35 - j + 3*j - 13. Let z be p(-19). Solve -4*a - z = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/5)\/u*u\/u**0*(u*u\/u**(2\/3))**12 assuming u is positive.\nAnswer: u**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Let l = 143 + -118. Suppose 5*j = -l + 35. Solve p*d = -j*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3152271 divided by -7.\nAnswer: -3152271\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 4*u**2 + ((3 - 2 + 0)*(-u + 2*u + u) - 2 + 2 + u)*(0*u + 0*u + u)*(-2 + 2 + 3) to the form h*u + m*u**2 + g and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 2 - 2 - 1 + o - 5*o - 15*o - 4*o + 0*o + 2*o + (1 + 1 - 1)*(-o - 4 + 4) - 3*o + o + 8*o to m + q*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -73. Solve -3*a + 1 = -2*y, 2 = a + 3*y - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 5*u = 8. Calculate the lowest common multiple of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, e: 9}. Give prob of sequence eqq.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 366 = -2*r + 1077, -2*u - 3*r + 479 = 0. Suppose -488 = u*g - 243*g. What is the remainder when g is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 80. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103594 and 16?\nAnswer: 828752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(24\/16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 533, 107, -603, -1597, -2875, -4437?\n\"Answer: -142*f**2 + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (46 - -83 - 83)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5490314712323 take away -2?\nAnswer: -5490314712321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 45 = -2*j, 3*j + o - 81 = -j. Let w = -24 - 341. Let i = -356 - w. Calculate the smallest common multiple of j and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5781, -8, 0.5, -76?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211212210111 + -10020?\nAnswer: -211212220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:39 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + k + 3 = 0, -3*k = -10*j + 13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 0 (b) -4 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-7*p + 16*p - 17*p)*(2*p + 0*p + p).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g - 9. Let q(l) = -3*l + 2. Let u(b) = -2*a(b) - 9*q(b). Let d(r) be the second derivative of -r**4\/12 + 181*r. Determine d(u(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6916\/(-117) - -61) + (-1 - 1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -437, -503, -585, -677, -773, -867?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 1072656*n + 143823861792.\nAnswer: 2*(n + 268164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-56)\/16)\/((-2)\/372)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 0.2 (c) -0.1 (d) -1.225 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.553 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50548 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: Two letters picked without replacement from {d: 1, a: 2, x: 2, j: 1, s: 1}. Give prob of sequence jd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831 - 641 = -16*u. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2715 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/432 and 145\/972.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -869*m**2 + 6*m + 2. Let i(d) = -1737*d**2 + 14*d + 5. Give -2*i(x) + 5*j(x).\nAnswer: -871*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -277*n**7\/70 + n**5\/30 + 69*n**4\/2 - n**3\/6 - 58*n**2 - 19. What is the third derivative of b(z) wrt z?\nAnswer: -19944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -17. Which is the nearest to m? (a) 21 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-2*-6)\/(sqrt(20)*-1)*6.\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4))\/(-5)*(-8)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0062 and -0.375.\nAnswer: -0.3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*8\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4039915*w**3 + 2019956*w**3 + 2019953*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 103, 223, 389, 601?\n\"Answer: 23*q**2 + 5*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168013 is divided by 6933.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyibyihayjya. What is prob of picking 1 i, 1 b, and 1 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 3*k**3\/2 + 3*k. Let s(x) = 2*x**2. Give s(v(z)).\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43\/2? (a) -0.006 (b) 216 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -43*j - 311, -822*j - u + 23 = -825*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 197406508119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = h, -2*p - 1 = 3*p + 4*h. Let w be ((-1)\/4)\/(p\/4). Solve -b + 3 = -w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, d: 2, b: 3}. What is prob of picking 1 b and 2 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 103.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**3 + s + 3. Let j(x) = x**3 + x**2. Let o(d) = -5*j(d) - k(d). Let f be o(-5). Suppose 5*q = f*q + 39. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6974854, -13949743, -20924632, -27899521, -34874410, -41849299?\n\"Answer: -6974889*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 1505*u - 145454. Give y(371).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - i + 42 = 2*i, -i - 42 = 2*f. Let d = 25 + f. Differentiate d*m - 12*m + 12 + 6*m + 6*m with respect to m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15497 + -8260. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22989847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h + 5*h = -112 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 14. Is (-331)\/(1\/(c\/3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*m - m - 990 = 0, -196 = -n - m. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*a - 7*a**2 - 45*a + 8*a**2 - 47*a + 6*a**2 - 46*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/56 + (-102)\/144)\/(28\/36).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 94*b**2 + 1763*b - 346. What is r(-68)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y**2. Let c(o) = -o**3 + 7*o**2 + 2*o - 8. Let i be c(7). Let x(k) = -16*k + 20*k - i*k. Calculate r(x(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - 245. Factor 6*n**2 - 39*n**2 + 72 - 12*n + 3*n**4 - 9*n**3 - g*n**2.\nAnswer: 3*(n - 6)*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 305796964951 - 305796964951.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + -1*sqrt(210))\/sqrt(7))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 82*i - 73*i. Calculate the remainder when 903 is divided by i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 4, 1182, -3\/7 in ascending order.\nAnswer: -3\/7, 2\/15, 4, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + 2*f**4\/3 - 7*f**3\/6 + f**2 - 3*f. Let i be o(7). Solve 3*d = 4*w - 2 + 28, 20 = -i*w + 5*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.9. Let v = -0.6 + y. Let n = -0.02 + 1.02. What is the closest to -1\/2 in 2\/13, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.678 rounded to 1 dp?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5297?\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*43\/(2365\/231).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 179340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350032 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.89 - 0.11. Let v = 151 + -79. Let t = v + -74. Which is the second smallest value? (a) l (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610181 rounded to the nearest 1000?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3602 and -93\/4.\nAnswer: 7204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97.2789l?\nAnswer: 97278.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 3\/46, 3\/2, 4\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:14 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhnxahhnyhxhhhhhauh. Give prob of sequence xuy.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575 + 1155 - 580 + 12*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38607264 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152951 is divided by 1233?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9594150*n**3 - n**2 + 77*n + 29064?\nAnswer: -57564900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3494 - 15*i - 3493 - 8*i + 6987.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -677 - -683. Let q be 27\/36*8\/i. Let f(m) = -38*m**3 + m**2 - m. Calculate f(q).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*d + 38*d - 224*d - 34 - 5*d - 2*d**2 wrt d.\nAnswer: -4*d - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/12 + 10\/6)\/(8 - 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 7) to base 8\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 646640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10198 by 995.\nAnswer: 10198\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206046108 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g - 97*g - 185 + g**3 - 27 + 33*g.\nAnswer: g**3 - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 210, 315, 420, 525?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(7) - sqrt(10))*-1)\/(4*sqrt(242) - sqrt(242)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012020210 (base 3) in base 4?\nAnswer: 110022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 42. Let n = 21.5 + l. Which is the nearest to 0.1? (a) 5 (b) n (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -8\/3*s**3 + 9 - 3\/2*s**2 + 6*s. Let u(o) = 7*o**2 + 3*o - 5. Calculate 6*u(y) + 5*z(y).\nAnswer: 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:25 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(180) - (-1 + sqrt(180))**2) + sqrt(180)) + -3 + 2.\nAnswer: -1091 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:27 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6415552 divided by -9152.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 899 - 640. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43301851 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - -657\/4. Suppose 3*s + 4*r = 26, 0 = -11*s + 9*s - 5*r + 22. What is the third smallest value in t, s, -18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318630259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36005*b**5 - 7*b**2 + 18*b + 9 wrt b?\nAnswer: -2160300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*a**3 + 0 + 0.\nAnswer: 309*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 3*z**2 + 4*z**2 - z**4 + (3*z**3 - 4*z**3 - z**3)*(-z + 2*z + 0*z) in the form j*z + c + l*z**4 + o*z**2 + m*z**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}